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Meaning of "spherical coordinates" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF SPHERICAL COORDINATES

spherical coordinates play
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GRAMMATICAL CATEGORY OF SPHERICAL COORDINATES

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Spherical coordinates is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES SPHERICAL COORDINATES MEAN IN ENGLISH?

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. The radial distance is also called the radius or radial coordinate. The polar angle may be called colatitude, zenith angle, normal angle, or inclination angle. The use of symbols and the order of the coordinates differs between sources. In one system frequently encountered in physics gives the radial distance, polar angle, and azimuthal angle, whereas in another system used in many mathematics books gives the radial distance, azimuthal angle, and polar angle. In both systems ρ is often used instead of r. Other conventions are also used, so great care needs to be taken to check which one is being used.

Definition of spherical coordinates in the English dictionary

The definition of spherical coordinates in the dictionary is three coordinates that define the location of a point in three-dimensional space in terms of the length r of its radius vector, the angle, θ, which this vector makes with one axis, and the angle, φ, made by a second axis, perpendicular to the first, with the plane containing the first axis and the point. Usually written.

WORDS THAT BEGIN LIKE SPHERICAL COORDINATES

spheral
sphere
sphere of influence
sphereless
spherelike
spheric
spherical
spherical aberration
spherical angle
spherical geometry
spherical polygon
spherical triangle
spherical trigonometry
sphericality
spherically
sphericalness
sphericity
spherics
spheristerion
spherocyte

WORDS THAT END LIKE SPHERICAL COORDINATES

annates
Bates
Cartesian coordinates
chromaticity coordinates
coordinates
cylindrical coordinates
dates
Gates
lares and penates
nates
penates
Pilates
polar coordinates
rates
rectangular coordinates
States
the Gulf States
the states
United Arab Emirates
United States

Synonyms and antonyms of spherical coordinates in the English dictionary of synonyms

SYNONYMS

Translation of «spherical coordinates» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF SPHERICAL COORDINATES

Find out the translation of spherical coordinates to 25 languages with our English multilingual translator.
The translations of spherical coordinates from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «spherical coordinates» in English.

Translator English - Chinese

球面坐标
1,325 millions of speakers

Translator English - Spanish

coordenadas esféricas
570 millions of speakers

English

spherical coordinates
510 millions of speakers

Translator English - Hindi

गोलाकार निर्देशांक
380 millions of speakers
ar

Translator English - Arabic

الإحداثيات الكروية
280 millions of speakers

Translator English - Russian

сферические координаты
278 millions of speakers

Translator English - Portuguese

coordenadas esféricas
270 millions of speakers

Translator English - Bengali

গোলাকার সমন্বয়
260 millions of speakers

Translator English - French

Les coordonnées sphériques
220 millions of speakers

Translator English - Malay

Koordinat sfera
190 millions of speakers

Translator English - German

Kugelkoordinaten
180 millions of speakers

Translator English - Japanese

球面座標
130 millions of speakers

Translator English - Korean

구형 좌표
85 millions of speakers

Translator English - Javanese

Koordinat bola
85 millions of speakers
vi

Translator English - Vietnamese

tọa độ cầu
80 millions of speakers

Translator English - Tamil

கோள ஒருங்கிணைப்பு
75 millions of speakers

Translator English - Marathi

गोलाकार समन्वय
75 millions of speakers

Translator English - Turkish

Küresel koordinatlar
70 millions of speakers

Translator English - Italian

coordinate sferiche
65 millions of speakers

Translator English - Polish

współrzędne sferyczne
50 millions of speakers

Translator English - Ukrainian

сферичні координати
40 millions of speakers

Translator English - Romanian

coordonate sferice
30 millions of speakers
el

Translator English - Greek

σφαιρικές συντεταγμένες
15 millions of speakers
af

Translator English - Afrikaans

bolcoördinaten
14 millions of speakers
sv

Translator English - Swedish

sfäriska koordinater
10 millions of speakers
no

Translator English - Norwegian

kulekoordinater
5 millions of speakers

Trends of use of spherical coordinates

TRENDS

TENDENCIES OF USE OF THE TERM «SPHERICAL COORDINATES»

The term «spherical coordinates» is regularly used and occupies the 82.465 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
62
/100
The map shown above gives the frequency of use of the term «spherical coordinates» in the different countries.
Principal search tendencies and common uses of spherical coordinates
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «spherical coordinates».

