English-Wörter für 'To the same extent.'
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prep_phrase
adv
- In the same manner or to the same extent as aforementioned; likewise, also.
- in the same way; also
- Indeed.
- (informal) at all (negative clause).
- To the (explicitly stated) extent.
- To the (implied) extent.
- (with as): To such an extent or degree; as.
- Very much.
- Very (positive or negative clause).
- to a very great extent or degree
- (used to introduce a logical conclusion) from that fact or reason or as a result
- in truth (often tends to intensify)
- in the way indicated
- (usually followed by ‘that’) to an extent or degree as expressed
- in a manner that facilitates
- in such a condition or manner, especially as expressed or implied
- subsequently or soon afterward (often used as sentence connectors)
- to a certain unspecified extent or degree
adj
conj
intj
- Used as a question to ask for further explanation of something said, often rhetorically or in a dismissive or impolite manner.
- Used as a meaningless filler word to begin a response to a question.
- Used after a pause for thought to introduce a new topic, question or story, or a new thought or question in continuation of an existing topic.
noun
pron
adv
conj
- Varying through time in the same proportion that.
- (law) used before a preposition to clarify that the prepositional phrase restricts the meaning of the sentence; specifically.
- Functioning as a relative conjunction, and sometimes like a relative pronoun: that, which, who. (See usage notes.)
- Expressing concession: though.
- At the same instant or moment that: when.
- At the same time that, during the same time when: while.
- In the (same) way or manner that; to the (same) degree that.
- Being that, considering that, because, since.
- Used to introduce a result: with the result that it is; as to
- Used after so or as to introduce a comparison.
noun
prep
pron
adj
- The same.
- Sole, only.
- Of a period of time, being particular.
- In agreement.
- Whole, entire.
- Being a single, unspecified thing; a; any.
- (informal) very; used informally as an intensifier
- being a single entity made by combining separate components
- eminent beyond or above comparison
- indefinite in time or position
- of the same kind or quality
- used of a single unit or thing; not two or more
- having the indivisible character of a unit
det
noun
- A person or thing (having some specified characteristic or attribute).
- (cricket) One run scored by hitting the ball and running between the wickets; a single.
- (colloquial) A particularly special or compatible person or thing.
- (US) A one-dollar bill.
- One o'clock, either a.m. or p.m.
- A joke or amusing anecdote.
- (Internet slang, leetspeak, sarcastic) Deliberate misspelling of !, used to amplify an exclamation, parodying unskilled typists who forget to press the shift key while typing exclamation points, thus typing "1".
- An act of sexual intercourse.
- The digit or figure 1.
- (followed by for) A person with a tendency to do something.
- (mathematics) The identity element with respect to multiplication in a ring.
- An alcoholic drink, especially a pint or can of beer.
- a single person or thing
- the smallest whole number or a numeral representing this number
num
- (set theory) The cardinality of the smallest nonempty set.
- (number theory) The first positive number in the set of natural numbers.
- (mathematics) The ordinality of an element which has no predecessor, usually called first or number one.
- The number represented by the Arabic numeral 1; the numerical value equal to that cardinal number.
particle
- A nominalizer used to form a noun phrase without a head noun.
- Used at the end of a sentence to highlight the likelihood of something occurring, as a characteristic of something else.
- Used at the end of a sentence to highlight the originator of something.
- Used at the end of a sentence to highlight the characteristics of someone or something.
pron
- (Singlish, less common) Used as a relative pronoun at the end of a relative clause.
- (impersonal pronoun, sometimes with "the") The first mentioned of two things or people, as opposed to the other.
- (indefinite personal pronoun) Any person (applying to people in general).
- (pronoun) Any person, entity or thing.
- (impersonal pronoun, indefinite) One thing (among a group of others); one member of a group.
verb
prep
adj
- Similar.
- (Scotland, Southern US, otherwise archaic; usually with to) inclined (to), prone (to).
- (Scotland, Southern US, otherwise archaic) Likely; probable.
