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...

and negative integers. Rational number arithmetic involves operations on fractions of integers. Real number arithmetic is about calculations with real...

analytical, and thus also not arithmetical. Every computable number is arithmetical, but not every arithmetical number is computable. For example, the...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains...

Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers...

learning disability resulting in difficulty learning or comprehending arithmetic, such as difficulty in understanding numbers, numeracy, learning how to...

Using a residue numeral system for arithmetic operations is also called multi-modular arithmetic. Multi-modular arithmetic is widely used for computation...

non-standard model of arithmetic is a model of first-order Peano arithmetic that contains non-standard numbers. The term standard model of arithmetic refers to the...

also commonly written as ln(x) or loge(x). In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose...

proof is "one that can be carried out in first-order Peano arithmetic." There are number-theoretic statements (for example, the Paris–Harrington theorem)...

perfect numbers. It is the sixtieth arithmetic number, where 60 is the second unitary perfect number (the next such number is 90). For n = 8 {\displaystyle...

as well as the 32nd nontotient number (including odd numbers > 1) the 36th arithmetic number, the 38th composite number (where the abundance of 55 = -...

mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is...

deficient number because the sum of its proper divisors (which excludes itself) is less than itself. As an integer for which the arithmetic mean average...

"serial number arithmetic" for the purposes of manipulating and comparing these sequence numbers. In short, when the absolute serial number value decreases...

arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations...

In computer programming, an arithmetic shift is a shift operator, sometimes termed a signed shift (though it is not restricted to signed operands). The...

Date incompatibility (help) Kalvesmaki, J. (2013). The Theology of Arithmetic: Number Symbolism in Platonism and Early Christianity. Center for Hellenic...

floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a significand (a signed sequence of a fixed number of digits in some...

mathematics, modular arithmetic is a system of arithmetic operations for integers, other than the usual ones from elementary arithmetic, where numbers "wrap...

In mathematics and statistics, the arithmetic mean ( /ˌærɪθˈmɛtɪk/ arr-ith-MET-ik), arithmetic average, or just the mean or average is the sum of a collection...

arithmetic Floating-point arithmetic Interval arithmetic Arbitrary-precision arithmetic Modular arithmetic Multi-modular arithmetic p-adic arithmetic...

axiomatization of natural-number arithmetic. In 1888, Richard Dedekind proposed another axiomatization of natural-number arithmetic, and in 1889, Peano published...

In number theory, the Lagarias arithmetic derivative or number derivative is a function defined for integers, based on prime factorization, by analogy...

In mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every...

finite, for each real x > 0 {\displaystyle x>0} . An additive number system is an arithmetic semigroup in which the underlying monoid G is free abelian....

integer for which the arithmetic mean of all its positive divisors (including itself) is also an integer, 54 is an arithmetic number. If the complementary...

arts, which comprised arithmetic (number in the abstract), geometry (number in space), music (number in time), and astronomy (number in space and time)....

Arithmetic dynamics is a field that amalgamates two areas of mathematics, dynamical systems and number theory. Part of the inspiration comes from complex...

following his earlier work in arithmetic geometry. According to Mochizuki, it is "an arithmetic version of Teichmüller theory for number fields equipped with an...