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Polar coordinate system

Index Polar coordinate system

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. [1]

126 relations: Acta Eruditorum, Air traffic control, Aircraft, Alexis Clairaut, Algebraic curve, Ancient Greek astronomy, Angle, Anno Domini, Antenna (radio), Antipodal point, Archimedean spiral, Archimedes, Argument (complex analysis), Astrology, Atan2, Azimuth, Blaise Pascal, Bonaventura Cavalieri, Calculus, Cardioid, Cartesian coordinate system, Central force, Chord (geometry), Circular motion, Circular sector, Clockwise, Complex number, Complex plane, Conic section, Coordinate system, Curvilinear coordinates, Cylindrical coordinate system, De Moivre's formula, Degree (angle), Derivative, Dimension, Distance, Division (mathematics), E (mathematical constant), Eccentricity (mathematics), Ellipse, English language, Euler's formula, Exponentiation, Function (mathematics), Gaussian integral, George Peacock, Graph of a function, Gravity, Grégoire de Saint-Vincent, ..., Great circle, Green's theorem, Gregorio Fontana, Groundwater flow equation, Harvard University, Hipparchus, Hyperbola, Imaginary unit, Integer, International Organization for Standardization, Interval (mathematics), Inverse trigonometric functions, Inverse-square law, Isaac Newton, ISO 31-11, Jacob Bernoulli, Jacobian matrix and determinant, Julian Coolidge, Latitude, Lemniscate of Bernoulli, Leonhard Euler, Limaçon, Line (geometry), Linkage (mechanical), List of common coordinate transformations, Log-polar coordinates, Longitude, Map projection, Mathematics, Mecca, Method of Fluxions, Microphone, Multiplication, NATO phonetic alphabet, Navigation, Norm (mathematics), North Magnetic Pole, On Spirals, Orbit, Osculating circle, Parabola, Parametric equation, Parity (mathematics), Perpendicular, Phi, Physics, Pi, Plane (geometry), Planimeter, Point (geometry), Point source, Polar decomposition, Principal value, Pythagorean theorem, Qibla, Radian, Radius of curvature, Rho, Riemann sum, Rose (mathematics), Rotational symmetry, Semi-major and semi-minor axes, Sign (mathematics), Slope, Spherical coordinate system, Spherical trigonometry, Surveying, Sylvestre François Lacroix, Symmetry, Symmetry in biology, Theta, Total derivative, Trigonometric functions, Turn (geometry), Variable (mathematics), Vector calculus. Expand index (76 more) »

Acta Eruditorum

Acta Eruditorum (Latin for "reports/acts of the scholars") was the first scientific journal of the German lands, published from 1682 to 1782.

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Air traffic control

Air traffic control (ATC) is a service provided by ground-based air traffic controllers who direct aircraft on the ground and through controlled airspace, and can provide advisory services to aircraft in non-controlled airspace.

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Aircraft

An aircraft is a machine that is able to fly by gaining support from the air.

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Alexis Clairaut

Alexis Claude Clairaut (13 May 1713 – 17 May 1765) was a French mathematician, astronomer, and geophysicist.

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Algebraic curve

In mathematics, a plane real algebraic curve is the set of points on the Euclidean plane whose coordinates are zeros of some polynomial in two variables.

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Ancient Greek astronomy

Greek astronomy is astronomy written in the Greek language in classical antiquity.

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Angle

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

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Anno Domini

The terms anno Domini (AD) and before Christ (BC) are used to label or number years in the Julian and Gregorian calendars.

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Antenna (radio)

In radio, an antenna is the interface between radio waves propagating through space and electric currents moving in metal conductors, used with a transmitter or receiver.

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Antipodal point

In mathematics, the antipodal point of a point on the surface of a sphere is the point which is diametrically opposite to it — so situated that a line drawn from the one to the other passes through the center of the sphere and forms a true diameter.

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Archimedean spiral

The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd century BC Greek mathematician Archimedes.

