English-Wörter für 'Within a module.'
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noun
noun
- (architecture) A fixed part of a module.
- (informal) A short but unspecified time period.
- An old coin, a half farthing.
- A unit of time which is one sixtieth of an hour (sixty seconds).
- A unit of purchase on a telephone or other similar network, especially a cell phone network, roughly equivalent in gross form to sixty seconds' use of the network.
- A point in time; a moment.
- A unit of angle equal to one-sixtieth of a degree.
- (chiefly in the plural, minutes) A (usually formal) written record of a meeting or a part of a meeting.
- A nautical or a geographic mile.
- (slang, US, Canada, dialectal) A while or a long unspecified period of time.
- a short note
- a unit of time equal to 60 seconds or 1/60th of an hour
- a unit of angular distance equal to a 60th of a degree
- a particular point in time
- an indefinitely short time
- distance measured by the time taken to cover it
adj
verb
noun
adj
- Consisting of separate modules; especially where each module performs or fulfills some specified function and could be replaced by a similar module for the same function, independently of the other modules.
- (chiefly mathematics) Of or relating to a module or modules.
- Relating to mode or modulation.
- constructed with standardized units or dimensions allowing flexibility and variety in use
adj
- (module theory, of a module) Being non-trivial, and having no proper non-trivial submodules (equivalently, no proper non-trivial quotient modules).
- Uncomplicated; lacking complexity; taken by itself, with nothing added.
- Free from duplicity; guileless, innocent, straightforward.
- (botany) Not compound, but possibly lobed.
- Easy; not difficult.
- (now colloquial, euphemistic) Feeble-minded; foolish.
- (zoology) Consisting of a single individual or zooid; not compound.
- (algebra, of a Lie algebra) Being non-abelian and having no proper non-zero ideals. (Note that this is non-equivalent to the usual algebra sense; in particular, the abelian Lie algebra of dimension 1 over any given field is non-trivial and has no proper non-zero ideals, but is by convention not considered simple.)
- (mineralogy) Homogenous.
- (ring theory, of a ring) Being non-zero, and having no proper non-zero two-sided ideals (equivalently, no proper non-trivial quotient rings). For commutative rings, this definition coincides with that of a field.
- Without ornamentation; plain.
- (mathematics, real analysis, measure theory, of a real-valued function) Equal to a finite linear combination of indicator functions on measurable sets.
- (group theory, of a group) Being non-trivial, and having no proper non-trivial normal subgroups (equivalently, no proper non-trivial quotient groups).
- Undistinguished in social condition; of no special rank.
- (category theory, of an object in a category with a terminal object) Being non-isomorphic to the terminal object, and such that its only quotient objects (up to isomorphism) are the terminal object and itself.
- (chemistry, pharmacology) Consisting of one single substance; uncompounded.
- Using steam only once in its cylinders, in contrast to a compound engine, where steam is used more than once in high-pressure and low-pressure cylinders. (of a steam engine)
- (universal algebra, of an algebraic structure) Containing more than one element, and such that the only congruences on the structure are the diagonal relation (the equivalence relation a≡b⟺a=b) and the universal relation (the equivalence relation such that a≡b for all a,b). Equivalently, containing more than one element and having no proper non-trivial quotient algebras.
- exhibiting childlike simplicity and credulity
- (botany) of leaf shapes; of leaves having no divisions or subdivisions
- having few parts; not complex or complicated or involved
- apart from anything else; without additions or modifications
- easy and not involved or complicated
- lacking mental capacity and subtlety
- unornamented
noun
- (weaving) A drawloom.
- (logic) A simple or atomic proposition.
- (pharmacology) A herbal preparation made from one plant, as opposed to something made from more than one plant.
- (Roman Catholicism) A feast which is not a double or a semidouble.
- (weaving) Part of the apparatus for raising the heddles of a drawloom.
- a person lacking intelligence or common sense
- any herbaceous plant having medicinal properties
noun
intj
verb
adj
- (ring theory, of a module (or algebra) over a ring) finitely generated (as a module).
- (grammar) Limited by (i.e. inflected for) person or number.
- Having an end or limit; (of a quantity) constrained by bounds; (of a set) whose number of elements is a natural number.
- bounded or limited in magnitude or spatial or temporal extent
- (of verbs) relating to forms of the verb that are limited in time by a tense and (usually) show agreement with number and person
noun
adj
- (module theory, of a (left) module M over a ring R) Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
- (category theory, most generally, of an object P in a category) Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
- projecting outward
- (of a geometric object, figure, etc.) Defined in or inhabiting a projective space.
