orbit
stabilizer
injection
transitive set
centralizer
coset
topological space
permutation
reflexive
tatpuruṣa
ferride
symmetry group
substitute
Cartesian product
substitution reaction
transitive
three
transition metal
for all
antiset
inverse semigroup
convolution
elementoid
kernel
member
polyplastic
preimage
surjection
multibracket
transformation
plasmatic
normalizer
product
covariant
intersection
superset
multiset
affine
four
direct product
exact cover
subset
projection matrix
difference
stabilizer subgroup
commutant
affine geometry
transformation matrix
transmute
in terms of
permutation group
eigenvector
commutator length
bihermitian
precomposition
family
conjugate
difference set
cubo-cubic
contravariant
conjugation
choppy
lift
combinatorial
natural isomorphism
separable
five
identity element
disjoint union
left inverse
orchestrate
two
subset classifier
Legendre transformation
antisymmetric
transformally
Knuth equivalence
allotrope
complementation
quasiconvex
inverse
diffusing
defunctionalization
cover
partition
Cartesian square
many-to-many
xem
orthonormal
combination
fret
strictly
Heusler compound
interlayering
reflexive
transitive
elementoid
polyplastic
plasmatic
affine
bihermitian
cubo-cubic
choppy
combinatorial
separable
antisymmetric
quasiconvex
inverse
diffusing
many-to-many
orthonormal
transformally
strictly
orbit
stabilizer
injection
transitive set
centralizer
coset
topological space
permutation
tatpuruṣa
ferride
symmetry group
Cartesian product
substitution reaction
transition metal
antiset
inverse semigroup
convolution
kernel
member
preimage
surjection
multibracket
transformation
normalizer
product
covariant
intersection
superset
multiset
direct product
exact cover
subset
projection matrix
difference
stabilizer subgroup
commutant
affine geometry
transformation matrix
permutation group
eigenvector
commutator length
precomposition
family
difference set
contravariant
conjugation
natural isomorphism
identity element
disjoint union
left inverse
subset classifier
Legendre transformation
Knuth equivalence
allotrope
complementation
defunctionalization
cover
partition
Cartesian square
combination
Heusler compound
interlayering
substitute
transmute
conjugate
lift
orchestrate
fret
noun
- The subset of elements of a set X to which a given element can be moved by members of a specified group of transformations that act on X.
- A collection of points related by the evolution function of a dynamical system.
- A path for the ball on the outer edge of the playfield, usually connected so that the ball entering in one end will come out of the other.
- A state of increased excitement, activity, or anger.
- A sphere of influence; an area or extent of activity, interest, or control.
- The path of an electron around an atomic nucleus.
- One complete circuit round an orbited body.
- The state of moving in an orbit.
- The area around the eye of a bird or other animal.
- The bony cavity in the skull of a vertebrate containing the eyeball.
verb
- To move in a circle.
- To center (around).
- To circle or revolve around another object or position.
- To place an object (e.g. a satellite) into an orbit around a planet.
- To move around the general vicinity of something.
- To continue to follow and/or engage with someone via social media after breaking up with them.
noun
- For a group operating on a set and an element x of the set, the set of all group elements fixing x.
- Any substance added to something in order to stabilize it.
- A gyroscopically controlled fin or similar device that prevents the excess rolling of a ship in rough seas.
- A piece of backing fabric used in embroidery.
- An additional wheel on a bicycle to keep it upright to assist a learner.
- An airfoil that stabilizes the flight of an aircraft or missile.
noun
- A relation on sets (X,Y) that associates each element of Y with at most one element of X.
- The act of injecting, or something that is injected.
- A function that maps distinct x in the domain to distinct y in the codomain; formally, a f: X → Y such that f(a) = f(b) implies a = b for any a, b in the domain.
- Congestion (of a body part, with blood or other fluid), such as hyperemia.
- The supply of additional funding to a person or a business.
- A morphism from either one of the two components of a coproduct to that coproduct.
- Fuel injection: the pressurized introduction of fuel into a cylinder.
- The act of inserting materials like concrete grout or gravel by using high pressure pumps.
- The cold water thrown into a condenser to produce a vacuum.