- conforming in every respect
- having the same or similar characteristics
- resembling or similar; having the same or some of the same characteristics; often used in combination
- equal in amount or value
prep
conj
noun
- (golf) The stroke that equalizes the number of strokes played by the opposing player or side.
- (Internet) An individual vote showing support for, approval of, or enjoyment of, something posted on the Internet.
- (sometimes as the likes of) Someone similar to a given person, or something similar to a given object; a comparative; a type; a sort.
- (chiefly in the plural) Something that a person likes (prefers).
- a similar kind
- a kind of person
particle
- (colloquial) Used to precede an approximate quotation or paraphrase or an expression of something that happened.
- (colloquial) a discourse marker used to highlight or put focus on new information or a new development in a story
- (colloquial, Scotland, Ireland, Geordie, Teesside, Liverpool) A delayed filler.
- (colloquial) Indicating approximation or uncertainty.
verb
- (with 'would' and in certain other phrases) To want, desire. See also would like.
- To prefer and maintain (an action) as a regular habit or activity.
- To find attractive; to prefer the company of; to have mild romantic feelings for.
- (chiefly dialectal, intransitive) To be likely.
- (informal, chiefly in the negative) Of a computer or other system: to tolerate as an input; to accept.
- (Internet, social media, transitive) To show support for, or approval of, something posted on the Internet by marking it with a vote.
- To enjoy, be pleased by; favor; be in favor of.
- (informal, personification) To be prone to.
- to hope, to desire or to prefer to have something, or to do something
- want to have
- be fond of
- find enjoyable or agreeable
- feel about or towards; consider, evaluate, or regard
prep_phrase
phrase
adj
- Of the same kind; alike, similar.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
adv
noun
- (India) Ellipsis of item girl.
- (by extension, video games) An object that can be picked up for later use.
- A distinct physical object.
- A short article in a newspaper.
- A matter for discussion in an agenda.
- A line of text having a legal or other meaning; a separate particular in an account.
- (psychometrics) A question on a test, which may include its answers.
- (informal) Two people who are having a romantic or sexual relationship with each other.
- an individual instance of a type of symbol
- a small part that can be considered separately from the whole
- a whole individual unit; especially when included in a list or collection
- an isolated fact that is considered separately from the whole
- a distinct part that can be specified separately in a group of things that could be enumerated on a list
verb
pron
adj
- Similar, alike.
- Not different or other; not another or others; not different as regards self; selfsame; identical.
- A reply of confirmation of identity.
- Used to express the unity of an object or person which has various different descriptions or qualities.
- Lacking variety from; indistinguishable.
- unchanged in character or nature
- same in identity
- closely similar or comparable in kind or quality or quantity or degree
- equal in amount or value
adv
intj
adj
- (not comparable) The same in one or more respects.
- (comparable) Adequate; sufficiently capable or qualified.
- The same in all respects that matter practically; interchangeable, fungible, or (even sometimes) identical for practical purposes.
- (mathematics, not comparable) Exactly identical, having the same value.
- The same in value (status, merit, etc): having or deserving the same rights or treatment.
- (music) Intended for voices of one kind only, either all male or all female; not mixed.
- having the same quantity, value, or measure as another
- having the requisite qualities or resources to meet a task
noun
verb
- (mathematics, copulative) To be equal to, to have the same value as; to correspond to.
- (copulative, informal) To have as consequence, to amount to, to mean.
- (transitive) To make equivalent to; to cause to match.
- (transitive) To match in degree or some other quality, to match up to.
- make equal, uniform, corresponding, or matching
- be identical or equivalent to
- be equal to in quality or ability
noun
- The state of things being similar or identical.
- The ideology of adhering to one standard or social uniformity.
- A point of resemblance; a similarity.
- The state of being conforming, of complying with a set of rules, with a norm or standard.
- acting according to certain accepted standards
- orthodoxy in thoughts and belief
- correspondence in form or appearance
- concurrence of opinion
- hardened conventionality
adj
adv
adj
- (figuratively) Analogous, similar, comparable.
- Having the same overall direction; the comparison is indicated with "to".
- (computing) Involving the processing of multiple tasks at the same time.