- of, relating to, or caused by a projection
- (now usually in set phrases, of a property of a geometric object, figure, etc.) Invariant under projective transformations.
- (homological algebra, of a resolution) Such that every object in the resolution is projective.
- (group theory, of a profinite group G) Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
noun
- (mathematics) A projective member of a category.
- (psychology) An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
- (linguistics) A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
noun
- (construction) The structure and assembly of modules on the deck of any floating installation.
- (UK, Australia, New Zealand) The outer side of a round of beef.
- The side or part of something that is at the top.
- (construction) The structure and assembly of modules above the jacket or gravity base sub structure.
- (nautical) The surface of a ship’s hull that is above the water line.
- (usually plural) weather deck; the part of a ship's hull that is above the waterline
adj
adv
adv
- on the inside
- within a building
- with respect to private feelings
- in reality
- (colloquial) In or to prison.
- Within or towards the interior of something; within the scope or limits of something (a place), especially a building.
- Indoors.
- Intimately, secretly; without expressing what one is feeling or thinking.
adj
- being or applying to the inside of a building
- confined to an exclusive group
- relating to or being on the side closer to the center or within a defined space
- away from the outer edge
- Of or pertaining to the inner surface, limit or boundary.
- (baseball, of a pitch) Toward the batter as it crosses home plate.
- Nearer to the interior or centre of something.
- Originating from, arranged by, or being someone inside an organisation.
- At or towards or the left-hand side of the road if one drives on the left, or right-hand side if one drives on the right.
- (of a person) Legally married to or related to (e.g. born in wedlock to), and/or residing with, a specified other person (parent, child, or partner); (of a marriage, relationship, etc) existing between two such people.
noun
- the inner or enclosed surface of something
- the region that is inside of something
- The left-hand side of a road if one drives on the left, or right-hand side if one drives on the right.
- The interior or inner part.
- The side of a curved road, racetrack etc. that has the shorter arc length; the side of a racetrack nearer the interior of the course or some other point of reference.
- (slang) The inside scoop; information known only to certain involved people.
- (colloquial, in the plural) The interior organs of the body, especially the guts.
prep
noun
- (computing) A module or device that interacts with another to add a specific feature or function.
- Anything that plugs into something.
- An air freshener that can be charged by connecting it to the mains power supply.
- An electric vehicle that can be recharged from an external power source.
- a printed circuit that can be inserted into expansion slots in a computer to increase the computer's capabilities
- a software module that extends or enhances the capabilities of an existing application
adj
noun
- (programming) A module that generally remains in memory only for a short time.
- (Philippines) A homestay.
- Something that is transient.
- A homeless person.
- A person who passes through a place for a short time; a traveller; a migrant worker.
- (physics) A transient phenomenon, especially an electric current; a very brief surge.
- (acoustics) A relatively loud, non-repeating signal in an audio waveform that occurs very quickly, such as the attack of a snare drum.
- one who stays for only a short time
- (physics) a short-lived oscillation in a system caused by a sudden change of voltage or current or load
adj
- Occasional; isolated; one-off
- (music) Intermediate.
- Passing through; passing from one person to another.
- (mathematics, stochastic processes, of a state) having a positive probability of being left and never being visited again.
- (physics) Decaying with time, especially exponentially.
- Passing or disappearing with time; transitory.
- (philosophy) Operating beyond itself; having an external effect.
- Remaining for only a brief time.
- of a mental act; causing effects outside the mind
- lasting a very short time
prep
- Contained by; inside.
- Pertaining to; with regard to.
- Part of; a member of; out of; from among.
- Wearing (an item of clothing).
- Surrounded by; among; amidst.
- (grammar, phonetics) Characterized by.
- Used to indicate a language, script, tone, etc. of a text, speech, etc.
- Within (a certain elapsed time); by the end of.
- Indicates, connotatively, a place-like form of someone's (or something's) personality, as his, her or its psychic and physical characteristics.
- By (doing something); indicating action causing an effect or achieving a purpose.
- Indicating an order or arrangement.
- Denoting a state of the subject.
- Expressing abstract containment.
- At the end of (a period of time).
- Within the bounds or limits of.
- Into.
- (of something offered or given in an exchange) In the form of, in the denomination of.
- During (a period of time).
adj
- In fashion; popular.
- (of fire or fuel) (British, Ireland, Australia, New Zealand) Burning; ablaze.
- (not comparable) Located indoors, especially at home or at one's office or place of work.
- Of the tide, at or near its highest level.
- Having been collected or received.
