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Linearity

Index Linearity

Linearity is the property of a mathematical relationship or function which means that it can be graphically represented as a straight line. [1]

104 relations: Absolute threshold, Additive map, Affine transformation, Albrecht Dürer, American Mathematical Society, Analog-to-digital converter, Audio power amplifier, Baroque, Bilinear, Boolean algebra, Breech-loading weapon, Chaos theory, Contradiction, Del, Dependent and independent variables, Derivative, Diego Velázquez, Differential equation, Differential operator, Diffusion equation, Digital art, Digital-to-analog converter, Electric current, Electrical element, Electronics, Exclusive or, Full scale, Gradient, Graduate Studies in Mathematics, Graph of a function, Heinrich Wölfflin, High fidelity, Homogeneous function, Hypertext fiction, If and only if, Interval (music), James Stewart (mathematician), Laplace operator, Latin, Leonardo da Vinci, Line (geometry), Linear A, Linear actuator, Linear algebra, Linear amplifier, Linear B, Linear combination, Linear differential equation, Linear equation, Linear filter, ..., Linear function, Linear interpolation, Linear map, Linear medium, Linear motor, Linear programming, Linear regulator, Linear system, Logical biconditional, Mass, Mathematical induction, Mathematician, Mathematics, Maxwell's equations, Melody, Military organization, Multilinear map, Multimeter, Negation, Nonlinear narrative, Nonlinear system, Ohm's law, Operator (mathematics), Painterliness, Peter Paul Rubens, Physicist, Physics, Pike (weapon), Polynomial, Potentiometer, Proportionality (mathematics), Raphael, Rational number, Real number, Rembrandt, Renaissance art, Resistor, Rifle, Science, Shape, Simultaneity (music), Skirmisher, Slope, Tautology (logic), Technology, The Thin Red Line (Battle of Balaclava), Transfer function, Transistor, Truth table, Truth value, Vector space, Voltage, Weight, Y-intercept. Expand index (54 more) »

Absolute threshold

In neuroscience and psychophysics, an absolute threshold was originally defined as the lowest level of a stimulus – light, sound, touch, etc.

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Additive map

In algebra an additive map, Z-linear map or additive function is a function that preserves the addition operation: for every pair of elements and in the domain.

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Affine transformation

In geometry, an affine transformation, affine mapBerger, Marcel (1987), p. 38.

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Albrecht Dürer

Albrecht Dürer (21 May 1471 – 6 April 1528)Müller, Peter O. (1993) Substantiv-Derivation in Den Schriften Albrecht Dürers, Walter de Gruyter.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Analog-to-digital converter

In electronics, an analog-to-digital converter (ADC, A/D, or A-to-D) is a system that converts an analog signal, such as a sound picked up by a microphone or light entering a digital camera, into a digital signal.

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Audio power amplifier

An audio power amplifier (or power amp) is an electronic amplifier that reproduces low-power electronic audio signals such as the signal from radio receiver or electric guitar pickup at a level that is strong enough for driving (or powering) loudspeakers or headphones.

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Baroque

The Baroque is a highly ornate and often extravagant style of architecture, art and music that flourished in Europe from the early 17th until the late 18th century.

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Bilinear

Bilinear may refer to.

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Boolean algebra

In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.

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Breech-loading weapon

A breech-loading gun is a firearm in which the cartridge or shell is inserted or loaded into a chamber integral to the rear portion of a barrel.

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Chaos theory

Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.

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Contradiction

In classical logic, a contradiction consists of a logical incompatibility between two or more propositions.

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Del

Del, or nabla, is an operator used in mathematics, in particular in vector calculus, as a vector differential operator, usually represented by the nabla symbol ∇.

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Dependent and independent variables

In mathematical modeling, statistical modeling and experimental sciences, the values of dependent variables depend on the values of independent variables.

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Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

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Diego Velázquez

Diego Rodríguez de Silva y Velázquez (baptized on June 6, 1599August 6, 1660) was a Spanish painter, the leading artist in the court of King Philip IV, and one of the most important painters of the Spanish Golden Age.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Differential operator

In mathematics, a differential operator is an operator defined as a function of the differentiation operator.

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Diffusion equation

The diffusion equation is a partial differential equation.

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Digital art

Digital art is an artistic work or practice that uses digital technology as an essential part of the creative or presentation process.

