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Index of articles
Pilot issues 1 and 2 (January and May 1990)
Vol. 1 Nos. 1–4 (September/October 1990–March/April
1991)
Vol. 2 Nos. 1–6 (September/October 1991–July/August
1992)
Vol. 3 Nos. 1–6 (September/October 1992–July/August
1993)
Vol. 4 Nos. 1–6 (September/October 1993–July/August
1994)
Vol. 5 Nos. 1–6 (September/October 1994–July/August
1995)
Vol. 6 Nos. 1–6 (September/October 1995–July/August
1996)
Vol. 7 Nos. 1–6 (September/October 1996–July/August
1997)
Vol. 8 Nos. 1–6 (September/October 1997–July/August
1998)
Vol. 9 Nos. 1–6 (September/October 1998–July/August
1999)
Vol. 10 Nos. 1–6 (September/October 1999–July/August
2000)
Vol. 11 Nos. 1–6 (September/October 2000–July/August
2001)
The articles are listed in alphabetical order by title. You
can use your web browser’s “Find” function
to search by author, title, description, department, or date
(see the format used below).
Note: In addition to the articles listed
below, each issue of Quantum contained math and physics
problems, “brainteasers,” a solution section,
a department called Gallery Q that tied works of art to topics
in the magazine, a chess column (in the early years), and
a science crossword puzzle (from November/December 1992 on).
A
About the Triangle (it may be the simplest
polygon, but it gave rise to an entire branch of mathematics),
Mar/Apr00, p31 (Kaleidoscope)
Algebraic and Transcendental Numbers (2/3,
e, √2, π—things like that), N. Feldman,
Jul/Aug00, p22 (Feature)
An Act of Divine Providence (Kepler excerpt), Yuly
Danilov, May/Jun93, p41 (Anthology)
Adding Angles in Three Dimensions (taking a plane
theorem into the realm of polyhedrons), A. Shirshov and A.
Nikitin, May/Jun97, p46 (At the Blackboard)
The Advent of Radio (why radio was invented when it
was), Pavel Bliokh, Nov/Dec96, p4 (Feature)
Adventures Among Pt-sets (math challenge),
George Berzsenyi, Mar/Apr91, p55 (Contest)
The Adventures of Hans Pfaall and Fatty Pyecraft (questionable
physics in stories by Poe and Wells), V. Nevgod, Jan90, p14
(Quantum Smiles)
Against the Current (evaluating fluid resistance),
Alexander Mitrofanov, May/Jun96, p22 (Feature)
AHSME-AIME-USAMO-IMO (introduction to math competitions),
Nov/Dec90, p52 (Happenings)
Airplanes in Ozone (effect of high-flying aircraft
on stratospheric ozone), Albert Stasenko, May/Jun95, p20 (Feature)
Alexandrian Astronomy Today (the method
found by Eratosthenes in the third century B.C. still works),
Case Rijsdijk, Sep/Oct99, p35 (At the Blackboard)
All Bent Out of Shape (a look at many kinds of deformation),
Sep/Oct95, p32 (Kaleidoscope)
All Sorts of Sorting (classification algorithms),
P. Blekher and M. Kelbert, Jul/Aug97, p12 (Feature)
Always a New Face to Show (theorems about polyhedrons),
May/Jun93, p32 (Kaleidoscope)
The Amazing Paraboloid (double refraction and energy
redistribution), M. I. Feingold, Jul/Aug94, p40 (At the Blackboard)
The A-maze-ing Rubik’s Cube (a new variation),
Vladimir Dubrovsky, Sep/Oct91, p64 (Toy Store)
The American Mathematics Correspondence School (I.
M. Gelfand’s project for high school students), Nov/Dec93,
p51 (Happenings)
The American Regions Mathematics League (summer competition),
Mark Saul, May90, p56 (Happenings)
American Team Garners Six Gold Medals at 35th IMO
(report on International Mathematical Olympiad), Nov/Dec94,
p52 (Happenings)
Amusing Electrolysis (current thinking in chemistry),
N. Paravyan, May/Jun98, p41 (In the Lab)
An Ant on a Tin Can (finding the shortest path from
A to B), Igor Akulich, Sep/Oct97, p50 (At the Blackboard)
The Ancient Numbers Pi and Tau (approximating pi and
using the golden ratio tau), Jan/Feb91, p28 (Kaleidoscope)
Animal Magnetism (physics challenge), Arthur Eisenkraft
and Larry D. Kirkpatrick, May/Jun93, p28 (Physics Contest)
A. N. Kolmogorov (biographical sketch), Jan90, p38
(Innovators)
Anniversaries (satellites and science reform), Gerry
Wheeler, Nov/Dec97, p2 (Front Matter)
The Annual Puzzle Party (report and samples), Anatoly
Kalinin, Jul/Aug94, p56 (Toy Store)
Another Perpetual Motion Project? (a feasibility foray),
A. Stasenko, Jan/Feb99, p39 (At the Blackboard)
The Anthropic Principle (humans and the
universe), A. Kuzin, Jan/Feb99, p4 (Feature)
Anticipating Future Things (science education in 2044),
Bill G. Aldridge, Jul/Aug94, p2 (Publisher’s Page)
“Are We Almost There, Captain?” (Columbus’s
geographical problems), Glenn M. Edwards, Sep/Oct92, p52 (Looking
Back)
Are You Relatively Sure? (relativity in its many forms),
A. Leonovich, Sep/Oct96, p32 (Kaleidoscope)
Arithmetic Obstacles (analyzing the possibility of
moving from one position to another), N. Vaguten, Jul/Aug99,
p4 (Feature)
Arithmetic on Graph Paper (planar numbers, gnomons,
Pythagorean triples, and triangular numbers), Semyon Gindikin,
Mar/Apr95, p49 (At the Blackboard)
Around and Around She Goes (the motion of merry-go-rounds),
Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr98, p30
(Physics Contest)
An Arresting Sight (the stroboscopic effect),
V. Uteshev, Jul/Aug01, p30 (Now Showing)
As Easy as (a, b, c)? (Pythagorean
triples), S. M. Voronin and A. G. Kulagin, Jan/Feb99, p34
(Feature)
The Ashen Light of the Moon (the how, when, and why
of a faint lunar glow), Alexey Byalko, Sep/Oct96, p40 (In
the Open Air)
The “Assayer” Weighs the Facts (Galileo
excerpt), Yuly Danilov, Nov/Dec92, p43 (Anthology)
Atlantic Crossings (graphical method for motion problems),
A. Rozental, Jul/Aug93, p46 (In Your Head)
Atmospherics (physics of the Earth’s atmosphere),
A. V. Byalko, Mar/Apr91, p12 (Feature)
At Sixes and Sevens (math challenge), George Berzsenyi,
May90, p35 (Contest)
Atwood’s Marvelous Machines (physics challenge),
Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug93, p42
(Physics Contest)
Auxiliary Polynomials (solving equations
with polynomials), L. D. Kurlyandchik and S. V. Fomin,
Sep/Oct98, p42 (At the Blackboard)
Ax by Sea (actually, ax + by = c:
approaches to Diophantine equations), Boris Kordemsky, Nov/Dec96,
p22 (Feature)
B
Baby, It’s Cold Out There! (“cosmic cold”
and thermal radiation), Albert Stasenko, Mar/Apr92, p12 (Feature)
Backtracking to Faraday’s Law (threshold voltage
in electrolysis), Alexey Byalko, Jan/Feb94, p20 (Feature)
Bad Milk (a dynamic system gone sour), Dr. Mu, Sep/Oct97,
p63 (Cowculations)
Ballpark Estimates (Fermi problems), David Halliday,
May90, p30 (In Your Head)
Barn Again (a smooth move), Dr. Mu, Jul/Aug98, p62
(Cowculations)
Batteries and Bulbs (progressively more
complicated circuits), Larry D. Kirkpatrick and Arthur Eisenkraft,
Jul/Aug00, p32 (Physics Contest)
The Beetle and the Rubber Band (mind-stretching problem),
Alexander A. Pukhov, Mar/Apr94, p42 (At the Blackboard)
Behind the Mirror (measuring the thickness of the
reflecting layer), N. M. Rostovtsev, Jan/Feb96, p37 (In the
Lab)
Behind the Scenes at the IMO (report and IMO questions),
Vladimir Dubrovsky, Mar/Apr93, p53 (Happenings)
Bell Curve? What Bell Curve? (response to the May/June
1995 Publisher’s Page), Paul Horwitz, Jan/Feb96, p27
(Feedback)
Below Absolute Zero (who said it’s impossible?),
Henry D. Schreiber, Jan/Feb97, p23 (Feature)
Be More Clever Than Chris! (Columbus’s egg trick),
Yakov Perelman, Sep/Oct92, p54 (insert)
Bend This Sheet (developable surfaces), Dmitry Fuchs,
Jan90, p16 (Feature)
Beyond the Reach of Ohm’s Law (interesting phenomena
where the law doesn’t apply), Sergey Murzin, Mikhail
Trunin, and Dmitry Shovkun, Nov/Dec94, p24 (Feature)
Billiard Math (reflections on simple optical reflection),
Anatoly Savin, Nov/Dec96, p28 (Kaleidoscope)
The Birth of Low-temperature Physics (properties
of helium near absolute zero), A. Buzdin adn V. Tugushev,
Jan/Feb01, p12 (Feature)
Bobbing for Knowledge (experiments with a hollow plastic
ball), Pavel Kanayev, Mar/Apr95, p30 (In the Lab)
Bohr’s Quantum Leap (history of atomic
theory), A. Korzhuyev, Jan/Feb99, p42 (Looking Back)
Boiling Liquid (how a bubble chamber works),
A. Borovoi, Mar/Apr00, p54 (In the Lab)
Boing, Boing, Boing … (what happens after the
second bounce, and the third, ...), Arthur Eisenkraft and
Larry D. Kirkpatrick, Jul/Aug96, p30 (Physics Contest)
The Bombs Bursting in Air (a look at sample problems
and their social significance), Arthur Eisenkraft and Larry
D. Kirkpatrick, Sep/Oct96, p34 (Physics Contest)
Borsuk’s Problem (n-dimensionality meets
combinatorics), Arkady Skopenkov, Sep/Oct96, p16 (Feature)
The Borsuk–Ulam Theory (horsing around
with continuous functions on a circle), M. Krein and A. Nudelman,
Jul/Aug00, p16 (Feature)
Botanical Geometry (triangular “flowers”
and Torricelli circles), Sep/Oct90, p32 (Kaleidoscope)
Bottling Milk (so many bottle sizes!), Dr. Mu, Mar/Apr97,
p63 (Cowculations)
The Bounding Main (physics of sea swells), Ivan Vorobyov,
May/Jun94, p20 (Feature)
Boy-oh-buoyancy! (problems in fluid statics), Alexander
Buzdin and Sergey Krotov, Sep/Oct90, p27 (Feature)
Braids and Knots (primer on knot theory), Alexey Sosinsky,
Jan/Feb95, p10 (Feature)
Breakfast of Champions (acquiring a full
set of baseball cards in boxes of cereal), Don Piele, Mar/Apr01,
p55 (Informatics)
Breaking Up is Hard to Do (nuclear fission),
Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct99, p30
(Physics Contest)
A Brewer and Two Doctors (origins of the law of conservation
of energy), Gennady Myakishev, May/Jun96, p43 (Looking Back)
Bridging the Gap (between classical and quantum mechanics,
teacher and student), Bill G. Aldridge, Nov/Dec95, p2 (Publisher’s
Page)
Brocard Points (properties of points inside
a triangle), V. Prasolov, Mar/Apr01, p22 (At the Blackboard)