- (not comparable) Located inside something.
- Inserted or fitted into something.
- (sports, of the ball or other playing implement) Falling or remaining within the bounds of the playing area.
- (informal) Having a favourable position, such as a position of influence or expected gain, in relation to another person.
- Incoming.
- Having familiarity or involvement with somebody.
- (cricket) Currently batting.
- Having used, consumed , or invested a certain amount.
- (nautical, of the sails of a vessel) Furled or stowed.
- (law) With privilege or possession; used to denote a holding, possession, or seisin
- currently fashionable
- holding office
- directed or bound inward
adv
- At or towards the interior of a defined space, such as a building or room.
- After the beginning of something.
- Towards the speaker or other reference point.
- So as to be enclosed or surrounded by something.
- (in combination, after a verb) Denotes a gathering of people assembled for the stated activity, sometimes, though not always, suggesting a protest.
- to or toward the inside of
noun
noun
- a module designed to be inserted into a larger piece of equipment
- a light-tight supply chamber holding the film and supplying it for exposure as required
- an electro-acoustic transducer that is the part of the arm of a record player that holds the needle and that is removable
- ammunition consisting of a cylindrical casing containing an explosive charge and a bullet; fired from a rifle or handgun
- (computing) Magnetic tape storage, used for storing (backup) copies of data.
- (computing) A removable enclosure containing read-only memory devices, used for rapid loading of software onto a home computer or video game console.
- (by extension) A prefabricated subassembly that can be easily installed in or removed from a larger mechanism or replaced with another interchangeable subassembly.
- (firearms) The package consisting of the bullet, primer, and casing containing gunpowder; a round of ammunition.
- (computing) A vessel which contains the ink or toner for a computer printer and can be easily replaced with another.
noun
- (algebra, ring theory, of a module) The intersection of maximal submodules of a given module.
- (linguistics) In logographic writing systems such as the Chinese writing system, the portion of a character (if any) that provides an indication of its meaning, as opposed to phonetic.
- (organic chemistry) A free radical.
- (chemistry) A group of atoms, joined by covalent bonds, that take part in reactions as a single unit.
- (algebra, commutative algebra, ring theory, of an ideal) Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or √, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xⁿ ∈ I; equivalently, the intersection of all prime ideals containing I.
- A person with radical opinions.
- (number theory) The product of the distinct prime factors of a given positive integer.
- (arithmetic) A root (of a number or quantity).
- (historical, early 20th-century France) A member of an influential, centrist political party favouring moderate social reform, a republican constitution, and secular politics.
- (linguistics) In Semitic languages, any one of the set of consonants (typically three) that make up a root.
- (algebra, ring theory, of a ring) Given a ring R, an ideal containing elements of R that share a property considered, in some sense, "not good".
- (historical, 19th-century Britain, politics) A member of the most progressive wing of the Liberal Party; someone favouring social reform (but generally stopping short of socialism).
- (linguistics) In Celtic languages, the basic, underlying form of an initial consonant which can be further mutated under the Celtic initial consonant mutations.
- a character conveying the lexical meaning of a logogram
- (linguistics) the form of a word after all affixes are removed
- an atom or group of atoms with at least one unpaired electron; in the body it is usually an oxygen molecule that has lost an electron and will stabilize itself by stealing an electron from a nearby molecule
- (chemistry) two or more atoms bound together as a single unit and forming part of a molecule
- (mathematics) a quantity expressed as the root of another quantity
- a person who has radical ideas or opinions
adj
- (mathematics) Relating to a radix or mathematical root.
- Pertaining to the basic or intrinsic nature of something.
- Thoroughgoing; far-reaching.
- (slang) Excellent; awesome.
- (chemistry, not comparable) Involving free radicals.
- (lexicography, not comparable) Of or pertaining to the root of a word.
- Favoring fundamental change, or change at the root cause of a matter.
- (phonology, phonetics, not comparable, of a sound) Produced using the root of the tongue.
- (botany, not comparable) Pertaining to a root (of a plant).
- of or relating to or constituting a linguistic root
- (used of opinions and actions) far beyond the norm
- markedly new or introducing radical change
- especially of leaves; located at the base of a plant or stem; especially arising directly from the root or rootstock or a root-like stem
- arising from or going to the root or source
verb
- contain as a part
- have as a necessary feature
- connect closely and often incriminatingly
- make complex or intricate or complicated
- require as useful, just, or proper
- occupy or engage the interest of
- engage as a participant
- (figuratively) To entangle, intertwine, or mingle (something with one or more other things, or several things together); especially, to entangle (someone or something) in a confusing or troublesome situation.
