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Laplacian

Meaning of "Laplacian" in the English dictionary

DICTIONARY

PRONUNCIATION OF LAPLACIAN

ləˈpleɪʃɪən


GRAMMATICAL CATEGORY OF LAPLACIAN

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Laplacian 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 LAPLACIAN MEAN IN ENGLISH?

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. It is usually denoted by the symbols ∇·∇, ∇2 or ∆. The Laplacian ∆f of a function f at a point p, up to a constant depending on the dimension, is the rate at which the average value of f over spheres centered at p, deviates from f as the radius of the sphere grows. In a Cartesian coordinate system, the Laplacian is given by the sum of second partial derivatives of the function with respect to each independent variable. In other coordinate systems such as cylindrical and spherical coordinates, the Laplacian also has a useful form. The Laplace operator is named after the French mathematician Pierre-Simon de Laplace, who first applied the operator to the study of celestial mechanics, where the operator gives a constant multiple of the mass density when it is applied to a given gravitational potential.

WORDS THAT RHYME WITH LAPLACIAN

amphiscian · antiscian · Appalachian · Cilician · cybernetician · Galician · Gratian · Haitian · Haytian · Laotian · Lilliputian · Lusatian · Nietzschean · Ordovician · pancratian · periscian · Priscian · Sarmatian · Silesian · Thracian

WORDS THAT BEGIN LIKE LAPLACIAN

Lapith · Lapithae · Laplace · Laplace operator · Lapland · Lapland bunting · Laplander · Lapp · lapped · lapped joint · lapper · lappet · lappet moth · lappeted · lappie · lapping · Lappish · lapsable · Lapsang · Lapsang Souchong

WORDS THAT END LIKE LAPLACIAN

Aurignacian · beautician · clinician · Dacian · dietician · electrician · geriatrician · Grecian · Lucian · magician · mathematician · musician · obstetrician · optician · pediatrician · Phaeacian · physician · politician · statistician · technician

Synonyms and antonyms of Laplacian in the English dictionary of synonyms

SYNONYMS

Translation of «Laplacian» into 25 languages

TRANSLATOR

TRANSLATION OF LAPLACIAN

Find out the translation of Laplacian to 25 languages with our English multilingual translator.

The translations of Laplacian from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Laplacian» in English.
zh

Translator English - Chinese

拉普拉斯
1,325 millions of speakers
es

Translator English - Spanish

Laplaciano
570 millions of speakers
en

English

Laplacian
510 millions of speakers
hi

Translator English - Hindi

Laplacian
380 millions of speakers
ar

Translator English - Arabic

Laplacian
280 millions of speakers
ru

Translator English - Russian

Лапласа
278 millions of speakers
pt

Translator English - Portuguese

Laplacian
270 millions of speakers
bn

Translator English - Bengali

Laplacian
260 millions of speakers
fr

Translator English - French

Laplacien
220 millions of speakers
ms

Translator English - Malay

Laplacian
190 millions of speakers
de

Translator English - German

Laplace
180 millions of speakers
ja

Translator English - Japanese

ラプラス
130 millions of speakers
ko

Translator English - Korean

라플라스
85 millions of speakers
jv

Translator English - Javanese

Laplacian
85 millions of speakers
vi

Translator English - Vietnamese

Laplacian
80 millions of speakers
ta

Translator English - Tamil

Laplacian
75 millions of speakers
mr

Translator English - Marathi

लॅप्लासीयन
75 millions of speakers
tr

Translator English - Turkish

Laplace
70 millions of speakers
it

Translator English - Italian

laplaciano
65 millions of speakers
pl

Translator English - Polish

Laplace´a
50 millions of speakers
uk

Translator English - Ukrainian

Лапласа
40 millions of speakers
ro

Translator English - Romanian

laplacian
30 millions of speakers
el

Translator English - Greek

Λαπλασιανή
15 millions of speakers
af

Translator English - Afrikaans

Laplace
14 millions of speakers
sv

Translator English - Swedish

Laplace
10 millions of speakers
no

Translator English - Norwegian

Laplacian
5 millions of speakers

Trends of use of Laplacian

TRENDS

TENDENCIES OF USE OF THE TERM «LAPLACIAN»

Principal search tendencies and common uses of Laplacian
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Laplacian».

