Parole in English per '(mathematics) Any function of a complex variable that is holomorphic throughout the complex plane'
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adj
- (mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable.
- (mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure.
- (mathematics, ring theory, of an element r of a ring) Such that 1 − r is a unit (has a multiplicative inverse).
- Having some regular characteristics.
- (geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex.
noun
- (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.
- (mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
noun
- (topology, complex analysis) The complex numbers extended with the number ∞; the complex plane (representation of the complex numbers as a Euclidean plane) extended with a single idealised point at infinity and consequently homeomorphic to a sphere in 3-dimensional Euclidean space.
- (topology, complex analysis) The 2-sphere embedded in Euclidean three-dimensional space and often represented as a unit sphere, regarded as a homeomorphic representation of the extended complex plane and thus the extended complex numbers.
adj
- (mathematics, algebra) Whose coefficients are complex numbers; defined over the field of complex numbers.
- (mathematics, mathematical analysis, of a function) Whose range is a subset of the complex numbers.
- Made up of multiple parts; composite; not simple.
- (geometry) A curve, polygon or other figure that crosses or intersects itself.
- Not simple, easy, or straightforward; complicated.
- (mathematics, of a number) Having the form a + bi, where a and b are real numbers and i is (by definition) the imaginary square root of −1.
- difficult to analyze or understand
- complicated in structure; consisting of interconnected parts
noun
- (psychology) A group of emotionally charged ideas or mental factors, unconsciously associated by the individual with a particular subject, arising from repressed instincts, fears, or desires and often resulting in mental abnormality.
- (taxonomy) A group of closely related species, often distinguished only with difficulty by traditional morphological methods.
- (linguistics) A multimorphemic word, one with several parts, one with affixes.
- A collection of buildings with a common purpose, such as a university or military base.
- An organized cluster of thunderstorms.
- (chemistry) A structure consisting of a central atom or molecule weakly connected to surrounding atoms or molecules, as for example coordination compounds in inorganic chemistry and protein complexes in biochemistry.
- (mathematics) A complex number.
- A fixed mental tendency or obsession.
- A cluster of wildfires burning in the same vicinity.
- An assemblage of related things; a collection.
- A network of interconnected systems.
- a conceptual whole made up of complicated and related parts
- a compound described in terms of the central atom to which other atoms are bound or coordinated
- a whole structure (as a building) made up of interconnected or related structures
- (psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior
verb
adj
- (complex analysis, of a (holomorphic) function) (Holomorphic and) injective.
- (chemistry) Having an atomic valence of 1, or having only one valence.
- (genetics) Of, or relating to, a chromosome that is not paired with its homologous chromosome during synapsis.
- (medicine) Having a vaccine valence of 1.
- having a valence of 1
- used of a chromosome that is not paired or united with its homologous chromosome during synapsis
noun
noun
- (mathematics) A function which negates the non-real part of a complex or hypercomplex number; a complex conjugation.
- (grammar, sometimes proscribed) The inflection of nouns or other words besides verbs; a declension.
- (grammar) The product of that act: the conjugated forms of a verb, collected into a list or recitation.
- (mathematics) A mapping sending x to gxg⁻¹, where g and x are elements of a group; an inner automorphism.
- (grammar) In some languages, one of several classifications of verbs categorized into distinct classes based on the specific inflectional patterns they exhibit.
- (grammar) The act or process of conjugating a verb.
- The coming together of things; a union.
- (law) Sexual relations within marriage.
- (chemistry) A system of delocalized orbitals consisting of alternating single bonds and double bonds.
- (biology) The temporary fusion of organisms, especially as part of sexual reproduction.
- the state of being joined together
- the act of pairing a male and female for reproductive purposes
- a class of verbs having the same inflectional forms
- the act of making or becoming a single unit
- the complete set of inflected forms of a verb
- the inflection of verbs
noun
- (complex analysis) A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.
- (modular arithmetic) A representative element of an equivalence class modulo some base, conventionally in the half-open interval from zero to the base; the nonnegative remainder after dividing a number by a base.
- (biochemistry) A molecule that is released from a polymer after bonds between neighbouring monomers are broken, such as an amino acid in a polypeptide chain.
- (law) Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator.
- (chemistry) The substance that remains after evaporation, distillation, filtration or any similar process.
- That which persists or remains following the removal or elimination of other elements.