- (science fiction, of realities, dimensions, timelines, etc.) Coexisting but normally not interacting with the regular reality.
- (hyperbolic geometry, said of a pair of lines) Either not intersecting, or coinciding.
- Equally distant from one another at all points.
- being everywhere equidistant and not intersecting
- of or relating to the simultaneous performance of multiple operations
noun
- Something identical or similar in essential respects.
- (printing) A character consisting of two parallel vertical lines, used in the text to direct attention to a similarly marked note in the margin or at the foot of a page.
- (military) One of a series of long trenches constructed before a besieged fortress, by the besieging force, as a cover for troops supporting the attacking batteries. They are roughly parallel to the line of outer defenses of the fortress.
- (geography) A line of latitude.
- One of a set of parallel lines.
- Direction conformable to that of another line.
- A comparison made; elaborate tracing of similarity.
- An arrangement of electrical components such that a current flows along two or more paths; see in parallel.
- (mathematics) one of a set of parallel geometric figures (parallel lines or planes)
- something having the property of being analogous to something else
- an imaginary line around the Earth parallel to the equator
adv
verb
- Of a path etc: To be parallel to something else.
- To compare or liken something to something else.
- To construct or place something parallel to something else.
- To make to conform to something else in character, motive, aim, etc.
- To equal; to match; to correspond to.
- To produce or adduce as a parallel.
- Of a process etc: To be analogous to something else.
- make or place parallel to something
- duplicate or match
- be parallel to
prefix
adv
intj
noun
- (education, now uncommon) A copy made by (run off by) a ditto machine (especially, a worksheet thus reproduced).
- (historical, in the plural) A suit of clothes of the same color throughout.
- The ditto mark, 〃; a symbol, represented by two apostrophes, inverted commas, or quotation marks (" "), indicating that the item preceding is to be repeated.
- (by extension) A copy; an imitation.
- (US, informal) A duplicate or copy of a document, particularly one created by a spirit duplicator.
- That which was stated before, the aforesaid, the above, the same, likewise.
- a mark used to indicate the word above it should be repeated
verb
adj
verb
adv
- To a great extent.
- to a great degree or extent
- (slang) Combining with an adjective or (occasionally) a noun, used in a rhetorical question to mock someone for having the specified quality.
- (with a comparative adjective) for emphasis or to indicate a great difference
- (in combinations such as 'as much', 'this much') Used to indicate or compare extent.
- Often; frequently.
- (degree adverb used before a noun phrase) for all practical purposes but not completely
- incredibly
- frequently or in great quantities
det
pron
adj
noun
adj
- Similar or identical in value, meaning or effect; virtually equal.
- (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.
- (mathematics) Relating to the corresponding elements of an equivalence relation.
- (chemistry) Having the equal ability to combine.
- (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
- At the same time, at the same frequency.
- (computing, of communication) Single-threaded; blocking; occurring in the same thread as other computations, thereby preventing those computations from resuming until the communication is complete.
- occurring or existing at the same time or having the same period or phase
- (digital communication) pertaining to a transmission technique that requires a common clock signal (a timing reference) between the communicating devices in order to coordinate their transmissions
noun
- The state of things being similar or identical.
- The ideology of adhering to one standard or social uniformity.
- A point of resemblance; a similarity.
- The state of being conforming, of complying with a set of rules, with a norm or standard.
- acting according to certain accepted standards
- orthodoxy in thoughts and belief
- correspondence in form or appearance
- concurrence of opinion
- hardened conventionality
adj
- (figuratively) Analogous, similar, comparable.
- Having the same overall direction; the comparison is indicated with "to".
- (computing) Involving the processing of multiple tasks at the same time.
- (science fiction, of realities, dimensions, timelines, etc.) Coexisting but normally not interacting with the regular reality.
- (hyperbolic geometry, said of a pair of lines) Either not intersecting, or coinciding.
- Equally distant from one another at all points.
- being everywhere equidistant and not intersecting
- of or relating to the simultaneous performance of multiple operations
noun
- Something identical or similar in essential respects.
- (printing) A character consisting of two parallel vertical lines, used in the text to direct attention to a similarly marked note in the margin or at the foot of a page.
