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2-Dimensional Cartesian Coordinate System
This section provides an introduction of 2-dimensional Cartesian coordinate systems, which uses perpendicular projections on 2 perpendicular axes to describe any locations in the frame of reference. 2022-10-08, ∼354🔥, 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💬

What Is Space
This section provides a quick introduction of space, which is a property of our universe that gives us a sense of the size of an object and the distance between two objects. 2022-10-05, ∼350🔥, 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, ∼349🔥, 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, ∼347🔥, 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, ∼343🔥, 0💬

Poisson Bracket and Hamilton Equations
This section describes Hamilton Equations in terms of the Poisson brackets. 2024-12-14, ∼342🔥, 0💬

What Is Speed
This section provides a quick introduction of speed, which is a derived property of a moving object by calculating the distance the object has moved within a single unit of time. 2022-10-29, ∼342🔥, 0💬

What Is Coordinate System
This section provides an introduction of coordinate system, which is a mathematical model associated with a frame of reference that converts every location in the frame into set of numeric value or values. 2022-10-21, ∼340🔥, 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, ∼340🔥, 0💬

Assumptions of Special Relativity
This section describes the two assumptions for the special theory of relativity proposed by Albert Einstein in 1905. 2022-10-10, ∼339🔥, 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, ∼339🔥, 0💬

Poisson Bracket in Portrait Space Transformation
This section describes observables in phase space in terms of the Poisson brackets. 2024-12-14, ∼338🔥, 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, ∼338🔥, 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, ∼333🔥, 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, ∼332🔥, 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, ∼332🔥, 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, ∼331🔥, 0💬

Motion Equations of Linear Systems
This section provides a quick introduction of motion equations of linear systems, which are first order linear differential equations of the canonical coordinates. 2022-10-28, ∼331🔥, 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, ∼331🔥, 0💬

Observables in Phase Space
This section describes observables in phase space in terms of the Poisson brackets. 2024-12-14, ∼330🔥, 0💬

Relation of Momentum and Hamiltonian
This section describes the Relation of Momentum and Hamiltonian. 2022-10-05, ∼330🔥, 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, ∼320🔥, 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, ∼319🔥, 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