Bubbles in Puddles (their size, shape, and longevity),
Alexander Mitrofanov, Jul/Aug95, p4 (Feature)
A Burst of Green (mathematics of plant growth), Alexander
Vedenov and Oleg Ivanov, May/Jun93, p10 (Feature)
Bushels of Pairs (graphical primer), Andrey N. Kolmogorov,
Nov/Dec93, p4 (Feature)
But What Does It Mean? (the thinking behind the symbols),
Bill G. Aldridge, Mar/Apr96, p2 (Publisher’s Page)
C
Calculating Pi (the contribution of Christiaan Huygens),
Valery Vavilov, May/Jun92, p44 (Looking Back)
Calculus and Inequalities (three problems,
one method), V. Ovsienko, Jan/Feb01, p38 (At the Blackboard)
Calendar Calculations (“Doomsday” rule),
John Conway, Jan/Feb91, p46 (Mathematical Surprises)
“Can-do” Competitors in Canberra (report
on the XXVI International Physics Olympiad), Larry D. Kirkpatrick,
Nov/Dec95, p53 (Happenings)
Canopies and Bottom-flowing Streams (a spoonful of
physics), Ivan Vorobyov, Jul/Aug95, p45 (In the Lab)
Cantor Cheese (recursive designs), Don Piele,
Jan/Feb00, p53 (Informatics)
Can White Be Blacker Than Black? (black-body demonstration),
V. V. Mayer, Sep/Oct92, p23 (In the Lab)
Can You Carry Water in a Sieve? (investigations
of the surface layer), A. Dozorov, Jul/Aug00, p44 (In the
Lab)
“Can You Hear Me?” (some thoughts on the
history of human communication), Bill G. Aldridge, Jul/Aug96,
p2 (Publisher’s Page)
Can You See the Magnetic Field? (using a TV as a detector),
Alexander Mitrofanov, Jul/Aug97, p18 (Feature)
Can You Trace the Rays? (ray diagrams),
A. Leonovich, May/Jun99, p28 (Kaleidoscope)
A Cardioid for a Mushroom Picker (the curvy
path of a lost forager), S. Bogdanov, Jul/Aug99, p34 (At the
Blackboard)
Card Party (a seating problem), Don Piele,
Jul/Aug01, p50 (Informatics)
Carl Friedrich Gauss, Part I (a biographical
sketch of a prince of mathematics), S. Gindinkin, Nov/Dec99,
p14 (Feature)
Carl Friedrich Gauss, Part II, S. Gindinkin,
Jan/Feb00, p10 (Feature)
The Case of the Mythical Beast (Holmes and the Helmholtz
resonator), Roman Vinokur, Nov/Dec93, p10 (Feature)
Catch as Catch Can (the theory of gravitational capture),
Y. Osipov, Jan/Feb92, p38 (Looking Back)
Catching Up on Rays and Waves (a rhapsody
on wavelengths and the Stefan–Boltzmann law), Albert
Stasenko, Jul/Aug00, p10 (Feature)
Cauchy and Induction (a simpler proof of
his famous inequality), Y. Solovyov, Jan/Feb01, p37 (At the
Blackboard)
Caught in the Web (interesting World Wide Web sites),
Sep/Oct95, p53 (Happenings)
The Century of the Cycloid (historical patterns),
S. G. Gindikin, Mar/Apr99, p36 (Looking Back)
A Chebyshev Polyplayground (recurrence relations
applied to a famous set of formulas), N. Vasilyev and A. Zelevinsky,
Sep/Oct99, p20 (Feature)
Chebyshev’s Problem (polynomials of least deviation
from zero), S. Tabachnikov and S. Gashkov, Sep/Oct94, p12
(Feature)
The Chemical Elements (curiosities from the periodic
table), Sheldon Lee Glashow, May90, p14 (Getting to Know …)
Chess Puzzles and Real Chess (what happens when the
two worlds intersect), Yevgeny Gik, Sep/Oct96, p64 (Toy Store)
Chopping Up Pick’s Theorem (triangulation and
polygonal partition), Nikolay Vasilyev, Jan/Feb94, p49 (At
the Blackboard)
Chores (how long will they take on your
theoretical farm?), Don Piele, Jul/Aug00, p55 (Informatics)
Circular Reasoning (inscribed angles), Mark Saul and
Benji Fisher, Nov/Dec97, p34 (Gradus ad Parnassum)
A Circuitous Route (“relevance” in science
education), Bill G. Aldridge, Jul/Aug93, p2 (Publisher’s
Page)
Circuits and Symmetry (cutting down on algebra), Gary
Haardeng-Pedersen, Jul/Aug95, p28 (At the Blackboard)
Circumcircles to the Rescue! (useful technique for
solving certain problems), D. F. Izaak, Jan/Feb91, p32 (At
the Blackboard)
The Clamshell Mirrors (physics challenge), Arthur
Eisenkraft and Larry D. Kirkpatrick, Mar/Apr92, p48 (Physics
Contest)
Clarity, Reality, and the Art of Photography (an examination
of “depth of field”), Mark L. Biermann, Sep/Oct95,
p26 (Feature)
Classic Writings from the History of Science (Plutarch’s
“Concerning the Face Which Appears in the Orb of the
Moon”), Yuly Danilov, Mar/Apr92, p42 (Anthology)
Click, click, click … (physics challenge), Arthur
Eisenkraft and Larry Kirkpatrick, Sep/Oct90, p41 (Contest)
A Clock Wound for All Time (the Earth as a timepiece—can
it measure its own age?), V. I. Kuznetsov, May/Jun97, p26
(Feature)
Cloud Formulations (a moist air mass went over the
mountain), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb95,
p36 (Physics Contest)
Coalescing Droplets (surface tension and
drops), A. Varlamov, May/Jun99, p26 (At the Blackboard)
Cold Boiling (just add water), S. Krotov
and A. Chernoutsan, Jan/Feb99, p33 (In the Lab)
Colder Means Slower (the Arrhenius equation), Henry
D. Schreiber, Jul/Aug97, p4 (Feature)
A Collapsible Saddle (model of a hyperbolic paraboloid),
Vladimir Dubrovsky, Jan/Feb91, p56 (Toy Store)
Color Creation (partial “rainbows” in
oil slicks), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun97,
p36 (Physics Contest)
Combinatorics-polynomials-probability (permutations
and binomial coefficients), Nikolay Vasilyev and Victor Gutenmacher,
Mar/Apr93, p18 (At the Blackboard)
Come, Bossy (rounding up the herd), Dr. Mu, May/Jun98,
p63 (Cowculations)
Competitive Computing in Stockholm (1994 International
Olympiad in Informatics), Donald T. Piele, Nov/Dec94, p53
(Happenings)
The Complete Quadrilateral (definition and peculiar
properties), I. Sharygin, Jul/Aug97, p28 (Kaleidoscope)
Completing a Tetrahedron (a geometrical
trick of the trade), I. F. Sharygin, Jul/Aug99, p46 (At the
Blackboard)
Completing the Square (quadratic equations),
Mark Saul and Titu Andreescu, Nov/Dec98, p35 (Gradus ad Parnassum)
The Conductor of a Set (an old problem revisited and
feedback), George Berzsenyi, May/Jun96, p37 (Math Investigations)
Confessions of a Clock Lover (the cosmic consequences
of switching hands), V. M. Babovic, Sep/Oct96, p44 (Horological
Surprises)
Considerations of Continuity (wobbly chair and other
problems), S. L. Tabachnikov, May90, p8 (Feature)
Constructing Quadratic Solutions (a novel use for
compass and straightedge), A. A. Presman, Jan/Feb98, p42 (At
the Blackboard)
Constructing Triangles from Three Given Parts (186
problems), George Berzsenyi, Jul/Aug94, p30 (Math Investigations)
Constructing Triangles from Three Located Points (20
out of 139 problems still need solving), George Berzsenyi,
Sep/Oct94, p54 (Math Investigations)
Construction Program (regular polygons, Euler’s
function, and Fermat numbers), Alexander Kirillov, Mar/Apr96,
p10 (Feature)
Constructions with Compass Alone (Mohr–Mascheroni
theorem), Dmitry Fuchs, May90, 47 (At the Blackboard)
Contact (number bit patterns), Dr. Mu, Nov/Dec98,
p52 (Cowculations)
Contented Cows (finding all ways to sum
digits in a number to zero), Dr. Mu, Jul/Aug99, p26 (Cowculations)
Continued Fractions (when close enough is
good enough), Y. Nesterenko and E. Nikishin, Jan/Feb00, p22
(Feature)
Convection and Displacement Currents (nature
of electricity), V. Dukov, Mar/Apr99, p4 (Feature)
A Conversation in a Streetcar (“lucky tickets”
in Leningrad), A. Savin and L. Fink, Mar/Apr92, p23 (In Your
Head)
Cooled by the Light (photonic refrigeration), I. Vorobyov,
Sep/Oct93, p20 (Feature)
Cool Vibrations (fun with oscillations), Arthur Eisenkraft
and Larry D. Kirkpatrick, Sep/Oct97, p46 (Physics Contest)
Core Dynamics (transformers explained),
A. Dozorov, Mar/Apr99, p14 (Feature)
Counting Problems in Finite Groups (problems
from Research Experiences for Undergraduates), George Berzsenyi,
Jul/Aug97, p34 (Math Investigations)
Counting Random Paths (probability, symmetry, and
random walk), Vladimir Dubrovsky, Jul/Aug93, p39 (Follow-up)
Creating Scientist-citizens (thoughts on “scientific
literacy”), Bernard V. Khoury, Mar/Apr97, p2 (Front
Matter)
The Creative Leap (Einstein’s science—everyone’s
science), Gerry Wheeler, Jan/Feb97, p2 (Front Matter)
Criminal Geometry, or A Matter of Principle (Sherlock
Holmes displays math prowess), D. V. Fomin, Sep/Oct91, p46
(Smiles)
Curiosity’s Natural Extension (feedback on National
Science Education Standards editorial), Bill G. Aldridge,
Jul/Aug95, p2 (Publisher’s Page)
Curved Reality (does Nature abhor a straight
line?), Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct00,
p30 (Contest Problem)
Cutting Facets (a simple problem with many hidden
charms), Vladimir Dubrovsky, May/Jun96, p4 (Feature)
Cyberspace Exploration (cheap thrills and real science
in the computer age), Bill G. Aldridge, Sep/Oct94, p2 (Publisher’s
Page)
D
The Danger of Italian Restaurants (poem), David Arns,
Sep/Oct98, p60 (Musings)
The Dark Power of Conventional Wisdom (Lobachevsky
bicentenary), A. D. Alexandrov, Nov/Dec92, p4 (Feature)
The Death of a Star, Part I (poem), David
Arns, Mar/Apr00, p53
The Death of a Star, Part II, David Arns,
May/Jun00, p33
Delusion or Fraud? (dropping a needle to calculate
pi), A. N. Zaydel, Sep/Oct90, p6 (Feature)
Democracy and Mathematics (voting paradoxes), Valery
Pakhomov, Jan/Feb93, p4 (Feature)
Democratizing Expert Knowledge (climate change and
science in society), Maurie J. Cohen, Jan/Feb98, p2 (Front
Matter)
The Demoflush Figure (algebra where you
least expect it), Linda P. Rosen, Jul/Aug97, p2 (Front Matter)
Depth of Knowledge (effects of air resistance), Arthur
Eisenkraft and Larry Kirkpatrick, May/Jun98, p28 (Physics
Contest)
Derivatives in Algebraic Problems (counting roots),
Alexander Zvonkin, Nov/Dec93, p28 (At the Blackboard)
Desperately Seeking Susan on a Cylinder (a geometric
approach to search and detection), A. Chkhartishvili and E.
