Search for "Arithmetic" in article titles:

1. Arithmetic: Arithmetic, the art of dealing with numerical quantities in their numerical relations. Arithmetic is usually divided into Abstract Arithmetic and Concrete Arithmetic, the former dealing with numbers and the latter with concrete objects. In stating that the sum of 11d. [100%] 2022-09-02
2. Arithmetic: This must have been familiar to the ancient Hebrews. The sacred books mention large amounts, showing that the people were acquainted with the art of computation. Expressions are found even for fractions (see Gesenius, "Lehrgebäude," 704). (Jewish encyclopedia 1906) [100%] 1906-01-01 [Jewish encyclopedia 1906]
3. Arithmetic: ARITHMETIC a-rith'-me-tik. See NUMBER. a-rith'-me-tik. See NUMBER. [100%] 1915-01-01
4. Arithmetic: Arithmetic is an elementary branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. (Elementary branch of mathematics) [100%] 2024-01-13 [Arithmetic] [Mathematics education]...
5. Arithmetic: Arithmetic is an elementary branch of mathematics in which real numbers and relations among real numbers are studied and used to solve quantitative problems in finance, engineering, geometry (mensuration), and such fields. The basic arithmetic operations are addition, subtraction, multiplication ... [100%] 2023-10-19
6. Arithmetic: Arithmetic (from grc ἀριθμός (arithmós) 'number', and τική [τέχνη] (tikḗ [tékhnē]) 'art, craft') is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ... (Elementary branch of mathematics) [100%] 2023-10-19 [Arithmetic] [Mathematics education]...
7. Arithmetic: The science of numbers and operations on sets of numbers. Arithmetic is understood to include problems on the origin and development of the concept of a number, methods and means of calculation, the study of operations on numbers of different ... (Mathematics) [100%] 2023-10-19
8. Arithmetic: Arithmetic or arithmetics (from the Greek word αριθμός, meaning "number") is the oldest and most fundamental branch of mathematics. It is used by almost everyone, for tasks ranging from simple daily counting to advanced science and business calculations. Some have called ... [100%] 2023-02-03
9. Arithmetic function: number-theoretic function A complex-valued function, the domain of definition of which is one of the following sets: the set of natural numbers, the set of rational integers, the set of integral ideals of a given algebraic number field ... (Mathematics) [70%] 2023-11-04
10. Arithmetic surface: In mathematics, an arithmetic surface over a Dedekind domain R with fraction field \displaystyle{ K }[/math] is a geometric object having one conventional dimension, and one other dimension provided by the infinitude of the primes. When R is the ring ... [70%] 2023-09-15 [Diophantine geometry] [Surfaces]...
11. Arithmetic function: In number theory, an arithmetic, arithmetical, or number-theoretic function is for most authors any function f(n) whose domain is the positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their definition ... (Function whose domain is the positive integers) [70%] 2023-09-15 [Arithmetic functions] [Functions and mappings]...
12. Arithmetic genus: A numerical invariant of algebraic varieties (cf. Algebraic variety). (Mathematics) [70%] 2023-10-19
13. Arithmetic geometry: In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. (Branch of algebraic geometry focused on problems in number theory) [70%] 2023-09-15 [Arithmetic geometry] [Fields of mathematics]...
14. Arithmetic number: An integer for which the arithmetic mean of its positive divisors, is an integer. The first numbers in the sequence are $$1, 3, 5, 6, 7, 11, 13, 14, 15, 17, 19, 20, \ldots$$ which is OEIS sequence A003601. (Mathematics) [70%] 2023-10-29
15. Arithmetic group: In mathematics, an arithmetic group is a group obtained as the integer points of an algebraic group, for example \displaystyle{ \mathrm{SL}_2(\Z). }[/math] They arise naturally in the study of arithmetic properties of quadratic forms and other classical ... [70%] 2023-09-15 [Algebraic groups] [Group theory]...
16. Arithmetic number: In number theory, an arithmetic number is an integer for which the average of its positive divisors is also an integer. For instance, 6 is an arithmetic number because the average of its divisors is which is also an integer. [70%] 2023-11-13 [Divisor function] [Integer sequences]...
17. Arithmetic underflow: The term arithmetic underflow (also floating point underflow, or just underflow) is a condition in a computer program where the result of a calculation is a number of more precise absolute value than the computer can actually represent in memory ... [70%] 2024-01-13 [Computer arithmetic]
18. Arithmetic variety: In mathematics, an arithmetic variety is the quotient space of a Hermitian symmetric space by an arithmetic subgroup of the associated algebraic Lie group. Kazhdan's theorem says the following: Kazhdan's theorem — If X is an arithmetic variety, then ... [70%] 2023-12-23 [Arithmetic geometry]
19. Arithmetic group: A subgroup $H$ of a linear algebraic group $G$ defined over the field $\mathbb{Q}$ of rational numbers, that satisfies the following condition: There exists a faithful rational representation $\rho : G \rightarrow \mathrm{GL}_n$ defined over $\mathbb{Q}$ (cf ... (Mathematics) [70%] 2023-09-20
20. Arithmetic genus: In mathematics, the arithmetic genus of an algebraic variety is one of a few possible generalizations of the genus of an algebraic curve or Riemann surface. Let X be a projective scheme of dimension r over a field k, the ... [70%] 2023-09-15 [Topological methods of algebraic geometry]
21. Arithmetic Operations: There are four (4) arithmetic operations: Addition (+) , Subtraction (-) , Multiplication (*) , and Division (/). These operations can be more concretely (you can see it) with algebraic manipulatives. [70%] 2023-12-16 [Arithmetic]
22. Arithmetic series: of order $m$ The sequence of values of a polynomial of degree $m$: $$p(x)=a_0+a_1x+\dotsb+a_mx^m,$$ assumed by the polynomial when the variable $x$ takes successive integral non-negative values $x=0,1,\dotsc$. If $m ... (Mathematics) [70%] 2023-11-14
23. Arithmetic progression: arithmetic series of the first order A sequence of numbers in which each term is obtained from the term immediately preceding it by adding to the latter some fixed number $d$, which is known as the difference of this progression ... (Mathematics) [70%] 2023-12-20
24. Arithmetic function: In number theory, an arithmetic function is a function defined on the set of positive integers, usually with integer, real or complex values. Arithmetic functions which have some connexion with the additive or multiplicative structure of the integers are of ... [70%] 2023-06-13
25. Arithmetic rope: The arithmetic rope, or knotted rope, was a widely used arithmetic tool in the Middle Ages that could be used to solve many mathematical and geometrical problems. An arithmetic rope generally has at least 13 knots—therefore, it is often ... [70%] 2023-09-15 [Mathematical tools] [Arithmetic]...
