English-Wörter für 'of or denoted by an integer'
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adj
- of or denoted by an integer
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- existing as an essential constituent or characteristic
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
noun
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
adj
- of or relating to or being an integer that cannot be factored into other integers
- used of the first or originating agent
- being at the best stage of development
- first in rank or degree
- of superior grade
- Early; blooming; being in the first stage.
- First in excellence, quality, or value.
- First in importance, degree, or rank.
- (algebra, of a nonzero module) Such that the annihilator of any nonzero submodule is equal to the annihilator of the whole module.
- First in time, order, or sequence.
- (algebra, of an ideal) Having its complement closed under multiplication.
- Marked or distinguished by the prime symbol.
- (mathematics, technical) Such that if it divides a product, it divides one of the multiplicands.
- (mathematics, lay) Having exactly two integral factors: itself and unity (1 in the case of integers).
noun
- the period of greatest prosperity or productivity
- a natural number that has exactly two distinct natural number divisors: 1 and itself
- the second canonical hour; about 6 a.m.
- the time of maturity when power and vigor are greatest
- (Christianity) The religious service appointed to this hour.
- (historical) The first hour of daylight; the first canonical hour.
- The symbol ′ used to indicate feet, minutes, derivation and other measures and mathematical operations.
- (algebra, number theory) A prime element of a mathematical structure, particularly a prime number.
- The most active, thriving, or successful stage or period.
- A feather, from the wing of the cock ostrich, that is of the palest possible shade.
- (psychology) A stimulus which causes priming.
- The chief or best individual or part.
- An inch, as composed of twelve seconds in the duodecimal system.
- (backgammon) A series of consecutive blocks. A prime of six prevents the opponent's pieces from passing.
- (fencing) The first defensive position, with the sword hand held at head height, and the tip of the sword at head height.
- (card games) A four-card hand containing one card of each suit in the game of primero; the opposite of a flush in poker.
- Something which is first in importance or rank: a prime defense company, mortgage lender, etc.
- (film) Contraction of prime lens, a film lens.
- (cycling) An intermediate sprint within a race, usually offering a prize and/or points.
- (music) The first note or tone of a musical scale.
verb
- fill with priming liquid
- cover with a primer; apply a primer to
- insert a primer into (a gun, mine, or charge) preparatory to detonation or firing
- (mathematics) To mark with a prime mark.
- (transitive) To fill or prepare the chamber of a mechanism for its main work.
- To apply priming to (a musket or cannon); to apply a primer to (a metallic cartridge).
- (intransitive, of a steam boiler) To work so that foaming occurs from too violent ebullition, which causes water to become mixed with, and be carried along with, the steam that is formed.
- (intransitive) To serve as priming for the charge of a gun.
- To prepare; to make ready.
- (transitive) To apply a coat of primer paint to.
adj
- capable of being expressed as a quotient of integers
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- consistent with or based on or using reason
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
noun
adj
noun
- (mathematics, countable) An imaginary number.
- Imagination; fancy.
- (sociology) The set of values, institutions, laws, and symbols common to a particular social group and the corresponding society through which people imagine their social whole.
- (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
adj
noun
- a symbol used to represent a number
- a word expressing a number.
- A symbol that is not a word and represents a number, such as the Arabic numerals 1, 2, 3 or the Roman numerals I, V, X, L.
- A representation of a number composed of such symbols.
- (linguistics) A number word, a simple or compound word for a number often having particular grammatical attributes depending on the language.
- (card games) A card whose rank is a number (usually including the ace as 1).
noun
- (arithmetic) A number or expression that is to be divided by another.
- (finance) A cash payment of money by a company to its shareholders, usually made periodically (e.g., quarterly or annually).
- (figuratively) Beneficial results from a metaphorical investment (of time, effort, etc.)
- a number to be divided by another number
- a bonus; something extra (especially a share of a surplus)
- that part of the earnings of a corporation that is distributed to its shareholders; usually paid quarterly
verb
noun
- (arithmetic, set theory) The integer, ordinal number or cardinal number immediately following another.
- A person who inherits a title or office.
- A person or thing that immediately follows another in holding an office or title.
- The next heir in order or succession.
- a person who follows next in order
- a thing or person that immediately replaces something or someone
- a person who inherits some title or office
noun
- (arithmetic) The number (either a fraction or an integer) resulting from the division of one number by another.
- (mathematics) By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
- (cricket) The number of runs scored per wicket lost when batting, divided by the number of runs conceded per wicket taken when bowling — used as a league table tiebreaker in some first-class tournaments.
- (mathematics, group theory) A mathematical structure formed by identifying elements within a larger one.
- the ratio of two quantities to be divided
- the number obtained by division
verb
adj
- (mathematics, not comparable) Of an integer, divisible by two.
- (colloquial) On equal terms of a moral sort; quits.
- Equal in proportion, quantity, size, etc.
- Parallel; on a level; reaching the same limit.
- (informal) Of a number, convenient for rounding other numbers to; for example, ending in a zero.
- On equal monetary terms; neither owing nor being owed.
- Flat and level.
- Without great variation.
