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Hamiltonian in Cartesian Coordinates
This section provides a quick introduction on Hamiltonian for a single object in Cartesian coordinates. 2022-10-05, ∼400🔥, 0💬

Formula for the Relativity of Simultaneity
This section provides a thought experiment to derive the formula for the relativity of simultaneity. 2022-10-04, ∼400🔥, 0💬

What Is Light Cone
This section provides a quick introduction of light cone, which is a 4-dimensional surface in a spacetime frame where all events on the surface can be connected to a central event by light. 2022-10-04, ∼397🔥, 0💬

Relation of Momentum and Potential Energy
This section describes the Relation of Momentum and Potential Energy. 2022-10-07, ∼391🔥, 0💬

List of Various Durations
This section lists various durations to give us a sense of scale about time. 2022-12-26, ∼386🔥, 0💬

Who Is Newton
This section provides a quick introduction of Issac Newton and his main contribution to physics, Newton's Laws of Motion. 2022-10-04, ∼386🔥, 0💬

Action - Integral of Lagrangian
This section provides an introduction of Action, the integral of Lagrangian of a given system between two time instances. 2022-10-30, ∼385🔥, 0💬

Phase Portrait of Simple Harmonic Motion
This section provides phase portrait examples for a single object in simple harmonic motion. 2022-10-09, ∼383🔥, 0💬

Introduction of Generalized Coordinates
This chapter provides an introduction of Generalized Coordinates. Topics include introduction of generalized position, velocity and momentum; Lagrange Equations and Hamilton Equations in generalized coordinates; Legendre Transformation. 2022-11-05, ∼382🔥, 0💬

Falling Ball in Elevator Frame of Reference
This section provides an example of a falling ball in the elevator frame of reference, where we need to add a fictitious force to cancel out the gravitational force to make Newton's First and Second Laws of Motion valid. 2022-10-07, ∼382🔥, 0💬

What Is Poisson Bracket
This section provides a quick introduction to Poisson Bracket, which is an operation of two functions on the phase space (q,p) of a system. 2024-12-14, ∼381🔥, 0💬

Moving Frames and Galilean Transformation
This section provides a quick introduction of the Galilean transformation between two frames that are move relative to each other. 2022-10-16, ∼377🔥, 0💬

Hamilton's Principle - Stationary Action
This section provides an introduction of Action, an integral of Lagrangian function of a given system between two time instances. 2022-11-30, ∼376🔥, 0💬

What Is Spacetime
This section provides a quick introduction of speed, which is a mathematical model used to describe our universe in frame of references that combines space and time together. 2022-10-04, ∼375🔥, 0💬

Demonstration of Time Dilation - Formula
This section continues the thought experiment to demonstrate time dilation. An isosceles triangle is used to derive the time dilation formula with Lorentz factor. 2022-10-05, ∼372🔥, 0💬

Newton's First Law of Motion
This section introduces Newton's First Law of Motion - If the net force acting on an object is zero, then the velocity of the object is constant. 2022-10-05, ∼372🔥, 0💬

Introduction of Speed
This chapter provides an introduction of speed. Topics include definition of speed; dependency of speed on frame of reference; measuring speed of light. 2022-10-04, ∼370🔥, 0💬

What Is Distance
This section introduces distance between two objects. The standard unit of distance is called 'meter', which is the length travelled by light in 1/299,792,458 of a second. 2022-10-05, ∼369🔥, 0💬

Length Contraction in Special Relativity
This chapter provides an introduction of length contraction in special relativity. Topics include a thought experiment showing length contraction; deriving length contraction formula; reciprocity of length contraction. 2022-10-09, ∼368🔥, 0💬

Demonstration of Time Dilation - Bob on the Ground
This section continues the thought experiment to demonstrate time dilation with Bob observing the same bouncing light pulse clock installed on a moving train from a stationary frame. 2022-10-06, ∼368🔥, 0💬

Introduction of Lagrangian
This chapter provides an introduction of Lagrangian Mechanics. Topics include introduction of Lagrangian; Action, Hamilton Principle, Stationary Action, Lagrange Equations, examples of free fall motion; simple harmonic motion, simple pendulum motion. 2022-10-20, ∼362🔥, 0💬

Lagrangian in Cartesian Coordinates
This section provides a quick introduction to the Lagrangian in Cartesian coordinates, expressed in terms of r, r' and t. 2022-12-08, ∼359🔥, 0💬

Newton's Laws of Motion
This chapter provides an introduction of Newton's Laws of Motion. Topics include Newton's First, Second and Third Laws of Motion; dependency on frame of reference; the gravitational force; the fictitious force. 2022-11-07, ∼355🔥, 0💬

What Is an Inertial Frame of Reference
This section describes an inertial frame of reference - a frame of reference in which no acceleration can be detected in any direction. 2022-10-04, ∼353🔥, 0💬

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Android ASP Astrology Big5 Bitcoin Blowfish Built-in C# Calendar CD-DVD Cheminformatics Chinese Cryptography DES Email Encoding Ethereum Flash GB2312 General H Herong History HTML Java JavaScript JDBC JSP JVM Linux Molecule Movie Music MySQL Neural Network Perl PHP Physics PKI Publication Python REST SOAP Sorting Swing TV Series UML Unicode VBScript Web Web-Services Windows WSDL XML XMLPad XSD XSL-FO