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…
complexexponents

Complex and Irrational Exponents for the Layman

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This Insight is part of our "Young Authors" series, where talented…
lightcone72

LightCone7Combo Tutorial Part II - Charts

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Part I dealt with the basic user interface of LightCone7Combo.…
Eigenvectors

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…
greenhouse

Frequently Made Errors in Climate Science - The Greenhouse Effect

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1.What is meant by "The Greenhouse Effect"? Many gases, such…
ODE2

Solving Nonhomogeneous Linear ODEs using Annihilators

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My previous Insights article, Solving Homogeneous Linear ODEs…
ODE1

Solving Homogeneous Linear ODEs using Annihilators

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

Matrix Representations of Linear Transformations

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Let X and Y be finite-dimensional vector spaces. Let ##T:X\to…
pythondebug2

Simple Python Debugging with Pdb: Part 2

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This Insight article is the continuation of the first article, Simple…
pythondebug1a

Simple Python Debugging with Pdb: Part 1

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I'm pretty new with Python, so I was looking around for some…
cardinalnumbers

Informal Introduction to Cardinal Numbers

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Cardinal numbers We will now give an informal introduction to…
999

Is There a Rigorous Proof Of 1 = 0.999...?

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Yes. First, we have not addressed what 0.999... actually means.…
blackholesforce

Centrifugal Force Reversal Near A Black Hole

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My goal in this article is to derive a simple equation for the…
birktheo

A Short Proof of Birkhoff's Theorem

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Birkhoff's theorem is a very useful result in General Relativity,…
heat errors

Frequently Made Errors in Heat - Elementary Level

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1. Heat, Work, Internal Energy and Kinetic Energy "If heat is…
Distributions

Frequently Made Errors in Probability - Continuous and Discrete Distributions

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1. Classifying as discrete, continuous or mixed These statements…
Coriolis

Frequently Made Errors - Pseudo and Resultant Forces

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  1. Real versus Fictitious Pseudo, or "fictitious",…
renormalization2

Why Renormalisation Needs a Cutoff

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This is a follow on from my paper explaining renormalisation.…
errors springs

Frequently Made Errors in Mechanics - Springs

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  1. Springs in Series "A spring of constant ##k_1##…
natural language errors

Frequently Made Errors in Probability - Conditionals in Natural Language

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  1. Turning a verbal condition into Algebra An actual…
impact errors

Frequently Made Errors in Mechanics - Momentum and Impacts

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    An impact is an impulse (change of momentum)…
hydrostatics

Frequently Made Errors in Mechanics - Hydrostatics

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  1. Archimedes' Principle X "When a body is placed…
variables

Conceptual Difficulties in the Roles of Variables

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1. Variables and Constants When is a constant not a constant? …
gausslaw

A Partial "Derivation" of Gauss's Law

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Gauss's law was formulated by Carl Friedrich Gauss in 1835. It…
error handling

Frequently Made Errors in Equation Handling

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  1. Algebra versus Arithmetic When numerical values…
kinematic errors

Frequently Made Errors in Mechanics - Kinematics

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    Kinematics is the subset of dynamics…
mistakes moments

Frequently Made Errors in Mechanics - Moments

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  The term "moment" is used in various ways in Physics…
renormalization

Renormalisation Made Easy

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What Is The Issue With Renormalisation If you have an interest…
electrical wire

Misconceiving Mutual Inductance Coefficients

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  A commonly used formula for mutual inductance M between…
friction

Frequently Made Errors in Mechanics - Friction

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  1. Direction of the normal Definition: The normal…