💡 Words with a Similar Meaning to "Algebraic integer"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| algebraic numbernoun | (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers. |
| algebraic number fieldnoun | (mathematics, algebraic number theory) A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers. |
| integernoun | (arithmetic) A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}. |
| algebraic number theorynoun | (mathematics, number theory) The branch of number theory in which number-theoretic questions are expressed in terms of properties of algebraic number fields or related objects, and studied using techniques from algebra. |
| conjugatenoun | (algebra, of a complex number) A complex conjugate. |
| ideal numbernoun | (number theory) An algebraic integer that represents an ideal in the ring of integers of a number field. |
| primitive polynomialnoun | (algebra, field theory) A polynomial over a given finite field whose roots are primitive elements; especially, the minimal polynomial of a primitive element of said finite field. |
| gaussian integernoun | (algebra) Any complex number of the form a + bi, where a and b are integers. |
| minimal polynomialnoun | (field theory) Given an algebraic element α of a given extension field of some field K, the monic polynomial of smallest degree of which α is a root. |
| characteristicnoun | A distinguishing feature of a person or thing, a part of mental or physical behavior. |
| characternoun | (countable) A being involved in the action of a story; a persona. |
| quadratic integernoun | (mathematics) A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2. |
| simple rootnoun | (algebra) A root of a polynomial equation which has multiplicity one. |
| arithmetic functionnoun | (mathematical analysis) Any function that is defined for all positive integers, and has values that are either real or complex. |
| number fieldnoun | (algebra, field theory) algebraic number field |
| algebranoun | (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations. |
| algebraic functionnoun | (algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation. |
| hyperintegernoun | (mathematics, non-standard analysis) A hyperreal number equal to its own integer part. |
| whole numbernoun | (mathematics) A positive integer or zero. |
| analytic number theorynoun | (mathematics, number theory) A branch of number theory that uses methods from mathematical analysis to solve problems about the integers. |
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