- The act of putting a spacecraft into a particular orbit, especially for changing a stable orbit into a transfer orbit, e.g. trans-lunar injection.
- Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle.
- The act of throwing cold water into a condenser to produce a vacuum.
- A specimen prepared by injection.
- The insertion of program code into an application, URL, hardware, etc.; especially when malicious or when the target is not designed for such insertion.
noun
- A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
- One of the ways something exists, or the ways a set of objects can be ordered.
- An ordering of a finite set of distinct elements.
- A one-to-one mapping from a finite set to itself.
adj
- Of a relation R on a set S, such that xRx for all members x of S (that is, the relation holds between any element of the set and itself).
- Producing immediate response, spontaneous.
- Of or resulting from a reflex.
- Referring back to the subject, or having an object equal to the subject.
- Synonym of reflective
noun
noun
- The set of all possible pairs of elements whose components are members of two sets. Notation: X⨯Y=(x,y)|x∈X∧y∈Y.
- All possible combinations of rows between all of the tables listed.
- The set of points in an (m + n)-dimensional Cartesian space corresponding to all possible pairs of points from the two sets from spaces of dimension m and n. Notation: X⨯Y=(x_1,...x_m,y_1,...y_n)|(x_1,...x_m)∈X∧(y_1,...y_n)∈Y.
adj
- Such that, for any two elements of the acted-upon set, some group element maps the first to the second.
- Affected by transference of signification.
- Taking a direct object or objects.
- Making a transit or passage.
- Having the property that if an element a is related to b and b is related to c, then a is necessarily related to c.
- Such that, for any two vertices there exists an automorphism which maps one to the other.
noun
noun
noun
- 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.
- 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.
- A twist or fold.
- The state or condition of being convoluted.
- A function which maps a tuple of sequences into a sequence of tuples.
noun
- A function used to define an integral transform.
- The human clitoris.
- The nucleus and electrons of an atom excluding its valence electrons.
- For a category with zero morphisms: the equalizer of a given morphism and the zero morphism which is parallel to that given morphism.
- A set of pairs of a mapping's domain which are mapped to the same value.
- A single seed or grain, especially of corn or wheat.
- A small mass around which other matter is concreted; a nucleus; a concretion or hard lump in the flesh.
- The set of members of a fuzzy set that are fully included (i.e., whose grade of membership is 1).
- The core, center, or essence of an object or system.
- The central part of many computer operating systems which manages the system's resources and the communication between hardware and software components.
- The stone of certain fruits, such as peaches or plums.
- The core engine of any complex software system.
- The central (usually edible) part of a nut, especially once the hard shell has been removed.
- For a given function (especially a linear map between vector spaces), the set of elements in the domain which are mapped to zero; (formally) given f : X → Y, the set {x ∈ X : f(x) = 0}.
verb
noun
- An element of a set.
- A file stored within an archive file.
- the judge or adjudicator in a consumer court.
- The penis.
- A part of a whole.
- Part of an animal capable of performing a distinct office; an organ; a limb.
- One who officially belongs to a group.
- Either of the two parts of an algebraic equation, connected by the equality sign.
- A part of a discourse or of a period, sentence, or verse; a clause.
- One of the propositions making up a syllogism.
- A function or piece of data associated with each separate instance of a class.
- friend
noun
adj
noun
- The replacement of the variables in an algebraic expression by their values in terms of another set of variables; a mapping of one space onto another or onto itself; a function that changes the position or direction of the axes of a coordinate system.
- The alteration of a bacterial cell caused by the transfer of DNA from another, especially if pathogenic.
- The transition from the apartheid era to a multiracial democracy in South Africa.
- A marked change in appearance or character, especially one for the better.
- The act of transforming or the state of being transformed.
- A rule that systematically converts one syntactic form into another; a sentence derived by such a rule.
noun
- the set of elements common to two or more sets
- items for sale to the individual consumer
- an artifact that has been created by someone or some process
- a quantity obtained by multiplication
- a chemical substance formed as a result of a chemical reaction
- a consequence of someone's efforts or of a particular set of circumstances
noun
- the set of elements common to two or more sets
- a point where lines intersect
- a junction where one street or road crosses another
- a point or set of points common to two or more geometric configurations
- a representation of common ground between theories or phenomena
- the act of intersecting (as joining by causing your path to intersect your target's path)
noun
- (symbol: ⊇) With respect to another set, a set such that each of the elements of the other set is also an element of the set.