- something left after other parts have been taken away
- matter that remains after something has been removed
noun
- (mathematics, complex analysis) A horizontal line placed over a complex number or expression to denote its complex conjugate.
- (logic, electronics) A horizontal line placed over a symbol or expression to denote logical negation (complement).
- (anatomy) A ligament that limits the movement of an organ or part.
- (Australia, surveying) A symbol in the shape of an elongated letter "S" (∫) or pair of hooks (⌠⌡) drawn on plans to join non-contiguous sections of land that are to be treated as a single parcel.
- (arithmetic, historical) A horizontal line placed over the characteristic (integer part) of a common logarithm to indicate that the characteristic is negative while the mantissa (decimal part) remains positive. Historically used to simplify the use of logarithm tables.
- (arithmetic) A horizontal line placed over one or more digits of a decimal expansion to indicate that those digits repeat indefinitely (the repetend).
- (arithmetic) The horizontal line between the numerator and denominator in a fraction.
- (mathematics, geometry) A horizontal line drawn over two letters to denote the line segment joining them.
- (arithmetic) A horizontal line over the top of some of the terms in an expression, indicating that that part of the calculation is to be done before other parts (in modern mathematical notation confined to use in radicals: √).
adj
- (complex analysis, of a complex function) Complex-differentiable on all of ℂ.
- (sometimes postpositive) Whole; complete.
- Internal; interior.
- (of a male animal) Not gelded.
- Morally whole; pure; sheer.
- (botany) Having a smooth margin without any indentation.
- (botany) Consisting of a single piece, as a corolla.
- (of leaves or petals) having a smooth edge; not broken up into teeth or lobes
- constituting the full quantity or extent; complete
- (used of domestic animals) sexually competent
- constituting the undiminished entirety; lacking nothing essential especially not damaged
noun
noun
- a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iteration
- (mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal.
noun
- (mathematics, complex analysis, always plural) Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be complex-differentiable.
- (complex analysis) The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.
noun
- (mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
- (by extension) An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
- (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
adj
adj
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- capable of being expressed as a quotient of integers
- consistent with or based on or using reason
noun
noun
- (mathematics) a representation of the space of complex numbers
- a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis; it can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis
adj
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- linear with respect to each of two variables or positions
noun
noun
- (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
- (informal, usually in the plural) The attractive shape of a woman's body.
- (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
- (topology) A one-dimensional continuum.
- (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
- A gentle bend, such as in a road.
- A simple figure containing no straight portions and no angles; a curved line.
- (nonstandard, by extension) A grading system where all raw scores are raised by a set amount of points.
- A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
- a pitch of a baseball that is thrown with spin so that its path curves as it approaches the batter
- curved segment (of a road or river or railroad track etc.)
- a line on a graph representing data
- the trace of a point whose direction of motion changes
- the property possessed by the curving of a line or surface
verb
- (transitive) To bend; to crook.
- (transitive) To grade on a curve (bell curve of a normal distribution).
- (intransitive) To bend or turn gradually from a given direction.
- (transitive) To cause to swerve from a straight course.
- (transitive, slang) To reject, to turn down romantic advances.
- extend in curves and turns
- form an arch or curve
- bend or cause to bend
- form a curl, curve, or kink
- turn sharply; change direction abruptly
noun
- (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
- root of an algebraic equation with rational coefficients
adj
- (most generally, category theory, of an object X in a locally small category 𝒞 that admits filtered colimits of monomorphism) Such that the functor operatorname Hom_( mathcal )C(X,·) preserves those filtered colimits of monomorphisms.
- (ring theory, of a (left) ideal in a ring R) Finitely generated as a (left) module over R.
- (of a space) Equipped with an Alexandrov topology (i.e. one where the intersection of every family of open sets is open).
- (abstract algebra, of a group-like structure: a group, module, ring, monoid, etc.) Having a finite set of generators, i.e. having a finite set of elements from which all other elements can be created in finitely many steps under the permitted operations (viz. the group operation for groups, addition and scalar multiplication for modules, addition and multiplication for rings, etc.)
- (less generally, but still covering most cases outside pure category theory, of an object X in a concrete category) Being a quotient object of a free object over a finite set, i.e. being the target of a regular epimorphism from an object which is free on a finite set.
noun
intj
noun
- (algebra, of a complex number) A complex conjugate.
- (algebra) More generally, any of a set of irrational or complex numbers that are zeros of the same polynomial with integral coefficients.