26. Arithmetic sequence: An arithmetic sequence (or arithmetic progression) is a (finite or infinite) sequence of (real or complex) numbers such that the difference of consecutive elements is the same for each pair. Examples for arithmetic sequences are A finite sequence or an ... [70%] 2023-06-12
27. Arithmetic root: arithmetical value of the $n$-th root of a real number $a\geq0$ A non-negative number the $n$-th power of which is equal to $a$. In considering the two real values of the $n$-th root, where $n ... (Mathematics) [70%] 2023-10-17
28. Arithmetic space: number space, coordinate space, real $ n $-space A Cartesian power $ \mathbf R ^ {n} $ of the set of real numbers $ \mathbf R $ having the structure of a linear topological space. The addition operation is here defined by the formula: $$ ( x _ ... (Mathematics) [70%] 2023-10-19
29. Finite Arithmetic: This course is still very much in the rough! This course belongs to the track Numerical Algorithms in the Department of Scientific Computing in the School of Computer Science. [70%] 2023-09-18 [Scientific computing] [Numerical Algorithms]...
30. Arithmetic topology: Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. It establishes an analogy between number fields and closed, orientable 3-manifolds. [70%] 2023-09-15 [Number theory] [3-manifolds]...
31. Elementary arithmetic: Elementary arithmetic is a branch of mathematics that deals with basic numerical operations such as addition, subtraction, multiplication, and division. Due to its low level of abstraction and its essential nature as a part of basic mathematics, elementary arithmetic is ... (Numbers and the basic operations on them) [70%] 2023-09-15 [Elementary arithmetic] [Mathematics education]...
32. Location arithmetic: Location arithmetic (Latin arithmeticae localis) is the additive (non-positional) binary numeral systems, which John Napier explored as a computation technique in his treatise Rabdology (1617), both symbolically and on a chessboard-like grid. Napier's terminology, derived from using ... (One of three devices to aid arithmetic calculation described by John Napier in a treatise) [70%] 2023-10-07 [Mathematical tools] [Arithmetic]...
33. Modular arithmetic: In mathematics, modular arithmetic (also known as remainder arithmetic) is a method for adding and multiplying that arises from the usual elementary arithmetic of whole numbers. In modular arithmetic, a special number called the modulus (plural: moduli) is chosen, and ... [70%] 2023-06-12
34. Field arithmetic: In mathematics, field arithmetic is a subject that studies the interrelations between arithmetic properties of a Template:Ql and its absolute Galois group. It is an interdisciplinary subject as it uses tools from algebraic number theory, arithmetic geometry, algebraic geometry ... [70%] 2023-10-19 [Algebra] [Galois theory]...
35. Carry (arithmetic): In elementary arithmetic, a carry is a digit that is transferred from one column of digits to another column of more significant digits. It is part of the standard algorithm to add numbers together by starting with the rightmost digits ... (Arithmetic) [70%] 2024-01-08 [Elementary arithmetic] [Computer arithmetic]...
36. Significance arithmetic: Significance arithmetic is a set of rules (sometimes called significant figure rules) for approximating the propagation of uncertainty in scientific or statistical calculations. These rules can be used to find the appropriate number of significant figures to use to represent ... [70%] 2023-12-28 [Numerical analysis] [Elementary arithmetic]...
37. Arithmetic, formal: arithmetical calculus A logico-mathematical calculus which formalizes elementary number theory. The language of the most common kind of formal arithmetic contains the constant $ 0 $, numerical variables, the equality sign, the function symbols $ + , \cdot, {} ^ \prime $( successor) and logical symbols. (Mathematics) [70%] 2023-10-19
38. Modular arithmetic: In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae ... (Computation modulo a fixed integer) [70%] 2023-11-16 [Modular arithmetic] [Finite rings]...
39. Division (arithmetic): In arithmetic, division is the operation of finding how many copies of one quantity or number are needed to make up another. This may be viewed as a process of repeated subtraction: the divisor is repeatedly subtracted from the dividend ... (Arithmetic) [70%] 2023-07-24
40. Presburger arithmetic: Presburger arithmetic is the first-order theory of the natural numbers with addition, named in honor of Mojżesz Presburger, who introduced it in 1929. The signature of Presburger arithmetic contains only the addition operation and equality, omitting the multiplication operation ... (Decidable first-order theory of the natural numbers with addition) [70%] 2023-09-15 [Formal theories of arithmetic] [Logic in computer science]...