- Two or more different physical exercises performed back to back, without a period of rest between them. The exercises may employ the same muscle group, or opposing muscle groups.
verb
num
- Describing a set or group with four elements.
- A numerical value equal to 4; the number after three and before five; two plus two. This many dots (••••)
noun
- The crew rowing in a four boat.
- Anything measuring four units, as length.
- The digit or figure 4; an occurrence thereof.
- A regatta event for four boats.
- A person who is four years old.
- An event in which the batsmen run four times between the wickets or, more often, a batsman hits a ball which bounces on the ground before passing over a boundary, resulting in an award of 4 runs for the batting team. If the ball does not bounce before passing over the boundary, a six is awarded instead.
- A power forward.
- The shell itself.
noun
- The set of all possible tuples whose elements are elements of given, separately specified, sets.
- Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- The set of elements that are in one set but not another ( scriptstyle A◌̅B).
- The result of a subtraction; sometimes the absolute value of this result.
- A disagreement or argument.
- An addition to a coat of arms to distinguish two people's bearings which would otherwise be the same. See augmentation and cadency.
- A characteristic of something that makes it different from something else.
- The quality of being different.
- The quality or attribute which is added to those of the genus to constitute a species; a differentia.
- Significant change in or effect on a situation or state.
- A Boolean operation which is true when the two input variables are different but is otherwise false; the XOR operation ( scriptstyle A◌̅B+◌̅AB).
noun
- A collection of sets, especially of subsets of a given set.
- A group of instruments having the same basic method of tone production.
- A nuclear family: a mother and father who are married and cohabiting and their child or children.
- A (close-knit) group of people related by blood, friendship, marriage, law, or custom, especially if they live or work together.
- A category in the classification of organisms, ranking below order and above genus; a taxon at that rank.
- An extended family: a group of people who are related to one another by blood or marriage.
- A group of people who are closely related to one another (by blood, marriage or adoption); kin; in particular, a set of parents and their children; an immediate family.
- Members of one's family collectively.
- Lineage, especially honorable or noble lineage.
- Any group or aggregation of things classed together as kindred or related from possessing in common characteristics which distinguish them from other things of the same order.
- A group of languages believed to have descended from the same ancestral language.
name
adj
verb
- To multiply on the left by one element and on the right by its inverse.
- To inflect (a verb) for each person, in order, for one or more tenses; to list or recite its principal parts.
- To join together, to unite; to juxtapose.
- To temporarily fuse, exchanging or transferring DNA.
adj
- Presenting themselves simultaneously and having reciprocal properties; said of quantities, points, lines, axes, curves, etc.
- United in pairs; yoked together; coupled.
- Agreeing in derivation and radical signification; said of words.
- In single pairs; coupled.
- Containing two or more radicals supposed to act the part of a single one.
noun
- Given a field extension L / K and an element α ∈ L, any other element β ∈ L that is another root of the minimal polynomial of α over K.
- An explementary angle.
- A word agreeing in derivation with another word, and therefore generally resembling it in meaning.
- A complex conjugate.
- A weak and a strong antigen covalently linked together
- Any entity formed by joining two or more smaller entities together.
- More generally, any of a set of irrational or complex numbers that are zeros of the same polynomial with integral coefficients.
noun
- A mapping sending x to gxg⁻¹, where g and x are elements of a group; inner automorphism
- A system of delocalized orbitals consisting of alternating single bonds and double bonds
- The temporary fusion of organisms, especially as part of sexual reproduction
- The act or process of conjugating a verb.
- The product of that act: the conjugated forms of a verb, collected into a list or recitation.
- The coming together of things; union.
- Sexual relations within marriage
- In some languages, one of several classifications of verbs according to what inflections they take.
- A function which negates the non-real part of a complex or hypercomplex number; complex conjugation
verb
- To transform (a function) into a corresponding function in a different context.
