Definition, Betydelse & Synonymer | Engelska ordet ARITHMETICAL

Definition av ARITHMETICAL

1. (matematik) aritmetisk

Exempel på hur man kan använda ARITHMETICAL i en mening

• In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function f(n) whose domain is the positive integers and whose range is a subset of the complex numbers.
• Various geometrical and arithmetical objects can be described by so-called global L-functions, which are formally similar to the Riemann zeta-function.
• Hilbert's statement is sometimes misunderstood, because by the "arithmetical axioms" he did not mean a system equivalent to Peano arithmetic, but a stronger system with a second-order completeness axiom.
• In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy (after mathematicians Stephen Cole Kleene and Andrzej Mostowski) classifies certain sets based on the complexity of formulas that define them.
• Niels Henrik Abel partially proves that the general quintic or higher equations cannot be solved by a general formula involving only arithmetical operations and roots.
• The metaphorical association between numbers and points on the line links arithmetical operations on numbers to geometric relations between points, and provides a conceptual scaffold for learning mathematics.
• Frege shows that HP and suitable definitions of arithmetical notions entail all axioms of what we now call second-order arithmetic.
• Basic numeracy skills consist of comprehending fundamental arithmetical operations like addition, subtraction, multiplication, and division.
• Publication of Edward Stone's The whole doctrine of parallaxes explained and illustrated by an arithmetical and geometrical construction of the transit of Venus over the sun, June 6th, 1761.
• However, internal and external buses are (mostly) not wider than 16-bit, and, just like in other 32-bit microprocessors of the era (such as the 68000 or the 32016), 32-bit arithmetical instructions are implemented by a 16-bit ALU, via random logic and microcode or other kinds of sequential logic.
• There, the procedure was justified by concrete arithmetical arguments, then applied creatively to a wide variety of story problems, including one involving what we would call secant lines on a conic section.
• Richard Hoffman noted that odds of a proposal's acceptance is strongly associated with the arithmetical difference between the number of utterances supporting versus rejecting that proposal.
• Post's theorem establishes a close correspondence between the arithmetical hierarchy and finitely iterated Turing jumps of the empty set.
• In computability theory Post's theorem, named after Emil Post, describes the connection between the arithmetical hierarchy and the Turing degrees.
• His major works include Dhīkotida-karana (1039), a work of twenty verses on solar and lunar eclipses; Dhruva-mānasa (written in 1056), a work of 105 verses on calculating planetary longitudes, eclipses and planetary transits; Siddhānta-śekhara a major work on astronomy in 19 chapters; and Gaṇita-tilaka, an incomplete arithmetical treatise in 125 verses based on a work by Shridhara.
• If we restrict ourselves to ordered structures with a successor relation and basic arithmetical predicates, then we get the following characterisations:.
• Hideyoshi congratulated Masaie on arithmetical faculty and appointed him as one of the Go-Bugyō, along with Ishida Mitsunari, Maeda Gen'i, Asano Nagamasa and Mashita Nagamori.
• Becker utilized not only Husserlian phenomenology but, much more controversially, Heideggerian hermeneutics, discussing arithmetical counting as "being toward death".
• In "The polymodal logic of provability" Japaridze proved the arithmetical completeness of this system, as well as its inherent incompleteness with respect to Kripke frames.
• He was thus led to conclude that chemistry is a branch of applied mathematics and to endeavour to trace a law according to which the quantities of different bases required to saturate a given acid formed an arithmetical progression, and the quantities of acids saturating a given base a geometric progression.

Förberedelsen av sidan tog: 345,06 ms.