His algorithm has swept the field. The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples. Quantum bits are fussy and fragile. Useful quantum computers will need to use an error-correction technique like the one that was recently demonstrated on a real machine.
Physicists are translating commonsense principles into strict mathematical constraints on how our universe must have behaved at the beginning of time. New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. Investigations of the simplest possible clocks have revealed their fundamental limitations — as well as insights into the nature of time itself.
To a dynamicist like Amie Wilkinson, understanding the universe is about knowing all the right moves. Quanta Magazine is committed to in-depth, accurate journalism that serves the public interest. Each article braids the complexities of science with the malleable art of storytelling and is meticulously reported, edited and fact-checked.
Launched and funded by the Simons Foundation, Quanta is editorially independent — our articles do not reflect or represent the views of the foundation. The Horrors of Resonance are you in for a rough landing? Horseflies and Flying Horses matters of scale in the animal world , A. Yarsky, May90, p43 Quantum Smiles.
How About a Date? How Enlightened Are You? How Long Does a Comet Live? How Many Bubbles are in Your Bubbly? How to Escape the Rain to run or to walk? Hurling at the Abyss oscillating too-short bridges , A.
Hydroparadoxes when fluids forsake model behavior , S. Hyperbolic Tension measuring the coefficient of surface tension , I. Image Charge electrostatic investigation , Larry D. Incandescent Bulbs illuminating thermal expansion , D. Agrawal and V. Emelyanov, A. Zharkov, V. Zagainov, and V. The Ins and Outs of Circles inscribed and circumscribed circles , I. In Search of Perfection numbers equal to the sum of their own divisors , I. Interacting Bodies all about collisions , A.
Interstellar Bubbles a phase in the life cycle of stars , S. In the Planetary Net the potential in gravitational fields , V. An Invitation to the Bathhouse physics in the Russian banya , I.
Irrationality and Irreducibility how are they connected? Irregular Regular Polygons a math problem found in a dictionary , Eric D. Carlson and Sheldon L. Is This What Fermat Did? Jingle Bell? Latin Rectangles exercise in combinatorics , V. Lattices and Brillouin Zones polygonal patterns , A. Launch into International Space Year! The Legacy of al-Khwarizmi the origins of algebra , Z. Usmanov and I. Light in a Dark Room history of the camera obscura , V.
Surdin and M. Light Pressure are sunny days more burdensome? The Little House on the Tundra keeping the foundation from melting the ground , A. Look, Ma—No Calculus! Lunar Ironies it is made of cheese! Koretz and Z. Lunar Launch Pad could a volcano have given birth to a satellite of the Earth of Sun?
Lunar Miscalculation how to get stranded in the pitch-dark mountains , Bill G. The Lunes of Hippocrates an early attempt to square the circle , V. A Magical Musical Formula soundless guitar tuning , P. Magnetic Fieldwork measuring magnetic fields , D. Rossing and John R. A Magnificant Obsession perfect numbers , Michael H.
The Many Faces of Ice the physics of frozen water , A. The Markov Equation an elegant solution to a Diophantine equation , M. Mars or Bust! Mathematics in Living Organisms calculating cats , M. Berkenblit and E. Minimal Surfaces wire contours and soap films , A. Molecular Interactions Up Close fundamental forces , G. Molecular Intrigue how small are molecules? A Moon of Steel loony research , M.
The Mystery of Figure No. Nascent Non-Euclidean Geometry revisiting a geometry classic , N. The Natural Logarithm derivation of an unnatural-looking number , Bill G. The Nature of an Ideal Gas implications of the model , A. The Near and Far of It limitations of optical instruments , A. Neutrons Seek the Murderer neutron activation analysis , A.
The New Earth physics of a hollow Earth , A. Numbers in Our Genes quantification in molecular biology , Bill G. Numeral Roamings exploring nontraditional mathematical operations , A. Egorov and A. Numerical Data in Geometry Problems new angles to problem solving , S.
Ovchinnikov and I. Dvoryaninov and E. Of Combs and Coulombs a smorgasbord of electrical questions and facts , A. An Old Algorithm taking square roots , Y. Olympian Effort reminiscences of Moscow competitions , V. One Problem After Another chain questions , B. Bolotovsky, Jan90, p13 Quantum Smiles.