- (military) One of a series of long trenches constructed before a besieged fortress, by the besieging force, as a cover for troops supporting the attacking batteries. They are roughly parallel to the line of outer defenses of the fortress.
- (geography) A line of latitude.
- One of a set of parallel lines.
- Direction conformable to that of another line.
- A comparison made; elaborate tracing of similarity.
- An arrangement of electrical components such that a current flows along two or more paths; see in parallel.
- (mathematics) one of a set of parallel geometric figures (parallel lines or planes)
- something having the property of being analogous to something else
- an imaginary line around the Earth parallel to the equator
adv
verb
- Of a path etc: To be parallel to something else.
- To compare or liken something to something else.
- To construct or place something parallel to something else.
- To make to conform to something else in character, motive, aim, etc.
- To equal; to match; to correspond to.
- To produce or adduce as a parallel.
- Of a process etc: To be analogous to something else.
- make or place parallel to something
- duplicate or match
- be parallel to
Keine passenden Wörter gefunden. Versuchen Sie eine allgemeinere Beschreibung.
adv
- In the same manner or to the same extent as aforementioned; likewise, also.
- in the same way; also
- Indeed.
- (informal) at all (negative clause).
- To the (explicitly stated) extent.
- To the (implied) extent.
- (with as): To such an extent or degree; as.
- Very much.
- Very (positive or negative clause).
- to a very great extent or degree
- (used to introduce a logical conclusion) from that fact or reason or as a result
- in truth (often tends to intensify)
- in the way indicated
- (usually followed by ‘that’) to an extent or degree as expressed
- in a manner that facilitates
- in such a condition or manner, especially as expressed or implied
- subsequently or soon afterward (often used as sentence connectors)
- to a certain unspecified extent or degree
adj
conj
intj
- Used as a question to ask for further explanation of something said, often rhetorically or in a dismissive or impolite manner.
- Used as a meaningless filler word to begin a response to a question.
- Used after a pause for thought to introduce a new topic, question or story, or a new thought or question in continuation of an existing topic.
noun
pron
adv
conj
- Varying through time in the same proportion that.
- (law) used before a preposition to clarify that the prepositional phrase restricts the meaning of the sentence; specifically.
- Functioning as a relative conjunction, and sometimes like a relative pronoun: that, which, who. (See usage notes.)
- Expressing concession: though.
- At the same instant or moment that: when.
- At the same time that, during the same time when: while.
- In the (same) way or manner that; to the (same) degree that.
- Being that, considering that, because, since.
- Used to introduce a result: with the result that it is; as to
- Used after so or as to introduce a comparison.
noun
prep
adv
noun
- (India) Ellipsis of item girl.
- (by extension, video games) An object that can be picked up for later use.
- A distinct physical object.
- A short article in a newspaper.
- A matter for discussion in an agenda.
- A line of text having a legal or other meaning; a separate particular in an account.
- (psychometrics) A question on a test, which may include its answers.
- (informal) Two people who are having a romantic or sexual relationship with each other.
- an individual instance of a type of symbol
- a small part that can be considered separately from the whole
- a whole individual unit; especially when included in a list or collection
- an isolated fact that is considered separately from the whole
- a distinct part that can be specified separately in a group of things that could be enumerated on a list
verb
pron
adj
- Similar, alike.
- Not different or other; not another or others; not different as regards self; selfsame; identical.
- A reply of confirmation of identity.
- Used to express the unity of an object or person which has various different descriptions or qualities.
- Lacking variety from; indistinguishable.
- unchanged in character or nature
- same in identity
- closely similar or comparable in kind or quality or quantity or degree
- equal in amount or value
adv
intj
adv
intj
noun
- (education, now uncommon) A copy made by (run off by) a ditto machine (especially, a worksheet thus reproduced).
- (historical, in the plural) A suit of clothes of the same color throughout.
- The ditto mark, 〃; a symbol, represented by two apostrophes, inverted commas, or quotation marks (" "), indicating that the item preceding is to be repeated.
- (by extension) A copy; an imitation.
