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adj
- (mathematics) Fulfilling a relation.
- (not comparable, music) Synonym of relative.
- (not comparable, in combination) Having a relationship with the thing named.
- Being a relative of.
- Standing in relation or connection.
- Narrated; told.
- connected by kinship, common origin, or marriage
- being connected either logically or causally or by shared characteristics
verb
noun
- (mathematics) A function of a function.
- (chiefly law enforcement) A drawing, photograph, etc. that combines several separate pictures or images.
- A mixture of different components.
- (fraternities) A framed photo board composed of many individual photos of fraternity or sorority members.
- (school yearbook) The separate pages of individual student photos that form the main section.
- A structural material that gains its strength from a combination of complementary materials.
- (mathematics) Clipping of composite number.
- (uncommon) A segment, subset.
- (botany) A plant belonging to the family Asteraceae, syn. Compositae.
- (rail transport, UK) A railway carriage with compartments for two different classes of travel; see Composite Corridor.
- a conceptual whole made up of complicated and related parts
- considered the most highly evolved dicotyledonous plants, characterized by florets arranged in dense heads that resemble single flowers
adj
- (botany) Belonging to the Asteraceae family (formerly known as Compositae), bearing involucrate heads of many small florets.
- (mathematics) Having factors other than itself and one; not prime and not one.
- (architecture) Being a mixture of Ionic and Corinthian styles.
- (photography, historical) Employing multiple exposures on a single plate, so as to create an average view of something, such as faces in physiognomy.
- Made up of multiple components; compound or complex.
- of or relating to or belonging to the plant family Compositae
- consisting of separate interconnected parts
verb
adj
- (mathematics) Of or relating to a function or functions.
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
noun
- (mathematics, functional analysis) A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis.
- A twist or fold.
- The state or condition of being convoluted.
- (computing) A function which maps a tuple of sequences into a sequence of tuples.
- One 360° turn in a spring or similar helix.
- The shape of something rotating; a vortex.
- Any of the folds on the surface of the brain.
- the action of coiling or twisting or winding together
- the shape of something rotating rapidly
- a convex fold or elevation in the surface of the brain
noun
- (mathematics) Applying a function to the result of another.
- (printing) Typesetting.
- (linguistics) The formation of compound words from separate words.
- Synthesis as opposed to analysis.
- A mixture or compound; the result of composing.
- A work of music, literature or art.
- The general makeup of a thing or person.
- The proportion of different parts to make a whole.
- (law) an agreement or compromise by which a creditor or group of creditors accepts partial payment from a debtor.
- (object-oriented programming) Way to combine simple objects or data types into more complex ones.
- The act of putting together; assembly.
- (physics) The compounding of two velocities or forces into a single equivalent velocity or force.
- (painting, photography) The arrangement and flow of elements in a picture.
- (chess) A puzzle created by the composer using chess pieces on a chessboard, which presents the solver with a particular task.
- An essay.
- an essay (especially one written as an assignment)
- something that is created by arranging several things to form a unified whole
- musical creation
- the act of creating written works
- art and technique of printing with movable type
- the way in which someone or something is composed
- the spatial property resulting from the arrangement of parts in relation to each other and to the whole
- a mixture of ingredients
- a musical work that has been created
verb
- (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.
- (transitive) To include as a constituent part or functionality.
- (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
- (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.
- (transitive) To desegregate, as a school or neighborhood.
- (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.
- (genetics, transitive) To combine compatible elements in order to incorporate them.
- become one; become integrated
- open (a place) to members of all races and ethnic groups
- calculate the integral of; calculate by integration
- make into a whole or make part of a whole
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a formal or official social gathering or ceremony
- the actions and activities assigned to or required or expected of a person or group
- a relation such that one thing is dependent on another
- a formal or official social gathering or ceremony of people
- what something is used for
- a set sequence of steps, part of larger computer program
- (anthropology) The role of a social practice in the continued existence of the group.
- Something which is dependent on or stems from another thing; a result or concomitant.
- An official or social occasion.
- What something does or is used for.
- A professional or official position.
- (slang) A party.
- (chemistry) The characteristic behavior of a chemical compound.
- (mathematics) A relation in which each element of the domain is associated with exactly one element of the codomain.
