arithmetic Englisch Deutsch:
arithmetic Definition:
- Arithmetic or arithmetics is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them?addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.
| Arithmetic (n.) The science of numbers |
| Arithmetic (n.) A book containing the principles of this science. |
| arithmetic operation a mathematical operation involving numbers |
| arithmetic the branch of pure mathematics dealing with the theory of numerical calculations |
| arithmetic mean / first moment / expectation expected value the sum of the values of a random variable divided by the number of values |
| arithmetic progression (mathematics) a progression in which a constant is added to each term in order to obtain the next term, "----- is the start of an arithmetic progression" |
| boolean operation / binary operation / binary arithmetic operation an operation that follows the rules of Boolean algebra, each operand and the result take one of two values |
| arithmetical / arithmetic relating to or involving arithmetic, "arithmetical computations" |
arithmetic Synonyme:
| arithmetic Boolean algebra Euclidean geometry Fourier analysis Lagrangian function algebra algebraic geometry analysis analytic geometry associative algebra binary arithmetic calculation calculus ciphering circle geometry descriptive geometry differential calculus division algebra equivalent algebras estimation figuring game theory geodesy geometry graphic algebra group theory higher algebra higher arithmetic hyperbolic geometry infinitesimal calculus integral calculus intuitional geometry invariant subalgebra inverse geometry line geometry linear algebra mathematical physics matrix algebra metageometry modular arithmetic n-tuple linear algebra natural geometry nilpotent algebra number theory plane trigonometry political arithmetic projective geometry proper subalgebra quaternian algebra reckoning reducible algebra set theory simple algebra solid geometry speculative geometry spherical trigonometry statistics subalgebra systems analysis topology trig trigonometry universal algebra universal geometry vector algebra zero algebra |
| arithmetical algebraic algorismic algorithmic aliquot analytic cardinal decimal differential digital even exponential figural figurate figurative finite fractional geometric imaginary impair impossible infinite integral irrational logarithmic logometric mathematical negative numeral numerary numerative numeric odd ordinal pair positive possible prime radical rational real reciprocal submultiple surd transcendental |