- being level or straight or regular and without variation as e.g. in shape or texture; or being in the same plane or at the same height as something else (i.e. even with)
- symmetrically arranged
- equal in degree or extent or amount; or equally matched or balanced
- divisible by two
- of the score in a contest
- occurring at fixed intervals
adv
- Used to emphasise a comparative.
- Used to indicate a further degree of comparison.
- Rather; that is (used to signal a correction of a previous utterance).
- In reality (used to imply an extreme example in the case mentioned).
- to a greater degree or extent; used with comparisons
- to the full extent
- used as an intensive especially to indicate something unexpected
- in spite of; notwithstanding
noun
verb
noun
- (arithmetic) A quantity obtained by multiplication of two or more numbers.
- A consequence of someone's efforts or of a particular set of circumstances.
- Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
- (countable, uncountable) A commodity offered for sale.
- The amount of an artifact that has been created by someone or some process.
- (chemistry) A chemical substance formed as a result of a chemical reaction.
- (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
- (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
- (cosmetics, uncountable) Ellipsis of beauty product: any preparation to be applied to the hair, skin, nails, etc. Often specifically a preparation used to hold one's hair in a desired arrangement.
- Anything that is produced; a result.
- a consequence of someone's efforts or of a particular set of circumstances
- a quantity obtained by multiplication
- items for sale to the individual consumer
- a chemical substance formed as a result of a chemical reaction
- an artifact that has been created by someone or some process
- the set of ordered pairs of two given sets
noun
adj
suffix
- (mathematics) Used to form a term denoting the ordinal numeral corresponding to the value, being a natural number, of a mathematical expression.
- (no longer productive except in informal coinages) Used to form nouns of quality from adjectives.
- (no longer productive) Used to form nouns from verbs of action.
- Used to form the denominator of a fraction.
- Used to form the ordinal numeral when the final term of the spelled number is not “first”, “second”, or “third”.
noun
- (arithmetic) Of a number or expression, a number which, when raised to a specified power, yields the specified number or expression.
- (slang) A penis, especially the base of a penis.
- The part of a plant, generally underground, that anchors and supports the plant body, absorbs and stores water and nutrients, and in some plants is able to perform vegetative reproduction.
- (computing) The highest directory of a directory structure which may contain both files and subdirectories.
- (Australia, New Zealand, vulgar, slang) An act of sexual intercourse.
- (aviation) The section of a wing immediately adjacent to the fuselage.
- (mathematical analysis) A zero (of an equation).
- (music) The fundamental tone of any chord; the tone from whose harmonics, or overtones, a chord is composed.
- (arithmetic) A square root (understood if no power is specified; in which case, "the root of" is often abbreviated to "root").
- The part of a hair near the skin that has not been dyed, permed, or otherwise treated.
- (figurative) The primary source; origin.
- (graph theory, computing) The single node of a tree that has no parent.
- (engineering) The bottom of the thread of a threaded object.
- (computing) In UNIX terminology, the first user account with complete access to the operating system and its configuration, found at the root of the directory structure; the person who manages accounts on a UNIX system.
- The part of a tooth extending into the bone holding the tooth in place.
- An act of rummaging or searching.
- (Australia, New Zealand, vulgar, slang) A sexual partner.
- A root vegetable.
- (linguistic morphology) The primary lexical unit of a word, which carries the most significant aspects of semantic content and cannot be reduced into smaller constituents. Inflectional stems often derive from roots.
- (linguistics) A word from which another word or words are derived.
- The part of a hair under the skin that holds the hair in place.
- The lowest place, position, or part.
- a number that, when multiplied by itself some number of times, equals a given number
- the place where something begins, where it springs into being
- (botany) the usually underground organ that lacks buds or leaves or nodes; absorbs water and mineral salts; usually it anchors the plant to the ground
- a simple form inferred as the common basis from which related words in several languages can be derived by linguistic processes
- the set of values that give a true statement when substituted into an equation
- (linguistics) the form of a word after all affixes are removed
- the embedded part of a bodily structure such as a tooth, nail, or hair
- someone from whom you are descended (but usually more remote than a grandparent)
verb
- To fix firmly; to establish.
- (by extension) To seek favour or advancement by low arts or grovelling servility; to fawn.
- To grow roots; to enter the earth, as roots; to take root and begin to grow.
- (intransitive, with "for" or "on", US) To cheer (on); to show support (for) and hope for the success of. (See root for.)
- (transitive) To root out; to abolish.
- (intransitive) To rummage; to search as if by digging in soil.
- (computing slang, transitive) To get root or privileged access on (a computer system or mobile phone), often through bypassing some security mechanism.
- (Australia, New Zealand, Ireland, vulgar, slang) To sexually penetrate.
- (intransitive) Of a baby: to turn the head and open the mouth in search of food.
- (ambitransitive) To turn up or dig with the snout.
- (equestrianism, of a horse) To tug or pull at the reins aggressively by driving the head downwards while wearing a bit.
- To prepare, oversee, or otherwise cause the rooting of cuttings.
- cheer for
- become settled or established and stable in one's residence or life style
- come into existence, originate
- cause to take roots
- take root and begin to grow
- plant by the roots
- dig with the snout
adj
- (mathematics, of two integers) having no common integer divisor except 1.