Shikin, Mar/Apr97, p10 (Feature)
Diamond Latticework (geometry of crystalline structures),
R. V. Galiulin, Jan/Feb91, p6 (Feature)
Diamonds from a Jug (two tales with a brainteasing
twist), Sergey Grabarchuk, Sep/Oct94, p63 (Toy Store)
Dielectrical Materialsm (the behavior of
nonconducting objects in electric fields), Jan/Feb01, p28
(Kaleidoscope)
Diffraction in Laser Light (seeing diffraction
patterns), D. Panenko, Mar/Apr99, p33 (In the Lab)
Disorder in the Court! (using energy “free of
charge”), V. Fabricant, May90, p43 (Quantum Smiles)
Differing Differences (math challenge), George Berzsenyi,
Nov/Dec91, p30 (Math Investigation)
Digitized Multiplication a la Steinhaus (math challenge),
George Berzsenyi, Jul/Aug93, p27 (Math Investigations)
Dinosaurs in the Haystack (scientific method), Stephen
Jay Gould, Sep/Oct92, p10 (Feature)
Direct Current Events (DC machines), I. Slobodetsky,
Mar/Apr92, p52 (At the Blackboard)
The Discriminant at Work (a handy algebraic tool),
Andrey Yegorov, Jan/Feb96, p34 (At the Blackboard)
Distinct Sums of Twosomes (pushing the lower bound),
George Berzsenyi, Mar/Apr95, p39 (Math Investigations)
Divide and Conquer! (shortcut divisibility
rules), Ruma Falk and Eyal Oshry, Mar/Apr99, p18 (Feature)
Divisibility Rules (problems in divisibility),
Mark Saul and Titu Andreescu, Mar/Apr99, p43 (Gradus ad Parnassum)
Divisive Devices (Euclid’s algorithm, greatest
common divisor, and fundamental theorem of arithmetic), V.
N. Vaguten, Sep/Oct91, p36 (Feature)
Do As We Say … (diversity in Quantum),
Bill G. Aldridge, Mar/Apr93 p2 (Publisher’s Page)
Do You Have Potential? (the concept of potential),
A. Leonovich, Nov/Dec97, p28 (Kaleidoscope)
Do You Know the Binding Energy? (a notion
that unifies various types of physical interactions), May/Jun00,
p28 (Kaleidoscope)
Do You Really Know Time? (it’s still
a bit of a mystery), A. Leonovich, Sep/Oct99, p28 (Kaleidoscope)
Dr. Matrix on the Wonders of 8 (observations of the
“world’s greatest numerologist”), Martin
Gardner, Jul/Aug95, p43 (Mathematical Surprises)
Does a Falling Pencil Levitate? (tabletop physics),
Leaf Turner and Jane L. Pratt, Mar/Apr98, p22 (Feature)
Does Elementary Length Exist? (surprising implications
of relativity and quantum mechanics), Andrey Sakharov, May/Jun97,
p14 (Feature)
Doing It the Hard Way (multiple methodology), M. Tulchinsky,
Sep/Oct92, p17 (Smiles)
Doppler Beats (sound frequency and relative motion),
Larry D. Kirkpatrick and Arthur Eisenkraft, Jul/Aug98, p28
(Physics Contest)
Double, Double Toil and Trouble (boundary boiling
of two liquids), A. Buzdin and V. Sorokin, May/Jun92, p52
(In the Lab)
Do You Really Know Vapors? (water behavior),
A. Leonovich, Sep/Oct98, p32 (Kaleidoscope)
Do You Get the Drift? (behavior of blowing snow),
Lev Aslamazov, Jan/Feb93, p28 (insert)
Do You Know Atoms and Their Nuclei? (broad
outlines of an tiny, intricate world), A. Leonovich, Jan/Feb00,
p28 (Kaleidoscope)
Do You Promise Not to Tell? (uses of constructive
and destructive interference), Arthur Eisenkraft and Larry
D. Kirkpatrick, Jan/Feb97, p30 (Physics Contest)
Dragon Curves (Chandler and Knuth’s famous design),
Nikolay Vasilyev and Victor Gutenmacher, Sep/Oct95, p4 (Feature)
Dragon the Omnipresent (a proof of a remarkable property
[see “Dragon Curves,” Sep/Oct95, and “Nesting
Puzzles-Part II,” Mar/Apr96]), Vladimir Dubrovsky, Jul/Aug96,
p34 (Follow-up)
Drops for the Crops (limits on the size of droplets),
Yuly Bruk and Albert Stasenko, Mar/Apr94, p10 (Feature)
The Duke and His Chicken Incubator (seventeenth-century
Florentine thermoscopes), Alexander Buzdin, Sep/Oct91, p51
(Looking Back)
Duracell Awards $100,000 to Young Inventors (results
of Duracell/NSTA Scholarship Competition), May/Jun96, p53
(Happenings)
Dutch Treat (generating a sequence), Dr.
Mu, Mar/Apr99, p55 (Cowculations)
E
East and West of Pythagoras by 30 degrees (math challenge),
George Berzsenyi, Mar/Apr92, p51 (Math Investigations)
Educated Guesses (amusing Fermi problems), John A.
Adam, Sep/Oct95, p20 (Feature)
Egyptian Fractions (an alternative method from the
17th century B.C.), George Berzsenyi, Nov/Dec94, p45 (Math
Investigations)
Electrical and Mechanical Oscillations (current
in an oscillating circuit), A. Kikoyin, Mar/Apr01, p48 (At
the Blackboard)
Electric Currents on Coulomb Hills (the
ups and downs of a circuit), E. Romishevsky, Jul/Aug99, p37
(At the Blackboard)
Electricity in the Air (surface charge density of
the Earth), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec93,
p46 (Physics Contest)
Electric Multipoles (how a little order
can weaken your potential), A. Dozorov, Sep/Oct99, p4 (Feature)
Electromagnetic Induction (intertwined lives of electricity
and magnetism), Mar/Apr91, p32 (Kaleidoscope)
Elementary Functions (definitions from two
perspectives), A. Veselov and S. Gindikin, Jul/Aug01, p22
(Feature)
The Elementary Particles (subatomic primer), Sheldon
Lee Glashow, Sep/Oct90, p49 (Getting to Know …)
Elephant Ears (laws of scaling in the natural world),
Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec97, p30
(Physics Contest)
Elevator Physics (free-falling balls), Arthur
Eisenkraft and Larry Kirkpatrick, Mar/Apr99, p30 (Physics
Contest)
11th Tournament of Towns (problems), Nov/Dec90, p51
(Happenings)
Embedding Triangles in Lattices (a classic problem
from Math.Note at DEC), George Berzsenyi, Sep/Oct96, p38 (Math
Investigations)
Endless Self-description (Hilgemeier’s “likeness
sequence”), George Berzsenyi, Sep/Oct93, p17 (Math Investigations)
The Enigmatic Magnetic Force (the Lorentz
force and the importance of accounting for small magnetic
forces), E. Romishevsky, Jul/Aug00, p41 (At the Blackboard)
Enough Nerdiness (why the geek stereotype is so uncool),
Dennis R. Harp and Harry Kloor, May/Jun98, p2 (Front Matter)
The Equalizer of a Triangle (a clever line that does
double duty), George Berzsenyi, Mar/Apr97, p51 (Math Investigations)
Equation of the Gaseous State (handling
twists with the ideal gas law), V. Belonuchkin, May/Jun00,
p44 (At the Blackboard)
Equations Think For You (weeding out incorrect assumptions),
V. Nakhshin, Jan90, p46 (At the Blackboard)
Ernst Abbe and “Carl Zeiss”
(giants of optics), A. Vasilyev, Jul/Aug00, p46 (Looking Back)
Errorproof Coding (error detection and self-correction),
Alexey Tolpygo, Mar/Apr93, p10 (Feature)
Errors in Geometric Proofs (searching for
mistakes), S. L. Tabachnikov, Nov/Dec98, p37 (At the Blackboard)
Euclidean Complications (alternate geometries),
I. Sabitov, Sep/Oct98, p20 (Feature)
Experiments of Frank and Hertz (putting
Bohr’s quantum postulates to the test), A. Levashov,
Mar/Apr00, p38 (Looking Back)
Exploring Every Angle (several approaches
to the same problem), Boris Pritsker, Mar/Apr01, p38 (Problem
Primer)
Exploring Remainders and Congruences (a
set of exercises), A. Yegorov, May/Jun01, p32 (At the Blackboard)
Extra! Extra! Read All About It! (inductive incompetence),
Vladimir Dubrovsky, Jul/Aug92, p43 (Smiles)
Extremists of Every Stripe (investing in Russia’s
future), Bill G. Aldridge, Mar/Apr94, p2 (Publisher’s
Page)
The Eye and the Sky (the art of seeing faint
objects), V. Surdin, Jan/Feb00, p16 (Feature)
The Eyes Have It (workings of the human
eye), Arthur Eisenkraft and Larry Kirkpatrick, May/Jun99,
p30 (Physics Contest)
F
Fair and Squared! (quadratic equations in physics
problems), Boris Korsunsky, May/Jun97, p53 (At the Blackboard)
Fantasy Chess (adding a rule or two), Yevgeny Gik,
Sep/Oct90, p64 (Checkmate!)
Faraday’s Legacy (communicating a
love of science), Laurence I. Gould, Nov/Dec98, p2 (Front
Matter)
Farewell to JCMN (in memory of Basil Rennie), George
Berzsenyi, May/Jun97, p40 (Math Investigations)
The Far from Dismal Science (sustainability and input-output
economics), Dean Button, Faye Duchin, and Kurt Kreith, Sep/Oct97,
p38 (Feature)
The Fast Game for Math Minds (the “Twenty-Four”
challenge), Mar/Apr91, p52 (Happenings)
Feeding Rhythms and Algorithms (premier of computing
column), Dr. Mu, Nov/Dec96, p37 (Cowculations)
The Fellowship of the Rings (vortices and
turbulence), S. Shabanov and V. Shubin, Jul/Aug01, p37 (In
the Lab)
Fermat’s Little Theorem (proving its
value to mathematicians), V. Senderov and A. Spivak, May/Jun00,
p14 (Feature)
Fertilizer with a Bang (investigating an
explosive situation), B. Novozhilov, Sep/Oct00, p8 (Feature)
The Feuerbach Theorem (exploring the inscribed
and escribed circles of triangles), V. Protasov, Nov/Dec99,
p4 (Feature)
Fibonacci Strikes Again! (curious occurrences of a
famous number sequence), Elliott Ostler and Neal Grandgenett,
Jul/Aug92, p15 (Mathematical Surprises)
Field Pressure (the “pressure”
of a static field), A. Chernoutsan, Sep/Oct00, p40
(At the Blackboard)
The Fifth International Olympiad in Informatics (problems
and empanadas), Donald T. Piele, Mar/Apr94, p46 (Happenings)
Finding the Family Resemblence (an attempt to categorize
number representation problems), George Berzsenyi, Jul/Aug96,
p27 (Math Investigations)
Fire and Ice (report on the 1998 International
Physics Olympiad), Sep/Oct98, p56 (Happenings)
The First Bicycle (each wheel consisted of two sticks),
Albert Stasenko, Jan/Feb97, p44 (At the Blackboard)
The First Photon (the “vending machine”
model), Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun95,
p34 (Physics Contest)
Flexible in the Face of Adversity (topological transformations),
A. P. Veselev, Sep/Oct90, p12 (Feature)
Flexible Polyhedral Surfaces (bending the
rules), V. A. Alexandrov, Sep/Oct98, p4 (Feature)
Flexland Revisited (new forms of “flexlife”),
Alexander Panov and Anatoly Kalinin, Jul/Aug93, p64 (Toy Store)
Flights of Fancy? (the upper limits of arrow
shooting), V. Drozdov, Mar/Apr01, p40 (In the Open Air)
A Flight to the Sun (the challenges of sending a probe
to the nearest star), Alexey Byalko, Nov/Dec96, p16 (Feature)
Fluids and Fault Lines (why large earthquakes
are rather rare), G. Golytsyn, Jan/Feb00, p4 (Feature)
Fluids and Gases on the Move (a look at fluid mechanics),
L. Leonovich, Jan/Feb96, p28 (Kaleidoscope)
Flux and Fixity (quantifying the energy
stored in a magnetic field), V. Novikov, Jan/Feb01, p6 (Feature)
Fly Zapper (kill ’em and count ’em),
Dr. Mu, Nov/Dec98, p62 (Cowculations)
Focusing Fields (finding the magnetic field that will
focus charged particles), Arthur Eisenkraft and Larry D. Kirkpatrick,
Jan/Feb96, p32 (Physics Contest)
Focusing on the Fleet (Archimedean victory at sea),