- (mathematics) An explementary angle.
- (grammar) A word agreeing in derivation with another word, and therefore generally resembling it in meaning.
- (algebra, field theory, of an element of an extension field) 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.
- (anatomy, obstetrics) A type of pelvic measurement.
- Any entity formed by joining two or more smaller entities together.
- (immunology) A weak and a strong antigen covalently linked together
- a mixture of two partially miscible liquids A and B produces two conjugate solutions: one of A in B and another of B in A
adj
- (grammar) Agreeing in derivation and radical signification; said of words.
- (botany) In single pairs; coupled.
- (chemistry) Containing two or more radicals supposed to act the part of a single one.
- United in pairs; yoked together; coupled.
- (mathematics) Presenting themselves simultaneously and having reciprocal properties; said of quantities, points, lines, axes, curves, etc.
- (of a pinnate leaflet) having only one pair of leaflets
- formed by the union of two compounds
- of an organic compound; containing two or more double bonds each separated from the other by a single bond
- joined together especially in a pair or pairs
verb
- (rare) To join together, to unite; to juxtapose.
- (biology, of bacteria and algae) To temporarily fuse, exchanging or transferring DNA.
- (grammar, transitive) To inflect (a verb) for each person, in order, for one or more tenses; to list or recite its principal parts.
- (mathematics) To multiply on the left by one element and on the right by its inverse.
- unite chemically so that the product is easily broken down into the original compounds
- undergo conjugation
- add inflections showing person, number, gender, tense, aspect, etc.
noun
- (algebraic topology, homological algebra, more generally) An element of a group (or module) in a chain complex.
- A livery collar, a chain of office.
- A unit of length, exactly equal to 22 yards, which is 4 rods or 100 links, and approximately equal to 20.12 metres; the length of a Gunter's surveying chain; the length of a cricket pitch.
- That which confines, fetters, or secures; a bond.
- A series of stores or businesses with the same brand name.
- A series of interconnected things.
- (weaving) The warp threads of a web.
- (British) A sequence of linked house purchases, each of which is dependent on the preceding and succeeding purchase (said to be "broken" if a buyer or seller pulls out).
- (surveying) A series of interconnected links of known length, used as a measuring device.
- A series of interconnected rings or links usually made of metal.
- (surveying) A long measuring tape.
- (mathematics, set theory, order theory) A totally ordered set, especially a totally ordered subset of a poset.
- (nautical, in the plural) Iron links bolted to the side of a vessel to bold the dead-eyes connected with the shrouds; also, the channels.
- (algebraic topology, originally) A formal sum of cells in a CW complex of a certain dimension k (in which case the formal sums are called k'''-chains); a formal sum of simplices or cubes of a certain dimension in a simplical complex or cubical complex (respectively).
- (organic chemistry, physical chemistry) A number of atoms in a series, which combine to form a molecule.
- a unit of length
- a series of things depending on each other as if linked together
- (chemistry) a series of linked atoms (generally in an organic molecule)
- anything that acts as a restraint
- a series of (usually metal) rings or links fitted into one another to make a flexible ligament
- a necklace made by stringing objects together
- a linked or connected series of objects
- (business) a number of similar establishments (stores or restaurants or banks or hotels or theaters) under one ownership
- a series of hills or mountains
verb
- (computing) To be chained to another data item.
- (transitive, computing, rare, associated with Acorn Computers) To load and automatically run (a program).
- (intransitive) To link multiple items together.
- (figurative) To connect as if with a chain, due to dependence, addiction, or other feelings
- (computing) To relate data items with a chain of pointers.
- (transitive) To measure a distance using a 66-foot long chain, as in land surveying.
- (figurative) To obligate.
- (transitive) To secure someone with fetters.
- (transitive) To fasten something with a chain.
- (transitive) To obstruct the mouth of a river etc with a chain.
- fasten or secure with chains
- connect or arrange into a chain by linking
noun
- a mathematical function whose graph (in Cartesian coordinates with uniform scales) is a line in the plane.
- (mathematics) Any function whose value on the sum of two elements is the sum of the values of the function on the two elements and whose value on the product of a scalar times an element is the scalar times the value of the function on the element: f(ax+by)=af(x)+bf(y)
- (mathematics) Any function whose graph is a straight line: f(x)=ax+b
noun
- (specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.