- Not able to be measured by the same standards as another term in the context.
- (mathematics, of two real numbers) having a ratio that is not expressible as a fraction of two integers.
- impossible to measure or compare in value or size or excellence
- not having a common factor
noun
noun
- (mathematics, number theory) A compound numerical expression consisting of an integer plus a fraction whose numerator is a positive integer and whose denominator is a continued fraction (an integer plus a fraction), and so on, with finite or infinite recursion.
- a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
adj
noun
- (mathematics, specifically) A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1.
- (mathematics) An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such "false primes" very rare.
adj
noun
adj
- Relating to an exponent.
- (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
- (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
- (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
- of or involving exponents
noun
noun
- (countable) A numeral: a symbol for a non-negative integer.
- (slang, chiefly US) A marijuana cigarette, or joint; also, a quantity of marijuana bought from a dealer.
- (countable) A performance; especially, a single song or song and dance routine within a larger show.
- (countable, informal) An outfit, particularly a stylish one.
- (Followed by a numeral; used attributively) Indicating the position of something in a list or sequence. Abbreviations: No or No., no or no. (in each case, sometimes written with a superscript "o", like Nº or №). The symbol "#" is also used in this manner.
- (countable, informal) A person.
- (singular only, formal) A group of people.
- (countable, informal) A telephone number.
- Quantity.
- (countable, mathematics) An element of one of several sets: natural numbers, integers, rational numbers, real numbers, complex numbers, and sometimes extensions such as hypercomplex numbers, etc.
- (grammar) Of a word or phrase, the state of being singular, dual or plural, shown by inflection.
- (countable) An abstract entity used to describe quantity.
- A large amount, in contrast to a smaller amount; numerical preponderance.
- Something that numbs.
- A sequence of digits and letters used to register people, automobiles, and various other items.
- An activity; assignment; job, as in cushy number.
- a clothing measurement
- a select company of people
- a symbol used to represent a number
- a concept of quantity involving zero and units
- a short performance that is part of a longer program
- an item of clothing
- the number is used in calling a particular telephone
- one of a series published periodically
- the property possessed by a sum or total or indefinite quantity of units or individuals
- a numeral or string of numerals that is used for identification and may be attached to accounts, memberships, etc.
- a numbered item in a series
- the grammatical category for the forms of nouns and pronouns and verbs that are used depending on the number of entities involved (singular or dual or plural)
adj
verb
- (transitive, usually with among) To classify or include (in a group of things)
- (transitive, with off) To enumerate or list, especially while assigning numbers to.
- (transitive, passive voice) To limit to a certain number; to reckon (as by fate) to be few in number.
- (intransitive, usually with among) To be classified or included (in a certain group or category of things).
- (transitive) To label (items) with numbers; to assign numbers to (items).
- (intransitive) To total or count; to amount to.
- (transitive, with off) To call out and assign a series of numbers (usually to people), either for the sake of dividing into groups or for counting.
- place a limit on the number of
- put into a group
- give numbers to
- determine the number or amount of
- add up in number or quantity
- enumerate
noun
- (mathematics) The smallest integer greater than or equal to a given number.
- (nautical) The inner planking of a vessel.
- The upper limit of an object or action.
- The overhead closure of a room.
- (finance) The maximum permitted level in a financial transaction.
- (aviation) The highest altitude at which an aircraft can safely maintain flight.
- (meteorology) The measurement of visible distance from ground or sea level to an overcast cloud cover; under a clear sky, the ceiling measurement is identified as "unlimited."
- (architecture) The overhead interior surface that covers the upper limits of a room.
- (meteorology) altitude of the lowest layer of clouds
- maximum altitude at which a plane can fly (under specified conditions)
- an upper limit on what is allowed
- the overhead upper surface of a covered space
verb
noun
- (mathematics) The arithmetic mean.
- (statistics) Any measure of central tendency, especially any mean, the median, or the mode.
- (law, marine) Financial loss due to damage to transported goods; compensation for damage or loss.
- (sports) An indication of a player's ability calculated from his scoring record, etc.
- an intermediate scale value regarded as normal or usual
- (sports) the ratio of successful performances to opportunities
- a statistic describing the location of a distribution
adj
- (not comparable) Constituting or relating to the average.
- (informal) Not outstanding, not good, banal; bad or poor.
- Typical.
- Neither very good nor very bad; rated somewhere in the middle of all others in the same category.
- lacking special distinction, rank, or status; commonly encountered
- relating to or constituting the most frequent value in a distribution
- approximating the statistical norm or average or expected value
- around the middle of a scale of evaluation
- lacking exceptional quality or ability
- relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values)
verb
- (transitive) To divide among a number, according to a given proportion.
- (transitive) Over a period of time or across members of a population, to have or generate a mean value of.
- (transitive) To compute the average of, especially the arithmetic mean.
- (intransitive) To be, generally or on average.
- compute the average of
- achieve or reach on average
- amount to or come to an average, without loss or gain
noun
- the product of a quantity by an integer
- More than one piercing in a single ear.
- A chain store.
- (finance) Price-earnings ratio.
- One of a set of siblings produced by a multiple birth.