Sergey Semenchinsky, Sep/Oct93, p28 (In the Lab)
Foiled by the Coanda Effect (an alternative way of
explaining lift), Jef Raskin, Sep/Oct94, p4 (Feature)
Follow the Bouncing Buckyball (fullerenes and other
carbonic architecture), Sergey Tikhodeyev, May/Jun94, p8 (Feature)
The Force Behind the Tides (understanding the attraction
of the Moon), V. E. Belonuchkin, May/Jun98, p10 (Feature)
Forcing the Issue (Newtonian mechanics), Mar/Apr92,
p32 (Kaleidoscope)
Forked Roads and Forked Tongues (a logical lie detector),
P. Blekher, Nov/Dec97, p10 (Feature)
Formulas for Sin nx and Cos nx (handy
mnemonic devices), Dmitry Fuchs, May/Jun93, p48 (At the Blackboard)
For the Love of Her Subject (interview with Marina
Ratner), Julia Angwin, Jul/Aug94, p44 (Profile)
The Fourth State of Matter (plasma physics), Alexander
Kingsep, Sep/Oct93, p4 (Feature)
The Friction and Pressure of Skating (glaciers and
Carnot theorem), Alexey Chernoutsan, Jul/Aug94, p25 (At the
Blackboard)
Friction, Fear, Friends, and Falling (mountaineering
physics), John Wylie, Jul/Aug92, p4 (Feature)
Friezing Our Way into Summer (zigzag frieze patterns),
John Conway, May90, p50 (Mathematical Surprises)
From a Roman Myth to the Isoperimetric Problem (searching
for the greatest area given equal perimeters), I. F. Sharygin,
Jan/Feb97, p34 (At the Blackboard)
From a Snowy Swiss Summit to the Apex of Geometry
(biographical sketch of Jacob Steiner), I. M. Yaglom, Nov/Dec93,
p35 (Looking Back)
From Cherokee Math to Tubby Genes (educational content
on the World Wide Web), Tim Weber, May/Jun97, p2 (Front Matter)
From Mouse to Elephant (cell size and other zoological
constants), Anatoly Mineyev, Mar/Apr96, p18 (Feature)
From the Edge of the Universe to Tartarus (Hesiod
meets modern physics), Albert Stasenko, Mar/Apr96, p4 (Feature)
From the Pages of History (talking dolls,
singing goblets, a fountain that spurts on command), A. Varlamov,
Mar/Apr01, p34 (Looking Back)
From the Prehistory of Radio (Faraday, Maxwell, Hertz,
and Popov), S. M. Rytov, May90, p39 (Looking Back)
The Fruits of Kepler’s Struggle (discovering
the laws of orbital motion), B. E. Belonuchkin, Jan/Feb92,
p18 (Feature)
Fuel Economy on the Moon (harnessing the
Moon’s gravity), A. Stasenko, Jan/Feb00, p38 (At the
Blackboard)
Functional Equations and Groups (and how
to solve them), Y. S. Brodsky and A. K. Slipenko, Nov/Dec98,
p14 (Feature)
The Fundamental Particles (combining quarks),
Larry D. Kirkpatrick and Arthur Eisenkraft, Mar/Apr01, p30
(Physics Contest)
Fun with Liquid Nitrogen (latent heat of vaporization),
Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr94, p38
(Physics Contest)
Further Adventures in Flexland (two-way hinges and
flexchains), Alexey Panov, May/Jun92, p64 (Toy Store)
G
The Gambler, the Aesthete, and St. Pete (probabilities
and payoffs), Leon Taylor, Jan/Feb98, p20 (Feature)
The Game of Battleships (achieving naval superiority
on a paper sea), Yevgeny Gik, Nov/Dec96, p56 (Toy Store)
The Game of Bop (mathematical wordplay), Sheldon Lee
Glashow, Sep/Oct92, p27 (In Your Head)
Generalizing Monty’s Dilemma (whether to stick
with a choice or switch), John P. Georges and Timothy V. Craine,
Mar/Apr95, p16 (Feature)
Generating Functions (problem-solving methods),
S. M. Voronin and A. G. Kulagin, May/Jun99, p8 (Feature)
Getting It Together with “Polyominoes”
(approach to tiling problems based on group theory), Dmitry
V. Fomin, Nov/Dec91, p20 (Feature)
Genealogical Threes (using Euclid’s theorem
to generate Pythagorean triples), A. A. Panov, Nov/Dec90,
p36 (Looking Back)
Geometric Summation (infinite algebraic tilings),
M. Apresyan, May/Jun94, p30 (In Your Head)
Geometric Surprises (a collection of elegant
oddities), A. Savin, Jul/Aug00, p28 (Kaleidoscope)
Geometry in the Pagoda (classic problems of the great
Japanese geometers), George Berzsenyi, Jan/Feb95, p48 (Math
Investigations)
The Geometry of Population Genetics (color blindness
and the Hardy-Weinberg law), I. M. Yaglom, May90, p24 (Feature)
Geometry of Sliding Vectors (modeling forces
acting on rigid bodies having a definite size and shape),
Y. Solovyov and A. Sosinsky, Mar/Apr00, p18 (Feature)
Georg Cantor (an anniversary review of his achievements),
Vladimir Tikhomirov, Nov/Dec95, p48 (Looking Back)
The Giants (on whose shoulders Newton stood), Vladimir
Belonuchkin, Jul/Aug95, p38 (Looking Back)
Gingerbread Man (creating computer graphics), Dr.
Mu, Jan/Feb98, p55 (Cowculations)
Giving Astronomy Its Due (the role of astronomy
in human history), A. Mikhailov, Jul/Aug01, p46 (At the Blackboard)
Glancing at the Thermometer … (computing the
coefficient of thermal expansion), M. I. Kaganov, Jan/Feb93,
p26 (At the Blackboard)
Gliding Home (propelling a glider long distances),
Albert Stasenko, Mar/Apr99, p21 (At the Blackboard)
Glittering Performances (XXII International Physics
Olympiad), Arthur Eisenkraft and Larry D. Kirkpatrick, Nov/Dec91,
p53 (Happenings)
Global Change (commentary on events in the former
Soviet Union), Bill G. Aldridge, Mar/Apr92, p2 (Publisher’s
Page)
Going Around in Circles (math challenge), George Berzsenyi,
Sep/Oct91, p35 (Math Investigations)
Going to Extremes (using the “extremity rule”),
A. L. Rosenthal, Nov/Dec90, p8 (Feature)
The Golden Ratio in Baseball (Fibonacci in sport statistics),
Dave Trautman, Mar/Apr96, p30 (Mathematical Surprises)
Go “Mod” with Your Equations (remainders
and congruences), Andrey Yegorov, May/Jun92, p24 (Feature)
The Good Old Pythagorean Theorem (proofs and generalizations),
V. N. Beryozin, Jan/Feb94, p24 (Feature)
A Good Question (active thought versus passive absorption),
Bill G. Aldridge, Sep/Oct90, p3 (Publisher’s Page)
A Good Theory (or two—from Newton
and Bohr), Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb01,
p30 (Physics Contest)
Grand Illusions (apparent violations of light’s
speed limit), A. D. Chernin, Jan/Feb92, p24 (At the Blackboard)
Graphs and Grafs (a little graph theory and practice),
Anatoly Savin, Nov/Dec95, p32 (Kaleidoscope)
Gravitational Redshift (determining a star’s
characteristics from photonic redshift), Arthur Eisenkraft
and Larry D. Kirkpatrick, Nov/Dec95, p34 (Physics Contest)
The Great Art (controversial origins of “Cardano’s
formula”), Semyon Gindikin, May/Jun95, p40 (Looking
Back)
The Great Law (Newton and gravitational
attraction), V. Kuznetsov, Sep/Oct99, p38 (Looking Back)
The Greek Alphabet (a physicist’s guide), Sheldon
Lee Glashow, Mar/Apr92, p40 (Getting to Know …)
The Green Flash (an unusual spectacle at the close
of day), Lev Tarasov, Jan/Feb97, p38 (In the Open Air)
A Gripping Story (how to calculate static friction),
Alexey Chernoutsan, Mar/Apr96, p40 (At the Blackboard)
Group Velocity (a wider application of wave
motion equations), Helio Waldman, Nov/Dec00, p47 (At the Blackboard)
H
Halving It All (curiosities of planar bisection),
Mark E. Kidwell and Mark D. Meyerson, Mar/Apr92, p6 (Feature)
Halving Some More (segments of constant area), Dmitry
Fuchs and Sergey Tabachnikov, Mar/Apr92, p26 (Feature)
Hands-on (or -off?) Science (thermal sensitivity),
Alexey Byalko, Nov/Dec97, p4 (Feature)
Hands-on Topology (experiments with the Möbius strip),
Boris Kordemsky, Nov/Dec95, p64 (Toy Store)
Happy Birthday, Uncle Paul! (Erdos turns eighty-one),
George Berzsenyi, May/Jun94, p28 (Math Investigations)
Happy New Year! (publisher resolves to learn Russian),
Bill G. Aldridge, Jan/Feb91, p5 (Publisher’s Page)
Hard-core Heavenly Bodies (ionic crystal, Young’s
modulus, and planetary mass), Yuly Bruk and Albert Stasenko,
Jul/Aug93, p34 (Feature)
Head over Heels (mechanics of an odd top), Sergey
Krivoshlykov, May/Jun95, p62 (Toy Store)
Health and Long Life (travel notes: mad cows and the
Brontës), Bill G. Aldridge, May/Jun96, p2 (Publisher’s
Page)
Heart Waves (behavior of electrical waves in the heart),
A. S. Mikhailov, Nov/Dec91, p12 (Feature)
Heating Water from the Top (moving boundaries
and waves under water), V. Pentegov, Nov/Dec99, p41 (In the
Lab)
High-Speed Conservation (physics at near-light
speeds), A. Korzhuyev, Sep/Oct98, p38 (At the Blackboard)
High-speed Hazards (a radical method of
combatting the effects of very large accelerations), I. Vorobyov,
May/Jun00, p24 (Feature)
Hindsight (when to hold em and when to fold
em), Dr. Mu, Nov/Dec97, p55 (Cowculations)
The History of a Fall (what happens to a drip as it
drops), Leonid Guryashkin and Albert Stasenko, Mar/Apr95,
p10 (Feature)
Hit or Miss (Perelman problems), Nov/Dec92, p32 (Kaleidoscope)
Holding Up Under Pressure (modeling bridges), Alexander
Borovoy, Jan90, p30 (In the Lab)
Holes in Graphs (functions that are both continuous
and discontinuous), Michael H. Brill and Michael Stueben,
Sep/Oct91, p12 (Feature)
Hollow Molecules (belated insert to “Follow
the Bouncing Buckyball”), David E. H. Jones, Mar/Apr95,
p53 (Addendum)
Homemade Pendulums (describing their motion), G. L.
Kotkin, Mar/Apr98, p38 (In the Lab)
Home on the Range (functional primer), Andrey N. Kolmogorov,
Sep/Oct93, p10 (Feature)
Homogeneous Equations (more equation solving), L.
Ryzhkov and Y. Ionin, May/Jun98, p43 (At the Blackboard)
The Horrors of Resonance (are you in for a rough landing?),
A. Stasenko, Mar/Apr98, p45 (At the Blackboard)
Horseflies and Flying Horses (matters of scale in
the animal world), A. Zherdev, May/Jun94, p32 (Kaleidoscope)
A Horse is a Horse (of Course, of Course) (shenanigans
with fractions), A. S. Yarsky, May90, p43 (Quantum Smiles)
How About a Date? (physics challenge), Arthur Eisenkraft
and Larry D. Kirkpatrick, Mar/Apr93, p30 (Physics Contest)
How Big Am I, Really? (poem), David Arns, Jul/Aug98,
p55 (Musings)
How Do We Breathe? (physics in alveoli), K. Y. Bogdanov,
May90, p4 (Feature)
How Enlightened Are You? (straight answers to crooked
questions about light), Alexander Leonovich, May/Jun96, p32
(Kaleidoscope)
How Long Does a Comet Live? (an attempt
at an estimate), S. Varlamov, May/Jun01, p4 (Feature)
How Many Bubbles are in Your Bubbly? (the
physics of gas dissolved in luquids), A. Stasenko, Nov/Dec00,
p44 (In the Lab)
How Many Divisors Does a Number Have? (a classic problem
with many interconnections), Boris Kotlyar, Mar/Apr96, p24
(Feature)
How’s Your Astronomy? (collection of heavenly
facts and questions), May/Jun95, p32 (Kaleidoscope)
How the Ball Bounces (physics challenge), Arthur Eisenkraft
and Larry D. Kirkpatrick, Mar/Apr91, p54 (Contest)
How to Escape the Rain (to run or to walk?), I. F.
