Phrase Hound found 14 phrases and 1 compound words that contain cauchy. The most common are listed below. Open cauchy in the live search for definitions, filters, and the full list.
Phrases 14
- Cauchy sequenceAny sequence x_n in a metric space with metric d such that for every ϵ>0 there exists a natural number N such that for all k,m>N, d(x_k,x_m)<ϵ.
- Cauchy problemFor a given m-order partial differential equation, the problem of finding a solution function u on ℝⁿ that satisfies the boundary conditions that, for a smooth manifold S⊂ℝⁿ, u(x)=f_0(x) and (∂ᵏu(x))/(∂nᵏ)=f_k(x), ∀x∈S, k=1…m-1, given …
- Cauchy-Schwarz inequalityA theorem which states that the absolute value of the dot product between two vectors is less than or equal to the product of the magnitudes of the two vectors.
- Cauchy distributionA symmetric continuous probability distribution with fat tails, with probability density function that is
- Cauchy horizonA lightlike boundary of the domain of validity of a Cauchy problem, in which one side of the horizon contains closed space-like geodesics and the other side contains closed timelike geodesics.
- Cauchy spaceA space for which notions of a Cauchy sequence and completeness exist.
- Cauchy problemsplural of Cauchy problem: For a given m-order partial differential equation, the problem of finding a solution function u on ℝⁿ that satisfies the boundary conditions that, for a smooth manifold S⊂ℝⁿ, u(x)=f_0(x) and (∂ᵏu(x))/(∂nᵏ)=f_k(x) …
- Cauchy sequencesplural of Cauchy sequence: Any sequence x_n in a metric space with metric d such that for every ϵ>0 there exists a natural number N such that for all k,m>N, d(x_k,x_m)<ϵ.
- Cauchy-Riemann equationGiven a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be …
- Cauchy-Riemann equationsplural of Cauchy-Riemann equation: Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the …
- Cauchy distributionsplural of Cauchy distribution: A symmetric continuous probability distribution with fat tails, with probability density function that is
- Cauchy horizonsplural of Cauchy horizon: A lightlike boundary of the domain of validity of a Cauchy problem, in which one side of the horizon contains closed space-like geodesics and the other side contains closed timelike geodesics.
- Cauchy spacesplural of Cauchy space: A space for which notions of a Cauchy sequence and completeness exist.
- Cauchy-Schwarz inequalitiesplural of Cauchy-Schwarz inequality: A theorem which states that the absolute value of the dot product between two vectors is less than or equal to the product of the magnitudes of the two vectors.
Compound words 1
- CauchyanOf or pertaining to Augustin-Louis Cauchy.