cauchy

listen to the pronunciation of cauchy
İngilizce - İngilizce
Whose terms become progressively closer to one another
Cauchy distribution
A continuous probability distribution such that its probability density function is
Cauchy distributions
plural form of Cauchy distribution
Cauchy sequence
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

\lim_{n,m\to \infty} \|x_n-x_m\|=0.

Cauchy sequence
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)
Cauchy sequences
plural form of Cauchy sequence
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
Cauchy-Schwarz inequality
Any of several related inequalities developed by Augustin-Louis Cauchy and, later, Herman Schwarz (1843-1921). The inequalities arise from assigning a real number measurement, or norm, to the functions, vectors, or integrals within a particular space in order to analyze their relationship. For functions f and g, whose squares are integrable and thus usable as a norm, (fg)^2/n/n(f^2)(g^2). For vectors a = (a1, a2, a3,..., an) and b = (b1, b2, b3,..., bn), together with the inner product (see inner product space) for a norm, ((ai, bi))^2 (ai)^2(bi)^2. In addition to functional analysis, these inequalities have important applications in statistics and probability theory
Augustin-Louis Baron Cauchy
born Aug. 21, 1789, Paris, France died May 23, 1857, Sceaux French mathematician, pioneer of analysis and group theory. After a career as a military engineer in Napoleon's navy, he wrote a treatise in 1813 that became the basis of the theory of complex variables. He also clarified the theory of calculus by developing the concepts of limits and continuity, laid the foundations for the mathematical theory of elasticity, and made important contributions to number theory. He is considered one of the greatest mathematicians of the modern era
cauchy

    Heceleme

    Cau·chy

    Etimoloji

    [ kO-'shE-, 'kO-shE- ] (noun.) circa 1949. Augustin-Louis Cauchy died 1857 French mathematician.