- (mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
noun
- (topology, complex analysis) The complex numbers extended with the number ∞; the complex plane (representation of the complex numbers as a Euclidean plane) extended with a single idealised point at infinity and consequently homeomorphic to a sphere in 3-dimensional Euclidean space.
- (topology, complex analysis) The 2-sphere embedded in Euclidean three-dimensional space and often represented as a unit sphere, regarded as a homeomorphic representation of the extended complex plane and thus the extended complex numbers.
noun
- (mathematics) A function which negates the non-real part of a complex or hypercomplex number; a complex conjugation.
- (grammar, sometimes proscribed) The inflection of nouns or other words besides verbs; a declension.
- (grammar) The product of that act: the conjugated forms of a verb, collected into a list or recitation.
- (mathematics) A mapping sending x to gxg⁻¹, where g and x are elements of a group; an inner automorphism.
- (grammar) In some languages, one of several classifications of verbs categorized into distinct classes based on the specific inflectional patterns they exhibit.
- (grammar) The act or process of conjugating a verb.
- The coming together of things; a union.
- (law) Sexual relations within marriage.
- (chemistry) A system of delocalized orbitals consisting of alternating single bonds and double bonds.
- (biology) The temporary fusion of organisms, especially as part of sexual reproduction.
- the state of being joined together
- the act of pairing a male and female for reproductive purposes
- a class of verbs having the same inflectional forms
- the act of making or becoming a single unit
- the complete set of inflected forms of a verb
- the inflection of verbs
noun
- (complex analysis) A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.
- (modular arithmetic) A representative element of an equivalence class modulo some base, conventionally in the half-open interval from zero to the base; the nonnegative remainder after dividing a number by a base.
- (biochemistry) A molecule that is released from a polymer after bonds between neighbouring monomers are broken, such as an amino acid in a polypeptide chain.
- (law) Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator.
- (chemistry) The substance that remains after evaporation, distillation, filtration or any similar process.
- That which persists or remains following the removal or elimination of other elements.
- something left after other parts have been taken away
- matter that remains after something has been removed
noun
- (mathematics, complex analysis) A horizontal line placed over a complex number or expression to denote its complex conjugate.
- (logic, electronics) A horizontal line placed over a symbol or expression to denote logical negation (complement).
- (anatomy) A ligament that limits the movement of an organ or part.
- (Australia, surveying) A symbol in the shape of an elongated letter "S" (∫) or pair of hooks (⌠⌡) drawn on plans to join non-contiguous sections of land that are to be treated as a single parcel.
- (arithmetic, historical) A horizontal line placed over the characteristic (integer part) of a common logarithm to indicate that the characteristic is negative while the mantissa (decimal part) remains positive. Historically used to simplify the use of logarithm tables.
- (arithmetic) A horizontal line placed over one or more digits of a decimal expansion to indicate that those digits repeat indefinitely (the repetend).
- (arithmetic) The horizontal line between the numerator and denominator in a fraction.
- (mathematics, geometry) A horizontal line drawn over two letters to denote the line segment joining them.
- (arithmetic) A horizontal line over the top of some of the terms in an expression, indicating that that part of the calculation is to be done before other parts (in modern mathematical notation confined to use in radicals: √).
noun
- a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iteration
- (mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal.
noun
- (mathematics, complex analysis, always plural) Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be complex-differentiable.
- (complex analysis) The equivalent single equation (∂f)/(∂x)+i(∂f)/(∂y)=0.
noun
- (mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
- (by extension) An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
- (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
adj
noun
- (mathematics) a representation of the space of complex numbers
- a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis; it can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis
noun
- (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
- (informal, usually in the plural) The attractive shape of a woman's body.
- (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
- (topology) A one-dimensional continuum.
- (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
- A gentle bend, such as in a road.
- A simple figure containing no straight portions and no angles; a curved line.
- (nonstandard, by extension) A grading system where all raw scores are raised by a set amount of points.
- A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.
- a pitch of a baseball that is thrown with spin so that its path curves as it approaches the batter
- curved segment (of a road or river or railroad track etc.)
- a line on a graph representing data
- the trace of a point whose direction of motion changes
- the property possessed by the curving of a line or surface
verb
- (transitive) To bend; to crook.
- (transitive) To grade on a curve (bell curve of a normal distribution).
- (intransitive) To bend or turn gradually from a given direction.