- (biology) The physiological activity of an organ or body part.
- (computing) A routine that receives zero or more arguments and may return a result.
- A relation where one thing is dependent on another for its existence, value, or significance.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a diagrammatic representation of the earth's surface (or part of it)
- (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.
- (entomology) Any of various nymphalid butterflies of the genera Araschnia (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
- (computing) Synonym of associative array.
- A graphical or logical representation of any structure or system, showing the positions of or relationships between its components.
- A visual representation of an area, whether real or imaginary, showing the relative positions of places and other features.
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
verb
- depict as if on a map
- explore or survey for the purpose of making a map
- make a map of; show or establish the features of details of
- to establish a mapping (of mathematical elements or sets)
- plan, delineate, or arrange in detail
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
- (transitive, computing) To assign a drive letter to a shared folder.
- (transitive) To create a map of; to examine or survey in order to gather information for a map.
- (mathematics, transitive, followed by a "to" phrase) To act as a function on something, taking it to something else.
- (intransitive, followed by a "to" phrase) To have a direct relationship; to correspond.
- (transitive) To represent by means of a map.
- (transitive, followed by a "to" phrase) To create a direct relationship to; to create a correspondence with.
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (genetics) the process of locating genes on a chromosome
- the process of making maps
- (biology) The process of locating genes on a chromosome.
- The process of making maps.
- (object-oriented programming) conversion of data types between incompatible type systems.
- (computing) Assigning a PC to a shared drive or printer port on a network.
- (mathematics) A function that maps every element of a given mathematical structure (eg: a set) to a unique element of another structure; a correspondence.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (mathematics) Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”).
noun
- (mathematics) The system of equations required for the complete expression of the relations which exist between a set of quantities.
- (anatomy) A network of anastomosing or interwoven nerves, blood vessels, or lymphatic vessels.
- An interwoven combination of parts or elements in a structure or system.
- a network of intersecting blood vessels or intersecting nerves or intersecting lymph vessels
adj
- (mathematics) A property of functions that have a rule describing how the function can be performed to the individual components of another operation.
- (logic) Assigning the species of a general term.
- Relating to distribution.
- Tending to distribute; serving to divide and assign in portions; dealing a proper share to each.
- (grammar) Expressing separation; denoting a taking singly, not collectively.
- serving to distribute or allot or disperse
noun
adj
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- Constituting a whole together with other parts or factors; not omittable or removable.
- (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.
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- of or denoted by an integer
- existing as an essential constituent or characteristic
noun
- (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;
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
adj
- (mathematics) Relating to the corresponding elements of an equivalence relation.
- (cartography) Of a map, equal-area.
- (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
- (mathematics, category theory) Of two categories, (informally) such that one is essentially a relabeling of the other; (formally) related by a pair of functors such the composition of the one with the other is naturally isomorphic to the identity functor.
- (chemistry) Having the equal ability to combine.
- Similar or identical in value, meaning or effect; virtually equal.
- (mathematics) Of two sets, having a one-to-one correspondence.
- being essentially equal to something
noun
- Anything that is virtually equal to something else, or has the same value, force, etc.
- (chemistry) An equivalent weight.
- a person or thing equal to another in value or measure or force or effect or significance etc
- the atomic weight of an element that has the same combining capacity as a given weight of another element; the standard is 8 for oxygen
verb
adj
- of or relating to dynamics
- characterized by action or forcefulness or force of personality
- (used of verbs (e.g. ‘to run’) and participial adjectives (e.g. ‘running’ in ‘running water’)) expressing action rather than a state of being
- Changing; active; in motion.
- (computing) Happening at runtime instead of being predetermined at compile time.
- Able to change and adapt.
- (grammar) Of a verb: not stative, but fientive; indicating continued or progressive action on the part of the subject.
- (music) Having to do with the volume of sound.
- Powerful; energetic.
- Pertaining to dynamics, the branch of mechanics concerned with the effects of forces on the motion of objects.
noun
- an efficient incentive
- (physics) A moving force.
- (grammar) A verb that indicates continued or progressive action on the part of the subject.
- (music) A symbol in a musical score that indicates the desired level of volume.