Akulich, May/Jun98, p38 (In the Open Air)
Hula Hoop (circular animation), Dr. Mu,
Jan/Feb99, p54 (Cowculations)
Hurling at the Abyss (oscillating too-short
bridges), A. Stasenko, Nov/Dec98, p43 (At the Blackboard)
Hydroparadoxes (when fluids forsake model behavior),
S. Betyaev, Jul/Aug98, p20 (Feature)
Hyperbolic Tension (measuring the coefficient of surface
tension), I. I. Vorobyov, Jan/Feb98, p30 (In the Lab)
I
I Can See Clearly Now (poem), David Arns, Nov/Dec98,
p8
An Ideal Gas Gets Real (and relativity visits electromagnetic
induction), Albert Stasenko and Alexey Chernoutsan, Sep/Oct93,
p42 (At the Blackboard)
Image Charge (electrostatic investigation),
Larry D. Kirkpatrick and Arthur Eisenkraft, Jul/Aug99, p30
(Physics Contest)
The Importance of Studying the Physics of Sound Insulation
(a detective story), Roman Y. Vinokur, Nov/Dec95, p18 (Feature)
Important Components of Learning Components (a different
approach to vectors), Boris Korsunsky, Jan/Feb95, p45 (Sticking
Points)
Incandescent Bulbs (illuminating thermal expansion),
D. C. Agrawal and V. J. Menon, Jan/Feb98, p35 (At the Blackboard)
An Incident on the Train (air pressure in a tunnel),
Carlo Camerlingo and Andrey Varlamov, Nov/Dec90, p42 (At the
Blackboard)
Inequalities Become Equalities (a baker’s
dozen problems with a common ingredient), A. Egorov, Mar/Apr00,
p42 (At the Blackboard)
The Inevitability of Black Holes (Schwarzschild radius,
principle of equivalence), William A. Hiscock, Mar/Apr93,
p26 (Feature)
Infinite Descent (a method with wide applicability),
Lev Kurlyandchik and Grigory Rozenblume, Jul/Aug96, p10 (Feature)
In Focus (optics and your eyes), A. Dozorov,
Sep/Oct98, p48 (At the Blackboard)
In Foucault’s Footsteps (a simple experiment
on the Coriolis force), M. Emelyanov, A. Zharkov, V. Zagainov,
and V. Matochkin, Nov/Dec96, p26 (In the Lab)
In Memoriam: Paul Erdös (1913–1996) (an appreciation
of the great problem master), George Berzsenyi, Nov/Dec96,
p40 (Math Investigations)
The Ins and Outs of Circles (inscribed and circumscribed
circles), I. F. Sharygin, Nov/Dec97, p38 (At the Blackboard)
Inscribe, Subtend, Circumscribe (variations on a geometric
theme), Vladimir Uroyev and Mikhail Shabunin, Nov/Dec96, p10
(Feature)
In Search of a Definition of Surface Area (working
through a paradoxical result), Vladimir Dubrovsky, Mar/Apr91,
p6 (Feature)
In Search of Perfection (numbers equal to
the sum of their own divisors), I. Depman, May/Jun01, p8 (Feature)
Interacting Bodies (all about collisions),
A. Leonovich, Jan/Feb99, p28 (Kaleidoscope)
Internal Energy and Heat (why Q is in the reference
tables, not ΔU), Alexey Chernoutsan, Jul/Aug97, p38
(Fundamentals)
In the Curved Space of Relativistic Velocities (link
between relativity and hyperbolic geometry), Vladimir Dubrovsky,
Mar/Apr93, p34 (Feature)
Interstellar Bubbles (a phase in the life cycle of
stars), S. Silich, Nov/Dec97, p14 (Feature)
In the Planetary Net (the potential in gravitational
fields), V. Mozhayev, Jan/Feb98, p4 (Feature)
Inversion (useful transformation), Vladimir Dubrovsky,
Sep/Oct92, p40 (Getting to Know …)
Invincible Mephisto! (computer chess), Y. Gik, Jan90,
p56 (Checkmate!)
An Invitation to the Bathhouse (physics in the Russian
banya), I. I. Mazin, Sep/Oct90, p20 (Feature)
IOI 2000 (report from the International
Olympiad of Informatics in Beijing), Don Piele, Jan/Feb01,
p55 (Informatics)
Irrationality and Irreducibility (how are they connected?),
V. A. Oleynikov, May/Jun97, p22 (Feature)
Irregular Regular Polygons (a math problem found in
a dictionary), Eric D. Carlson and Sheldon L. Glashow, Jul/Aug95,
p48 (At the Blackboard)
Is Bingo Fair? (parlor probability), Mark Krosky,
May/Jun98, p4 (Feature)
Is This What Fermat Did? (fast factorization), B.
A. Kordemsky, Sep/Oct91, p17 (At the Blackboard)
It All Depends on Your Attitude (getting oriented
in outer space), Bernice Kastner, Jan/Feb92, p12 (Feature)
It’s All Greek to Me! (symbols in math and science),
Bill G. Aldridge, Jan/Feb95, p2 (Publisher’s Page)
It’s Beautiful—But Is It Science? (waves
in a Viking painting), Albert Stasenko, Jan90, p8 (Feature)
J
Jesse James Discovers the Heat Equation (using spreadsheets
for diffusion processes), Kurt Kreith, May/Jun95, p26 (Feature)
Jewels in the Crown (mathematical induction), Mark
Saul, Jul/Aug92, p10 (Feature)
Jingle Bell? (bell-ringing in a vacuum), N. Paravyan,
Nov/Dec97, p27 (In the Lab)
Jules Verne’s Cryptogram (cracking a code to
save a life), G. A. Gurevich, Sep/Oct90, p44 (Looking Back)
K
Karate Chop (physics of tameshiwari), A. Biryukov,
May/Jun99, p14 (Feature)
Keeping Cool and Staying Put (heat pumps and rope
tension), Alexander Buzdin, May/Jun93, p17 (At the Blackboard)
Keeping Track of Points (trajectories, tracks, and
displacements), Sep/Oct93, p32 (Kaleidoscope)
Kith and Kin (friendly numbers and twin primes), Jan90,
p28 (Kaleidoscope)
Knots, Links, and Their Polynomials (Reidemeister
moves, Conway polynomial, and other aspects of knot theory),
Alexey Sosinsky, Jul/Aug95, p8 (Feature)
L
Landau’s License Plate Game (math prowess of
a great physicist), M. I. Kaganov, Mar/Apr93, p47 (In Your
Head)
Langton’s Ant (a spinoff of
Conway’s Game of Life), Don Piele, Mar/Apr00, p63 (Informatics)
Laser Levitation (lifting with light), Arthur Eisenkraft
and Larry D. Kirkpatrick, May/Jun94, p38 (Physics Contest)
Laser Pointer (the underlying physics),
S.Obukhov, Nov/Dec00, p14 (Feature)
The Last Problem of the Cube (“God’s algorithm”
for Rubik’s immortal cube), Vladimir Dubrovsky, Mar/Apr95,
p61 (Toy Store)
Late Light from Mercury (gravitational refraction),
Yakov Smorodinsky, Nov/Dec93, p40 (In the Lab)
Latin Rectangles (exercise in combinatorics), V. Shevelyov,
Mar/Apr91, p18 (Feature)
Latin Triangles (a puzzle and a model of Schwarz’s
boot), D. Bernshtein, Mar/Apr91, p64 (Toy Store)
Lattices and Brillouin Zones (polygonal
patterns), A. B. Goncharov, Nov/Dec98, p4 (Feature)
Launch into International Space Year! (guide to ISY
activities), Jan/Feb92, p53 (Happenings)
Lazy-day Antidotes (light summertime problems to quicken
the mind), Jul/Aug95, p32 (Kaleidoscope)
The Leaky Pendulum (physics challenge), Arthur Eisenkraft
and Larry D. Kirkpatrick, Nov/Dec91, p28 (Physics Contest)
Learning About (Not By) Osmosis (discovery and applications),
Alexander Borovoy, Nov/Dec91, p48 (In the Lab)
Learning from a Virus (applying system dynamics to
the spread of an illness), Matthias Ruth, Sep/Oct97, p28 (Feature)
The Legacy of al-Khwarizmi (the origins of algebra),
Z. D. Usmanov and I. Hodjiev, Jul/Aug98, p26 (Looking Back)
The Legacy of Norbert Wiener (Part I: childhood, boyhood,
youth), Nov/Dec94, p47 (Innovators)
The Legacy of Norbert Wiener (Part II: Brownian motion
and beyond), Jan/Feb95, p41 (Innovators)
The Legacy of Norbert Wiener (Part III: from feedback
to cybernetics), Mar/Apr95, p42 (Innovators)
Less Heat and More Light (properties of the “ideal
black body”), Y. Amstislavsky, Nov/Dec95, p4 (Feature)
Let’s Not Be Dense About It! (facts, questions,
and problems about density), A. A. Leonovich, May/Jun97, p32
(Kaleidoscope)
Letters from the Editors (notes by the editors in
chief), Jan90, p6
Lewis Carroll’s Sleepless Nights (two “pillow
problems” in probability), Martin Gardner, Mar/Apr95,
p40 (Mathematical Surprises)
Liberté, Égalité, Géométrie
(Gaspard Monge—father of descriptive geometry), V. Lishevsky,
Nov/Dec00, p20 (Feature)
Life on an Accelerating Skateboard (toward an improved
definition of “weight”), Albert A. Bartlett, Sep/Oct95,
p49 (Follow-up)
Light at the End of the Tunnel (invariants and monovariants),
Dmitry Fomin and Lev Kurlyandchik, Mar/Apr94, p16 (Feature)
Light in a Dark Room (history of the camera
obscura), V. Surdin and M. Kartashev, Jul/Aug99, p40 (Looking
Back)
Lightning in a Crystal (story of the LED), Yury R.
