Слова на English для 'In a comparable manner.'
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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
noun
- a similar kind
- (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 kind of person
conj
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
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
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
prep_phrase
prefix
- Similar, in the same form of, resembling.
- (biology) Relating to epigenetics.
- Upon, atop, directly on top of in terms of position.
- Front or anterior in position.
- Entirety, a system being referred to as a whole.
- Mapping onto, passing along, resolving to.
- Upwards in direction or growth.
- Overlapping in position.
- Outside of in position.
- Secondary: a consequence, by-product, additional, or lesser version.
- Located on the surface.
- (chemistry) Denotes an epimeric form.
- (biology) Epidemiology
- Covering: the root entity is covered.
- After in time.
- (zoology) Epibiotic: an organism that lives on another organism.
- Near in position.
- Surrounding in position: the edges of the root entity.
- Top: a part that is positioned at the uppermost of multiple levels.
- Above in location or position.
- Outward in direction or projection.
- More, above a usual quantity, additional in quantity.
- A part or segment that is located on the upper part of an object.
- A part or location that is outer, particularly an outer layer.
- Outranked, above in rank.
- Beyond, meta, transcending.
- Shallow in depth.
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
pron
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
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
prep_phrase
adj
verb
noun
noun
verb
- be comparable
- examine and note the similarities or differences of
- to form the comparative or superlative form on an adjective or adverb
- consider or describe as similar, equal, or analogous
- (transitive, grammar) To form the three degrees of comparison of (an adjective).
- (transitive) To assess the similarities and differences between two or more things ["to compare X with Y"]. Having made the comparison of X with Y, one might have found it similar to Y or different from Y.
- (transitive) To declare two things to be similar in some respect ["to compare X to Y"].
- (intransitive) To be similar (often used in the negative).
noun
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
- (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
- Resemblance; analogy.
- (games, countable) In reversi, the last move within a given sector of the board.
- (mathematics, countable) A set with the property of having all of its elements belonging to one of two disjoint subsets, especially a set of integers split in subsets of even and odd elements.
- (physics, countable) Symmetry of interactions under spatial inversion.
- (agriculture, countable) The number of times a sow has farrowed.
- (computing) The count of one bits in a value, reduced to even or odd or zero or one.
- (uncountable) Equality; comparability of strength or intensity.
- (mathematics, countable) The classification of an element of a set with parity into one of the two sets.
- (medicine, countable) The number of delivered pregnancies reaching viable gestational age, usually between 20-28 weeks.
- (physics) parity is conserved in a universe in which the laws of physics are the same in a right-handed system of coordinates as in a left-handed system
- (computer science) a bit that is used in an error detection procedure in which a 0 or 1 is added to each group of bits so that it will have either an odd number of 1's or an even number of 1's; e.g., if the parity is odd then any group of bits that arrives with an even number of 1's must contain an error
- (obstetrics) the number of liveborn children a woman has delivered
- functional equality
- (mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity
adj
- similar or equivalent in some respects though otherwise dissimilar
- corresponding in function but not in evolutionary origin
- (biology) Functionally similar, but arising through convergent evolution rather than being homologous.
- Having analogy, the status of an analogue; corresponding to something else; bearing some resemblance or similar proportion (often followed by "to".)
adj
noun
- a journalist employed to provide news stories for newspapers or broadcast media
- someone who communicates by means of letters
- Something which corresponds with something else; counterpart.
- Someone who communicates with another person, or a publication, by writing.
- A journalist who sends reports back to a newspaper or radio or television station from a distant or overseas location.
phrase
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
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
noun
- a similar kind
- (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 kind of person
conj
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
noun
noun
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
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
noun
- Resemblance; analogy.
- (games, countable) In reversi, the last move within a given sector of the board.
- (mathematics, countable) A set with the property of having all of its elements belonging to one of two disjoint subsets, especially a set of integers split in subsets of even and odd elements.
- (physics, countable) Symmetry of interactions under spatial inversion.
- (agriculture, countable) The number of times a sow has farrowed.
- (computing) The count of one bits in a value, reduced to even or odd or zero or one.
- (uncountable) Equality; comparability of strength or intensity.
- (mathematics, countable) The classification of an element of a set with parity into one of the two sets.
- (medicine, countable) The number of delivered pregnancies reaching viable gestational age, usually between 20-28 weeks.
- (physics) parity is conserved in a universe in which the laws of physics are the same in a right-handed system of coordinates as in a left-handed system
- (computer science) a bit that is used in an error detection procedure in which a 0 or 1 is added to each group of bits so that it will have either an odd number of 1's or an even number of 1's; e.g., if the parity is odd then any group of bits that arrives with an even number of 1's must contain an error
- (obstetrics) the number of liveborn children a woman has delivered
- functional equality
- (mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity
verb
- be comparable
- examine and note the similarities or differences of
- to form the comparative or superlative form on an adjective or adverb
- consider or describe as similar, equal, or analogous
- (transitive, grammar) To form the three degrees of comparison of (an adjective).
- (transitive) To assess the similarities and differences between two or more things ["to compare X with Y"]. Having made the comparison of X with Y, one might have found it similar to Y or different from Y.
- (transitive) To declare two things to be similar in some respect ["to compare X to Y"].
- (intransitive) To be similar (often used in the negative).
noun
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
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
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
noun
- a similar kind
- (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 kind of person
conj
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
- (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
- 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
pron
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
adj
verb
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
- similar or equivalent in some respects though otherwise dissimilar
- corresponding in function but not in evolutionary origin
- (biology) Functionally similar, but arising through convergent evolution rather than being homologous.
- Having analogy, the status of an analogue; corresponding to something else; bearing some resemblance or similar proportion (often followed by "to".)
adj
noun
- a journalist employed to provide news stories for newspapers or broadcast media
- someone who communicates by means of letters
- Something which corresponds with something else; counterpart.
- Someone who communicates with another person, or a publication, by writing.
- A journalist who sends reports back to a newspaper or radio or television station from a distant or overseas location.
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