- (music) The varying loudness or volume of a song or the markings that indicate the loudness.
- A characteristic or manner of an interaction; a behavior.
verb
- (mathematics) To calculate the derivative of a function.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- (mathematics) To calculate the differential of a function of multiple variables.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
verb
- (transitive, mathematics) To be in an equivalence relation with.
- (transitive) To wiggle, fidget or play with; to move around.
- (intransitive) To play with anything; hence, to be busy about trifles.
- (transitive, computing) To flip or switch two adjacent bits (binary digits).
- manipulate, as in a nervous or unconscious manner
- turn in a twisting or spinning motion
noun
noun
verb
- (transitive, mathematics) To subject to a transformation; to change into another form without altering the value.
- (transitive) To change the nature, condition or function of; to change in nature, disposition, heart, character, etc.; to convert.
- (transitive, genetics) To subject (a cell) to transformation.
- (intransitive) To undergo a transformation; to change in appearance or character.
- (transitive) To change greatly the appearance or form of.
- (transitive, electricity) To subject to the action of a transformer.
- change from one form or medium into another
- change in outward structure or looks
- increase or decrease (an alternating current or voltage)
- change or alter in form, appearance, or nature
- change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
- convert (one form of energy) to another
- subject to a mathematical transformation
noun
- (functional analysis) The principle that functions are equal if and only if they operate on the same domain and for any given element of the domain the result of each of the functions is the same.
- (set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.
- (philosophy) The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.
noun
- (mathematics, calculus) The process of applying the derivative operator to a function; of calculating a function's derivative.
- (biology) The process by which the components of multicellular life (cells, organs, etc.) are produced and acquire function, as when a seed develops the root and stem, and the initial stem develops the leaf, branches, and flower buds.
- (biology, evolution) The evolutionary process by which one taxonomic group (species, genus, variety, etc.) becomes distinct from another, or acquires distinct features; the result of such a process: distinctness.
- The act of treating one thing as distinct from another, or of creating such a distinction; of separating a class of things into categories; of describing a thing by illustrating how it is different from something else.
- (geology) The process of separation of cooling magma into various rock types.
- The process of developing distinct components.
- the mathematical process of obtaining the derivative of a function
- (biology) the structural adaptation of some body part for a particular function
- a discrimination between things as different and distinct on the basis of their characteristics or attributes
noun
- the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
- a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body
- an incrustation that forms on the teeth and gums
- (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
- (countable, medicine) A stony concretion that forms in a bodily organ.
- (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
- (uncountable, often definite, the calculus) Differential calculus and integral calculus considered as a single subject.
- (countable) A decision-making method, especially one appropriate for a specialised realm.
prep
- (mathematics) [Of one variable or unit of measurement which has a known relationship to another] Using equivalent expressions that use one variable in place of expressions involving the other.
- In relation to a particular aspect; with respect to; as regards; concerning; regarding.
- As an approach or way of proceeding.
noun
- a particular functioning condition or arrangement
- how something is done or how it happens
- the most frequent value of a random variable
- a classification of propositions on the basis of whether they claim necessity or possibility or impossibility
- any of various fixed orders of the various diatonic notes within an octave
- verb inflections that express how the action or state is conceived by the speaker
- (philosophy) That which exists only as a quality of substance.
- (electronics) A series of settings on a device used for a specific purpose.
- (music, in particular) One of several ancient Greek scales.
- (textiles) The openwork between the solid parts of a pattern.
- (computing) One of various related sets of rules for processing data; more generally, any state of the system associated with certain behaviours.
- A particular state of being, or frame of mind.
- Style or fashion; popular trend.
- A particular means of accomplishing something.
- (electromagnetism) A wave pattern in the electromagnetic field.
- (statistics) The most frequently occurring value in a distribution.
- (especially engineering) A state related to signals or vibrations.
- (music) One of several common scales in modern Western music, one of which corresponds to the modern major scale and one to the natural minor scale.
- (video games) A variation in gameplay, such as a difficulty level.
- (grammar) A verb form that depends on how its containing clause relates to the speaker’s or writer’s wish, intent, or assertion about reality.
noun
- (especially mathematics) The act or process of transposing or interchanging.
- (chess) A sequence of moves resulting in a position that may also be reached by another, more common sequence.
