Speakur

Word Pronunciation & Dictionary

laplacian matrix

Word Rarity Very rare

Frequency: Zipf frequency 2.00 in modern English

Syllables
lapla-cian -ma-trix
IPA
28
Scrabble Score
15
Letters
4
Syllables
10
Unique Chars

Meaning

noun

A square n×n matrix which describes an undirected graph of n vertices by letting rows and columns correspond to vertices, letting its diagonal elements contain the degrees of corresponding vertices and letting its non-diagonal elements contain either −1 or 0 depending on whether there is or there is not (respectively) an edge connecting the pair of corresponding vertices.

Etymology

Named after Pierre-Simon, marquis de Laplace (1749 – 1827), a French scholar whose work was important to the development of mathematics, statistics, physics and astronomy.

Inflected Forms

Laplacian matrices (plural)

Questions

What does laplacian matrix mean?
A square n×n matrix which describes an undirected graph of n vertices by letting rows and columns correspond to vertices, letting its diagonal elements contain the degrees of corresponding vertices and letting its non-diagonal elements contain either −1 or 0 depending on whether there is or there is not (respectively) an edge connecting the pair of corresponding vertices.
Where does laplacian matrix come from?
Named after Pierre-Simon, marquis de Laplace (1749 – 1827), a French scholar whose work was important to the development of mathematics, statistics, physics and astronomy.

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