- One of a set of the same thing; a duplicate.
- (mathematics) A whole number that is obtained by multiplying a specific whole number by another whole number.
- A discovery resulting from the work of many people throughout history, not merely the work of the person who makes the final connection.
- (multiplicity) A single individual who displays or experiences multiple personalities or selves.
adj
- having or involving or consisting of more than one part or entity or individual
- (multiplicity) Of a person: displaying or experiencing two or more distinct personalities or selves in one body.
- Having more than one element, part, component, or function, having more than one instance, occurring more than once, usually contrary to expectations (can be followed by a singular).
det
adj
- Of, or relating to mathematics
- (figuratively) Extremely precise and accurate, as though having the exactness of a mathematical equation.
- Possible but highly improbable
- statistically possible though highly improbable
- of or pertaining to or of the nature of mathematics
- characterized by the exactness or precision of mathematics
- relating to or having ability to think in or work with numbers
- beyond question
prep_phrase
noun
- (mathematics) A number raised to the power of an exponent.
- (electronics) The name of the controlling terminal of a bipolar transistor (BJT).
- (acrobatics, cheerleading) In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- The starting point of a logical deduction or thought; basis.
- (architecture) The lowermost part of a column, between the shaft and the pedestal or pavement.
- (group theory) A sequence of elements not jointly stabilized by any nontrivial group element.
- (topology) The set of sets from which a topology is generated.
- (heraldry) The lowest third of a shield (or field), or an ordinary occupying this space, the champagne. (Compare terrace.)
- The place where decisions for an organization are made; headquarters.
- (cooking, painting, pharmacy) A basic but essential component or ingredient.
- A line in a survey which, being accurately determined in length and position, serves as the origin from which to compute the distances and positions of any points or objects connected with it by a system of triangles.
- (chemistry) Any of a class of generally water-soluble compounds that turn red litmus blue and react with acids to form salts.
- (aviation) Ellipsis of base leg.
- A site, structure, or both, usually durable and often permanent, for housing military personnel and materiel.
- (botany) The end of a leaf, petal or similar organ where it is attached to its support.
- (topology) A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- (military, historical) The smallest kind of cannon.
- (historical, sometimes in the plural) A kind of skirt (often of velvet or brocade) which hung from the middle to about the knees, or lower.
- (biology, biochemistry) A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- (historical, sometimes in the plural) A kind of armour skirt, of mail or plate, imitating the preceding civilian skirt.
- A safe zone in the children's games of tag and hide-and-go-seek.
- (slang, uncountable) freebase cocaine
- (cosmetics) Foundation: a cosmetic cream to make the face appear uniform.
- (geometry) The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (linguistics) A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- (politics) A group of voters who almost always support a single party's candidates for elected office.
- Something from which other things extend; a foundation.
- (baseball) One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
- (mathematics) Synonym of radix.
- A material that holds paint or other materials together; a binder.
- A supporting, lower or bottom component of a structure or object.
- Alternative form of BASE.
- (now chiefly US, historical) The game of prisoners' bars.
- (Marxism) The forces and relations of production that produce the necessities and amenities of life.
- A substance used as a mordant in dyeing.
- lowest support of a structure
- (electronics) the part of a transistor that separates the emitter from the collector
- the fundamental assumptions from which something is begun or developed or calculated or explained
- the place where you are stationed and from which missions start and end
- (numeration system) the positive integer that is equivalent to one in the next higher counting place
- a phosphoric ester of a nucleoside; the basic structural unit of nucleic acids (DNA or RNA)
- the stock of basic facilities and capital equipment needed for the functioning of a country or area
- the bottom or lowest part
- a place that the runner must touch before scoring
- a support or foundation
- the principal ingredient of a mixture
- any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water
- installation from which a military force initiates operations
- (linguistics) the form of a word after all affixes are removed
- a lower limit
- the most important or necessary part of something
- (anatomy) the part of an organ nearest its point of attachment
- the bottom side of a geometric figure from which the altitude can be constructed
- a flat bottom on which something is intended to sit
adj
- Not classical or correct.
- Morally reprehensible, immoral; cowardly.
- Low in place or position.
- Alloyed with inferior metal; debased.
- (law) Relating to feudal land tenure held by a tenant from a lord in exchange for services that are seen as unworthy for noblemen to perform, such as villeinage.
- (of a metal) Not considered precious or noble.
- (used of metals) consisting of or alloyed with inferior metal
- of low birth or station (‘base’ is archaic in this sense)
- illegitimate
- serving as or forming a base
- not adhering to ethical or moral principles
- debased; not genuine
- having or showing an ignoble lack of honor or morality
verb
- (transitive) To give as its foundation or starting point; to lay the foundation of.
- (slang) To freebase.
- (acrobatics, cheerleading) To act as a base; to be the person supporting the flyer.
- (transitive) To be located (at a particular place).
- situate as a center of operations
- use (purified cocaine) by burning it and inhaling the fumes
- use as a basis for; found on
noun
- an integer that is an exact divisor of some quantity
- (chemistry, biotechnology, loosely) A portion of a total amount (of some substance or a sample or specimen thereof, usually a solution or suspension).