Nosov, Nov/Dec90, p12 (Feature)
Light Pressure (are sunny days more burdensome?),
S. V. Gryslov, May/Jun98, p36 (Looking Back)
The Limits to Growth Revisited (a primer on
exponential growth, overshoot, and dynamic modeling), Kurt
Kreith, Sep/Oct97, p4 (Feature)
The Little House on the Tundra (keeping
the foundation from melting the ground), A. Tokarev, Jul/Aug00,
p38 (At the Blackboard)
A Little Lens Talk (“paper” and “real”
lenses), Alexander Zilberman, May/Jun94, p35 (At the Blackboard)
Local Fields Forever (looking at gravity and acceleration),
Arthur Eisenkraft and Larry D. Kirkpatrick, Jan/Feb98, p32
(Physics Contest)
The Long and Short of It (ruminations on the notion
of “length”), Anatoly Savin, Mar/Apr96, p32 (Kaleidoscope)
The Long Road to Longitude (how we finally became
“coordinated”), A. A. Mikhailov, Mar/Apr97, p42
(Looking Back)
Look, Ma—No Calculus! (a spreadsheet approach
to population dynamics), Kurt Kreith, Nov/Dec94, p15 (Feature)
The Lorentz/FitzGerald Diet (poem), David
Arns, Jan/Feb99, p41
Lost in a Forest (Bellman’s problem: how to
get out in the shortest time?), George Berzsenyi, Nov/Dec95,
p41 (Math Investigations)
Love and Hate in the Molecular World (the “emotions”
of dipoles), Albert Stasenko, Nov/Dec94, p10 (Feature)
Lunar Launch Pad (could a volcano have given
birth to a satellite of the Earth of Sun?), A. Stasenko, Mar/Apr01,
p44 (Forces of Nature)
Lunar Miscalculation (how to get stranded in the pitch-dark
mountains), Bill G. Aldridge, Nov/Dec96, p2 (Publisher’s
Page)
The Lunes of Hippocrates (an early attempt to square
the circle), V. N. Berezin, Jan/Feb98, p39 (Looking Back)
M
A Magical Musical Formula (soundless guitar tuning),
P. Mikheyev, Jan/Feb95, p30 (In the Lab)
The Magic of 3 x 3 (specifically, a magic square of
squares), Martin Gardner, Jan/Feb96, p24 (Mathematical Surprises)
Magnetic Fieldwork (measuring magnetic fields),
D. Tselykh, Sep/Oct98, p46 (In the Lab)
Magnetic Levitation Comes of Age (superconductivity
applied), Thomas D. Rossing and John R. Hull, Mar/Apr95, p22
(Feature)
Magnetic Monopoly (in search of the magnetic monopole),
John Wylie, May/Jun95, p4 (Feature)
Magnetic Personality (Hans Christian Ørsted),
V. Kartsev, May/Jun99, p42 (Looking Back)
Magnetic Vee (a constant current I
in a wire shaped like a V), Larry D. Kirkpatrick
and Arthur Eisenkraft, Mar/Apr00, p34 (Physics Contest)
Magnets, Charges, and Planets (the search for connections
among forces), Albert Stasenko, May/Jun97, p42 (At the Blackboard)
A Magnificant Obsession (perfect numbers), Michael
H. Brill and Michael Stueben, Jan/Feb93, p18 (Feature)
Make Yourself Useful, Diana (the Moon as a radio telescope
antenna), P. V. Bliokh, Mar/Apr92, p34 (Feature)
Making the Crooked Straight (linearizing mechanism
for the steam engine), Yury Solovyov, Nov/Dec90, p20 (Feature)
The Many Faces of Ice (the physics of frozen
water), A. Zaretsky, Jul/Aug01, p6 (Feature)
Many Happy Returns (the tricky business
of returning from space), Albert Stasenko, Jul/Aug01, p16
(Feature)
Many Ways to Multiply (a survey of techniques),
Anatoly Savin, Mar/Apr01, p28 (Kaleidoscope)
The Mapmaker’s Tale (Four Color Theorem goes
awry), Sheldon Lee Glashow, May/Jun93, p46 (Smiles)
Marching Orders (finite group primer), Alexey Sosinsky,
Nov/Dec91, p6 (Feature)
The Markov Equation (an elegant solution
to a Diophantine equation), M. Krein, Jan/Feb00, p42 (At the
Blackboard)
Mars or Bust! (problems related to exploring the Red
Planet), Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr97,
p34 (Physics Contest)
Martin Gardner’s “Royal Problem”
(generalization of a chessboard problem), Jesse Chan, Peter
Laffin, and Da Li, Sep/Oct93, p45 (Follow-up)
A Mathematical Handbook with No Figures (silliness
with a purpose), Yuly Danilov, May/Jun94, p42 (Quantum Smiles)
Mathematical Hopscotch (discontinuous Q&A), Jul/Aug94,
p28 (Kaleidoscope)
The Mathematician, the Physicist, and the Engineer
(science jokes on the Internet), May/Jun96, p48 (Quantum Smiles)
Mathematics: 1900–1950 (an overview),
V. Tikhomirov, Mar/Apr00, p4 (Feature)
Mathematics in Living Organisms (calculating cats),
M. Berkenblit and E. Glagoleva, Nov/Dec92, p34 (Feature)
Mathematics in Perpetual Motion (imaginary elliptical
engine), Anatoly Savin, Jul/Aug94, p4 (Feature)
Math Relay Races (relay problems from the trenches),
Don Barry, May/Jun98, p26 (At the Blackboard)
Matter and Gravity (material points and
extended objects), Sep/Oct00, p28 (Kaleidoscope)
Matter and Magnetism (a quick tour), Mau/Jun01,
p28 (Kaleidoscope)
Maximizing the Greatest (revisiting a GCD problem),
George Berzsenyi, May/Jun95, p39 (Math Investigations)
Meandering down to the Sea (natural curvature of riverbeds),
Lev Aslamazov, Jul/Aug92, p34 (In the Lab)
The Mean Value of a Function (stretching an arithmetic
concept), Yury Ionin and Alexander Plotkin, Nov/Dec95, p26
(Feature)
The Medians (multiple proofs of a well-known theorem),
Vladimir Dubrovsky, Nov/Dec94, p32 (Kaleidoscope)
Meeting No Resistance (high-temperature superconductivity),
Alexander Buzdin and Andrey Varlamov, Sep/Oct91, p6 (Feature)
A Meeting of Minds (US-Soviet science teachers conference),
Bill G. Aldridge, Sep/Oct91, p4 (Publisher’s Page)
Merry-go-round Kinematics (a dynamic game of cherry
tossing), Albert Stasenko, Sep/Oct96, p48 (At the Blackboard)
Message from Afar (poem), David Arns, May/Jun99,
p48 (Musings) [reprinted Nov/Dec99, p9]
Milk Routes (the best whey into town), Dr. Mu, Mar/Apr98,
p55 (Cowculations)
Minimal Surfaces (wire contours and soap
films), A. Fomenko, May/Jun00, p4 (Feature)
Mirror Full of Water (wet optics), Arthur Eisenkraft
and Larry D. Kirkpatrick, Jul/Aug94, p32 (Physics Contest)
Miss or Hit (more Perelman problems), Mar/Apr93, p32
(Kaleidoscope)
Modeling a Tornado (cyclone in a jar), V.
Mayer, May/Jun00, p42 (In the Lab)
Models of Efficiency (problems and facts about work,
power, and efficiency), Sep/Oct94, p32 (Kaleidoscope)
The Modest Experimentalist, Henry Cavendish (scientist
who didn’t publish results), S. Filonovich, Jan/Feb91,
p41 (Looking Back)
Molecular Interactions Up Close (fundamental
forces), G. Myakishev, May/Jun00, p8 (Feature)
Molecular Intrigue (how small are molecules?), A.
Leonovich, Jan/Feb98, p28 (Kaleidoscope)
A Moon of Steel (loony research), M. A. Koretz and
Z. L. Ponizovsky, Jul/Aug93, p24 (Smiles)
The Moscow Correspondence School in Quantum
(sample problems from a school without walls), I. M. Gelfand,
Mar/Apr91, p42 (Math by Mail)
The “Most Inertial” Reference Frame (the
universe’s relict radiation), Gennady Myakishev, Mar/Apr95,
p48 (In Your Head)
The Most Mysterious Shape of All (a spiral primer),
Mar/Apr95, p32 (Kaleidoscope)
The Most Profit with the Least Effort (Chebyshev’s
“The Drawing of Geographic Maps”), Yuly Danilov,
Sep/Oct94, p35 (Anthology)
Mushrooms and X-ray Astronomy (natural collimator),
Alexander Mitrofanov, Jul/Aug94, p10 (Feature)
Musical Chairs (a variant, and a question),
Don Piele, May/Jun01, p54 (Informatics)
Moving Matter (using a pendulum to measure speed),
Arthur Eisenkraft and Larry D. Kirkpatrick, May/Jun96, p34
(Physics Contest)
The Multidimensional Cube (an introduction to multidimensional
space), Vladimir Dubrovsky, Sep/Oct96, p4 (Feature)
The Music of Physicists (amusing anecdotes about Einstein,
Bunsen, Planck, and Rutherford), Sep/Oct90, p54 (Quantum Smiles)
The Mystery of Figure No. 51 (descendant of tangram),
Alexey Panov, Sep/Oct92, p63 (Toy Store)
N
The Name Game of the Elements (confusion and politics
in chemistry), Henry D. Schreiber, Sep/Oct96, p24 (Feature)
Nascent Non-Euclidean Geometry (revisiting
a geometry classic), N. I. Lobachevsky, May/Jun99, p20 (Feature)
The Natural Logarithm (derivation of an unnatural-looking
number), Bill G. Aldridge, Nov/Dec90, p26 (Getting to Know
…)
The Nature of an Ideal Gas (implications of the model),
A. Leonovich, May/Jun98, p32 (Kaleidoscope)
The Nature of Light (the Compton effect), Arthur Eisenkraft
and Larry D. Kirkpatrick, Nov/Dec96, p30 (Physics Contest)
Nature’s Fireworks (inner workings of the auroras),
A. K. Kikoyin, Jan/Feb92, p50 (Feature)
The Near and Far of It (limitations of optical
instruments), A. Stasenko, Mar/Apr01, p24 (Feature)
Nesting Puzzles (part I: The Tower of Hanoi and Panex),
Vladimir Dubrovsky, Jan/Feb96, p53 (Toy Store)
Nesting Puzzles (part II: Chinese rings and the return
of the dragon), Vladimir Dubrovsky, Mar/Apr96, p61 (Toy Store)
Neutrinos and Supernovas (physics challenge), Arthur
Eisenkraft and Larry D. Kirkpatrick, Nov/Dec90, p35 (Contest)
Neutrons Seek the Murderer (neutron activation analysis),
A. S. Shteinberg, May/Jun92, p20 (In the Lab)
The New Earth (physics of a hollow Earth),
A. Stasenko, Jul/Aug99, p16 (Feature)
Nine Solutions to One Problem (classic triangle problem),
Constantine Knop, May/Jun94, p46 (At the Blackboard)
Nonreπeating, Πatternless, and Πerπetually
Aππproximated (aspects of pi), Nov/Dec00, p28
(Kaleidoscope)
Nonstandardly Continued Fractions (infinite processes
with simple answers), George Berzsenyi, Jan/Feb96, p39 (Math
Investigations)
Not All is Revealed (the Uncertainty Principle and
other forms of indeterminacy), Albert Stasenko, Nov/Dec96,
p42 (At the Blackboard)
Not a Silver Bullet—A Golden Opportunity
(how technology can improve science education), Stanley Litow,
Jan/Feb01, p3 (Front Matter)
Notes of a Traveler (education in the US and USSR),
Bill G. Aldridge, Nov/Dec90, p2 (Publisher’s Page)
The Notion of Vicinity (math challenge), George Berzsenyi,
Nov/Dec92, p18 (Math Investigations)
Nudging Our Way to a Proof (using the method of small
perturbations), Galina Balk, Mark Balk, and Vladimir Boltyansky,
Mar/Apr95, p4 (Feature)
Number Cells (numerical destinations), Thomas Hagspihl,
Nov/Dec97, p41 (At the Blackboard)
Number Show (a handful of numerical tricks), Ivan
Depman and Naum Vilenkin, Mar/Apr96, p46 (In Your Head)
Numbers in Our Genes (quantification in molecular
biology), Bill G. Aldridge, May/Jun94, p2 (Publisher’s
Page)
Number Systems (Babylonian, Roman, Mayan, and beyond),
Isaak Yaglom, Jul/Aug95, p22 (Feature)
Numeral Roamings (exploring nontraditional mathematical
operations), A. Egorov and A. Kotova, Mar/Apr98, p16 (Feature)
Numerical Data in Geometry Problems (new
angles to problem solving), S. V. Ovchinnikov and I. F. Sharygin,
May/Jun99, p37 (At the Blackboard)
O
Obtaining Symmetric Inequalities (Muirhead’s
Theorem), S. Dvoryaninov and E. Yasinovyi, Nov/Dec99, p44
(At the Blackboard)
The Oceanic Phone Booth (large-scale waveguides),
Andrey Varlamov and Alexey Malyarovsky, May/Jun93, p36 (Feature)
Of Amoebas and Men (amoeba in a dinner jacket), Alexey
Sosinsky, Jan90, p44 (Looking Back)
Of Combs and Coulombs (a smorgasbord of electrical
questions and facts), A. Leonovich, Jan/Feb97, p28 (Kaleidoscope)
Off into Space (jumping out of the plane), Vladimir
Dubrovsky and Igor Sharygin, Jan/Feb92, p44 (Feature)
Of Microscopes, E-mail, and Word of Mouth (questions
of survival), Bill G. Aldridge, May/Jun93, p2 (Publisher’s
Page)
An Old Algorithm (taking square roots),
Y. Solovyov, Mar/Apr00, p51 (At the Blackboard)
An Old Fact and Some New Ones (shape-numbers and number-shapes),
John Conway, Sep/Oct90, p24 (Mathematical Surprises)
Olympiad Honors (report on the 40th International
Mathematical Olympiad), Jan/Feb00, p41 (Happenings)
Olympian Effort (reminiscences of Moscow
competitions), V. Tikhomirov, Mar/Apr00, p32 (At the Blackboard)
Olympic Recap from England (XXXI International
Physics Olympiad), Mary Mogge, Nov/Dec00, p26 (Happenings)
The Omnipresent and Omnipotent Neutrino (brief history,
current research), Chris Waltham, Jul/Aug93, p10 (Feature)
One Problem After Another (chain questions), B. M.