- (European Union) An incorporation of the provisions of a European Union directive into a Member State's domestic law.
- (music) A shift of a piece of music to a different musical key by adjusting all the notes of the work equally either up or down in pitch.
- an event in which one thing is substituted for another
- (music) playing in a different key from the key intended; moving the pitch of a piece of music upwards or downwards
- the act of reversing the order or place of
- (electricity) a rearrangement of the relative positions of power lines in order to minimize the effects of mutual capacitance and inductance
- (genetics) a kind of mutation in which a chromosomal segment is transferred to a new position on the same or another chromosome
- any abnormal position of the organs of the body
- (mathematics) the transfer of a quantity from one side of an equation to the other along with a change of sign
verb
adj
- (mathematics, logic) such that the arguments or roles can be interchanged
- capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability
- Freely substitutable; that may be swapped at will.
- Following each other in alternate succession; alternating.
noun
noun
- (mathematics, physics) The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.
- A classification into two subclasses or opposed parts.
- (projective geometry) The interchangeability of points and planes.
- (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry
- being twofold; a classification into two opposed parts or subclasses
- (physics) the property of matter and electromagnetic radiation that is characterized by the fact that some properties can be explained best by wave theory and others by particle theory
adj
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
noun
- The systematic study of the complex interactions in systems.
- A collection of methods on the development and organization of complex systems.
- An interdisciplinary field of science which studies the nature of complex systems in nature, society and science, and studies complex parts of reality as systems.
- the interdisciplinary study of systems in general, with the goal of elucidating principles that can be applied to all types of systems at all nesting levels in all fields of research.
adj
- of or relating to the multiplicative inverse of a quantity or function
- concerning each of two or more persons or things; especially given or done in return
- Done, given, felt, or owed in return.
- Mutually interchangeable.
- (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
- Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
- (mathematics) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
noun
- something (a term or expression or concept) that has an inverse relation to something else
- (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
- hybridization involving a pair of crosses that reverse the sexes associated with each genotype
- (grammar) A construction expressing mutual action.
- (arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.
noun
- (mathematics, physics) The expression of the terms of an equation using powers of nondimensional quantities.
- The act of one who scales or climbs.
- The measurement of dimensions using a scale.
- The formation of a layer of scale on a surface.
- The process of adjusting raw measurement data to fit an expected distribution, such fitting examination results to a normal distribution.
- The removing of the scales of fish.
- The process of adjusting sights to a ship's guns.
- The removal of a layer of scale from a surface.
- the act of arranging in a graduated series
- act of measuring or arranging or adjusting according to a scale
- ascent by or as if by a ladder
verb
noun
adj
- (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).
- (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
- (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
- (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
- unchanged in value following multiplication by itself
noun
- (mathematics) A function of a function.
- (chiefly law enforcement) A drawing, photograph, etc. that combines several separate pictures or images.
- A mixture of different components.
- (fraternities) A framed photo board composed of many individual photos of fraternity or sorority members.
- (school yearbook) The separate pages of individual student photos that form the main section.
- A structural material that gains its strength from a combination of complementary materials.
- (mathematics) Clipping of composite number.
- (uncommon) A segment, subset.
- (botany) A plant belonging to the family Asteraceae, syn. Compositae.
- (rail transport, UK) A railway carriage with compartments for two different classes of travel; see Composite Corridor.
- a conceptual whole made up of complicated and related parts
- considered the most highly evolved dicotyledonous plants, characterized by florets arranged in dense heads that resemble single flowers
adj
- (botany) Belonging to the Asteraceae family (formerly known as Compositae), bearing involucrate heads of many small florets.
- (mathematics) Having factors other than itself and one; not prime and not one.
- (architecture) Being a mixture of Ionic and Corinthian styles.
- (photography, historical) Employing multiple exposures on a single plate, so as to create an average view of something, such as faces in physiognomy.
- Made up of multiple components; compound or complex.
- of or relating to or belonging to the plant family Compositae
- consisting of separate interconnected parts
verb
noun
- (mathematics, functional analysis) A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis.
- A twist or fold.
- The state or condition of being convoluted.
- (computing) A function which maps a tuple of sequences into a sequence of tuples.