- (chemistry, biotechnology, strictly) Such a portion that divides evenly into the total with no remainder.
adj
verb
prefix
noun
- (arithmetic) A number or expression that is to be divided by another.
- (finance) A cash payment of money by a company to its shareholders, usually made periodically (e.g., quarterly or annually).
- (figuratively) Beneficial results from a metaphorical investment (of time, effort, etc.)
- a number to be divided by another number
- a bonus; something extra (especially a share of a surplus)
- that part of the earnings of a corporation that is distributed to its shareholders; usually paid quarterly
verb
adj
- capable of being expressed as a quotient of integers
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- consistent with or based on or using reason
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
noun
noun
- (arithmetic, set theory) The integer, ordinal number or cardinal number immediately following another.
- A person who inherits a title or office.
- A person or thing that immediately follows another in holding an office or title.
- The next heir in order or succession.
- a person who follows next in order
- a thing or person that immediately replaces something or someone
- a person who inherits some title or office
noun
- (arithmetic) The number (either a fraction or an integer) resulting from the division of one number by another.
- (mathematics) By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
- (cricket) The number of runs scored per wicket lost when batting, divided by the number of runs conceded per wicket taken when bowling — used as a league table tiebreaker in some first-class tournaments.
- (mathematics, group theory) A mathematical structure formed by identifying elements within a larger one.
- the ratio of two quantities to be divided
- the number obtained by division
verb
noun
- (arithmetic) A quantity obtained by multiplication of two or more numbers.
- A consequence of someone's efforts or of a particular set of circumstances.
- Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
- (countable, uncountable) A commodity offered for sale.
- The amount of an artifact that has been created by someone or some process.
- (chemistry) A chemical substance formed as a result of a chemical reaction.
- (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
- (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
- (cosmetics, uncountable) Ellipsis of beauty product: any preparation to be applied to the hair, skin, nails, etc. Often specifically a preparation used to hold one's hair in a desired arrangement.
- Anything that is produced; a result.
- a consequence of someone's efforts or of a particular set of circumstances
- a quantity obtained by multiplication
- items for sale to the individual consumer
- a chemical substance formed as a result of a chemical reaction
- an artifact that has been created by someone or some process
- the set of ordered pairs of two given sets
noun
adj
noun
- (arithmetic) Of a number or expression, a number which, when raised to a specified power, yields the specified number or expression.
- (slang) A penis, especially the base of a penis.
- The part of a plant, generally underground, that anchors and supports the plant body, absorbs and stores water and nutrients, and in some plants is able to perform vegetative reproduction.
- (computing) The highest directory of a directory structure which may contain both files and subdirectories.
- (Australia, New Zealand, vulgar, slang) An act of sexual intercourse.
- (aviation) The section of a wing immediately adjacent to the fuselage.
- (mathematical analysis) A zero (of an equation).
- (music) The fundamental tone of any chord; the tone from whose harmonics, or overtones, a chord is composed.
- (arithmetic) A square root (understood if no power is specified; in which case, "the root of" is often abbreviated to "root").
- The part of a hair near the skin that has not been dyed, permed, or otherwise treated.
- (figurative) The primary source; origin.
- (graph theory, computing) The single node of a tree that has no parent.
- (engineering) The bottom of the thread of a threaded object.
- (computing) In UNIX terminology, the first user account with complete access to the operating system and its configuration, found at the root of the directory structure; the person who manages accounts on a UNIX system.
- The part of a tooth extending into the bone holding the tooth in place.
- An act of rummaging or searching.
- (Australia, New Zealand, vulgar, slang) A sexual partner.
- A root vegetable.
- (linguistic morphology) The primary lexical unit of a word, which carries the most significant aspects of semantic content and cannot be reduced into smaller constituents. Inflectional stems often derive from roots.
- (linguistics) A word from which another word or words are derived.
- The part of a hair under the skin that holds the hair in place.
- The lowest place, position, or part.
- a number that, when multiplied by itself some number of times, equals a given number
- the place where something begins, where it springs into being
- (botany) the usually underground organ that lacks buds or leaves or nodes; absorbs water and mineral salts; usually it anchors the plant to the ground
- a simple form inferred as the common basis from which related words in several languages can be derived by linguistic processes
- the set of values that give a true statement when substituted into an equation
- (linguistics) the form of a word after all affixes are removed
- the embedded part of a bodily structure such as a tooth, nail, or hair
- someone from whom you are descended (but usually more remote than a grandparent)
verb
- To fix firmly; to establish.
- (by extension) To seek favour or advancement by low arts or grovelling servility; to fawn.
- To grow roots; to enter the earth, as roots; to take root and begin to grow.
- (intransitive, with "for" or "on", US) To cheer (on); to show support (for) and hope for the success of. (See root for.)
- (transitive) To root out; to abolish.
- (intransitive) To rummage; to search as if by digging in soil.
- (computing slang, transitive) To get root or privileged access on (a computer system or mobile phone), often through bypassing some security mechanism.
- (Australia, New Zealand, Ireland, vulgar, slang) To sexually penetrate.
- (intransitive) Of a baby: to turn the head and open the mouth in search of food.
- (ambitransitive) To turn up or dig with the snout.
