linearacceleration
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Frames of Reference: Linear Acceleration View

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My previous Insight, Frames of Reference: A Skateboarder's View,…
inferometer
,

Fabry-Perot and Michelson Interferometry: A Fundamental Approach

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Fabry-Perot Effect: The Fabry-Perot effect is usually treated…
FourierSeries
,

Using the Fourier Series To Find Some Interesting Sums

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Preliminaries If f(x) is periodic with period 2p and f’(x)…
SchwarzschildGeometry4
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The Schwarzschild Geometry: Part 4

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  In the last article, we looked at various counterintuitive…
SchwarzschildGeometry2
,

The Schwarzschild Geometry: Part 2

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  At the end of part 1, we looked at the form the…
SchwarzschildGeometry1
,

The Schwarzschild Geometry: Part 1

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  Not long after Einstein published his Field Equation,…
partial-differentiation
,

Partial Differentiation Without Tears

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Differentiation is usually taught quite well. Perhaps that's…
cubicfunction
,

Solving the Cubic Equation for Dummies

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Everybody learns the "quadratic formula" for solving equations…
rollingmotion
,

Explaining Rolling Motion

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Although rolling wheels are everywhere, when most people are…
entropy
,

Grandpa Chet's Entropy Recipe

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How do you determine the change in entropy for a closed system…
Schwarzschild
,

Orbital Precession in the Schwarzschild and Kerr Metrics

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The Schwarzschild Metric A Lagrangian that can be used to describe…
Precessionrelaitivity
,

Precession in Special and General Relativity

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The Absolute Derivative In relativity we typically deal with…
spacetimetetrad
,

Tetrad Fields and Spacetime

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A spacetime is often described in terms of a tetrad field, that…
omissionguage
,

Omissions in Mathematics Education: Gauge Integration

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The current (pure) mathematics curriculum at the university is…
, ,

Relativity on Rotated Graph Paper

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This Insight is a follow up to my earlier tutorial Insight (Spacetime…
Brachistochrone
,

General Brachistochrone Problem

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Consider a problem about the curve of fastest descent in the…
integralmisconceptions
,

Some Misconceptions on Indefinite Integrals

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Integration is an incredibly useful technique taught in all calculus…
basickinematics
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Basic Kinematics

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There is an interesting thing in teaching of Classical Mechanics.…
, ,

Spacetime Diagrams of Light Clocks

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We demonstrate a method for constructing spacetime diagrams for…
kinematics
,

Rare Kinematic Formula

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Here we present some useful kinematic fact which is uncommon…
angularvelocity
,

Elementary Construction of the Angular Velocity

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Physics books  seldom contain accurate definition of the angular…
irrationalnumbers
,

Irrationality for Dummies

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On one of my restless wanderings around the Internet, I came…
physics_vectors
,

Frequently Made Errors in Vectors - Elementary Use

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  A vector has magnitude and direction. Pictorially,…
lightcone7_3
,

LightCone7 Tutorial Part III - How Things are Computed

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In Part I and Part II of this mini-series, we have briefly discussed…
complexmath
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The Case for Learning Complex Math

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Resistance to complex math seems to never die out.  I see it…
complexexponents
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Complex and Irrational Exponents for the Layman

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This Insight is part of our "Young Authors" series, where talented…
lightcone72
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LightCone7Combo Tutorial Part II - Charts

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Part I dealt with the basic user interface of LightCone7Combo.…
Eigenvectors
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What Are Eigenvectors and Eigenvalues?

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Two important concepts in Linear Algebra are eigenvectors…
lightcone7
,

LightCone7Combo Tutorial Part I

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LightCone 7 Combo is a versatile tabulating/charting cosmological…
partialfractions
,

Partial Fractions Decomposition

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Partial fractions decomposition is an algebraic technique that can…
ODE2
,

Solving Nonhomogeneous Linear ODEs using Annihilators

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My previous Insights article, Solving Homogeneous Linear ODEs…
ODE1
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Solving Homogeneous Linear ODEs using Annihilators

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In this Insights article we'll look at a limited class of ordinary…