Izhboldin and L. On Kaleidoscopes a look at them in all their dimensions , E. On Quasiperiodic Sequences an unexpected use of graph paper , A. Levitov, A. Sidorov, and A. On the Quantum Nature of Heat finding direction in chaos , V. Optics for a Stargazer can one see stars at noon from the bottom of a well? Ordered Sets ordered triplets, some generalizations, and interesting inequalities , L. Pinter and I. Osmosis the Magnificent powerful, yes; perpetual …?
Out Standing in the Field divvying up the purse in a shortened season , Dr. Out to Pasture finding the digital product root of , Dr.
Painting the Digital World surface areas of pixels and voxels , Michael H. A Partial History of Fractions unit fractions, sexagesimal fractions, decimal fractions, binary fractions … , N. Lykov and D. Peering into Potential Wells a common aspect of three disparate objects , K. Penrose Patterns and Quasi-crystals tiling and a high-tech alloy , V.
Photosynthesism artificial barriers between disciplines , Bill G. Physical Optics and Two Camels two-beam interference and the limits of far-sightedness , A. Physics Fights Frauds scientific sleuthing , I. Lalayants and A. Physics for Fools hare-brained experiments for crackpots , V.
Physics in the Kitchen simple experiments with boiling water , I. Physics in the News calculus and the laws of scaling , Albert A. The Physics of Chemical Reactions molecular kinetics , O. The Physics of Walking oscillations and parametric resonance , I. Physics Without Fancy Tools summertime scientific observations , A. Planar Graphs can you make the connections? Planetary Building Blocks blueprints for creating terra firma , V. Points of Interest unique locations within a triangle , I.
A Portrait of Poisson one of the founders of modern mathematical physics , B. Geller and Y. The Power of Likeness strengths and weaknesses of analogy , S. The Power of the Sun and You surprises of scale , V. Lange and T. Principles of Vortex Theory inside the hydronamics of Helmholtz , N.
The Problem of Eight Points intersecting lines , N. The Quadratic Trinomial combining algebraic and geometric reasoning , A. Bolibruch, V. Uroev, and M. The Quantum Nature of Light visible proof of quanta , D. Sviridov and R. Quaternions simple operations with complex numbers , A. Mishchenko and Y. Randomly Seeking Cipollino introduction to random walk , S.
Reaching Back extending a helping hand , Bill G. Relativistic Conservation Laws special relativity is no excuse not to obey conservation laws , Larry D. Relativity of Motion frames of reference , A. Remarkable Geometric Formulas algebraic relations , I.
Remarkable Limits generated by classical means , M. Crane and A. Repartitioning the World population and the powers of two , V. Resistance in the Multidimensional Cube a physical application of a math concept , F. Nedemeyer and Y. Revisiting the N -cluster Problem a classic problem from Math. A Revolution Absorbed how non-Euclidean geometry entered the mainstream , E. The Riddle of the Etruscans gold spheres on jewelry , A. Rigidity of Convex Polyhedrons solid solutions , N.
Ripples on a Cosmic Sea graviational waves , Shane S. A Rotating Capacitor electromagnetic fields and motion , A. Russian Bazaar economic hard times , Bill G. Satellite Aerodynamic Paradox orbital irregularities , A. The Satellite Paradox acceleration upon entering atmosphere , Y. Savoring Science piquancy of primary sources , Bill G. Science and Fanaticism reflections on public policy , Bill G.
Science vs. Science with Charm communicating the simplicity of physics , Bernard V. Balk, May90, p36 Looking Back. Seeing is Believing visual proofs of the Pythagorean theorem , Daniel J. Davidson and Louis H. Selecting the Best Alternative mathematical programming and problems of management , V.
Gutenmakher and Zh. His algorithm has swept the field. The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples. Quantum bits are fussy and fragile. Useful quantum computers will need to use an error-correction technique like the one that was recently demonstrated on a real machine.
Physicists are translating commonsense principles into strict mathematical constraints on how our universe must have behaved at the beginning of time.
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