- (equestrianism, of a horse) To tug or pull at the reins aggressively by driving the head downwards while wearing a bit.
- To prepare, oversee, or otherwise cause the rooting of cuttings.
- cheer for
- become settled or established and stable in one's residence or life style
- come into existence, originate
- cause to take roots
- take root and begin to grow
- plant by the roots
- dig with the snout
noun
- (mathematics, number theory) A compound numerical expression consisting of an integer plus a fraction whose numerator is a positive integer and whose denominator is a continued fraction (an integer plus a fraction), and so on, with finite or infinite recursion.
- a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
noun
- (countable) A numeral: a symbol for a non-negative integer.
- (slang, chiefly US) A marijuana cigarette, or joint; also, a quantity of marijuana bought from a dealer.
- (countable) A performance; especially, a single song or song and dance routine within a larger show.
- (countable, informal) An outfit, particularly a stylish one.
- (Followed by a numeral; used attributively) Indicating the position of something in a list or sequence. Abbreviations: No or No., no or no. (in each case, sometimes written with a superscript "o", like Nº or №). The symbol "#" is also used in this manner.
- (countable, informal) A person.
- (singular only, formal) A group of people.
- (countable, informal) A telephone number.
- Quantity.
- (countable, mathematics) An element of one of several sets: natural numbers, integers, rational numbers, real numbers, complex numbers, and sometimes extensions such as hypercomplex numbers, etc.
- (grammar) Of a word or phrase, the state of being singular, dual or plural, shown by inflection.
- (countable) An abstract entity used to describe quantity.
- A large amount, in contrast to a smaller amount; numerical preponderance.
- Something that numbs.
- A sequence of digits and letters used to register people, automobiles, and various other items.
- An activity; assignment; job, as in cushy number.
- a clothing measurement
- a select company of people
- a symbol used to represent a number
- a concept of quantity involving zero and units
- a short performance that is part of a longer program
- an item of clothing
- the number is used in calling a particular telephone
- one of a series published periodically
- the property possessed by a sum or total or indefinite quantity of units or individuals
- a numeral or string of numerals that is used for identification and may be attached to accounts, memberships, etc.
- a numbered item in a series
- the grammatical category for the forms of nouns and pronouns and verbs that are used depending on the number of entities involved (singular or dual or plural)
adj
verb
- (transitive, usually with among) To classify or include (in a group of things)
- (transitive, with off) To enumerate or list, especially while assigning numbers to.
- (transitive, passive voice) To limit to a certain number; to reckon (as by fate) to be few in number.
- (intransitive, usually with among) To be classified or included (in a certain group or category of things).
- (transitive) To label (items) with numbers; to assign numbers to (items).
- (intransitive) To total or count; to amount to.
- (transitive, with off) To call out and assign a series of numbers (usually to people), either for the sake of dividing into groups or for counting.
- place a limit on the number of
- put into a group
- give numbers to
- determine the number or amount of
- add up in number or quantity
- enumerate
noun
- (mathematics) The smallest integer greater than or equal to a given number.
- (nautical) The inner planking of a vessel.
- The upper limit of an object or action.
- The overhead closure of a room.
- (finance) The maximum permitted level in a financial transaction.
- (aviation) The highest altitude at which an aircraft can safely maintain flight.
- (meteorology) The measurement of visible distance from ground or sea level to an overcast cloud cover; under a clear sky, the ceiling measurement is identified as "unlimited."
- (architecture) The overhead interior surface that covers the upper limits of a room.
- (meteorology) altitude of the lowest layer of clouds
- maximum altitude at which a plane can fly (under specified conditions)
- an upper limit on what is allowed
- the overhead upper surface of a covered space
verb
noun
- (mathematics) The arithmetic mean.
- (statistics) Any measure of central tendency, especially any mean, the median, or the mode.
- (law, marine) Financial loss due to damage to transported goods; compensation for damage or loss.
- (sports) An indication of a player's ability calculated from his scoring record, etc.
- an intermediate scale value regarded as normal or usual
- (sports) the ratio of successful performances to opportunities
- a statistic describing the location of a distribution
adj
- (not comparable) Constituting or relating to the average.
- (informal) Not outstanding, not good, banal; bad or poor.
- Typical.
- Neither very good nor very bad; rated somewhere in the middle of all others in the same category.
- lacking special distinction, rank, or status; commonly encountered
- relating to or constituting the most frequent value in a distribution
- approximating the statistical norm or average or expected value
- around the middle of a scale of evaluation
- lacking exceptional quality or ability
- relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values)
verb
- (transitive) To divide among a number, according to a given proportion.
- (transitive) Over a period of time or across members of a population, to have or generate a mean value of.
- (transitive) To compute the average of, especially the arithmetic mean.
- (intransitive) To be, generally or on average.
- compute the average of
- achieve or reach on average
- amount to or come to an average, without loss or gain
noun
- the product of a quantity by an integer
- More than one piercing in a single ear.
- A chain store.
- (finance) Price-earnings ratio.
- One of a set of siblings produced by a multiple birth.
- One of a set of the same thing; a duplicate.
- (mathematics) A whole number that is obtained by multiplying a specific whole number by another whole number.