FREQUENCY OF USE OF THE TERM «SPHERICAL COORDINATES» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «spherical coordinates» during the past 500 years. Its implementation is based on analysing how often the term «spherical coordinates» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about spherical coordinates

EXAMPLES

10 ENGLISH BOOKS RELATING TO «SPHERICAL COORDINATES»

Discover the use of spherical coordinates in the following bibliographical selection. Books relating to spherical coordinates and brief extracts from same to provide context of its use in English literature.
1
A Guided Tour of Mathematical Methods for the Physical Sciences
4.3 Acceleration in spherical coordinates You may wonder whether we really need all these transformation rules between a Cartesian coordinate system and a system of spherical coordinates. The answer is yes! An important example can be  ...
Roel Snieder, 2004
2
Calculus
Find the mass and center of mass of a solid hemisphere of radius if the density at any point is proportional to its distance from the base. a 35–38 Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume and  ...
James Stewart, 2007
3
Calculus: Concepts and Contexts
Members of the family of surfaces given in spherical coordinates by the equation 1 0.2 sin m sin n have been suggested as models for tumors and have been called bumpy spheres and wrinkled spheres. Use a computer to investigate this ...
James Stewart, 2009
4
Boundary Value Problems of Heat Conduction
... and spherical geometries, it is desirable to write the finite difference equations in the cylindrical and spherical coordinates respectively; and for such cases the finite difference approximation of the Laplacian requires further considerations.
M. Necati Ozisik, 2002
5
Quantum Mechanics: Concepts and Applications
Appendix. B. Angular. Momentum. in. Spherical. Coordinates. In this appendix, we will show how to derive the expressions of the gradient V, the Laplacian V2, and the components of the orbital angular momentum in spherical coordinates.
Nouredine Zettili, 2009
6
An Introduction to Dynamic Meteorology
Since the departure of the shape of the earth from sphericity is entirely negligible for meteorological purposes, it is convenient to expand (2.8) in spherical coordinates so that the (level) surface of the earth corresponds to a coordinate surface.
James R. Holton, 2004
7
Fundamentals of Atmospheric Modeling
Spherical coordinates are used over global-, synoptic-, and many mesoscale, domains, where curvature cannot be neglected. Equations for the geostrophic wind, gradient wind, and surface wind are derived from the momentum equation.
Mark Z. Jacobson, 2005
8
Atmospheric and Oceanic Fluid Dynamics: Fundamentals and ...
Thus, if we adhered to true spherical coordinates, both the horizontal and radial components of the momentum equation would be dominated by a static balance between a pressure gradient and gravity or centrifugal terms. Although in ...
Geoffrey K. Vallis, 2006
9
Calculus
... is 1 — r. its area is 7i( 1 — z)2. The z integral adds those slices to give 7r/3. That is correct, but it is not the only way to compute the volume. Second solution Do the z and 9 integrals first. Since. 14.4 Cylindrical and Spherical Coordinates ...
Gilbert Strang, 1991
10
Engineering Electromagnetics
The actual evaluation of the surface integrals is obviously coordinate dependent. 2.3.2.2 Divergence in Cylindrical and Spherical Coordinates The divergence in cylindrical and spherical coordinates may be obtained in an analogous manner:  ...
Nathan Ida, 2004

10 NEWS ITEMS WHICH INCLUDE THE TERM «SPHERICAL COORDINATES»

Find out what the national and international press are talking about and how the term spherical coordinates is used in the context of the following news items.
1
Sphere Tessellation wrong coordinates mapping
Of course, I know the coordinates mapping aren't the same, I tried many ways to do it. ... Then convert them to a spherical coordinates, but it 'really' didn't work. «GameDev.net, Apr 15»
2
Christian Wünsch next up on Unknown Landscapes
The label released his debut album, Internal Conversion, back in May, and the two producers have also been collaborating as Spherical Coordinates, putting out ... «Resident Advisor, Dec 14»
3
New Research Reveals Ominous Future for Universe
space mirror is spherical. > it has a diameter of 60 Gigameters. Now I must ask you ... ( spherical coordinates). From this earths orbit can be discerned. What is the ... «Voice of America, Nov 14»
4
Rescinded: Upgrading Newton's Universal Gravity Law using Actions
I know a similar kind of thing happens when writing the Schwarzschild metric: all the change can be packed into dR in spherical coordinates or spread out over ... «Science 2.0, Feb 14»
5
3D modeling system for easily displaying complex congenital heart …
The data structure we use is skeletal, or spherical coordinates, so the data is suitable for rendering blood vessels and organs. We think such methods may be ... «AkihabaraNews, Dec 13»
6
Spherical Worlds using Spherical Coordinates
My question is this: has anyone used or thought about spherical coordinates to procedurally create LOD and terrain on planets? I know about the cube-map ... «GameDev.net, Oct 13»
7
Compact World Space normal storage in g-buffer
Spherical coordinates will give you pretty good precision in world space, especially in 16-bit. However you'll eat up some ALU cycles on trig instructions. Another ... «GameDev.net, Jan 13»
8
A Quantum Constellation
... amplitude and phase of its two components, and these two parameters can be mapped to the spherical coordinates and , which specify the direction of n. «Physics, Jun 12»
9
In-Depth: Spherical Harmonic Lighting
Spherical Harmonics(SH) functions are a set of orthogonal basis functions defined in spherical coordinates using imaginary numbers. In this post, we use the ... «Gamasutra, Dec 11»
10
Efficiently parsing quadtree spheres for lod selection and collision …
Another idea I had was to make every node store its spherical coordinate range. ... my nodes are not aligned to spherical coordinates, so this won't work either. «GameDev.net, Sep 11»

REFERENCE
« EDUCALINGO. Spherical coordinates [online]. Available <https://educalingo.com/en/dic-en/spherical-coordinates>. Apr 2024 ».
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