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Digital-to-analog converter

In electronics, a digital-to-analog converter (DAC, D/A, D2A, or D-to-A) is a system that converts a digital signal into an analog signal.

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Electric current

An electric current is a flow of electric charge.

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Electrical element

Electrical elements are conceptual abstractions representing idealized electrical components, such as resistors, capacitors, and inductors, used in the analysis of electrical networks.

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Electronics

Electronics is the discipline dealing with the development and application of devices and systems involving the flow of electrons in a vacuum, in gaseous media, and in semiconductors.

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Exclusive or

Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ (one is true, the other is false).

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Full scale

In electronics and signal processing, full scale or full code represents the maximum amplitude a system can present.

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Gradient

In mathematics, the gradient is a multi-variable generalization of the derivative.

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Graduate Studies in Mathematics

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS).

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Graph of a function

In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.

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Heinrich Wölfflin

Heinrich Wölfflin (21 June 1864, Winterthur – 19 July 1945, Zurich) was a Swiss art historian, whose objective classifying principles ("painterly" vs. "linear" and the like) were influential in the development of formal analysis in art history in the early 20th century.

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High fidelity

High fidelity (often shortened to hi-fi or hifi) is a term used by listeners, audiophiles and home audio enthusiasts to refer to high-quality reproduction of sound.

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Homogeneous function

In mathematics, a homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is multiplied by some power of this factor.

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Hypertext fiction

Hypertext fiction is a genre of electronic literature, characterized by the use of hypertext links that provide a new context for non-linearity in literature and reader interaction.

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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Interval (music)

In music theory, an interval is the difference between two pitches.

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James Stewart (mathematician)

James Drewry Stewart, (March 29, 1941December 3, 2014) was a Canadian mathematician, violinist, and professor emeritus of mathematics at McMaster University.

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Laplace operator

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.

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Latin

Latin (Latin: lingua latīna) is a classical language belonging to the Italic branch of the Indo-European languages.

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Leonardo da Vinci

Leonardo di ser Piero da Vinci (15 April 14522 May 1519), more commonly Leonardo da Vinci or simply Leonardo, was an Italian polymath of the Renaissance, whose areas of interest included invention, painting, sculpting, architecture, science, music, mathematics, engineering, literature, anatomy, geology, astronomy, botany, writing, history, and cartography.

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Line (geometry)

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.

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Linear A

Linear A is one of two currently undeciphered writing systems used in ancient Greece (Cretan hieroglyphic is the other).

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Linear actuator

A linear actuator is an actuator that creates motion in a straight line, in contrast to the circular motion of a conventional electric motor.

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Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

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Linear amplifier

A linear amplifier is an electronic circuit whose output is proportional to its input, but capable of delivering more power into a load.

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Linear B

Linear B is a syllabic script that was used for writing Mycenaean Greek, the earliest attested form of Greek.

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Linear combination

In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).

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Linear differential equation

In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where,..., and are arbitrary differentiable functions that do not need to be linear, and are the successive derivatives of an unknown function of the variable.

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Linear equation

In mathematics, a linear equation is an equation that may be put in the form where x_1, \ldots, x_n are the variables or unknowns, and c, a_1, \ldots, a_n are coefficients, which are often real numbers, but may be parameters, or even any expression that does not contain the unknowns.

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Linear filter

Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity.

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Linear function

In mathematics, the term linear function refers to two distinct but related notions.

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Linear interpolation

In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.

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Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

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Linear medium

A linear medium is any medium which is intended to be written to or accessed in a linear fashion, literally meaning in a line.

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Linear motor

A linear motor is an electric motor that has had its stator and rotor "unrolled" so that instead of producing a torque (rotation) it produces a linear force along its length.

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Linear programming

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

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Linear regulator

In electronics, a linear regulator is a system used to maintain a steady voltage.

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Linear system

A linear system is a mathematical model of a system based on the use of a linear operator.

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Logical biconditional

In logic and mathematics, the logical biconditional (sometimes known as the material biconditional) is the logical connective of two statements asserting "P if and only if Q", where P is an antecedent and Q is a consequent.

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Mass

Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.

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Mathematical induction

Mathematical induction is a mathematical proof technique.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Maxwell's equations

Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.

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Melody

A melody (from Greek μελῳδία, melōidía, "singing, chanting"), also tune, voice, or line, is a linear succession of musical tones that the listener perceives as a single entity.