- A discovery resulting from the work of many people throughout history, not merely the work of the person who makes the final connection.
- (multiplicity) A single individual who displays or experiences multiple personalities or selves.
adj
- having or involving or consisting of more than one part or entity or individual
- (multiplicity) Of a person: displaying or experiencing two or more distinct personalities or selves in one body.
- Having more than one element, part, component, or function, having more than one instance, occurring more than once, usually contrary to expectations (can be followed by a singular).
det
noun
- (mathematics) A number raised to the power of an exponent.
- (electronics) The name of the controlling terminal of a bipolar transistor (BJT).
- (acrobatics, cheerleading) In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- The starting point of a logical deduction or thought; basis.
- (architecture) The lowermost part of a column, between the shaft and the pedestal or pavement.
- (group theory) A sequence of elements not jointly stabilized by any nontrivial group element.
- (topology) The set of sets from which a topology is generated.
- (heraldry) The lowest third of a shield (or field), or an ordinary occupying this space, the champagne. (Compare terrace.)
- The place where decisions for an organization are made; headquarters.
- (cooking, painting, pharmacy) A basic but essential component or ingredient.
- A line in a survey which, being accurately determined in length and position, serves as the origin from which to compute the distances and positions of any points or objects connected with it by a system of triangles.
- (chemistry) Any of a class of generally water-soluble compounds that turn red litmus blue and react with acids to form salts.
- (aviation) Ellipsis of base leg.
- A site, structure, or both, usually durable and often permanent, for housing military personnel and materiel.
- (botany) The end of a leaf, petal or similar organ where it is attached to its support.
- (topology) A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- (military, historical) The smallest kind of cannon.
- (historical, sometimes in the plural) A kind of skirt (often of velvet or brocade) which hung from the middle to about the knees, or lower.
- (biology, biochemistry) A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- (historical, sometimes in the plural) A kind of armour skirt, of mail or plate, imitating the preceding civilian skirt.
- A safe zone in the children's games of tag and hide-and-go-seek.
- (slang, uncountable) freebase cocaine
- (cosmetics) Foundation: a cosmetic cream to make the face appear uniform.
- (geometry) The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- (linguistics) A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- (politics) A group of voters who almost always support a single party's candidates for elected office.
- Something from which other things extend; a foundation.
- (baseball) One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
- (mathematics) Synonym of radix.
- A material that holds paint or other materials together; a binder.
- A supporting, lower or bottom component of a structure or object.
- Alternative form of BASE.
- (now chiefly US, historical) The game of prisoners' bars.
- (Marxism) The forces and relations of production that produce the necessities and amenities of life.
- A substance used as a mordant in dyeing.
- lowest support of a structure
- (electronics) the part of a transistor that separates the emitter from the collector
- the fundamental assumptions from which something is begun or developed or calculated or explained
- the place where you are stationed and from which missions start and end
- (numeration system) the positive integer that is equivalent to one in the next higher counting place
- a phosphoric ester of a nucleoside; the basic structural unit of nucleic acids (DNA or RNA)
- the stock of basic facilities and capital equipment needed for the functioning of a country or area
- the bottom or lowest part
- a place that the runner must touch before scoring
- a support or foundation
- the principal ingredient of a mixture
- any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water
- installation from which a military force initiates operations
- (linguistics) the form of a word after all affixes are removed
- a lower limit
- the most important or necessary part of something
- (anatomy) the part of an organ nearest its point of attachment
- the bottom side of a geometric figure from which the altitude can be constructed
- a flat bottom on which something is intended to sit
adj
- Not classical or correct.
- Morally reprehensible, immoral; cowardly.
- Low in place or position.
- Alloyed with inferior metal; debased.
- (law) Relating to feudal land tenure held by a tenant from a lord in exchange for services that are seen as unworthy for noblemen to perform, such as villeinage.
- (of a metal) Not considered precious or noble.
- (used of metals) consisting of or alloyed with inferior metal
- of low birth or station (‘base’ is archaic in this sense)
- illegitimate
- serving as or forming a base
- not adhering to ethical or moral principles
- debased; not genuine
- having or showing an ignoble lack of honor or morality
verb
- (transitive) To give as its foundation or starting point; to lay the foundation of.
- (slang) To freebase.
- (acrobatics, cheerleading) To act as a base; to be the person supporting the flyer.
- (transitive) To be located (at a particular place).
- situate as a center of operations
- use (purified cocaine) by burning it and inhaling the fumes
- use as a basis for; found on
noun
- an integer that is an exact divisor of some quantity
- (chemistry, biotechnology, loosely) A portion of a total amount (of some substance or a sample or specimen thereof, usually a solution or suspension).
- (chemistry, biotechnology, strictly) Such a portion that divides evenly into the total with no remainder.
adj
verb
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adj
- of or denoted by an integer
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- existing as an essential constituent or characteristic
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
noun
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
adj
- of or relating to or being an integer that cannot be factored into other integers
- used of the first or originating agent
- being at the best stage of development
- first in rank or degree
- of superior grade
- Early; blooming; being in the first stage.
- First in excellence, quality, or value.
- First in importance, degree, or rank.
