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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, ∼159🔥, 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, ∼159🔥, 0💬

Introduction of Spacetime
This chapter provides an introduction of spacetime. Topics include definition of spacetime; world line of an object in a spacetime frame; light cone of an event in a spacetime frame. 2022-11-05, ∼158🔥, 0💬

Introduction of Special Relativity
This chapter provides an introduction of the special theory of relativity. Topics include 2 assumptions of special relativity; inertial frame of references; the principle of relativity; constancy of speed of light. 2022-10-08, ∼158🔥, 0💬

3-Dimensional Cartesian Coordinate System
This section provides an introduction of 3-dimensional Cartesian coordinate systems, which uses perpendicular projections on 3 perpendicular axes to describe any locations in the frame of reference. 2022-10-07, ∼158🔥, 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, ∼157🔥, 0💬

List of Various Distances and Lengths
This section lists various distances and lengths to give us a sense of scale about space. 2022-11-05, ∼156🔥, 0💬

Different Speeds Observed in Different Frames
This section describes the dependency of speed on the frame of reference. selecting different frames of reference will result different speeds of the same moving object. 2022-10-08, ∼155🔥, 0💬

Frame of Reference with 2 Objects
This section provides an example of a frame of reference with 2 objects, where locations of other objects are described based where they are located on the line that connects the 2 reference objects. 2022-10-11, ∼154🔥, 0💬

What Is the Relativity of Simultaneity
This section provides a quick introduction on the relativity of simultaneity, a phenomenon where two events happening in two different locations that occur simultaneously in one reference frame, occur non-simultaneously in another reference frame that is relatively moving. 2022-10-09, ∼153🔥, 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, ∼153🔥, 0💬

1 Frame of Reference with 2 Coordinate Systems
This section provides an example of a frame of reference associated with 2 coordinate systems. The location of an object can be described as 2 sets of coordinates. 2022-10-18, ∼152🔥, 0💬

What Is Hamiltonian
This section provides a quick introduction to the Hamiltonian, which is a derived property of a mechanical system defined as the total energy, the sum of kinetic energy and potential energy of the system. 2022-10-08, ∼151🔥, 0💬

What Is Time
This section provides a quick introduction of time, which is a property of our universe that gives us a sense of age of living things and speed of changing object. 2022-10-13, ∼150🔥, 0💬

Lagrange Equation on Simple Harmonic Motion
This section provides a quick introduction to the Hamiltonian function, the total energy of the system, which is the sum of kinetic energy and potential energy of the system. 2022-11-06, ∼149🔥, 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, ∼148🔥, 0💬

What Is Duration
This section introduces duration between two events. The standard unit of duration is called 'second', which is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom. 2022-10-04, ∼148🔥, 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, ∼145🔥, 0💬

What Is Frame of Reference
This section provides a quick introduction of frame of reference, which is a given object or objects we use as a reference to describe locations of other objects in the space. 2022-10-23, ∼145🔥, 0💬

Other Proofs of the Lagrange Equation
This section provides two other proofs to show that the Lagrange Equation is equivalent to the Hamilton Principle. 2022-10-21, ∼145🔥, 0💬

The Principle of Relativity
This section provides an example of law of physics, Newton's First Law of Motion, to help understanding the first assumption of the special theory of relativity: The Principle of Relativity. 2022-10-19, ∼145🔥, 0💬

Poisson Bracket in Portrait Space Transformation
This section describes observables in phase space in terms of the Poisson brackets. 2024-12-14, ∼142🔥, 0💬

Hamilton Equations in Cartesian Coordinates
This section provides a quick introduction to the Hamilton Equations in Cartesian Coordinates, partial derivative equations on the Hamiltonian function against position r and momentum p for an isolated conservative system. 2022-11-20, ∼142🔥, 0💬

What Is Lagrange Equation
This section describes the Lagrange Equation states that the time derivative of the partial derivative Lagrangian against velocity equals to the partial derivative Lagrangian against position. A proof is provided to show that the Lagrange Equation is equivalent to the Hamilton Principle. 2022-11-11, ∼140🔥, 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 Reference REST SOAP Sorting Swing TV Series UML Unicode VBScript Web Web-Services Windows WSDL XML XMLPad XSD XSL-FO