- One 360° turn in a spring or similar helix.
- The shape of something rotating; a vortex.
- Any of the folds on the surface of the brain.
- the action of coiling or twisting or winding together
- the shape of something rotating rapidly
- a convex fold or elevation in the surface of the brain
noun
- (mathematics) Applying a function to the result of another.
- (printing) Typesetting.
- (linguistics) The formation of compound words from separate words.
- Synthesis as opposed to analysis.
- A mixture or compound; the result of composing.
- A work of music, literature or art.
- The general makeup of a thing or person.
- The proportion of different parts to make a whole.
- (law) an agreement or compromise by which a creditor or group of creditors accepts partial payment from a debtor.
- (object-oriented programming) Way to combine simple objects or data types into more complex ones.
- The act of putting together; assembly.
- (physics) The compounding of two velocities or forces into a single equivalent velocity or force.
- (painting, photography) The arrangement and flow of elements in a picture.
- (chess) A puzzle created by the composer using chess pieces on a chessboard, which presents the solver with a particular task.
- An essay.
- an essay (especially one written as an assignment)
- something that is created by arranging several things to form a unified whole
- musical creation
- the act of creating written works
- art and technique of printing with movable type
- the way in which someone or something is composed
- the spatial property resulting from the arrangement of parts in relation to each other and to the whole
- a mixture of ingredients
- a musical work that has been created
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a formal or official social gathering or ceremony
- the actions and activities assigned to or required or expected of a person or group
- a relation such that one thing is dependent on another
- a formal or official social gathering or ceremony of people
- what something is used for
- a set sequence of steps, part of larger computer program
- (anthropology) The role of a social practice in the continued existence of the group.
- Something which is dependent on or stems from another thing; a result or concomitant.
- An official or social occasion.
- What something does or is used for.
- A professional or official position.
- (slang) A party.
- (chemistry) The characteristic behavior of a chemical compound.
- (mathematics) A relation in which each element of the domain is associated with exactly one element of the codomain.
- (biology) The physiological activity of an organ or body part.
- (computing) A routine that receives zero or more arguments and may return a result.
- A relation where one thing is dependent on another for its existence, value, or significance.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- a diagrammatic representation of the earth's surface (or part of it)
- (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.
- (entomology) Any of various nymphalid butterflies of the genera Araschnia (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
- (computing) Synonym of associative array.
- A graphical or logical representation of any structure or system, showing the positions of or relationships between its components.
- A visual representation of an area, whether real or imaginary, showing the relative positions of places and other features.
- (mathematics) A function, especially a function satisfying a certain property (e.g. continuity, linearity, etc.; see Usage notes).
verb
- depict as if on a map
- explore or survey for the purpose of making a map
- make a map of; show or establish the features of details of
- to establish a mapping (of mathematical elements or sets)
- plan, delineate, or arrange in detail
- locate within a specific region of a chromosome in relation to known DNA or gene sequences
- (transitive, computing) To assign a drive letter to a shared folder.
- (transitive) To create a map of; to examine or survey in order to gather information for a map.
- (mathematics, transitive, followed by a "to" phrase) To act as a function on something, taking it to something else.
- (intransitive, followed by a "to" phrase) To have a direct relationship; to correspond.
- (transitive) To represent by means of a map.
- (transitive, followed by a "to" phrase) To create a direct relationship to; to create a correspondence with.
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (genetics) the process of locating genes on a chromosome
- the process of making maps
- (biology) The process of locating genes on a chromosome.
- The process of making maps.
- (object-oriented programming) conversion of data types between incompatible type systems.
- (computing) Assigning a PC to a shared drive or printer port on a network.
- (mathematics) A function that maps every element of a given mathematical structure (eg: a set) to a unique element of another structure; a correspondence.
verb
noun
- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
- (mathematics) Synonym of function (“a relation in which each element of the domain is associated with exactly one element of the codomain”).
noun
- (mathematics) The system of equations required for the complete expression of the relations which exist between a set of quantities.
- (anatomy) A network of anastomosing or interwoven nerves, blood vessels, or lymphatic vessels.
- An interwoven combination of parts or elements in a structure or system.