- To buy a security or other asset previously offered for sale.
- To take (hounds) off the existing scent and move them to another spot.
- To try to raise something; to exert the strength for raising or bearing.
- To arrest (a person).
- To steal.
- to cause to move upwards.
- To elevate or improve in rank, condition, etc.; often with up.
- To lift weights; to weight-lift.
- To remove (a ban, restriction, etc.).
- To collect, as moneys due; to raise.
- To alleviate, to lighten (pressure, tension, stress, etc.)
- To source directly without acknowledgement; to plagiarise.
- To raise or rise.
noun
- A rise; a degree of elevation.
- A thief.
- The amount or weight to be lifted.
- The sky; the heavens; firmament; atmosphere.
- An act of lifting or raising.
- One of the steps of a cone pulley.
- Air.
- Mechanical device for vertically transporting goods or people between floors in a building.
- That portion of the vibration of a balance during which the impulse is given.
- An upward force, such as the force that keeps aircraft aloft.
- An improvement in mood.
- The difference in elevation between the upper pool and lower pool of a waterway, separated by lock.
- The act of transporting someone in a vehicle; a ride; a trip.
- Permanent construction with a built-in platform that is lifted vertically.
- A rope leading from the masthead to the extremity of a yard below, and used for raising or supporting the end of the yard.
- A layer of leather in the heel of a shoe.
- The space or distance through which anything is lifted.
- The lifting of a dance partner into the air.
- A liftgate.
noun
- A union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing).
- A union of sets which are already pairwise disjoint.
- The disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology.
noun
- Given a function f(x,y,z,...) which is concave up with respect to x (i.e., its second derivative with respect to x is greater than zero), an involutive procedure for replacing x with another variable, say p=∂f/∂x thus yielding another function, say F=F(p,y,z,...). This new function contains all of the information of the original f encoded, as it were, within it so that ∂F/∂p=x and applying a similar transformation to F yields the original f. The formula is: F(p,y,z,...)=p·x(p)-f(x(p),y,z,...) where x must be expressed as a function of p. (Note: The concave upwardness means that ∂f/∂x is monotonically increasing, which means that p as a function of x is invertible, so x should be expressible as a function of p.)
- A relation between internal energy (expressed in terms of volume and entropy) and enthalpy (replacing volume with pressure), or between internal energy and Helmholtz free energy (replacing entropy with temperature), or between enthalpy and Gibbs free energy (replacing entropy with temperature), or between internal energy and Gibbs free energy (replacing volume with pressure and entropy with temperature), or between Helmholtz free energy and Gibbs free energy (replacing volume with pressure).
- A formula for converting a Lagrangian function to a Hamiltonian function (or vice versa).
adj
- Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
- Whose transpose equals its negative (i.e., Mᵀ = −M);
- That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
- For which B(w,v) = -B(v,w).
adj
- Whose every element has an inverse (morphism which is both a left inverse and a right inverse).
- Opposite in effect, nature or order.
- Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.
- Reverse, opposite in order.
- Inverted; having a position or mode of attachment the reverse of that which is usual.
- That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.
noun
- The result of a circle inversion; the set of all such points; the curve described by such a set.
- A morphism which is both a left inverse and a right inverse.
- A ratio etc. in which the antecedents and consequents are switched.
- The negative of a given number.
- A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.
- The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.
- A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
- The reverse of any procedure or process.
- The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.
- One divided by a given number.
- An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.
verb
noun
- A collection (or family) of subsets of a given set, whose union contains every element of said original set.
- The top sheet of a bed.
- A persona maintained by a spy or undercover operative; cover story.
- The front and back of a book, magazine, CD package, etc.
- A cloth or similar material, often fitted, placed over an item such as a car or sofa or food to protect it from dust, rain, insects, etc. when not being used.
- Area or situation which screens a person or thing from view.
- An envelope complete with stamps and postmarks etc.
- A solid object, including terrain, that provides protection from enemy fire.
- The portion of a slate, tile, or shingle that is hidden by the overlap of the course above.
- An insurance contract; coverage by an insurance contract.
- A setting at a restaurant table or formal dinner.
- A new performance or rerecording of a previously recorded song; a cover version; a cover song.
