Associations to the word «Cauchy»
Noun
- Augustin
- Schwarz
- Tensor
- Integral
- Deformation
- Euler
- Theorem
- Inequality
- Convergence
- Equation
- Hilbert
- Optimization
- Calculus
- Singularity
- Determinant
- Stress
- Equivalence
- Generalization
- Sequence
- Fourier
- Formula
- Newton
- Mathematician
- Condensation
- Multiplication
- Derivative
- Vector
- Polynomial
- Permutation
- Gradient
- Differentiation
- Momentum
- Variance
- Continuity
- Kernel
- Stokes
- Variable
- Distribution
- Framework
- Abel
- Continuum
- Iteration
- Topology
- Integer
- Algebra
- Residue
- Duality
- Matrice
- Coefficient
- Bernhard
- Function
- Median
- Transform
- Proof
- Entropy
- Manifold
- Subset
- Relativity
- Filter
- Conjecture
Adjective
Adverb
Wiktionary
CAUCHY, adjective. (of a sequence in a metric space) Whose terms become progressively closer to one another.
CAUCHY DISTRIBUTION, noun. (statistics) A continuous probability distribution such that its probability density function is
CAUCHY DISTRIBUTIONS, noun. Plural of Cauchy distribution
CAUCHY SEQUENCE, noun. (analysis) A sequence in a normed vector space such that the difference between any two entries can be made arbitrarily small by stipulating that the two entries be sufficiently far out in the sequence.
CAUCHY SEQUENCE, noun. (analysis) A sequence \( x_n \) in a metric space with metric d such that for every \( \epsilon > 0 \) there exists a natural number N so that for every \( k, m \ge N \) : \( d(x_k, x_m) < \epsilon \).
CAUCHY SEQUENCES, noun. Plural of Cauchy sequence
CAUCHY SPACE, noun. (topology) A space for which notions of a Cauchy sequence and completeness exist.
Wise words
Language is a process of free creation; its laws and
principles are fixed, but the manner in which the principles
of generation are used is free and infinitely varied. Even
the interpretation and use of words involves a process of
free creation.