- a network of intersecting blood vessels or intersecting nerves or intersecting lymph vessels
noun
verb
- (transitive, mathematics) To subject to a transformation; to change into another form without altering the value.
- (transitive) To change the nature, condition or function of; to change in nature, disposition, heart, character, etc.; to convert.
- (transitive, genetics) To subject (a cell) to transformation.
- (intransitive) To undergo a transformation; to change in appearance or character.
- (transitive) To change greatly the appearance or form of.
- (transitive, electricity) To subject to the action of a transformer.
- change from one form or medium into another
- change in outward structure or looks
- increase or decrease (an alternating current or voltage)
- change or alter in form, appearance, or nature
- change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
- convert (one form of energy) to another
- subject to a mathematical transformation
noun
- (functional analysis) The principle that functions are equal if and only if they operate on the same domain and for any given element of the domain the result of each of the functions is the same.
- (set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.
- (philosophy) The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.
noun
- (mathematics, calculus) The process of applying the derivative operator to a function; of calculating a function's derivative.
- (biology) The process by which the components of multicellular life (cells, organs, etc.) are produced and acquire function, as when a seed develops the root and stem, and the initial stem develops the leaf, branches, and flower buds.
- (biology, evolution) The evolutionary process by which one taxonomic group (species, genus, variety, etc.) becomes distinct from another, or acquires distinct features; the result of such a process: distinctness.
- The act of treating one thing as distinct from another, or of creating such a distinction; of separating a class of things into categories; of describing a thing by illustrating how it is different from something else.
- (geology) The process of separation of cooling magma into various rock types.
- The process of developing distinct components.
- the mathematical process of obtaining the derivative of a function
- (biology) the structural adaptation of some body part for a particular function
- a discrimination between things as different and distinct on the basis of their characteristics or attributes
noun
- the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
- a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body
- an incrustation that forms on the teeth and gums
- (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
- (countable, medicine) A stony concretion that forms in a bodily organ.
- (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
- (uncountable, often definite, the calculus) Differential calculus and integral calculus considered as a single subject.
- (countable) A decision-making method, especially one appropriate for a specialised realm.
noun
- a particular functioning condition or arrangement
- how something is done or how it happens
- the most frequent value of a random variable
- a classification of propositions on the basis of whether they claim necessity or possibility or impossibility
- any of various fixed orders of the various diatonic notes within an octave
- verb inflections that express how the action or state is conceived by the speaker
- (philosophy) That which exists only as a quality of substance.
- (electronics) A series of settings on a device used for a specific purpose.
- (music, in particular) One of several ancient Greek scales.
- (textiles) The openwork between the solid parts of a pattern.
- (computing) One of various related sets of rules for processing data; more generally, any state of the system associated with certain behaviours.
- A particular state of being, or frame of mind.
- Style or fashion; popular trend.
- A particular means of accomplishing something.
- (electromagnetism) A wave pattern in the electromagnetic field.
- (statistics) The most frequently occurring value in a distribution.
- (especially engineering) A state related to signals or vibrations.
- (music) One of several common scales in modern Western music, one of which corresponds to the modern major scale and one to the natural minor scale.
- (video games) A variation in gameplay, such as a difficulty level.
- (grammar) A verb form that depends on how its containing clause relates to the speaker’s or writer’s wish, intent, or assertion about reality.
adj
- (mathematics) Of or relating to a function or functions.
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
noun
- (especially mathematics) The act or process of transposing or interchanging.
- (chess) A sequence of moves resulting in a position that may also be reached by another, more common sequence.
- (European Union) An incorporation of the provisions of a European Union directive into a Member State's domestic law.
- (music) A shift of a piece of music to a different musical key by adjusting all the notes of the work equally either up or down in pitch.
- an event in which one thing is substituted for another
- (music) playing in a different key from the key intended; moving the pitch of a piece of music upwards or downwards
- the act of reversing the order or place of
- (electricity) a rearrangement of the relative positions of power lines in order to minimize the effects of mutual capacitance and inductance
- (genetics) a kind of mutation in which a chromosomal segment is transferred to a new position on the same or another chromosome
- any abnormal position of the organs of the body
- (mathematics) the transfer of a quantity from one side of an equation to the other along with a change of sign
verb
noun
- (mathematics, physics) The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.
