Browse Lemmas - Multilingual Dictionary Editor

homomorphism

A structure-preserving map between two algebraic structures of the same kind, such as groups, rings, or vector spaces; it preserves the relevant opera...

Noun knowledge_domain Level 1080

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homotopy

A continuous deformation of one continuous function, map, or path into another within a specified space; formally, a continuous family of maps connect...

Noun knowledge_domain Level 1080

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inclusive

Including the stated endpoints in a range, count, or period.

Adjective mathematical Level 1080

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infinitesimal

An extremely small quantity or amount; especially a quantity approaching zero in mathematics.

Noun quantitative_concept Level 1080

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injective

Having the property that distinct inputs produce distinct outputs; describing a function in which no two different elements of the domain have the sam...

Adjective mathematical Level 1080

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integrable

Able to be integrated in the mathematical sense: having an integral that exists, usually over a specified interval or domain.

Adjective mathematical Level 1080

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invertible

In mathematics, having an inverse; capable of being undone by another operation, or, for a function or matrix, having a corresponding inverse function...

Adjective mathematical Level 1080

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irreducible

In mathematics, not capable of being factored into simpler nonconstant factors over a specified number system or field.

Adjective mathematical Level 1080

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isomorphic

Having the same or a closely corresponding structure, form, or relation, especially in mathematics or science.

Adjective mathematical Level 1080

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isomorphism

A one-to-one correspondence between the elements of two mathematical structures that preserves the relevant operations, relations, or properties, show...

Noun knowledge_domain Level 1080

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lemma

A proposition or assumption introduced as a supporting step in a proof or argument.

Noun communication_information Level 1080

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maximal

As large, high, intense, or great as possible; at the maximum level.

Adjective size Level 1080

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modulo

Used in mathematics to indicate that two integers have the same remainder when divided by a specified integer.

Preposition preposition_other Level 1080

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morphism

A structure-preserving map between mathematical objects, such as sets, groups, rings, or topological spaces; the exact properties preserved depend on ...

Noun knowledge_domain Level 1080

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multiplicative

Relating to, involving, or produced by multiplication.

Adjective mathematical Level 1080

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multiplicative

Characterized by repeated multiplication or by changing in proportion to the current amount, rather than by adding a fixed amount.

Adjective mathematical Level 1080

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multivariate

Involving, analyzing, or relating to multiple variables at the same time, especially in statistics.

Adjective mathematical Level 1080

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noncommutative

Not satisfying the commutative property: involving an operation in which changing the order of the operands can change the result.

Adjective mathematical Level 1080

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null

Having no value, effect, or significance; void.

Adjective condition Level 1080

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orthogonal

At right angles to another line, plane, or surface; perpendicular.

Adjective spatial_orientation Level 1080

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parametric

Relating to, defined by, or expressed in terms of one or more parameters.

Adjective mathematical Level 1080

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permutation

A rearrangement of the elements of a set or sequence into a particular order.

Noun quantitative_concept Level 1080

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polyhedron

A three-dimensional geometric solid bounded by a finite number of flat polygonal faces, with edges and vertices where the faces meet.

Noun shape Level 1080

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probabilistic

Relating to or based on probability; involving uncertainty or likelihood rather than certainty.

Adjective mathematical Level 1080

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projective

Relating to, involving, or produced by projection, especially the representation of a three-dimensional object on a plane or the casting of an image o...

Adjective mathematical Level 1080

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recurrence

The fact of happening again, especially after a period without happening.

Noun process_event Level 1080

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sector

A part of a circle enclosed by two radii and the arc between them.

Noun shape Level 1080

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sheaf

A bundle of cut stalks of grain or similar plants, tied together.

Noun collection_things Level 1080

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simplicial

Relating to, involving, or having the structure of a simplex or simplicial complex in geometry, topology, or related mathematics.

Adjective mathematical Level 1080

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stochastic

Involving or based on random chance or probability; determined by a random process rather than by fixed rules.

Adjective mathematical Level 1080

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subgroup

A smaller group formed from or included within a larger group, often sharing particular characteristics.

Noun group_people Level 1080

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subspace

A subset of a mathematical vector space that is itself a vector space under the same operations.

Noun knowledge_domain Level 1080

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topological

Relating to topology, the branch of mathematics concerned with properties of spaces that remain unchanged under continuous deformation.

Adjective mathematical Level 1080

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topology

The branch of mathematics that studies properties of spaces and shapes that remain unchanged under continuous deformation, such as stretching or bendi...

Noun knowledge_domain Level 1080

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torus

A doughnut-shaped surface or solid generated by rotating a circle around an axis in the same plane that does not intersect the circle.

Noun shape Level 1080

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transcendental

Beyond or independent of ordinary physical experience; spiritual or supernatural in nature.

Adjective belief_cultural Level 1080

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transitive

Characterized by a relation in which, whenever it relates one element to a second, it also relates the first element to itself or the second element t...

Adjective mathematical Level 1080

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unbiased

Not systematically favoring particular results or values; statistically free from predictable distortion.

Adjective mathematical Level 1080

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allspice

The dried, unripe berries of a tropical evergreen tree, used as a spice and having a flavor resembling a combination of cinnamon, cloves, and nutmeg.

Noun food Level 1090

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anchovy

A small, slender marine fish of the herring family, often preserved in salt or oil and used as food.

Noun animal Level 1090

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arrowroot

A tropical plant whose underground stems or roots are used to produce a fine starch.

Noun plant Level 1090

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aspic

A savory jelly made from meat, fish, or vegetables and used to encase or decorate food.

Noun food Level 1090

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baste

To moisten food while it cooks by spooning, brushing, or pouring liquid or melted fat over it.

Verb physical_action Level 1090

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broil

To cook food with direct heat, usually from above or below, until browned or done.

Verb physical_action Level 1090

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broiler

A part of an oven or a separate appliance that cooks food with intense heat from above.

Noun appliance Level 1090

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caramel

A smooth, chewy candy made by heating sugar, often with butter or cream.

Noun food Level 1090

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catsup

A thick, sweet-and-tangy red sauce made mainly from tomatoes and vinegar, commonly used as a condiment.

Noun food Level 1090

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citron

A citrus fruit with a thick, rough rind and relatively little juicy pulp, used especially for its fragrant peel.

Noun food Level 1090

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clam

A marine or freshwater mollusk with a soft body enclosed in two hinged shells; also, its edible flesh.

Noun animal Level 1090

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clove

A small, dried flower bud of a tropical tree, used as a strongly aromatic spice.

Noun plant_part Level 1090

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