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Archimedes

Archimedes of Syracuse (Ἀρχιμήδης) was a Greek mathematician, physicist, engineer, inventor, and astronomer.

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Argument (complex analysis)

In mathematics, the argument is a multi-valued function operating on the nonzero complex numbers.

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Astrology

Astrology is the study of the movements and relative positions of celestial objects as a means for divining information about human affairs and terrestrial events.

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Atan2

The function \operatorname (y,x) or \operatorname (y,x) is defined as the angle in the Euclidean plane, given in rad, between the positive x-axis and the ray to the Points in the upper half-plane deliver values in points with.

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Azimuth

An azimuth (from the pl. form of the Arabic noun "السَّمْت" as-samt, meaning "the direction") is an angular measurement in a spherical coordinate system.

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Blaise Pascal

Blaise Pascal (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer and Catholic theologian.

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Bonaventura Cavalieri

Bonaventura Francesco Cavalieri (Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Cardioid

A cardioid (from the Greek καρδία "heart") is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.

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Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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Central force

In classical mechanics, a central force on an object is a force that is directed along the line joining the object and the origin: where \scriptstyle \vec is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and \scriptstyle \hat.

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Chord (geometry)

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

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Circular motion

In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path.

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Circular sector

A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

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Clockwise

Two-dimensional rotation can occur in two possible directions.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Complex plane

In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.

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Conic section

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.

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Coordinate system

In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

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Curvilinear coordinates

In geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved.

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Cylindrical coordinate system

A cylindrical coordinate system is a three-dimensional coordinate system that specifies point positions by the distance from a chosen reference axis, the direction from the axis relative to a chosen reference direction, and the distance from a chosen reference plane perpendicular to the axis.

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De Moivre's formula

In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity), named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) and integer it holds that where is the imaginary unit.

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Degree (angle)

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.

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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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Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

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Distance

Distance is a numerical measurement of how far apart objects are.

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Division (mathematics)

Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication.

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E (mathematical constant)

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.

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Eccentricity (mathematics)

In mathematics, the eccentricity, denoted e or \varepsilon, is a parameter associated with every conic section.

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Ellipse

In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.

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English language

English is a West Germanic language that was first spoken in early medieval England and is now a global lingua franca.

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Euler's formula

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

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Exponentiation

Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

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Gaussian integral

The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function e−x2 over the entire real line.

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George Peacock

George Peacock FRS (9 April 1791 – 8 November 1858) was an English mathematician.

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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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Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

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Grégoire de Saint-Vincent

Grégoire de Saint-Vincent (22 March 1584 Bruges – 5 June 1667 Ghent) was a Flemish Jesuit and mathematician.

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Great circle

A great circle, also known as an orthodrome, of a sphere is the intersection of the sphere and a plane that passes through the center point of the sphere.

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Green's theorem

In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C. It is named after George Green, though its first proof is due to Bernhard Riemann and is the two-dimensional special case of the more general Kelvin–Stokes theorem.

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Gregorio Fontana

Gregorio Fontana (7 December 1735 – 24 August 1803) was an Italian mathematician.

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Groundwater flow equation

Used in hydrogeology, the groundwater flow equation is the mathematical relationship which is used to describe the flow of groundwater through an aquifer.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Hipparchus

Hipparchus of Nicaea (Ἵππαρχος, Hipparkhos) was a Greek astronomer, geographer, and mathematician.

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Hyperbola

In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

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Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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International Organization for Standardization

The International Organization for Standardization (ISO) is an international standard-setting body composed of representatives from various national standards organizations.

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Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

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Inverse trigonometric functions

In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).

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Inverse-square law

The inverse-square law, in physics, is any physical law stating that a specified physical quantity or intensity is inversely proportional to the square of the distance from the source of that physical quantity.

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Isaac Newton

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.

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ISO 31-11

ISO 31-11:1992 was the part of international standard ISO 31 that defines mathematical signs and symbols for use in physical sciences and technology.