- A classification into two subclasses or opposed parts.
- (projective geometry) The interchangeability of points and planes.
- (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry
- being twofold; a classification into two opposed parts or subclasses
- (physics) the property of matter and electromagnetic radiation that is characterized by the fact that some properties can be explained best by wave theory and others by particle theory
noun
- The systematic study of the complex interactions in systems.
- A collection of methods on the development and organization of complex systems.
- An interdisciplinary field of science which studies the nature of complex systems in nature, society and science, and studies complex parts of reality as systems.
- the interdisciplinary study of systems in general, with the goal of elucidating principles that can be applied to all types of systems at all nesting levels in all fields of research.
noun
- (mathematics, physics) The expression of the terms of an equation using powers of nondimensional quantities.
- The act of one who scales or climbs.
- The measurement of dimensions using a scale.
- The formation of a layer of scale on a surface.
- The process of adjusting raw measurement data to fit an expected distribution, such fitting examination results to a normal distribution.
- The removing of the scales of fish.
- The process of adjusting sights to a ship's guns.
- The removal of a layer of scale from a surface.
- the act of arranging in a graduated series
- act of measuring or arranging or adjusting according to a scale
- ascent by or as if by a ladder
verb
noun
adj
- (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).
- (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
- (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
- (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
- unchanged in value following multiplication by itself
verb
- (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.
- (transitive) To include as a constituent part or functionality.
- (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
- (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.
- (transitive) To desegregate, as a school or neighborhood.
- (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.
- (genetics, transitive) To combine compatible elements in order to incorporate them.
- become one; become integrated
- open (a place) to members of all races and ethnic groups
- calculate the integral of; calculate by integration
- make into a whole or make part of a whole
verb
- (mathematics) To calculate the derivative of a function.
- To recognize as different or distinct.
- (transitive, intransitive, often in the passive voice, biology) To (cause to) go through a process of development called differentiation; to make or become different in form or function.
- To modify so as to create a difference or distinction.
- (mathematics) To calculate the differential of a function of multiple variables.
- To show or be the difference or distinction between things.
- To perceive the difference between things; to discriminate.
- (education) To teach a lesson in multiple different ways in order to meet the needs of more or less advanced students.
- become distinct and acquire a different character
- evolve so as to lead to a new species or develop in a way most suited to the environment
- be a distinctive feature, attribute, or trait; sometimes in a very positive sense
- mark as different
- calculate a derivative; take the derivative
- become different during development
noun
verb
- (transitive, mathematics) To be in an equivalence relation with.
- (transitive) To wiggle, fidget or play with; to move around.
- (intransitive) To play with anything; hence, to be busy about trifles.
- (transitive, computing) To flip or switch two adjacent bits (binary digits).
- manipulate, as in a nervous or unconscious manner
- turn in a twisting or spinning motion
noun
adj
- (mathematics) Fulfilling a relation.
- (not comparable, music) Synonym of relative.
- (not comparable, in combination) Having a relationship with the thing named.
- Being a relative of.
- Standing in relation or connection.
- Narrated; told.
- connected by kinship, common origin, or marriage
- being connected either logically or causally or by shared characteristics
verb
adj
- (mathematics) Of or relating to a function or functions.
- Optimized for all-around physiological benefit.
- Useful; serving a purpose, fulfilling a function.
- (computing theory) Having semantics defined purely in terms of mathematical functions, without side-effects.
- Of or relating to one's role or office; official.
- Only for functional purposes, notably in architecture.
- In good working order.
- (physiology, psychology) Characterizing functioning in environment, being symptoms that do not presuppose alteration of organic structure.
- designed for or adapted to a function or use
- involving or affecting function rather than physiology
- (of e.g. a machine) performing or capable of performing
- relating to or based on function especially as opposed to structure
- designed for or capable of a particular function or use
- fit or ready for use or service
noun
- (mathematics) A function that takes a function as its argument; more precisely, a function whose argument varies in a space of (real or complex valued) functions and whose value belongs to a monodimensional space.
- (computing) An object encapsulating a function pointer (or equivalent).