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «LAPLACIAN»

Discover the use of Laplacian in the following bibliographical selection. Books relating to Laplacian and brief extracts from same to provide context of its use in English literature.
1
The Laplacian on a Riemannian Manifold: An Introduction to ...
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Steven Rosenberg, 1997
2
Applications of Combinatorial Matrix Theory to Laplacian ...
This book can serve as exploratory literature for the undergraduate student who is just learning how to do mathematical research, a useful "start-up" book for the graduate student beginning research in matrix-graph theory, and a convenient ...
Jason J. Molitierno, 2012
3
Hypoelliptic Laplacian and Orbital Integrals (AM-177)
This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula.
Jean-Michel Bismut, 2011
4
The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
This book presents the analytic foundations to the theory of the hypoelliptic Laplacian.
Jean-Michel Bismut, Gilles Lebeau, 2008
5
The Lévy Laplacian
The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this 2005 book was the first systematic treatment of the Lévy-Laplace operator.
M. N. Feller, 2005
6
Analysis of the SOR Iteration for the 9-point Laplacian
Loyce M. Adams, Randall J. LeVeque, David M. Young. Figure 5.2. Spectral Radius for Point and Line SOR Methods Figure 5.2 shows that, based on the actual spectral radius, the line methods converge faster than the point methods for both ...
Loyce M. Adams, Randall J. LeVeque, David M. Young, 1986
7
The Dirichlet Problem for the Laplacian in Bounded and ...
The Dirichlet Problem -?u=ƒ in G, u|?G=0 for the Laplacian in a domain GÌRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and ...
Christian G Simader, H Sohr, 1996
8
Eigenvalues of the Laplacian for Hecke Triangle Groups
This work is concerned with computational aspects of the Selberg trace formalism.
Dennis A. Hejhal, 1990
9
On a Fast Algorithm for Computing the Laplacian Eigenpairs ...
N. Saito recently proposed a new method to analyze and represent data recorded on a domain O of general shape in Rd by expanding the data into a set of the eigenfunctions of Laplacian defined over O. Instead of directly solving the ...
Xiaodong Xue, 2007
10
Vector Calculus
Laplacian. of. a. scalar. field. Suppose that a scalar field 0 is twice differentiable. Then the gradient of <j> is a differentiable vector field V0, so we can take the divergence of V0 and obtain another scalar field. This scalar field, V . V<j> is called ...
Paul C. Matthews, 1998

10 NEWS ITEMS WHICH INCLUDE THE TERM «LAPLACIAN»

Find out what the national and international press are talking about and how the term Laplacian is used in the context of the following news items.
1
Seeing through chaos in multimode fibres
where Δ⊥ is the transversal part of the Laplacian and k0 is the wavenumber. The solutions can be indexed by the angular index l (angular momentum, ... «Nature.com, Jul 15»
2
Trend Filtering: Recent Advances and Challenges (#1) Privacy-for …
This approach is more locally adaptive compared to the standard methods such as wavelet smoothing and Laplacian smoothing and can be ... «Perspectives@SMU, Jun 15»
3
Blue Pill/Red Pill: How Officers and Board Members Can Swallow …
... or an Electrical Engineer that knows how to take the Laplacian of the Gaussian before complex convolution with the Fast Fourier Transform, ... «The National Law Review, May 15»
4
It's complicated: Self-organized patterns identify emergent behavior …
The challenge was to derive the closed-form expression of the covariance statistics eigenvalues using the structure variables Laplacian ... «Phys.Org, Apr 15»
5
Baltimore Ravens lineman is a mathematical genius
... for fast computation of the Fiedler vector of a graph Laplacian, namely, the eigenvector corresponding to the second smallest eigenvalue.”. «FanSided, Mar 15»
6
Baltimore Ravens Offensive Lineman John Urschel Publishes Paper …
"In this paper, we develop a cascadic multigrid algorithm for fast computation of the Fiedler vector of a graph Laplacian, namely, the eigenvector ... «The Post Game, Mar 15»
7
Struppa on math, physics and Shakespeare
This state of unbalance continues throughout the play, as when Guilderstern, early in Act Two, embraces a Laplacian deterministic philosophy ... «OCRegister, Mar 15»
8
Computational tool leaves electrides with nowhere to hide
... (ELF) basin, and negative values of the electron density Laplacian were used as the main criteria for characterising electrides in the study. «Royal Society of Chemistry, Feb 15»
9
Automatic quality prediction of authentically distorted pictures
... complex domain, difference of Gaussians, and Laplacian decomposition) on the luminance component and on the four chroma components, ... «SPIE Newsroom, Feb 15»
10
Patterns in physics
Nor are quantum wave solutions of the Schroedinger equation the same even if both involve the same Laplacian operator. maths Advanced ... «OUPblog, Nov 14»
REFERENCE
« EDUCALINGO. Laplacian [online]. Available <https://educalingo.com/en/dic-en/laplacian>. May 2024 ».
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