- (US, informal) A duplicate or copy of a document, particularly one created by a spirit duplicator.
- That which was stated before, the aforesaid, the above, the same, likewise.
- a mark used to indicate the word above it should be repeated
verb
adv
- To a great extent.
- to a great degree or extent
- (slang) Combining with an adjective or (occasionally) a noun, used in a rhetorical question to mock someone for having the specified quality.
- (with a comparative adjective) for emphasis or to indicate a great difference
- (in combinations such as 'as much', 'this much') Used to indicate or compare extent.
- Often; frequently.
- (degree adverb used before a noun phrase) for all practical purposes but not completely
- incredibly
- frequently or in great quantities
det
pron
adj
noun
adj
- The same.
- Sole, only.
- Of a period of time, being particular.
- In agreement.
- Whole, entire.
- Being a single, unspecified thing; a; any.
- (informal) very; used informally as an intensifier
- being a single entity made by combining separate components
- eminent beyond or above comparison
- indefinite in time or position
- of the same kind or quality
- used of a single unit or thing; not two or more
- having the indivisible character of a unit
det
noun
- A person or thing (having some specified characteristic or attribute).
- (cricket) One run scored by hitting the ball and running between the wickets; a single.
- (colloquial) A particularly special or compatible person or thing.
- (US) A one-dollar bill.
- One o'clock, either a.m. or p.m.
- A joke or amusing anecdote.
- (Internet slang, leetspeak, sarcastic) Deliberate misspelling of !, used to amplify an exclamation, parodying unskilled typists who forget to press the shift key while typing exclamation points, thus typing "1".
- An act of sexual intercourse.
- The digit or figure 1.
- (followed by for) A person with a tendency to do something.
- (mathematics) The identity element with respect to multiplication in a ring.
- An alcoholic drink, especially a pint or can of beer.
- a single person or thing
- the smallest whole number or a numeral representing this number
num
- (set theory) The cardinality of the smallest nonempty set.
- (number theory) The first positive number in the set of natural numbers.
- (mathematics) The ordinality of an element which has no predecessor, usually called first or number one.
- The number represented by the Arabic numeral 1; the numerical value equal to that cardinal number.
particle
- A nominalizer used to form a noun phrase without a head noun.
- Used at the end of a sentence to highlight the likelihood of something occurring, as a characteristic of something else.
- Used at the end of a sentence to highlight the originator of something.
- Used at the end of a sentence to highlight the characteristics of someone or something.
pron
- (Singlish, less common) Used as a relative pronoun at the end of a relative clause.
- (impersonal pronoun, sometimes with "the") The first mentioned of two things or people, as opposed to the other.
- (indefinite personal pronoun) Any person (applying to people in general).
- (pronoun) Any person, entity or thing.
- (impersonal pronoun, indefinite) One thing (among a group of others); one member of a group.
verb
adj
- Similar.
- (Scotland, Southern US, otherwise archaic; usually with to) inclined (to), prone (to).
- (Scotland, Southern US, otherwise archaic) Likely; probable.
- conforming in every respect
- having the same or similar characteristics
- resembling or similar; having the same or some of the same characteristics; often used in combination
- equal in amount or value
prep
conj
noun
- (golf) The stroke that equalizes the number of strokes played by the opposing player or side.
- (Internet) An individual vote showing support for, approval of, or enjoyment of, something posted on the Internet.
- (sometimes as the likes of) Someone similar to a given person, or something similar to a given object; a comparative; a type; a sort.
- (chiefly in the plural) Something that a person likes (prefers).
- a similar kind
- a kind of person
particle
- (colloquial) Used to precede an approximate quotation or paraphrase or an expression of something that happened.
- (colloquial) a discourse marker used to highlight or put focus on new information or a new development in a story
- (colloquial, Scotland, Ireland, Geordie, Teesside, Liverpool) A delayed filler.
- (colloquial) Indicating approximation or uncertainty.
verb
- (with 'would' and in certain other phrases) To want, desire. See also would like.
- To prefer and maintain (an action) as a regular habit or activity.
- To find attractive; to prefer the company of; to have mild romantic feelings for.
