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Angular Momentum
In , angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of . It is an important quantity in physics because it is a —the total angular momentum of a closed system remains constant. In three , the angular momentum for a is a , the of the particle's r (relative to some origin) and its ; the latter is in Newtonian mechanics. This definition can be applied to each point in like solids or fluids, or . Unlike momentum, angular momentum does depend on where the origin is chosen, since the particle's position is measured from it. Just like for , there are two special types of angular momentum: the spin angular momentum and orbital angular momentum. The spin angular momentum of an object is defined as the angular momentum about its coordinate. The orbital angular momentum of an object about a chosen origin is defined as the angular momentum of the centre of mass about the origin. The total angular momentum of an object is the sum of ...
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Gyroscope
A gyroscope (from Ancient Greek Ancient Greek includes the forms of the Greek language Greek ( el, label=Modern Greek Modern Greek (, , or , ''Kiní Neoellinikí Glóssa''), generally referred to by speakers simply as Greek (, ), refers collectively to the diale ... γῦρος ''gûros'', "circle" and σκοπέω ''skopéō'', "to look") is a device used for measuring or maintaining orientation Orientation may refer to: Positioning in physical space * Map orientation, the relationship between directions on a map and compass directions * Orientation (housing), the position of a building with respect to the sun, a concept in building design ... and angular velocity In physics Physics is the natural science that studies matter, its Elementary particle, fundamental constituents, its Motion (physics), motion and behavior through Spacetime, space and time, and the related entities of energy and force. .... It is a spinning wheel or disc in which the ...
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Figure Skater
Figure skating is a sport in which individuals, pairs, or groups perform on figure skate Figure skates are a type of ice skate Ice skates are metal blades attached underfoot and used to propel the bearer across a sheet of ice while ice skating. The first ice skates were made from leg bones of horse, ox or deer, and were attached to ...s on ice. It was the first winter sport to be included in the Olympic Games The modern Olympic Games or Olympics (french: Jeux olympiques) are leading international sporting events featuring summer and winter sports competitions in which thousands of from around the world participate in a . The Olympic Games are c ..., when contested at the 1908 Olympics The 1908 Summer Olympics, officially the Games of the IV Olympiad, and commonly known as London 1908, was an international International is an adjective (also used as a noun) meaning "between nations". International may also refer to: Music Al ... in London. The Olympic discipli ...
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Moment Of Inertia
The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body In physics Physics is the natural science that studies matter, its Elementary particle, fundamental constituents, its Motion (physics), motion and behavior through Spacetime, space and time, and the related entities of energy and force. " ... is a quantity that determines the torque In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. The concept originated with the studies ... needed for a desired angular acceleration In physics Physics (from grc, φυσική (ἐπιστήμη), physikḗ (epistḗmē), knowledge of nature, from ''phýsis'' 'nature'), , is the natural science that studies matter, its Motion (physics), motion and behavio ...
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Euclidean Vector
In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (cal ..., physics Physics is the that studies , its , its and behavior through , and the related entities of and . "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of eve ... and engineering Engineering is the use of scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings. The discipline of engineering encompasses a broad range of more specializ ..., a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude Magnitude may refer to: Mathematics *Euclidean vector ...
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Vector Projection
The vector projection of a vector a on (or onto) a nonzero vector b, sometimes denoted \operatorname_\mathbf \mathbf (also known as the vector component or vector resolution of a in the direction of b), is the orthogonal projection In linear algebra and functional analysis Image:Drum vibration mode12.gif, 200px, One of the possible modes of vibration of an idealized circular drum head. These modes are eigenfunctions of a linear operator on a function space, a common const ... of a onto a straight line In geometry, the notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature In mathematics Mathematics (from Greek: ) includes the study of such topics as numbe ... parallel to b. It is a vector parallel to b, defined as: : \mathbf_1 = a_1\mathbf\, where a_1 is a scalar, called the scalar projection of a onto b, and b̂ is the unit vector In mathematics Mathematics (from Greek: ...