- (algebra, of a nonzero module) Such that the annihilator of any nonzero submodule is equal to the annihilator of the whole module.
- First in time, order, or sequence.
- (algebra, of an ideal) Having its complement closed under multiplication.
- Marked or distinguished by the prime symbol.
- (mathematics, technical) Such that if it divides a product, it divides one of the multiplicands.
- (mathematics, lay) Having exactly two integral factors: itself and unity (1 in the case of integers).
noun
- the period of greatest prosperity or productivity
- a natural number that has exactly two distinct natural number divisors: 1 and itself
- the second canonical hour; about 6 a.m.
- the time of maturity when power and vigor are greatest
- (Christianity) The religious service appointed to this hour.
- (historical) The first hour of daylight; the first canonical hour.
- The symbol ′ used to indicate feet, minutes, derivation and other measures and mathematical operations.
- (algebra, number theory) A prime element of a mathematical structure, particularly a prime number.
- The most active, thriving, or successful stage or period.
- A feather, from the wing of the cock ostrich, that is of the palest possible shade.
- (psychology) A stimulus which causes priming.
- The chief or best individual or part.
- An inch, as composed of twelve seconds in the duodecimal system.
- (backgammon) A series of consecutive blocks. A prime of six prevents the opponent's pieces from passing.
- (fencing) The first defensive position, with the sword hand held at head height, and the tip of the sword at head height.
- (card games) A four-card hand containing one card of each suit in the game of primero; the opposite of a flush in poker.
- Something which is first in importance or rank: a prime defense company, mortgage lender, etc.
- (film) Contraction of prime lens, a film lens.
- (cycling) An intermediate sprint within a race, usually offering a prize and/or points.
- (music) The first note or tone of a musical scale.
verb
- fill with priming liquid
- cover with a primer; apply a primer to
- insert a primer into (a gun, mine, or charge) preparatory to detonation or firing
- (mathematics) To mark with a prime mark.
- (transitive) To fill or prepare the chamber of a mechanism for its main work.
- To apply priming to (a musket or cannon); to apply a primer to (a metallic cartridge).
- (intransitive, of a steam boiler) To work so that foaming occurs from too violent ebullition, which causes water to become mixed with, and be carried along with, the steam that is formed.
- (intransitive) To serve as priming for the charge of a gun.
- To prepare; to make ready.
- (transitive) To apply a coat of primer paint to.
adj
- capable of being expressed as a quotient of integers
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- consistent with or based on or using reason
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
noun
adj
noun
- (mathematics, countable) An imaginary number.
- Imagination; fancy.
- (sociology) The set of values, institutions, laws, and symbols common to a particular social group and the corresponding society through which people imagine their social whole.
- (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
adj
noun
- a symbol used to represent a number
- a word expressing a number.
- A symbol that is not a word and represents a number, such as the Arabic numerals 1, 2, 3 or the Roman numerals I, V, X, L.
- A representation of a number composed of such symbols.
- (linguistics) A number word, a simple or compound word for a number often having particular grammatical attributes depending on the language.
- (card games) A card whose rank is a number (usually including the ace as 1).
adj
- (mathematics, not comparable) Of an integer, divisible by two.
- (colloquial) On equal terms of a moral sort; quits.
- Equal in proportion, quantity, size, etc.
- Parallel; on a level; reaching the same limit.
- (informal) Of a number, convenient for rounding other numbers to; for example, ending in a zero.
- On equal monetary terms; neither owing nor being owed.
- Flat and level.
- Without great variation.
- being level or straight or regular and without variation as e.g. in shape or texture; or being in the same plane or at the same height as something else (i.e. even with)
- symmetrically arranged
- equal in degree or extent or amount; or equally matched or balanced
- divisible by two
- of the score in a contest
- occurring at fixed intervals
adv
- Used to emphasise a comparative.
- Used to indicate a further degree of comparison.
- Rather; that is (used to signal a correction of a previous utterance).
- In reality (used to imply an extreme example in the case mentioned).
- to a greater degree or extent; used with comparisons
- to the full extent
- used as an intensive especially to indicate something unexpected
- in spite of; notwithstanding
noun
verb
adj
- (mathematics, of two integers) having no common integer divisor except 1.
- Not able to be measured by the same standards as another term in the context.
- (mathematics, of two real numbers) having a ratio that is not expressible as a fraction of two integers.
- impossible to measure or compare in value or size or excellence
- not having a common factor
noun
adj
noun
- (mathematics, specifically) A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1.
- (mathematics) An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such "false primes" very rare.
adj
noun
adj
- Relating to an exponent.
- (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter, described as exponential growth or exponential decay.
- (loosely) Characterised by a very rapid rate of change, especially increase, or merely a very large amount or degree.
- (mathematics) Expressed in terms of an exponent (power of a base), the base often being 10 or e.
- of or involving exponents
noun
adj
- Of, or relating to mathematics
- (figuratively) Extremely precise and accurate, as though having the exactness of a mathematical equation.
- Possible but highly improbable
- statistically possible though highly improbable
- of or pertaining to or of the nature of mathematics
- characterized by the exactness or precision of mathematics
- relating to or having ability to think in or work with numbers
- beyond question