Bolotovsky, Jan90, p13 (Quantum Smiles)
One’s Best Approach (summing up reciprocals),
O. T. Izhboldin and L. D. Kurlyandchik, Mar/Apr99, p24 (At
the Blackboard)
Ones Up Front in Powers of Two (Fractional Parts Theorem),
Vladimir Boltyansky, Nov/Dec93, p16 (Feature)
One, Two, Many (“primitive” counting method
of scientists), May/Jun92, p32 (Kaleidoscope)
On Kaleidoscopes (a look at them in all their dimensions),
E. B. Vinberg, May/Jun97, p4 (Feature)
On Quasiperiodic Sequences (an unexpected
use of graph paper), A. Levitov, A. Sidorov, and A. Stoyanovsky,
Sep/Oct00, p34 (At the Blackboard)
On the Edge (compassless constructions), Igor Sharygin,
Mar/Apr98, p28 (Kaleidoscope)
On the Nature of Space Magnetism (the cosmic “hydromagnetic
dynamo”), Alexander Ruzmaykin, Sep/Oct95, p12 (Feature)
On the Quantum Nature of Heat (finding direction
in chaos), V. Mityugov, Nov/Dec99, p10 (Feature)
Optics for a Stargazer (can one see stars at noon
from the bottom of a well?), Vladimir Surdin, Sep/Oct94, p18
(Feature)
The Orbit of Triangles (attractors and “butterflies”),
George Berzsenyi, Mar/Apr96, p43 (Math Investigations)
The Orchard Problem (planting trees but maintaining
a view), Vladimir Jankovic, Jan/Feb96, p16 (Feature)
Ordered Sets (ordered triplets, some generalizations,
and interesting inequalities), L. Pinter and I. Khegedysh,
Jul/Aug98, p43 (At the Blackboard)
Ornamental Groups (Escher and symmetry groups), Vladimir
Dubrovsky, Nov/Dec91, p32 (Kaleidoscope)
Osmosis the Magnificent (powerful, yes; perpetual
…?), Norayr Paravyan, Jul/Aug96, p39 (In the Lab)
The Other Half of What You See (more on derivatives
in algebraic problems), Vladimir Dubrovsky, Nov/Dec93, p44
(Follow-up)
Our Old Magnetic-Enigmatic Friend (follow-up
to “The Enigmatic Magnetic Force”), E. Romishevsky,
Nov/Dec00, p38 (At the Blackboard)
Out of Flexland (“gasping starfish” and
more), Vladimir Dubrovsky, Jul/Aug92, p63 (Toy Store)
Out Standing in the Field (divvying up the
purse in a shortened season), Dr. Mu, Jul/Aug97, p55 (Cowculations)
Out to Pasture (finding the digital product
root of 123456789), Dr. Mu, Jul/Aug99, p54 (Cowculations)
Overshooting the Limits (reappraising Malthus with
computer simulations), Bob Eberlein, Sep/Oct97, p14 (Feature)
P
The Painter’s Paradox (covering an infinite
surface), A. A. Panov, Mar/Apr91, p10 (Quantum Smiles)
Painting the Digital World (surface areas
of pixels and voxels), Michael H. Brill, Mar/Apr99, p10 (Feature)
Panting Dogs, Aromatic Blooms, and Tea in a Saucer
(tales of evaporation in the natural world), Andrey Korzhuyev,
Nov/Dec94, p30 (In the Open Air)
A Partial History of Fractions (unit fractions,
sexagesimal fractions, decimal fractions, binary fractions
…), N. Vilenkin, Sep/Oct00, p26 (Nomenclatorium)
A Party of Wise Guys (14th Annual Puzzle Party), Anatoly
Kalinin, Jul/Aug95, p63 (Toy Store)
Patterns of Predictability (symmetry, anisotropy,
and Ohm’s law), S. N. Lykov and D. A. Parshin, Nov/Dec91,
p36 (Feature)
Peering into Potential Wells (a common aspect
of three disparate objects), K. Kikoin, May/Jun01, p12 (Feature)
Penrose Patterns and Quasi-crystals (tiling and a
high-tech alloy), V. Koryepin, Jan/Feb94, p12 (Feature)
Perfect Shuffle (an algorithm for a deck
of six cards), Don Piele, Nov/Dec00, p55 (Informatics)
Periodic Binary Sequences (generating 0’s and
1’s), George Berzsenyi, Nov/Dec93, p50 (Math Investigations)
Periodic Functions in Hiding (math challenge), George
Berzsenyi, Sep/Oct92, p39 (Math Investigations)
A Permutator’s Bag of Tricks (solutions to rolling-block
puzzles) Vladimir Dubrovsky, Jan/Feb94, p62 (Toy Store)
The Pharaoh’s Golden Staircase (dynamic programming
and Bellman’s formula), M. Reytman, Mar/Apr94, p4 (Feature)
Phlogiston and the Magnetic Field (outgrown concepts),
Stephanie Eatman, Fraser Muir, and Hugh Hickman, Mar/Apr94,
p35 (Looking Back)
Photosynthesism (artificial barriers between disciplines),
Bill G. Aldridge, Jul/Aug92, p2 (Publisher’s Page)
Physical Optics and Two Camels (two-beam
interference and the limits of far-sightedness), A. Stasenko,
Sep/Oct99, p44 (At the Blackboard)
Physics Fights Frauds (scientific sleuthing), I. Lalayants
and A. Milovanova, Jan/Feb93, p10 (Feature)
Physics for Fools (hare-brained experiments for crackpots),
V. F. Yakovlev, Nov/Dec90, p17 (Quantum Smiles)
Physics in the Kitchen (simple experiments with boiling
water), I. I. Mazin, Sep/Oct97, p54 (In the Lab)
Physics in the News (calculus and the laws of scaling),
Albert A. Bartlett, May/Jun96, p50 (At the Blackboard)
Physics Limericks (finished and unfinished rhymes),
Robert Resnick, Sep/Oct90, p52 (Quantum Smiles)
The Physics of Chemical Reactions (molecular
kinetics), O. Karpukhin, Nov/Dec00, p4 (Feature)
The Physics of Walking (oscillations and
parametric resonance), I. Urusovsky, Sep/Oct00, p20 (Feature)
A Physics Soufflé (having enough information,
or too much), Arthur Eisenkraft and Larry D. Kirkpatrick,
Jul/Aug97, p30 (Physics Contest)
Physics Without Fancy Tools (summertime
scientific observations), A. Dozorov, Jul/Aug01, p28 (Kaleidoscope)
A Pigeonhole for Every Pigeon (math challenge), George
Berzsenyi, Sep/Oct90, p40 (Contest)
Pigeons in Every Pigeonhole (application of the Dirichlet
principle), Alexander Soifer and Edward Lozansky, Jan90, p24
(Feature)
Ping-Pong in the Sink (Bernoullian behavior), Alexey
Byalko, Jul/Aug93, p48 (In the Lab)
Pins and Spin (a bowling problem with a twist), Arthur
Eisenkraft and Larry D. Kirkpatrick, Jul/Aug95, p34 (Physics
Contest)
A Pivotal Approach (applying rotation in problem solving),
Boris Pritsker, May/Jun96, p44 (At the Blackboard)
The Pizza Theorem—Part I (equality of off-center
slices), George Berzsenyi, Jan/Feb94, p29 (Math Investigations)
The Pizza Theorem—Part II (including the Calzone
Theorem), George Berzsenyi, Mar/Apr94, p29 (Math Investigations)
Planar Graphs (can you make the connections?), A.
Y. Olshansky, Jan/Feb98, p10 (Feature)
A Planetary Air Brake (viscous drag and the slowing
of the Earth), D. C. Agrawal and V. J. Menon, Mar/Apr97, p40
(At the Blackboard)
Planetary Building Blocks (blueprints for creating
terra firma), V. Mescheryakov, Jul/Aug98, p4 (Feature)
Playing with the Ordinary (exploring everyday phenomena),
Sep/Oct92, p32 (Kaleidoscope)
Play It Again … (inducing strange repetitions),
John Conway, Nov/Dec90, p30 (Mathematical Surprises)
The Play of Light (results of a “slight”
change in the rules), Dmitry Tarasov and Lev Tarasov, May/Jun96,
p10 (Feature)
The Pointed Meeting of a Triangle’s Altitudes
(various ways of proving a well-known theorem), I. F. Sharygin,
Jul/Aug99, p28 (Kaleidoscope)
Points of Interest (unique locations within a triangle),
I. F. Sharygin, Mar/Apr98, p34 (At the Blackboard)
A Polarizer in the Shadows (life and physics of Etienne
Malus), Andrey Andreyev, Jan/Feb94, p44 (Looking Back)
A Portrait of Poisson (one of the founders of modern
mathematical physics), B. Geller and Y. Bruk, Mar/Apr91, p21
(Innovators)
Portrait of Three Puzzle Graces (Rubiklike games and
group theory), Vladimir Dubrovsky, Nov/Dec91, p63 (Toy Store)
The Power of Dimensional Thinking (problem-solving
method), Yuly Bruk and Albert Stasenko, May/Jun92, p34 (Feature)
The Power of Likeness (strengths and weaknesses of
analogy), S. R. Filonovich, Sep/Oct91, p22 (Feature)
The Power of the Sun and You (surprises of scale),
V. Lange and T. Lange, Jul/Aug96, p16 (Feature)
A Prelude to the Study of Physics (models and their
role in science), Robert J. Sciamanda, Nov/Dec96, p45 (Fundamentals)
The Price of Resistance (“kitchen
experiments” on how the medium “pushes back”),
S. Betyayev, Sep/Oct00, p38 (In the Lab)
Prime Time (prime number infinitude), G.
A. Galperin, Jan/Feb99, p10 (Feature)
A Princess of Mathematics (excerpt from autobiography
of Sofya Kovalevskaya), Yuly Danilov, Jan/Feb94, p37 (Anthology)
Principles of Vortex Theory (inside the
hydronamics of Helmholtz), N. Zhukovsky, Mar/Apr00, p26 (Feature)
The Problem Book of Anania of Shirak (ancient Armenian
mathematics), Yuly Danilov, Mar/Apr93, p42 (Looking Back)
The Problem Book of History (mathematical approach
to the past), Yuly Danilov, Sep/Oct93, p47 (Looking Back)
The Problem of Eight Points (intersecting
lines), N. B. Vasiliev, Jan/Feb99, p25 (At the Blackboard)
Problem Racing (formulating math problems out of everyday
experiences), Gary Sherman, Mar/Apr91, p45 (In Your Head)
Problems Beget Problems (follow-up on previously published
problems), George Berzsenyi, Sep/Oct95, p40 (Math Investigations)
Problems Teach Us How to Think (as Euler
said, “My pencil is sometimes more clever than my head”),
V. Proizvolov, Jan/Feb01, p42 (Problem Primer)
Programming Challenges (problems from the 1994 IOI),
Jan/Feb95, p49 (Happenings)
Ptolemy’s Trigonometry (proving and
using his theorem), V. Zatakavai, jan/Feb01, p40 (Looking
Back)
Q
The Quadratic (something old, something new), Vladimir
Boltyansky, Sep/Oct95, p45 (At the Blackboard)
The Quadratic Trinomial (combining algebraic
and geometric reasoning), A. Bolibruch, V. Uroev, and M. Shabunin,
May/Jun00, p36 (At the Blackboard)
Quantum in Outer Space and the Inner Space of Art
(International Space Year and Kvant art), Bill G. Aldridge,
May90, p3 (Publisher’s Page)
The Quantum Nature of Light (visible proof
of quanta), D. Sviridov and R. Sviridova, Nov/Dec98, p28 (Looking
Back)
Quaternions (simple operations with complex
numbers), A. Mishchenko and Y. Solovyov, Sep/Oct00, p4 (Feature)
Queens on a Cylinder (cylindrical and toroidal chess
[see “Torangles and Torboards,” Mar/Apr94]), Alexey
Tolpygo, May/Jun96, p38 (Follow-up)
Questioning Answers (in every ending is a beginning),
Barry Mazur, Jan/Feb97, p4 (Feature)
A Question of Complexity (and the need to
simplify in solving physics problems), Arthur Eisenkraft and
Larry D. Kirkpatrick, Nov/Dec99, p32 (Physics Contest)
R
Raising the Boats or Lowering the Water (misuse of
the National Science Education Standards), Bill G. Aldridge,
May/Jun95, p2 (Publisher’s Page)
Ramanujan the Phenomenon (India’s inspired mathematician),
S. G. Gindikin, Mar/Apr98, p4 (Feature)
Randomly Seeking Cipollino (introduction to random
walk), S. Sobolev, Jul/Aug93, p20 (Feature)
Reaching Back (extending a helping hand), Bill G.