- (mathematics, functional analysis) A scalar-valued linear function on a vector space.
adj
- (mathematics) A property of functions that have a rule describing how the function can be performed to the individual components of another operation.
- (logic) Assigning the species of a general term.
- Relating to distribution.
- Tending to distribute; serving to divide and assign in portions; dealing a proper share to each.
- (grammar) Expressing separation; denoting a taking singly, not collectively.
- serving to distribute or allot or disperse
noun
adj
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- Constituting a whole together with other parts or factors; not omittable or removable.
- (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.
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- of or denoted by an integer
- existing as an essential constituent or characteristic
noun
- (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;
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
adj
- (mathematics) Relating to the corresponding elements of an equivalence relation.
- (cartography) Of a map, equal-area.
- (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
- (mathematics, category theory) Of two categories, (informally) such that one is essentially a relabeling of the other; (formally) related by a pair of functors such the composition of the one with the other is naturally isomorphic to the identity functor.
- (chemistry) Having the equal ability to combine.
- Similar or identical in value, meaning or effect; virtually equal.
- (mathematics) Of two sets, having a one-to-one correspondence.
- being essentially equal to something
noun
- Anything that is virtually equal to something else, or has the same value, force, etc.
- (chemistry) An equivalent weight.
- a person or thing equal to another in value or measure or force or effect or significance etc
- the atomic weight of an element that has the same combining capacity as a given weight of another element; the standard is 8 for oxygen
verb
adj
- of or relating to dynamics
- characterized by action or forcefulness or force of personality
- (used of verbs (e.g. ‘to run’) and participial adjectives (e.g. ‘running’ in ‘running water’)) expressing action rather than a state of being
- Changing; active; in motion.
- (computing) Happening at runtime instead of being predetermined at compile time.
- Able to change and adapt.
- (grammar) Of a verb: not stative, but fientive; indicating continued or progressive action on the part of the subject.
- (music) Having to do with the volume of sound.
- Powerful; energetic.
- Pertaining to dynamics, the branch of mechanics concerned with the effects of forces on the motion of objects.
noun
- an efficient incentive
- (physics) A moving force.
- (grammar) A verb that indicates continued or progressive action on the part of the subject.
- (music) A symbol in a musical score that indicates the desired level of volume.
- (music) The varying loudness or volume of a song or the markings that indicate the loudness.
- A characteristic or manner of an interaction; a behavior.
adj
- (mathematics, logic) such that the arguments or roles can be interchanged
- capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability
- Freely substitutable; that may be swapped at will.
- Following each other in alternate succession; alternating.
noun
adj
- (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
- (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
- (linear algebra, of a matrix) Which commutes with its conjugate transpose.
- (complex analysis, of a family of continuous functions) Which is pre-compact.
- (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
- (probability theory, statistics, of a distribution, random variable, etc.) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
- (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (a normal mode).
- (rail transport, of points) In the default position, set for the most frequently used route.
- (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
- (category theory, of a category) Which contains only normal morphisms.
- (organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.
- (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
- (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
- (category theory, of a morphism) Which is the kernel or cokernel of some morphism, respectively.
- (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bⁿ possible strings of n digits follow a uniform distribution.
- Usual, healthy; not sick or ill or unlike oneself.
- (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
- (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
- (algebra, of a subgroup) With cosets which form a group.
- (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
- (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
- According to norms or rules or to a regular pattern.
- (geometry) Perpendicular to a tangent of a curve or tangent plane of a surface.
- in accordance with scientific laws
- conforming with or constituting a norm or standard or level or type or social norm; not abnormal
- forming a right angle
- being approximately average or within certain limits in e.g. intelligence and development
noun
- (geometry, countable) A line or vector that is perpendicular to another line, surface, or plane.
- (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
- (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
- (countable, uncountable) The usual state.
- something regarded as a normative example
adj
- of or relating to the multiplicative inverse of a quantity or function
- concerning each of two or more persons or things; especially given or done in return
- Done, given, felt, or owed in return.
- Mutually interchangeable.
- (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
- Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
- (mathematics) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
noun
- something (a term or expression or concept) that has an inverse relation to something else
- (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
- hybridization involving a pair of crosses that reverse the sexes associated with each genotype
- (grammar) A construction expressing mutual action.
- (arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.