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Time Dilation in Special Relativity
This chapter provides an introduction of time dilation in special relativity. Topics include a thought experiment showing time dilation; calculation of time dilation factor (Lorentz Factor); reciprocity of time dilation; elapsed time of distant event. 2022-10-13, ∼293🔥, 0💬

Length Contraction Formula and Lorentz Factor
This section provides steps to derive the length contraction formula expressed with the Lorentz factor, based a thought experiment and the time dilation formula. 2022-10-05, ∼293🔥, 0💬

Lagrange Equation on Free Fall Motion
This section provides an example of applying the Lagrange Equation to an object in free fall motion. 2022-10-10, ∼277🔥, 0💬

Introduction of Time
This chapter provides an introduction of time. Topics include what is time; standard unit to measure duration of time; how long is one 'second'. 2022-10-05, ∼276🔥, 0💬

Time Dilation - Moving Clock Is Slower
This section provides a quick introduction on time dilation, a phenomenon of difference of elapsed time between two events as measured by observers in different inertial frames that are moving relative to each other. 2022-10-06, ∼267🔥, 0💬

Introduction of Frame of Reference
This chapter provides an introduction of frame of reference. Topics include what is frame of reference; what is coordinate system; examples of 1-dimensional, 2-dimensional and 3-dimensional frame of references; 1 frame of reference associated with 2 coordinate systems. 2022-10-10, ∼264🔥, 0💬

List of Various Speeds
This section lists various speeds to give us a sense of scale about speed. 2022-10-21, ∼262🔥, 0💬

Second Prefixes and Other Units
This section introduces prefixes used on 'second' to represent decadic multiples or fractions of a second. It also covers other standard units to measure durations like minute, hour, day and year. 2022-10-11, ∼259🔥, 0💬

Length Contraction - Moving Object Is Shorter
This section provides a quick introduction on length contraction, a phenomenon of difference of object lengths in the moving direction as measured by observers in different inertial frames that are moving relative to each other. 2022-10-06, ∼257🔥, 0💬

List of Various Durations
This section lists various durations to give us a sense of scale about time. 2022-12-26, ∼254🔥, 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, ∼254🔥, 0💬

Minkowski Spacetime and Diagrams
This chapter provides an introduction of Minkowski spacetime and diagram. Topics include introduction of Minkowski spacetime model; events interval; Lorentz transformation; Minkowski diagram; demonstration of time dilation and length contraction in Minkowski diagram. 2022-10-05, ∼251🔥, 0💬

Meter Prefixes and Other Units
This section introduces prefixes used on 'meter' to represent decadic multiples or fractions of a meter. It also covers other standard units to measure distances like foot, mile, nautical mile and lightyear. 2022-10-12, ∼246🔥, 0💬

Phase Portrait of Pendulum Motion
This section provides phase portrait examples for single object in simple pendulum motion. 2022-10-08, ∼245🔥, 0💬

What Is Phase Space
This section provides a quick introduction to Phase Space, which is the collection of all possible sets of canonical coordinates (q,p) of a system. 2022-10-31, ∼244🔥, 0💬

Hamiltonian on Simple Harmonic Motion
This section provides an example of calculating the Hamiltonian on a mechanical system of an single object in simple harmonic motion and applying the Law of Conservation of Energy. 2022-11-16, ∼240🔥, 0💬

Phase Space and Phase Portrait
This chapter provides an introduction of phase space and phase portrait. Topics include introduction of canonical coordinates of a system; trajectory curves of a system for a given period of time; phase portraits of free fall, simple harmonic, and pendulum motions; motion equations of linear systems... 2022-10-08, ∼239🔥, 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, ∼238🔥, 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, ∼237🔥, 0💬

Action - Functional of Position Function x(t)
This section describes the Action S as a functional of position function x(t). 2022-11-20, ∼233🔥, 0💬

Elapsed Time between Distant Events
This section provides a thought experiment to demonstrate that elapsed times between two events that happen at different locations in a moving frame may be observed as contracted or dilated from a stationary frame. 2022-11-07, ∼232🔥, 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, ∼224🔥, 0💬

What Is Phase Portrait
This section provides an introduction to Phase Portrait, which is the trajectory curve of a system in the the Phase Space for a given period of time. 2022-10-05, ∼223🔥, 0💬

Phase Portrait of Simple Harmonic Motion
This section provides phase portrait examples for a single object in simple harmonic motion. 2022-10-09, ∼221🔥, 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