শিরোনামা; ন্যায়ানুমানের আপ্তবাক্য;
lemma definition
A lemma is an unproven proposition that is used as a stepping stone to prove a theorem.
lemma শব্দটির synonyms বা প্রতিশব্দ
lemma, flowering_glume,
lemma Example in a sentence
The lemma of the theorem states that under certain conditions, the limit of a function exists.
The basic lemma for calculus is the Mean Value Theorem, which deals with the relationship between the first and second derivatives of a function.
The arithmetic-geometric lemma is a useful tool for proving inequalities involving products and sums of terms.
The pigeonhole lemma states that if n pigeons are placed into m pigeonholes, with n > m, then at least one pigeonhole contains more than one pigeon.
The lemma about matrix inverses states that the inverse of a matrix product is equal to the product of the inverses of the matrices in reverse order.
The Zorn’s lemma is a powerful tool in set theory, and it asserts that any partially ordered set in which every chain has an upper bound contains at least one maximal element.
The Erdős-Kac theorem is a result in number theory that uses the lemma of Cauchy to prove that the number of divisors of a typical integer is asymptotically equal to the square root of the integer.
The lemma of Gauss states that for any polynomial f(x) with integer coefficients, there exists an integer n such that f(n) is divisible by p for every prime number p.
The lemma of Itô is a fundamental result in stochastic calculus, and it provides a way to calculate the differential of a stochastic process.
The lemma of Fubini states that for two measurable functions f and g, the integral of the product of f and g over a product measure space can be calculated as the integral of the integral of f with respect to g over the first factor space times the integral of the integral of g with respect to f over the second factor space.