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Heisenberg Uncertainty Principle
In quantum mechanics Quantum mechanics is a fundamental theory A theory is a reason, rational type of abstraction, abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking is often associated with ..., the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the accuracy with which the values for certain pairs of physical quantities of a particle In the Outline of physical science, physical sciences, a particle (or corpuscule in older texts) is a small wikt:local, localized physical body, object to which can be ascribed several physical property, physical or chemical property, chemical p ..., such as position, ''x'', and momentum In Newtonian mechanics, linear momentum, translational momentum, or simply momentum is the product of the mass Mass is the quantity Quantity is a property ...
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Point Spectrum
In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (cal ..., particularly in functional analysis Functional analysis is a branch of mathematical analysis Analysis is the branch of mathematics dealing with Limit (mathematics), limits and related theories, such as Derivative, differentiation, Integral, integration, Measure (mathematics), ..., the spectrum of a bounded linear operator In functional analysis Image:Drum vibration mode12.gif, 200px, One of the possible modes of vibration of an idealized circular drum head. These modes are eigenfunctions of a linear operator on a function space, a common construction in functional a ... (or, more generally, an unbounded linear operator) is a generalisation of the set of eigenvalue In linear algebra, an eigenvector () or ...
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In Quantum Mechanics
IN, In or in may refer to: Places * India (country code IN) * Indiana, United States (postal code IN) * Ingolstadt, Germany (license plate code IN) Businesses and organizations * Independent Network, a UK-based political association * Indiana Northeastern Railroad (Association of American Railroads reporting mark) * Indian Navy, a part of the India military * Infantry, the branch of a military force that fights on foot * MAT Macedonian Airlines (IATA designator IN) Science and technology * .in, the internet top-level domain of India * Inch (in), a unit of length * Indium (symbol In), a chemical element with atomic number 49 * Intelligent Network, a telecommunication network standard * Intra-nasal (Insufflation (medicine), insufflation), a method of administrating some medications and vaccines * Integrase, a retroviral enzyme Other uses * In (album), ''In'' (album), by the Outsiders, 1967 * In (Korean name), a family name and an element in given names * "In", an List of Minder ...
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Angular Momentum Operator
In quantum mechanics, the angular momentum operator is one of several related operator (physics), operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic and molecular physics and other quantum problems involving rotational symmetry. Such an operator is applied to a mathematical representation of the physical state of a system and yields an angular momentum value if the state has a definite value for it. In both classical and quantum mechanical systems, angular momentum (together with linear momentum and energy) is one of the three fundamental properties of motion.Introductory Quantum Mechanics, Richard L. Liboff, 2nd Edition, There are several angular momentum operators: total angular momentum (usually denoted J), orbital angular momentum (usually denoted L), and spin angular momentum (spin for short, usually denoted S). The term ''angular momentum operator'' can (confusingly) refer to either the total or the o ...
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Operator (physics)
In physics, an operator is a function Function or functionality may refer to: Computing * Function key A function key is a key on a computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations automatically. Modern comp ... over a space Space is the boundless three-dimensional Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameter A parameter (from the Ancient Greek language, Ancient Gre ... of physical states onto In , a surjective function (also known as surjection, or onto function) is a that maps an element to every element ; that is, for every , there is an such that . In other words, every element of the function's is the of one element of its ... another space of physical states. The simplest example of the utility of operators is the study of symmetry Symmetry (from Greek#REDIRECT Greek Greek may ...
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Quantum Mechanics
Quantum mechanics is a fundamental theory A theory is a reason, rational type of abstraction, abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking is often associated with such processes as observational study or research ... in physics Physics is the that studies , its , its and behavior through , and the related entities of and . "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of eve ... that provides a description of the physical properties of nature Nature, in the broadest sense, is the natural, physical, material world or universe The universe ( la, universus) is all of space and time and their contents, including planets, stars, galaxy, galaxies, and all other forms of matter an ... at the scale of atom An atom is the smallest unit of ordinary matter In classical physics and general ...
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