- (chiefly dialectal, intransitive) To be likely.
- (informal, chiefly in the negative) Of a computer or other system: to tolerate as an input; to accept.
- (Internet, social media, transitive) To show support for, or approval of, something posted on the Internet by marking it with a vote.
- To enjoy, be pleased by; favor; be in favor of.
- (informal, personification) To be prone to.
- to hope, to desire or to prefer to have something, or to do something
- want to have
- be fond of
- find enjoyable or agreeable
- feel about or towards; consider, evaluate, or regard
adj
- Of the same kind; alike, similar.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
pron
adj
- Similar, alike.
- Not different or other; not another or others; not different as regards self; selfsame; identical.
- A reply of confirmation of identity.
- Used to express the unity of an object or person which has various different descriptions or qualities.
- Lacking variety from; indistinguishable.
- unchanged in character or nature
- same in identity
- closely similar or comparable in kind or quality or quantity or degree
- equal in amount or value
adv
intj
adj
- (not comparable) The same in one or more respects.
- (comparable) Adequate; sufficiently capable or qualified.
- The same in all respects that matter practically; interchangeable, fungible, or (even sometimes) identical for practical purposes.
- (mathematics, not comparable) Exactly identical, having the same value.
- The same in value (status, merit, etc): having or deserving the same rights or treatment.
- (music) Intended for voices of one kind only, either all male or all female; not mixed.
- having the same quantity, value, or measure as another
- having the requisite qualities or resources to meet a task
noun
verb
- (mathematics, copulative) To be equal to, to have the same value as; to correspond to.
- (copulative, informal) To have as consequence, to amount to, to mean.
- (transitive) To make equivalent to; to cause to match.
- (transitive) To match in degree or some other quality, to match up to.
- make equal, uniform, corresponding, or matching
- be identical or equivalent to
- be equal to in quality or ability
adj
adv
adj
- (figuratively) Analogous, similar, comparable.
- Having the same overall direction; the comparison is indicated with "to".
- (computing) Involving the processing of multiple tasks at the same time.
- (science fiction, of realities, dimensions, timelines, etc.) Coexisting but normally not interacting with the regular reality.
- (hyperbolic geometry, said of a pair of lines) Either not intersecting, or coinciding.
- Equally distant from one another at all points.
- being everywhere equidistant and not intersecting
- of or relating to the simultaneous performance of multiple operations
noun
- Something identical or similar in essential respects.
- (printing) A character consisting of two parallel vertical lines, used in the text to direct attention to a similarly marked note in the margin or at the foot of a page.
- (military) One of a series of long trenches constructed before a besieged fortress, by the besieging force, as a cover for troops supporting the attacking batteries. They are roughly parallel to the line of outer defenses of the fortress.
- (geography) A line of latitude.
- One of a set of parallel lines.
- Direction conformable to that of another line.
- A comparison made; elaborate tracing of similarity.
- An arrangement of electrical components such that a current flows along two or more paths; see in parallel.
- (mathematics) one of a set of parallel geometric figures (parallel lines or planes)
- something having the property of being analogous to something else
- an imaginary line around the Earth parallel to the equator
adv
verb
- Of a path etc: To be parallel to something else.
- To compare or liken something to something else.
- To construct or place something parallel to something else.
- To make to conform to something else in character, motive, aim, etc.
- To equal; to match; to correspond to.
- To produce or adduce as a parallel.
- Of a process etc: To be analogous to something else.
- make or place parallel to something
- duplicate or match
- be parallel to
adj
verb
adj
- Similar or identical in value, meaning or effect; virtually equal.
- (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.
- (mathematics) Relating to the corresponding elements of an equivalence relation.
- (chemistry) Having the equal ability to combine.
- (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
- At the same time, at the same frequency.
- (computing, of communication) Single-threaded; blocking; occurring in the same thread as other computations, thereby preventing those computations from resuming until the communication is complete.
- occurring or existing at the same time or having the same period or phase
- (digital communication) pertaining to a transmission technique that requires a common clock signal (a timing reference) between the communicating devices in order to coordinate their transmissions