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Military organization

Military organization or military organisation is the structuring of the armed forces of a state so as to offer military capability required by the national defense policy.

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Multilinear map

In linear algebra, a multilinear map is a function of several variables that is linear separately in each variable.

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Multimeter

A multimeter or a multitester, also known as a VOM (volt-ohm-milliammeter), is an electronic measuring instrument that combines several measurement functions in one unit.

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Negation

In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬P), which is interpreted intuitively as being true when P is false, and false when P is true.

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Nonlinear narrative

Nonlinear narrative, disjointed narrative or disrupted narrative is a narrative technique, sometimes used in literature, film, hypertext websites and other narratives, where events are portrayed, for example, out of chronological order or in other ways where the narrative does not follow the direct causality pattern of the events featured, such as parallel distinctive plot lines, dream immersions or narrating another story inside the main plot-line.

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Nonlinear system

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.

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Ohm's law

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

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Operator (mathematics)

In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.

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Painterliness

Painterliness is a concept based on the German term malerisch (painterly), a word popularized by Swiss art historian Heinrich Wölfflin (1864–1945) to help focus, enrich and standardize the terms being used by art historians of his time to characterize works of art.

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Peter Paul Rubens

Sir Peter Paul Rubens (28 June 1577 – 30 May 1640) was a Flemish artist.

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Physicist

A physicist is a scientist who has specialized knowledge in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

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Pike (weapon)

A pike is a pole weapon, a very long thrusting spear formerly used extensively by infantry.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Potentiometer

A potentiometer is a three-terminal resistor with a sliding or rotating contact that forms an adjustable voltage divider.

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Proportionality (mathematics)

In mathematics, two variables are proportional if there is always a constant ratio between them.

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Raphael

Raffaello Sanzio da Urbino (March 28 or April 6, 1483April 6, 1520), known as Raphael, was an Italian painter and architect of the High Renaissance.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Rembrandt

Rembrandt Harmenszoon van Rijn (15 July 1606 – 4 October 1669) was a Dutch draughtsman, painter, and printmaker.

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Renaissance art

Contributions to painting and architecture have been especially rich.

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Resistor

A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element.

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Rifle

A rifle is a portable long-barrelled firearm designed for precision shooting, to be held with both hands and braced against the shoulder for stability during firing, and with a barrel that has a helical pattern of grooves ("rifling") cut into the bore walls.

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Science

R. P. Feynman, The Feynman Lectures on Physics, Vol.1, Chaps.1,2,&3.

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Shape

A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture or material composition.

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Simultaneity (music)

In music, a simultaneity is more than one complete musical texture occurring at the same time, rather than in succession.

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Skirmisher

Skirmishers are light infantry or cavalry soldiers in the role of skirmishing—stationed to act as a vanguard, flank guard, or rearguard, screening a tactical position or a larger body of friendly troops from enemy advances.

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Slope

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

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Tautology (logic)

In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation.

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Technology

Technology ("science of craft", from Greek τέχνη, techne, "art, skill, cunning of hand"; and -λογία, -logia) is first robustly defined by Jacob Bigelow in 1829 as: "...principles, processes, and nomenclatures of the more conspicuous arts, particularly those which involve applications of science, and which may be considered useful, by promoting the benefit of society, together with the emolument of those who pursue them".

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The Thin Red Line (Battle of Balaclava)

The Thin Red Line was a military action by the British Sutherland Highlanders 93rd (Highland) Regiment at the Battle of Balaklava on 25 October 1854, during the Crimean War.

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Transfer function

In engineering, a transfer function (also known as system function or network function) of an electronic or control system component is a mathematical function giving the corresponding output value for each possible value of the input to the device.

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Transistor

A transistor is a semiconductor device used to amplify or switch electronic signals and electrical power.

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Truth table

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (Enderton, 2001).

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Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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Voltage

Voltage, electric potential difference, electric pressure or electric tension (formally denoted or, but more often simply as V or U, for instance in the context of Ohm's or Kirchhoff's circuit laws) is the difference in electric potential between two points.

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Weight

In science and engineering, the weight of an object is related to the amount of force acting on the object, either due to gravity or to a reaction force that holds it in place.

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Y-intercept

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.

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Redirects here:

Linear, Linear/Proof, Linearly.

References

[1] https://en.wikipedia.org/wiki/Linearity

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