Crossword Solver > found answer > SECTORIAL

Welcome to Anagrammer Crossword Genius! Keep reading below to see if sectorial is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on sectorial.

CROSSWORD
ANSWER

sectorial

Searching in Crosswords ...

The answer SECTORIAL has 0 possible clue(s) in existing crosswords.

Searching in Word Games ...

The word SECTORIAL is VALID in some board games. Check SECTORIAL in word games in Scrabble, Words With Friends, see scores, anagrams etc.

Searching in Dictionaries ...

Definitions of sectorial in various dictionaries:

adj - relating to or resembling a sector

Word Research / Anagrams and more ...

Keep reading for additional results and analysis below.

Sectorial might refer to
In mathematics and physical science, Spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations that commonly occur in science. The spherical harmonics are a complete set of orthogonal functions on the sphere, and thus may be used to represent functions defined on the surface of a sphere, just as circular functions (sines and cosines) are used to represent functions on a circle via Fourier series. Like the sines and cosines in Fourier series, the spherical harmonics may be organized by (spatial) angular frequency, as seen in the rows of functions in the illustration on the right. Further, spherical harmonics are basis functions for SO(3), the group of rotations in three dimensions, and thus play a central role in the group theoretic discussion of SO(3). * Despite their name, spherical harmonics take their simplest form in Cartesian coordinates, where they can be defined as homogeneous polynomials of degree * * * * ℓ * * * {\displaystyle \ell } * in * * * * ( * x * , * y * , * z * ) * * * {\displaystyle (x,y,z)} * that obey Laplace's equation. Functions that satisfy Laplace's equation are often said to be harmonic, hence the name spherical harmonics. The connection with spherical coordinates arises immediately if one uses the homogeneity to extract a factor of * * * * * r * * ℓ * * * * * {\displaystyle r^{\ell }} * from the above-mentioned polynomial of degree * * * * ℓ * * * {\displaystyle \ell } * ; the remaining factor can be regarded as a function of the spherical angular coordinates * * * * θ * * * {\displaystyle \theta } * and * * * * φ * * * {\displaystyle \varphi } * only, or equivalently of the orientational unit vector * * * * * * r * * * * * {\displaystyle {\mathbf {r} }} * specified by these angles. In this setting, they may be viewed as the angular portion of a set of solutions to Laplace's equation in three dimensions, and this viewpoint is often taken as an alternative definition. * A specific set of spherical harmonics, denoted * * * * * Y * * ℓ * * * m * * * ( * θ * , * φ * ) * * * {\displaystyle Y_{\ell }^{m}(\theta ,\varphi )} * or * * * * * Y * * ℓ * * * m * * * ( * * * r * * * ) * * * {\displaystyle Y_{\ell }^{m}({\mathbf {r} })} * , are called Laplace's spherical harmonics, as they were first introduced by Pierre Simon de Laplace in 1782. These fun...

Sectorial might refer to

In mathematics and physical science, Spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations that commonly occur in science. The spherical harmonics are a complete set of orthogonal functions on the sphere, and thus may be used to represent functions defined on the surface of a sphere, just as circular functions (sines and cosines) are used to represent functions on a circle via Fourier series. Like the sines and cosines in Fourier series, the spherical harmonics may be organized by (spatial) angular frequency, as seen in the rows of functions in the illustration on the right. Further, spherical harmonics are basis functions for SO(3), the group of rotations in three dimensions, and thus play a central role in the group theoretic discussion of SO(3).
* Despite their name, spherical harmonics take their simplest form in Cartesian coordinates, where they can be defined as homogeneous polynomials of degree
*
*
*
* ℓ
*
*
* {\displaystyle \ell }
* in
*
*
*
* (
* x
* ,
* y
* ,
* z
* )
*
*
* {\displaystyle (x,y,z)}
* that obey Laplace's equation. Functions that satisfy Laplace's equation are often said to be harmonic, hence the name spherical harmonics. The connection with spherical coordinates arises immediately if one uses the homogeneity to extract a factor of
*
*
*
*
* r
*
* ℓ
*
*
*
*
* {\displaystyle r^{\ell }}
* from the above-mentioned polynomial of degree
*
*
*
* ℓ
*
*
* {\displaystyle \ell }
* ; the remaining factor can be regarded as a function of the spherical angular coordinates
*
*
*
* θ
*
*
* {\displaystyle \theta }
* and
*
*
*
* φ
*
*
* {\displaystyle \varphi }
* only, or equivalently of the orientational unit vector
*
*
*
*
*
* r
*
*
*
*
* {\displaystyle {\mathbf {r} }}
* specified by these angles. In this setting, they may be viewed as the angular portion of a set of solutions to Laplace's equation in three dimensions, and this viewpoint is often taken as an alternative definition.
* A specific set of spherical harmonics, denoted
*
*
*
*
* Y
*
* ℓ
*
*
* m
*
*
* (
* θ
* ,
* φ
* )
*
*
* {\displaystyle Y_{\ell }^{m}(\theta ,\varphi )}
* or
*
*
*
*
* Y
*
* ℓ
*
*
* m
*
*
* (
*
*
* r
*
*
* )
*
*
* {\displaystyle Y_{\ell }^{m}({\mathbf {r} })}
* , are called Laplace's spherical harmonics, as they were first introduced by Pierre Simon de Laplace in 1782. These fun...

Anagrammer Crossword Solver is a powerful crossword puzzle resource site. We maintain millions of regularly updated crossword solutions, clues and answers of almost every popular crossword puzzle and word game out there. We encourage you to bookmark our puzzle solver as well as the other word solvers throughout our site. Explore deeper into our site and you will find many educational tools, flash cards and plenty more resources that will make you a much better player. Sectorial: In mathematics and physical science, spherical harmonics are special functions defined on the surfa...