Aldridge, Nov/Dec91, p5 (Publisher’s Page)
Rearranging Sums (math challenge), George Berzsenyi,
Jan/Feb91, p18 (Contest)
Reflection and Refraction (a look at optics), Sep/Oct91,
p32 (Kaleidoscope)
Relativistic Conservation Laws (special
relativity is no excuse not to obey conservation laws), Larry
D. Kirkpatrick and Arthur Eisenkraft, Nov/Dec00, p30 (Physics
Contest)
Relativity of Motion (frames of reference),
A. I. Chernoutsan, Mar/Apr99, p44 (At the Blackboard)
Remarkable Geometric Formulas (algebraic
relations), I. F. Sharygin, Mar/Apr99, p28 (Kaleidoscope)
Remarkable Limits (generated by classical means),
M. Crane and A. Nudelman, Jul/Aug97, p34 (At the Blackboard)
Repartitioning the World (population and
the powers of two), V. Arnold, Jan/Feb00, p34 (Digit Demographics)
Resistance in the Multidimensional Cube (a physical
application of a math concept), F. Nedemeyer and Y. Smorodinsky,
Sep/Oct96, p12 (Feature)
Restricted Distances (math challenge), George Berzsenyi,
Jan/Feb92, p31 (Math Investigations)
Returning to a Former State (Rubik’s
Cube and periodicity), A. Savin, Nov/Dec99, p28 (Kaleidoscope)
Revisiting Napoleon’s Theorem (via the Internet),
George Berzsenyi, Jul/Aug95, p37 (Math Investigations)
Revisiting the N-cluster Problem (a classic
problem from Math.Note at DEC), George Berzsenyi, Jan/Feb97,
p47 (Math Investigations)
A Revolution Absorbed (how non-Euclidean geometry
entered the mainstream), E. B. Vinberg, Jan/Feb97, p18 (Feature)
Revolutionary Teaching (the Ecole Polytechnique in
Paris), Yuri Solovyov, Mar/Apr98, p26 (Looking Back)
The Riddle of the Etruscans (gold spheres on jewelry),
A. S. Alexandrov, Sep/Oct91, p42 (In the Lab)
A Ride on Sierpinski’s Carpet (fractals in the
mind and in nature), I. M. Sokolov, May/Jun92, p6 (Feature)
Rigidity of Convex Polyhedrons (solid solutions),
N. P. Dolbilin, Sep/Oct98, p8 (Feature)
Ripples on a Cosmic Sea (graviational waves),
Shane S. Larson, Mar/Apr01, p4 (Feature)
Rising Star (a problem of wave interference), Arthur
Eisenkraft and Larry D. Kirkpatrick, Sep/Oct94, p44 (Physics
Contest)
Rivers, Typhoons, and Molecules (all are affected
by the Coriolis force), Albert Stasenko, Jul/Aug98, p38 (At
the Blackboard)
Rock ’n’ No Roll (rocking cliffs),
A. Mitrofanov, Mar/Apr01, p18 (Feature)
The Rolling Cubes (solutions and records), Vladimir
Dubrovsky, May/Jun94, p62 (Toy Store)
Rolling Wheels (design considerations facing
the engineer), Arthur Eisenkraft and Larry D. Kirkpatrick,
May/Jun00, p30 (Physics Contest)
Rook versus Knight (twists in a common endgame), Yevgeny
Gik, Nov/Dec90, p64 (Checkmate!)
A Rotating Capacitor (electromagnetic fields
and motion), A. Stasenko, May/Jun99, p34 (At the Blackboard)
Row, Row, Row Your Boat (physics challenge), Arthur
Eisenkraft and Larry D. Kirkpatrick, Jan/Feb93, p42 (Physics
Contest)
A Royal Problem (marital tension on a chessboard),
Martin Gardner and Andy Liu, Jul/Aug93, p30 (Checkmate!)
Rubik Art (monumental designs built from the classic
cube), May/Jun97, p31 (Toy Store)
Russian Bazaar (economic hard times), Bill G. Aldridge,
May/Jun92, p2 (Publisher’s Page)
S
Sally Ride (biographical sketch), Jan90, p39 (Innovators)
Satellite Aerodynamic Paradox (orbital irregularities),
A. Mitrofanov, Jan/Feb99, p18 (Feature)
The Satellite Paradox (acceleration upon entering
atmosphere), Y. G. Pavlenko, Mar/Apr93, p50 (At the Blackboard)
Savoring Science (piquancy of primary sources), Bill
G. Aldridge, Nov/Dec93, p2 (Publisher’s Page)
The School Bus and the Mud Puddles (inclusion-exclusion
theory), Thomas P. Dence, Jan/Feb95, p24 (Feature)
Science and Fanaticism (reflections on public policy),
Bill G. Aldridge, Sep/Oct92, p2 (Publisher’s Page)
The Science of Pole Vaulting (materials
and techniques), Peter Blanchonette and Mark Stewart, May/Jun01,
p48 (Physical Education)
The Science of the Jump-Shot (basketball kinematics),
Roman Vinokur, Jan/Feb93, p46 (At the Blackboard)
Science vs. the UFO (solving a tranformational puzzle),
Will Oakley, Jan/Feb92, p84 (Toy Store)
Science with Charm (communicating the simplicity of
physics), Bernard V. Khoury, Mar/Apr98, p2 (Front Matter)
sciLINKS: The World’s a Click Away
(techy textbooks), Gerald F. Wheeler, Sep/Oct98, p2 (Front
Matter)
Scores and SNO in Sudbury (report on the 1997 International
Physics Olympiad), Nov/Dec97, p44 (Happenings)
Sea Sounds (underwater refraction of sound waves),
Arthur Eisenkraft and Larry D. Kirkpatrick, Mar/Apr96, p34
(Physics Contest)
Sea Waves (describing wave motion), L. A.
Ostrovsky, Nov/Dec98, p20 (Feature)
The Secret of the Venerable Cooper (Johannes Kepler
and mysterious barrels), M. B. Balk, May90, p36 (Looking Back)
Seeing is Believing (visual proofs of the Pythagorean
theorem), Daniel J. Davidson and Louis H. Kauffman, Jul/Aug97,
p24 (Feature)
Selecting the Best Alternative (mathematical
programming and problems of management), V. Gutenmakher and
Zh. Rabbot, Nov/Dec99, p36 (At the Blackboard)
Self-propelled Sprinkler Systems (an attempt
at applying Segner’s wheel), A. Stasenko, May/Jun01,
p40 (In the Open Air)
Self-similar Mosaics (when the whole is
the sum of its parts), N. Dolbilin, Jul/Aug00, p4 (Feature)
Shady Computations (a paradox at the boundary of dark
and light), Chauncey W. Bowers, Nov/Dec96, p34 (At the Blackboard)
Shake, Rattle, and Roll (physics challenge), Arthur
Eisenkraft and Larry D. Kirkpatrick, May/Jun92, p40 (Physics
Contest)
Shall We Light a Fire in the Fireplace? (an equation
that seems to say: “Don’t bother”), Victor
Lange, Jan/Feb96, p40 (At the Blackboard)
Shape Numbers (exploring a Fermat hypothesis),
A. Savin, Sep/Oct00, p14 (Feature)
Shapes and Sizes (math challenge), George Berzsenyi,
Nov/Dec 90, p34 (Contest)
Sharing a Point (a handy method for a common
geometric challenge), I. Sharygin, Jul/Aug00, p35 (At the
Blackboard)
Shortest Networks (Jacob Steiner’s famous problem),
E. Abakumov, O. Izhboldin, L. Kurlyandchik, and N. Netsvetayev,
May/Jun93, p4 (Feature)
Shortest Path (Edsger Kijkstra and his algorithm),
Don Piele, May/Jun00, p54 (Informatics)
Short Takes (jokes, cartoons), Mar/Apr91, p11 (Quantum
Smiles)
The Short, Turbulent Life of Evariste Galois (a revolutionary
in politics and math), Y. P. Solovyov, Nov/Dec91, p42 (Looking
Back)
Shouting into the Wind (quantifying how
sounds fade on windy days), G. Kotkin, Nov/Dec00, p40 (In
the Open Air)
Signals, Graphs, and Kings on a Torus (ensuring error-free
communication), A. Futer, Nov/Dec95, p12 (Feature)
A Simple Capacity for Heat (specific heat and molecular
motion), Valeryan Edelman, Nov/Dec93, p22 (Feature)
The Simplicity of Mathematics (complications of life,
Stone Age math), Jan/Feb91, p48 (Quantum Smiles)
The Sines and Cosines You Do and Don’t Know
(survey with linguistic digressions), Nov/Dec93, p32 (Kaleidoscope)
Sink or Swim (whales and buoyancy), N. Rodina,
May/Jun00, p34 (In the Open Air)
Six Challenging Dissection Tasks (and the birth of
“high-phi”), Martin Gardner, May/Jun94, p26 (Mathematical
Surprises)
Sky (poem), David Arns, Mar/Apr99, p54
Slinking Around (springy physics), Diar Chokin, Nov/Dec92,
p64 (Toy Store)
Slipping Silage (how to calculate the amount of stolen
hay), Dr. Mu, May/Jun97, p63 (Cowculations)
Smale’s Horseshoe (a venture in symbolic dynamics),
Yuly Ilyashenko and Anna Kotova, May/Jun95, p12 (Feature)
Smoky Mountain (why the air is warmer on the leeward
side), Ivan Vorobyov, Nov/Dec95, p38 (At the Blackboard)
A Snail That Moves Like Light (physics challenge),
Arthur Eisenkraft and Larry D. Kirkpatrick, Sep/Oct91, p28
(Physics Contest)
Solar Calculator (accurate thinking about precision),
Bill G. Aldridge, Sep/Oct96, p2 (Publisher’s Page)
Solving for the Slalom (understand the forces
and it’s all downhill from there), A. Abrikosov, Nov/Dec99,
p20 (Feature)
Some Mathematical Magic (“magic squares”
and a magic tesseract), John Conway, Mar/Apr91, p28 (Mathematical
Surprises)
Some Things Never Change (problem solving with invariants),
Yury Ionin and Lev Kurlyandchik, Sep/Oct93, p34 (Feature)
Songs That Shatter and Winds That Howl (sound thinking),
Jan/Feb94, p32 (Kaleidoscope)
Sound Power (intense acoustic waves), O.
V. Rudenko and V. O. Cherkezyan, Sep/Oct98, p26 (Feature)
Sources, Sinks, and Gaussian Spheres (physics challenge),
Arthur Eisenkraft and Larry D. Kirkpatrick, Jul/Aug92, p24
(Physics Contest)
So What’s the Joke? (the damage done by a computer
virus), Bill G. Aldridge, Jan/Feb96, p2 (Publisher’s
Page)
So What’s the Point? (replacing algebra with
geometry in vector analysis), Gary Haardeng-Pedersen, Mar/Apr96,
p48 (At the Blackboard)
So, What’s Wrong? (debunking problematic solutions),
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