- (transitive) To cause to swerve from a straight course.
- (transitive, slang) To reject, to turn down romantic advances.
- extend in curves and turns
- form an arch or curve
- bend or cause to bend
- form a curl, curve, or kink
- turn sharply; change direction abruptly
noun
- (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
- root of an algebraic equation with rational coefficients
noun
intj
noun
- (algebra, of a complex number) A complex conjugate.
- (algebra) More generally, any of a set of irrational or complex numbers that are zeros of the same polynomial with integral coefficients.
- (mathematics) An explementary angle.
- (grammar) A word agreeing in derivation with another word, and therefore generally resembling it in meaning.
- (algebra, field theory, of an element of an extension field) 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.
- (anatomy, obstetrics) A type of pelvic measurement.
- Any entity formed by joining two or more smaller entities together.
- (immunology) A weak and a strong antigen covalently linked together
- a mixture of two partially miscible liquids A and B produces two conjugate solutions: one of A in B and another of B in A
adj
- (grammar) Agreeing in derivation and radical signification; said of words.
- (botany) In single pairs; coupled.
- (chemistry) Containing two or more radicals supposed to act the part of a single one.
- United in pairs; yoked together; coupled.
- (mathematics) Presenting themselves simultaneously and having reciprocal properties; said of quantities, points, lines, axes, curves, etc.
- (of a pinnate leaflet) having only one pair of leaflets
- formed by the union of two compounds
- of an organic compound; containing two or more double bonds each separated from the other by a single bond
- joined together especially in a pair or pairs
verb
- (rare) To join together, to unite; to juxtapose.
- (biology, of bacteria and algae) To temporarily fuse, exchanging or transferring DNA.
- (grammar, transitive) To inflect (a verb) for each person, in order, for one or more tenses; to list or recite its principal parts.
- (mathematics) To multiply on the left by one element and on the right by its inverse.
- unite chemically so that the product is easily broken down into the original compounds
- undergo conjugation
- add inflections showing person, number, gender, tense, aspect, etc.
noun
- (algebraic topology, homological algebra, more generally) An element of a group (or module) in a chain complex.
- A livery collar, a chain of office.
- A unit of length, exactly equal to 22 yards, which is 4 rods or 100 links, and approximately equal to 20.12 metres; the length of a Gunter's surveying chain; the length of a cricket pitch.
- That which confines, fetters, or secures; a bond.
- A series of stores or businesses with the same brand name.
- A series of interconnected things.
- (weaving) The warp threads of a web.
- (British) A sequence of linked house purchases, each of which is dependent on the preceding and succeeding purchase (said to be "broken" if a buyer or seller pulls out).
- (surveying) A series of interconnected links of known length, used as a measuring device.
- A series of interconnected rings or links usually made of metal.
- (surveying) A long measuring tape.
- (mathematics, set theory, order theory) A totally ordered set, especially a totally ordered subset of a poset.
- (nautical, in the plural) Iron links bolted to the side of a vessel to bold the dead-eyes connected with the shrouds; also, the channels.
- (algebraic topology, originally) A formal sum of cells in a CW complex of a certain dimension k (in which case the formal sums are called k'''-chains); a formal sum of simplices or cubes of a certain dimension in a simplical complex or cubical complex (respectively).
- (organic chemistry, physical chemistry) A number of atoms in a series, which combine to form a molecule.
- a unit of length
- a series of things depending on each other as if linked together
- (chemistry) a series of linked atoms (generally in an organic molecule)
- anything that acts as a restraint
- a series of (usually metal) rings or links fitted into one another to make a flexible ligament
- a necklace made by stringing objects together
- a linked or connected series of objects
- (business) a number of similar establishments (stores or restaurants or banks or hotels or theaters) under one ownership
- a series of hills or mountains
verb
- (computing) To be chained to another data item.
- (transitive, computing, rare, associated with Acorn Computers) To load and automatically run (a program).
- (intransitive) To link multiple items together.
- (figurative) To connect as if with a chain, due to dependence, addiction, or other feelings
- (computing) To relate data items with a chain of pointers.
- (transitive) To measure a distance using a 66-foot long chain, as in land surveying.
- (figurative) To obligate.
- (transitive) To secure someone with fetters.
- (transitive) To fasten something with a chain.
- (transitive) To obstruct the mouth of a river etc with a chain.