- The distance between reinforcing steel and the exterior of concrete.
- A fielding position on the off side, between point and mid off, about 30° forward of square; a fielder in this position.
- A cover charge.
- In a steam engine, the lap of a slide valve.
- A lid.
- In commercial law, a buyer’s purchase on the open market of goods similar or identical to the goods contracted for after a seller has breached a contract of sale by failure to deliver the goods contracted for.
adj
- Of, pertaining to, or consisting of cover versions.
- Of or pertaining to the front cover of a book or magazine.
verb
- To make a cover version of (a song that was originally recorded by another artist).
- To defend (mark) a particular player or area.
- To discuss thoroughly; to provide coverage of.
- To set upon all of, so as to completely conceal.
- To be upon all of, so as to completely conceal.
- To provide insurance coverage for.
- To traverse or put behind a certain distance.
- To act as a replacement.
- To deal with or include someone or something.
- To be enough money for.
- To invest (oneself with something); to bring upon (oneself).
- To have as an assignment or responsibility.
- To protect using an aimed firearm and the threat of firing; or to protect using continuous, heaving fire at or in the direction of the enemy so as to force the enemy to remain in cover; or to threaten using an aimed firearm.
- To be over or upon, as to conceal or protect.
- To place something over or upon, as to conceal or protect.
- To extend over a given period of time or range, to occupy, to stretch over a given area.
- To copulate with (said of certain male animals such as dogs and horses).
- To protect or control (a piece or square).
noun
- A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).
- A vertical structure that divides a room.
- An approach to division in which one asks what the size of each part is, rather than (as in quotition) how many parts there are.
- A musical score.
- An action which divides a thing into parts, or separates one thing from another.
- A part of something that has been divided.
- A part divided off by walls; an apartment; a compartment.
- That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.
- The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
- The division of a territory into two or more autonomous ones.
- A division of a database or one of its constituting elements such as tables into separate independent parts.
- A section of a hard disk separately formatted.
verb
pron
noun
- the act of arranging elements into specified groups without regard to order
- a collection of things that have been combined; an assemblage of separate parts or qualities
- a coordinated sequence of chess moves
- a sequence of numbers or letters that opens a combination lock
- a group of people (often temporary) having a common purpose
- an alliance of people or corporations or countries for a special purpose (formerly to achieve some antisocial end but now for general political or economic purposes)
- the act of combining things to form a new whole
verb
- To form a pattern on; to variegate.
- To be anxious, to worry.
- To be agitated; to rankle; to be in violent commotion.
- To decorate or ornament, especially with an interlaced or interwoven pattern, or (architecture) with carving or relief (raised) work.
- In the form fret out: to squander, to waste.
- To press down the string behind a fret.
- To cut through with a fretsaw, to create fretwork.
- To be chafed or irritated; to be angry or vexed; to utter peevish expressions through irritation or worry.
- To fit frets on to (a musical instrument).
- To be worn away; to chafe; to fray.
- To have secondary fermentation (fermentation occurring after the conversion of sugar to alcohol in beers and wine) take place.
- To chafe or irritate; to worry.
- To gnaw; to consume, to eat away.
- To bind, to tie, originally with a loop or ring.
- To make rough, to agitate or disturb; to cause to ripple.
noun
- Agitation of the surface of a fluid by fermentation or some other cause; a rippling on the surface of water.
- An ornamental pattern consisting of repeated vertical and horizontal lines, often in relief.
- A fog or mist at sea, or coming inland from the sea.
- The worn sides of riverbanks, where ores or stones containing them accumulate after being washed down from higher ground, which thus indicate to miners the locality of veins of ore.
- A channel or passage created by the sea.
- One of the pieces of metal, plastic or wood across the neck of a guitar or other string instrument that marks where a finger should be positioned to depress a string as it is played.
- Agitation of the mind marked by complaint and impatience; disturbance of temper; irritation.
- Herpes; tetter (“any of various pustular skin conditions”).
- A saltire interlaced with a mascle.
- A channel, a strait; a fretum.
English words for 'The subset of elements of a set X to which a given element can be moved by members of a specified group of transformations that act on X.'
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