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Jacob Bernoulli

Jacob Bernoulli (also known as James or Jacques; – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family.

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Jacobian matrix and determinant

In vector calculus, the Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function.

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Julian Coolidge

Julian Lowell Coolidge (September 28, 1873 – March 5, 1954) was an American mathematician and a professor and chairman of the Harvard University Mathematics Department.

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Latitude

In geography, latitude is a geographic coordinate that specifies the north–south position of a point on the Earth's surface.

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Lemniscate of Bernoulli

In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2a from each other as the locus of points P so that PF1·PF2.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Limaçon

In geometry, a limaçon or limacon, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

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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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Linkage (mechanical)

A mechanical linkage is an assembly of bodies connected to manage forces and movement.

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List of common coordinate transformations

This is a list of some of the most commonly used coordinate transformations.

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Log-polar coordinates

In mathematics, log-polar coordinates (or logarithmic polar coordinates) is a coordinate system in two dimensions, where a point is identified by two numbers, one for the logarithm of the distance to a certain point, and one for an angle.

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Longitude

Longitude, is a geographic coordinate that specifies the east-west position of a point on the Earth's surface.

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Map projection

A map projection is a systematic transformation of the latitudes and longitudes of locations from the surface of a sphere or an ellipsoid into locations on a plane.

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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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Mecca

Mecca or Makkah (مكة is a city in the Hejazi region of the Arabian Peninsula, and the plain of Tihamah in Saudi Arabia, and is also the capital and administrative headquarters of the Makkah Region. The city is located inland from Jeddah in a narrow valley at a height of above sea level, and south of Medina. Its resident population in 2012 was roughly 2 million, although visitors more than triple this number every year during the Ḥajj (حَـجّ, "Pilgrimage") period held in the twelfth Muslim lunar month of Dhūl-Ḥijjah (ذُو الْـحِـجَّـة). As the birthplace of Muhammad, and the site of Muhammad's first revelation of the Quran (specifically, a cave from Mecca), Mecca is regarded as the holiest city in the religion of Islam and a pilgrimage to it known as the Hajj is obligatory for all able Muslims. Mecca is home to the Kaaba, by majority description Islam's holiest site, as well as being the direction of Muslim prayer. Mecca was long ruled by Muhammad's descendants, the sharifs, acting either as independent rulers or as vassals to larger polities. It was conquered by Ibn Saud in 1925. In its modern period, Mecca has seen tremendous expansion in size and infrastructure, home to structures such as the Abraj Al Bait, also known as the Makkah Royal Clock Tower Hotel, the world's fourth tallest building and the building with the third largest amount of floor area. During this expansion, Mecca has lost some historical structures and archaeological sites, such as the Ajyad Fortress. Today, more than 15 million Muslims visit Mecca annually, including several million during the few days of the Hajj. As a result, Mecca has become one of the most cosmopolitan cities in the Muslim world,Fattah, Hassan M., The New York Times (20 January 2005). even though non-Muslims are prohibited from entering the city.

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Method of Fluxions

Method of Fluxions is a book by Isaac Newton.

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Microphone

A microphone, colloquially nicknamed mic or mike, is a transducer that converts sound into an electrical signal.

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Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

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NATO phonetic alphabet

The NATO phonetic alphabet, officially denoted as the International Radiotelephony Spelling Alphabet, and also commonly known as the ICAO phonetic alphabet, and in a variation also known officially as the ITU phonetic alphabet and figure code, is the most widely used radiotelephone spelling alphabet.

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Navigation

Navigation is a field of study that focuses on the process of monitoring and controlling the movement of a craft or vehicle from one place to another.

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Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

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North Magnetic Pole

The North Magnetic Pole is the wandering point on the surface of Earth's Northern Hemisphere at which the planet's magnetic field points vertically downwards (in other words, if a magnetic compass needle is allowed to rotate about a horizontal axis, it will point straight down).

