Science and Math Articles

Here is the collection of expert science and math articles that span all the sciences and mathematics. Some examples include physics, mathematics, biology, chemistry, cosmology and earth sciences. For math we cover algebra to advanced calculus.

quantumapplitudes

Quantum Amplitudes, Probabilities and EPR

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This is a little note about quantum amplitudes. Even though quantum…
fishresearch

Real Research in Unexpected Places - Backyards, Barns, Bayous

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21st century science labors under the myth that good experimental…
representations

Representations and Why Precision is Important

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First of all: What is a representation? It is the description…
angledimensions

Can Angles be Assigned a Dimension?

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1. Some Background on Dimensional Analysis ... if you are…
whystudyphysics

Why Study Physics? A Bit Goes a Long Way!

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If you don’t plan to become a scientist or an engineer, is…
vaccummyth

The Vacuum Fluctuation Myth

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This Insight Article is a sequel of the Insight Articles ”The…
anyon

Anyon Demystified

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Every quantum physicist knows that all particles are either bosons…
frameofreference2

Frames of Reference: A Skateboarder's View

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My essay Explaining Rolling Motion raised some commentary about…
relativitygauge

General Relativity as a Gauge Theory

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The fundamental interactions of the Standard Model are described…
govandteachers

Blaming Government for Teacher and Scientist Failures in Integrity

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The article, "Governmental policy is wrecking science," makes…
quantumparticle

Spectral Standard Model and String Compactifications

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 The Connes-Lott-Chamseddine-Barrett model is the…
cmbprimer4

A Poor Man's CMB Primer: Cosmic Acoustics

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 Before decoupling, photons and charged particles…
spacetimecon

Struggles with the Continuum: Spacetime Conclusion

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 We've been looking at how the continuum nature…
11dgravity

11d Gravity From Just the Torsion Constraint

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 It is familiar that Einstein gravity may be formulated …
spacetime7

Struggles with the Continuum: General Relativity

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 Combining electromagnetism with relativity and…
ohmslaw

Why Ohm’s Law Is Not a Law

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At first I wanted this title to say “Ohm’s law is not a Law.” …
carcapacity

Why Road Capacity Is Almost Independent of the Speed Limit

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Let us start with a familiar situation. Take a familiar part…
quantumhard

Why Is Quantum Mechanics So Difficult?

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Strangely enough, QM's formalism isn't any more difficult than…
Supersymmetry

Supersymmetry and Deligne's Theorem

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 In 2002, Pierre Deligne proved a remarkable theorem…
LHC4

LHC Part 4: Searching for New Particles and Decays

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 The LHC experiments are in full swing collecting…
acusticbeats

Acoustic 'beats' from Mismatched Musical Frequencies

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In late high school physics courses and first year university…
polymer

Polymer Physics and Genetic Sequencing

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IntroductionMy main research focuses on using DNA molecules…
groupsandgeometry

Exploring the Relationship Between Group Theory and Geometry

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There is a very deep link between group theory and geometry.…
computers

An Interesting Ramsey Theory Riddle

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This insight will be about Ramsey theory. Ramsey theory has its…

Spacetime Diagrams of Light Clocks

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We demonstrate a method for constructing spacetime diagrams for…

A Problem From Greg Egan's "Incandescence"

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The following problem was inspired by reading Greg Egan's "Incadescence". …
softwarenotperfect

Why Your Software is Never Perfect

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We occasionally have students ask for help on software, "My software…
Photoacoustic

The Interaction of Sound and Light

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I recently wrote a post on my blog about a fairly esoteric idea…
logicp3

Scientific Inference: Balancing Predictive Success with Falsifiability

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  Bayes' Theorem: Balancing predictive success with…
logicp2

Scientific Inference: Do We Really Need Induction?

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  Part 2. "We don't need no stinkin' induction" --…
antigravity

Roger Babson's Anti-Gravity Contest

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In the early 20th century, an eccentric businessman named Roger…
logic1

Scientific Inference: Logical induction ain't logical

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 Three million years ago, the grandfathers of our…
virtualparticlesmyths

Misconceptions about Virtual Particles

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This Insight Article is a sequel of the Insight Article ''The…
acpoweranalysisp3

AC Power Analysis: Cyber Resilience

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 Power system security is much too big a topic for…
nightsky

How Representative is the Night Sky?

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A couple of weeks back, a thread was started about whether or…
encryption

Perfect Secrecy and the Unbreakable Cipher

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Is it possible to design an unbreakable cipher? Do methods of…
quantumentanglement

How the EPR Paradox Fits Between Entanglement and Nonlocality

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If we violate a Bell inequality, we know we have quantum entanglement,…
acpoweranalysisp2

AC Power Analysis: Network Analysis

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 Let me use the terms “power grid” and “network”…
Newton-Cartan-Theory

The Revival of Newton-Cartan Theory

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It's a calculation which you can find in any textbook on General…
virtualparticles

The Physics of Virtual Particles

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In discussions on the internet (including a number of wikipedia…
universeexpand

A Brief on the Expansion of the Universe

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The "ordinary Big Bang and expansion" (no inflation, no dark…
acpoweranalysisp1

AC Power Analysis: System Basics

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 Instantaneous PowerThe formula for power is:…