- arithmetical sequence
- arithmetical progression or arithmetical sequence nounA series increasing or diminishing by a common difference, eg 7, 10, 13, 16, 19, 22, or 12, 101/2, 9, 71/2, 6• • •Main Entry: ↑arithmetic
Useful english dictionary. 2012.
arithmetical sequence
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arithmetical progression — or arithmetical sequence noun A series increasing or diminishing by a common difference, eg 7, 10, 13, 16, 19, 22, or 12, 101/2, 9, 71/2, 6 • • • Main Entry: ↑arithmetic * * * arithmetical progression or arithmetical series, a series of numbers… … Useful english dictionary
Arithmetical set — In mathematical logic, an arithmetical set (or arithmetic set) is a set of natural numbers that can be defined by a formula of first order Peano arithmetic. The arithmetical sets are classified by the arithmetical hierarchy.A function f:subseteq… … Wikipedia
arithmetical progression — /ˌærəθmɛtɪkəl prəˈgrɛʃən/ (say .aruhthmetikuhl pruh greshuhn) noun a sequence in which each term is obtained by the addition of a constant number to the preceding term. For example, 1, 4, 7, 10, 13, and 6, 1, 4, 9, 14. Also, arithmetic series …
Algorithmically random sequence — Intuitively, an algorithmically random sequence (or random sequence) is an infinite sequence of binary digits that appears random to any algorithm. The definition applies equally well to sequences on any finite set of characters. Random sequences … Wikipedia
Thomson's lamp — is a puzzle that is a variation on Zeno s paradoxes. It was devised by philosopher James F. Thomson, who also coined the term supertask .Consider a lamp with a toggle switch. Flicking the switch once turns the lamp on. Another flick will turn the … Wikipedia
Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… … Wikipedia
Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… … Wikipedia
Exact sciences (The) in Hellenistic times: texts and issues — The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… … History of philosophy
Kleene's T predicate — In computability theory, the T predicate, first studied by mathematician Stephen Cole Kleene, is a particular set of triples of natural numbers that is used to represent computable functions within formal theories of arithmetic. Informally, the T … Wikipedia
Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… … History of philosophy
