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.

qtf_guagesym

Mathematical Quantum Field Theory - Gauge Symmetries

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This is one chapter in a series on Mathematical Quantum Field…
qft_prapagators

Mathematical Quantum Field Theory - Propagators

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This is one chapter in a series on Mathematical Quantum Field…
qtf_phasespace

Mathematical Quantum Field Theory - Phase Space

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The following is one chapter of a series on Mathematical Quantum…
qtf_observables

Mathematical Quantum Field Theory - Observables

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The following is one chapter in a series on Mathematical Quantum…
dna_stretch

New Research on Untying Knots in Polymers

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A joint computational-experimental paper that I worked on was…
qtf_symmerities

Mathematical Quantum Field Theory - Symmetries

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The following is one chapter in a series on Mathematical Quantum…
qft_lang

Mathematical Quantum Field Theory - Lagrangians

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This is one chapter in a series on Mathematical Quantum Field…
qtf_field_variations2

Mathematical Quantum Field Theory - Field Variations

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This is chapter 4 of a series on Mathematical Quantum Field Theory.The…
dna_twist

Using the Spaghetti-Twist to Align DNA

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A new paper from a collaboration of Canadian physicists has demonstrated…
qtf_fields

Mathematical Quantum Field Theory - Fields

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The following is one chapter in a series on Mathematical Quantum…
qft_spacetime

Mathematical Quantum Field Theory - Spacetime

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The following is one chapter in a series on Mathematical Quantum…
qtf_geometry

Mathematical Quantum Field Theory - Geometry

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This is the first chapter in a series on Mathematical Quantum…
quantumfieldtheory

A First Idea of Quantum Field Theory - 20 Part Series

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These notes mean to give an expository but rigorous introduction…
circuitanalysis

The What and Why of Circuit Analysis Assumptions

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Probably everyone reading this article already has an education…

A Journey to The Manifold SU(2): Differentiation, Spheres and Fiber Bundles

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Part 2  Differentiation, Spheres and Fiber Bundles Image…
perturbation

Introduction to Perturbative Quantum Field Theory

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This is the beginning of a series that gives an introduction…
quantumpeace

How I Stopped Worrying and Learned to Love Orthodox Quantum Mechanics

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Many people here know that I am a "Bohmian", i.e. an adherent…

15 of the Best PF 2017 Eclipse Photos

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The 2017 August Eclipse really was something special. Fortunately…
inflation5

A Poor Man's CMB Primer: Quantum Seeds

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 The CMB establishes a record of ancient acoustic…
mathoperators

How to Tell Operations, Operators, Functionals and Representations Apart

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 All these concepts belong to the toolbox of physicists.…
epsresults

Results Shown at EPS Conference

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The EPS conference was a week ago, and many new results and future…
m-theory

Super p-Brane Theory Emerging from Super Homotopy Theory

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 A notorious open problem: What is the non-perturbative…
EdmondHamilton

Assessing the Physics in Edmond Hamilton's "The Second Satellite"

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This article won't contain much about physics that typical readers…
entanglement_entropy2

Entanglement Entropy: Quantum Field Theory

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Part 1: Quantum Mechanics[This article expects the reader…
dampedforces

Damped Motion in Classical and Quantum Mechanics

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This Insights article is about dissipative forces (friction,…
SpectralParadox

Exploring the Spectral Paradox

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In terms of wavelength, peak solar radiation occurs at about…
undergradresearch

Niches for Publishable Undergraduate Research

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Undergraduate interest in research is a good thing; it's even…
coldquestioning

Very Little Excuse To Ask A Question Cold

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We frequently get questions such as these:"What is energy?""What…
entanglement_entropy

Entanglement Entropy: Quantum Mechanics

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Quantum Mechanics(QM) is one of the greatest intellectual achievements…
physicslab

Revamping Undergraduate Introductory Physics Laboratory

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This is a compilation of my blog entry on this singular "project"…
cameralense

New High Performance Ultra-wide Angle Lenses

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Note, unless otherwise specified, all focal lengths are in terms…
diffractiontheory

The Diffraction Limited Spot Size with Perfect Focusing

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Purpose: The purpose of this Insights article is to give…
learned

What Is The Most Important Thing That You Learned?

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I mentioned in an earlier Insight on what I think are the most…
cornuspiral

Frenet Equations in 2-D Which Result in the Cornu Spiral

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This Insights article is intended as an introduction to the Frenet-Serret…
experimenthistory

History's First Science Experiments

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In this Insight I'm going to talk about two of the first science…
boatramps

Real Research in Unexpected Places - Boat Ramps

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Read part 1 -Backyards, Barns, BayousReal Research in Unexpected…
geometrysimple

Simple Geometry, Deep Math

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IntroductionIt is a remarkable fact that consideration of…
quantumflux

Vacuum Fluctuations in Experimental Practice

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

Permanent Magnets Explained by Magnetic Surface Currents

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Introduction:The purpose of this Insight is to explain permanent…
highercategorytheory

Why Higher Category Theory in Physics?

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 This here is my personal story. For an alternative…
SchwarzschildGeometry3

The Schwarzschild Geometry: Spacetime Diagrams

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 When we left off in part 2, we were looking at…
fakenews

Fake News and Science Reporting

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During and even after the recent US election campaign, there…