Word Pronunciation & Dictionary

laplace's equation

Word Rarity Very rare

Frequency: Zipf frequency 1.26 in modern English

Syllables: laplace's e-qua-tion
IPA

29

Scrabble Score

16

Letters

3

Syllables

12

Unique Chars

Meaning

noun

The partial differential equation (∂²φ)/(∂x_1²)+(∂²φ)/(∂x_2²)+⋯+(∂²φ)/(∂x_n²)=0, commonly written Δφ=0 or ∇²φ=0, where Δ(=∇²) is the Laplace operator and φ is a scalar function.

Example Sentences

"In practical problems, since the charges are confined to small regions while major part of the space is charge-free, it is obvious that Laplace's Equation has far greater utility than Poisson's equation."
"Numerous problems in electrical engineering require a solution of Laplace's equation in two dimensions. This section outlines a classic problem that leads to Laplace's equation, then develops a finite element method for its solution."
"2002, Gerald D. Mahan, Applied Mathematics, Kluwer Academic / Plenum, page 141, Laplace's equation appears in a variety of physics problems and several examples are provided below. The relevance of Laplace's equation to complex variables is provided by the following important theorem."

Inflected Forms

Laplace's equations (plural) Laplace equation (alternative)

Questions

What does laplace's equation mean?: The partial differential equation (∂²φ)/(∂x_1²)+(∂²φ)/(∂x_2²)+⋯+(∂²φ)/(∂x_n²)=0, commonly written Δφ=0 or ∇²φ=0, where Δ(=∇²) is the Laplace operator and φ is a scalar function.

How to pronounce laplace's equation

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