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On Spirals

On Spirals (Περὶ ἑλίκων) is a treatise by Archimedes, written around 225 BC.

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Orbit

In physics, an orbit is the gravitationally curved trajectory of an object, such as the trajectory of a planet around a star or a natural satellite around a planet.

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Osculating circle

In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature is the same as that of the given curve at that point.

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Parabola

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

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Parametric equation

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

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Parity (mathematics)

In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.

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Perpendicular

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

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Phi

Phi (uppercase Φ, lowercase φ or ϕ; ϕεῖ pheî; φι fi) is the 21st letter of the Greek alphabet.

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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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Pi

The number is a mathematical constant.

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Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

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Planimeter

A planimeter, also known as a platometer, is a measuring instrument used to determine the area of an arbitrary two-dimensional shape.

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Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

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Point source

A point source is a single identifiable localised source of something.

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Polar decomposition

In mathematics, particularly in linear algebra and functional analysis, the polar decomposition of a matrix or linear operator is a factorization analogous to the polar form of a nonzero complex number z as z.

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Principal value

In complex analysis, the principal values of a multivalued function are the values along one chosen branch of that function, so that it is single-valued.

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Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

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Qibla

The Qibla (قِـبْـلَـة, "Direction", also transliterated as Qiblah, Qibleh, Kiblah, Kıble or Kibla), is the direction that should be faced when a Muslim prays during Ṣalāṫ (صَـلَاة).

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Radian

The radian (SI symbol rad) is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics.

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Radius of curvature

In differential geometry, the radius of curvature,, is the reciprocal of the curvature.

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Rho

Rho (uppercase Ρ, lowercase ρ or ϱ; ῥῶ) is the 17th letter of the Greek alphabet.

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Riemann sum

In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum.

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Rose (mathematics)

In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates.

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Rotational symmetry

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.

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Semi-major and semi-minor axes

In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the widest points of the perimeter.

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Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

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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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Spherical coordinate system

In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuth angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.

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Spherical trigonometry

Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.

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Surveying

Surveying or land surveying is the technique, profession, and science of determining the terrestrial or three-dimensional positions of points and the distances and angles between them.

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Sylvestre François Lacroix

Sylvestre François Lacroix (28 April 1765, Paris24 May 1843, Paris) was a French mathematician.

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Symmetry

Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.

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Symmetry in biology

Symmetry in biology is the balanced distribution of duplicate body parts or shapes within the body of an organism.

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Theta

Theta (uppercase Θ or ϴ, lowercase θ (which resembles digit 0 with horizontal line) or ϑ; θῆτα thē̂ta; Modern: θήτα| thī́ta) is the eighth letter of the Greek alphabet, derived from the Phoenician letter Teth.

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Total derivative

In the mathematical field of differential calculus, a total derivative or full derivative of a function f of several variables, e.g., t, x, y, etc., with respect to an exogenous argument, e.g., t, is the limiting ratio of the change in the function's value to the change in the exogenous argument's value (for arbitrarily small changes), taking into account the exogenous argument's direct effect as well as indirect effects via the other arguments of the function.

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Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

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Turn (geometry)

A turn is a unit of plane angle measurement equal to 2pi radians, 360 degrees or 400 gradians.

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Variable (mathematics)

In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.

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Vector calculus

Vector calculus, or vector analysis, is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space \mathbb^3.

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Centrifugal force (polar), Circular coordinate system, Circular coordinates, Plane polar coordinates, Polar Angle, Polar Coordinates, Polar Cordinates, Polar Equation, Polar co-ordinates, Polar coord, Polar coordinate, Polar coordinate plane, Polar coordinate systems, Polar coordinates, Polar coordinates system, Polar coords, Polar degree, Polar distance (geometry), Polar equation, Polar geometry, Polar graph, Polar graphing, Polar graphs, Polar plane, Polar plot, Polar system, Radial coordinate, Radial distance, Radial distance (geometry).

References

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

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