- To have (something) as a component or a related part; to comprise, to include.
- To cause or engage (someone or something) to become connected or implicated, or to participate, in some activity or situation.
- (specifically, also reflexive, chiefly passive voice) Chiefly followed by with: to engage (someone or oneself) in an emotional or sexual relationship.
- (specifically) To include (something) as a logical or natural, or necessary component, or consequence or effect of something else; to entail, to imply.
adj
- (algebra, module theory, of a (left) module M over a ring R) Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module.
- (homological algebra, of a resolution) Such that the objects (usually modules) involved in the resolution are injective (in the algebraic senses above).
- (mathematics) Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
- (category theory, most generally, of an object Q in a category C) Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.
adj
- (of a module) In which any ascending chain of submodules eventually becomes constant.
- (of a topological space) In which any ascending chain of open subsets eventually becomes constant.
- (algebraic geometry, of a scheme) admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;
- (mathematics, of a binary relation on a set) Such that the converse relation is well-founded (on that set).
- (of a group) In which any ascending chain of subgroups eventually becomes constant.
- (of a ring) In which any ascending chain of ideals eventually becomes constant.
noun
noun
- (architecture) A fixed part of a module.
- (informal) A short but unspecified time period.
- An old coin, a half farthing.
- A unit of time which is one sixtieth of an hour (sixty seconds).
- A unit of purchase on a telephone or other similar network, especially a cell phone network, roughly equivalent in gross form to sixty seconds' use of the network.
- A point in time; a moment.
- A unit of angle equal to one-sixtieth of a degree.
- (chiefly in the plural, minutes) A (usually formal) written record of a meeting or a part of a meeting.
- A nautical or a geographic mile.
- (slang, US, Canada, dialectal) A while or a long unspecified period of time.
- a short note
- a unit of time equal to 60 seconds or 1/60th of an hour
- a unit of angular distance equal to a 60th of a degree
- a particular point in time
- an indefinitely short time
- distance measured by the time taken to cover it
adj
verb
noun
noun
intj
verb
noun
- (construction) The structure and assembly of modules on the deck of any floating installation.
- (UK, Australia, New Zealand) The outer side of a round of beef.
- The side or part of something that is at the top.
- (construction) The structure and assembly of modules above the jacket or gravity base sub structure.
- (nautical) The surface of a ship’s hull that is above the water line.
- (usually plural) weather deck; the part of a ship's hull that is above the waterline
adj
adv
noun
- (computing) A module or device that interacts with another to add a specific feature or function.
- Anything that plugs into something.
- An air freshener that can be charged by connecting it to the mains power supply.
- An electric vehicle that can be recharged from an external power source.
- a printed circuit that can be inserted into expansion slots in a computer to increase the computer's capabilities
- a software module that extends or enhances the capabilities of an existing application
adj
noun
- (programming) A module that generally remains in memory only for a short time.
- (Philippines) A homestay.
- Something that is transient.
- A homeless person.
- A person who passes through a place for a short time; a traveller; a migrant worker.
- (physics) A transient phenomenon, especially an electric current; a very brief surge.
- (acoustics) A relatively loud, non-repeating signal in an audio waveform that occurs very quickly, such as the attack of a snare drum.
- one who stays for only a short time
- (physics) a short-lived oscillation in a system caused by a sudden change of voltage or current or load
adj
- Occasional; isolated; one-off
- (music) Intermediate.
- Passing through; passing from one person to another.
- (mathematics, stochastic processes, of a state) having a positive probability of being left and never being visited again.
- (physics) Decaying with time, especially exponentially.
- Passing or disappearing with time; transitory.
- (philosophy) Operating beyond itself; having an external effect.
- Remaining for only a brief time.
- of a mental act; causing effects outside the mind
- lasting a very short time
noun
- a module designed to be inserted into a larger piece of equipment
- a light-tight supply chamber holding the film and supplying it for exposure as required
- an electro-acoustic transducer that is the part of the arm of a record player that holds the needle and that is removable
- ammunition consisting of a cylindrical casing containing an explosive charge and a bullet; fired from a rifle or handgun
- (computing) Magnetic tape storage, used for storing (backup) copies of data.
- (computing) A removable enclosure containing read-only memory devices, used for rapid loading of software onto a home computer or video game console.
- (by extension) A prefabricated subassembly that can be easily installed in or removed from a larger mechanism or replaced with another interchangeable subassembly.
- (firearms) The package consisting of the bullet, primer, and casing containing gunpowder; a round of ammunition.
