Theorem: A theorem is a statement that can be proven via logic which generally stems from a collection of postulates or axioms. They have been in use since Euclidean geometry as the basis of geometrical facts. [100%] 2023-02-21 [Mathematics]
Theorem: In logic, a theorem is formally meant to be a formula that can be transformed by applying inferential rules to axioms in a deductive system. This formal notion of proofs in logic is crucial in fields such as proof theory ... [100%] 2023-02-03
Theorem: In mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a ... (In mathematics, a statement that has been proved) [100%] 2023-09-23 [Theorems] [Logical consequence]...
Theorem: A mathematical statement whose truth has been established by means of a proof. The concept of a theorem developed and became more precise together with the concept of a mathematical proof. (Mathematics) [100%] 2023-10-18
Theorum: Theorum (rhymes with decorum, apparently) is a neologism proposed by Richard Dawkins in The Greatest Show on Earth to distinguish the scientific meaning of theory from the colloquial meaning. In most of the opening introduction to the show, he substitutes ... [99%] 2024-01-05 [Neologisms] [Language]...
Fundamental theorem of ideal theory in number fields: . [97%] 2023-05-28
Prime Number Theorem: The Prime Number Theorem is one of the most famous theorems in mathematics. It states that the number of primes not exceeding n is asymptotic to , where log(n) is the logarithm of (n) to the base e. [96%] 2023-02-09 [Number Theory]
Odd number theorem: The odd number theorem is a theorem in strong gravitational lensing which comes directly from differential topology. The theorem states that the number of multiple images produced by a bounded transparent lens must be odd. (Physics) [96%] 2024-01-19 [Gravitational lensing] [Physics theorems]...
Prime Number Theorem: The list of prime numbers suggests that they thin out the further you go: 44% of the one-digit numbers are prime, but only 23% of the two-digit numbers and 16% of the three-digit numbers. The trial division ... [96%] 2023-10-17
Prime number theorem: In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which ... (Characterization of how many integers are prime) [96%] 2024-03-04 [Logarithms] [Theorems about prime numbers]...
Prime number theorem: In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which ... (Characterization of how many integers are prime) [96%] 2024-11-07 [Logarithms] [Theorems about prime numbers]...
Number theory: The science of integers (cf. also Integer). (Mathematics) [94%] 2023-10-17
Number theory: Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Any attempt to conduct such a study naturally leads to an examination of the properties of prime numbers (the building blocks of integers) as ... [94%] 2023-06-11 [Number theory]
Number Theory: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." —Gauss This topic is about Number Theory, or in simple language study of properties of integers. Number theory is the branch of pure mathematics concerned ... [94%] 2023-12-13 [Secondary Math Courses]
Number theory: Number theory is a branch of mathematics involving the study of the properties and relationships of numbers. Number theory typically deals only with integers (as opposed to all real numbers). [94%] 2023-06-30 [Number Theory]
Number theory: Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of ... (Mathematics of integer properties) [94%] 2024-08-30 [Number theory]
Research in Number Theory: Research in Number Theory is a peer-reviewed mathematics journal covering number theory and arithmetic geometry. The editors-in-chief are Jennifer Balakrishnan (Boston University), Florian Luca (University of Witwatersrand), Ken Ono (University of Virginia), and Andrew Sutherland (Massachusetts Institute ... [87%] 2023-11-11 [Mathematics journals]
Mackey intertwining number theorem: intertwining number theorem. Let $ G $ be a finite group. (Mathematics) [83%] 2023-09-10
Euclidean prime number theorem: The set of prime numbers is infinite (Euclid's Elements, Book IX, Prop. 20). (Mathematics) [83%] 2023-10-13
Number theory, probabilistic methods in: In the broad sense, that part of number theory in which ideas and methods from probability theory are used. By probabilistic number theory in the narrow sense one means the statistical theory of the distribution of values of an arithmetic ... (Mathematics) [78%] 2023-09-23
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