- fasten or secure with chains
- connect or arrange into a chain by linking
noun
- a mathematical function whose graph (in Cartesian coordinates with uniform scales) is a line in the plane.
- (mathematics) Any function whose value on the sum of two elements is the sum of the values of the function on the two elements and whose value on the product of a scalar times an element is the scalar times the value of the function on the element: f(ax+by)=af(x)+bf(y)
- (mathematics) Any function whose graph is a straight line: f(x)=ax+b
Nessuna parola corrispondente trovata. Prova una descrizione più ampia.
adj
- (mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable.
- (mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure.
- (mathematics, ring theory, of an element r of a ring) Such that 1 − r is a unit (has a multiplicative inverse).
- Having some regular characteristics.
- (geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex.
adj
- (mathematics, algebra) Whose coefficients are complex numbers; defined over the field of complex numbers.
- (mathematics, mathematical analysis, of a function) Whose range is a subset of the complex numbers.
- Made up of multiple parts; composite; not simple.
- (geometry) A curve, polygon or other figure that crosses or intersects itself.
- Not simple, easy, or straightforward; complicated.
- (mathematics, of a number) Having the form a + bi, where a and b are real numbers and i is (by definition) the imaginary square root of −1.
- difficult to analyze or understand
- complicated in structure; consisting of interconnected parts
noun
- (psychology) A group of emotionally charged ideas or mental factors, unconsciously associated by the individual with a particular subject, arising from repressed instincts, fears, or desires and often resulting in mental abnormality.
- (taxonomy) A group of closely related species, often distinguished only with difficulty by traditional morphological methods.
- (linguistics) A multimorphemic word, one with several parts, one with affixes.
- A collection of buildings with a common purpose, such as a university or military base.
- An organized cluster of thunderstorms.
- (chemistry) A structure consisting of a central atom or molecule weakly connected to surrounding atoms or molecules, as for example coordination compounds in inorganic chemistry and protein complexes in biochemistry.
- (mathematics) A complex number.
- A fixed mental tendency or obsession.
- A cluster of wildfires burning in the same vicinity.
- An assemblage of related things; a collection.
- A network of interconnected systems.
- a conceptual whole made up of complicated and related parts
- a compound described in terms of the central atom to which other atoms are bound or coordinated
- a whole structure (as a building) made up of interconnected or related structures
- (psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior
verb
adj
- (complex analysis, of a (holomorphic) function) (Holomorphic and) injective.
- (chemistry) Having an atomic valence of 1, or having only one valence.
- (genetics) Of, or relating to, a chromosome that is not paired with its homologous chromosome during synapsis.
- (medicine) Having a vaccine valence of 1.
- having a valence of 1
- used of a chromosome that is not paired or united with its homologous chromosome during synapsis
noun
adj
- (complex analysis, of a complex function) Complex-differentiable on all of ℂ.
- (sometimes postpositive) Whole; complete.
- Internal; interior.
- (of a male animal) Not gelded.
- Morally whole; pure; sheer.
- (botany) Having a smooth margin without any indentation.
- (botany) Consisting of a single piece, as a corolla.
- (of leaves or petals) having a smooth edge; not broken up into teeth or lobes
- constituting the full quantity or extent; complete
- (used of domestic animals) sexually competent
- constituting the undiminished entirety; lacking nothing essential especially not damaged
noun
adj
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- capable of being expressed as a quotient of integers
- consistent with or based on or using reason
noun
adj
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- linear with respect to each of two variables or positions
noun
adj
- (most generally, category theory, of an object X in a locally small category 𝒞 that admits filtered colimits of monomorphism) Such that the functor operatorname Hom_( mathcal )C(X,·) preserves those filtered colimits of monomorphisms.
- (ring theory, of a (left) ideal in a ring R) Finitely generated as a (left) module over R.
- (of a space) Equipped with an Alexandrov topology (i.e. one where the intersection of every family of open sets is open).
- (abstract algebra, of a group-like structure: a group, module, ring, monoid, etc.) Having a finite set of generators, i.e. having a finite set of elements from which all other elements can be created in finitely many steps under the permitted operations (viz. the group operation for groups, addition and scalar multiplication for modules, addition and multiplication for rings, etc.)
- (less generally, but still covering most cases outside pure category theory, of an object X in a concrete category) Being a quotient object of a free object over a finite set, i.e. being the target of a regular epimorphism from an object which is free on a finite set.