- (computing) A vessel which contains the ink or toner for a computer printer and can be easily replaced with another.
noun
- (algebra, ring theory, of a module) The intersection of maximal submodules of a given module.
- (linguistics) In logographic writing systems such as the Chinese writing system, the portion of a character (if any) that provides an indication of its meaning, as opposed to phonetic.
- (organic chemistry) A free radical.
- (chemistry) A group of atoms, joined by covalent bonds, that take part in reactions as a single unit.
- (algebra, commutative algebra, ring theory, of an ideal) Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or √, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xⁿ ∈ I; equivalently, the intersection of all prime ideals containing I.
- A person with radical opinions.
- (number theory) The product of the distinct prime factors of a given positive integer.
- (arithmetic) A root (of a number or quantity).
- (historical, early 20th-century France) A member of an influential, centrist political party favouring moderate social reform, a republican constitution, and secular politics.
- (linguistics) In Semitic languages, any one of the set of consonants (typically three) that make up a root.
- (algebra, ring theory, of a ring) Given a ring R, an ideal containing elements of R that share a property considered, in some sense, "not good".
- (historical, 19th-century Britain, politics) A member of the most progressive wing of the Liberal Party; someone favouring social reform (but generally stopping short of socialism).
- (linguistics) In Celtic languages, the basic, underlying form of an initial consonant which can be further mutated under the Celtic initial consonant mutations.
- a character conveying the lexical meaning of a logogram
- (linguistics) the form of a word after all affixes are removed
- an atom or group of atoms with at least one unpaired electron; in the body it is usually an oxygen molecule that has lost an electron and will stabilize itself by stealing an electron from a nearby molecule
- (chemistry) two or more atoms bound together as a single unit and forming part of a molecule
- (mathematics) a quantity expressed as the root of another quantity
- a person who has radical ideas or opinions
adj
- (mathematics) Relating to a radix or mathematical root.
- Pertaining to the basic or intrinsic nature of something.
- Thoroughgoing; far-reaching.
- (slang) Excellent; awesome.
- (chemistry, not comparable) Involving free radicals.
- (lexicography, not comparable) Of or pertaining to the root of a word.
- Favoring fundamental change, or change at the root cause of a matter.
- (phonology, phonetics, not comparable, of a sound) Produced using the root of the tongue.
- (botany, not comparable) Pertaining to a root (of a plant).
- of or relating to or constituting a linguistic root
- (used of opinions and actions) far beyond the norm
- markedly new or introducing radical change
- especially of leaves; located at the base of a plant or stem; especially arising directly from the root or rootstock or a root-like stem
- arising from or going to the root or source
verb
- contain as a part
- have as a necessary feature
- connect closely and often incriminatingly
- make complex or intricate or complicated
- require as useful, just, or proper
- occupy or engage the interest of
- engage as a participant
- (figuratively) To entangle, intertwine, or mingle (something with one or more other things, or several things together); especially, to entangle (someone or something) in a confusing or troublesome situation.
- To have (something) as a component or a related part; to comprise, to include.
- To cause or engage (someone or something) to become connected or implicated, or to participate, in some activity or situation.
- (specifically, also reflexive, chiefly passive voice) Chiefly followed by with: to engage (someone or oneself) in an emotional or sexual relationship.
- (specifically) To include (something) as a logical or natural, or necessary component, or consequence or effect of something else; to entail, to imply.
adv
- on the inside
- within a building
- with respect to private feelings
- in reality
- (colloquial) In or to prison.
- Within or towards the interior of something; within the scope or limits of something (a place), especially a building.
- Indoors.
- Intimately, secretly; without expressing what one is feeling or thinking.
adj
- being or applying to the inside of a building
- confined to an exclusive group
- relating to or being on the side closer to the center or within a defined space
- away from the outer edge
- Of or pertaining to the inner surface, limit or boundary.
- (baseball, of a pitch) Toward the batter as it crosses home plate.
- Nearer to the interior or centre of something.
- Originating from, arranged by, or being someone inside an organisation.
- At or towards or the left-hand side of the road if one drives on the left, or right-hand side if one drives on the right.
- (of a person) Legally married to or related to (e.g. born in wedlock to), and/or residing with, a specified other person (parent, child, or partner); (of a marriage, relationship, etc) existing between two such people.
noun
- the inner or enclosed surface of something
- the region that is inside of something
- The left-hand side of a road if one drives on the left, or right-hand side if one drives on the right.
- The interior or inner part.
- The side of a curved road, racetrack etc. that has the shorter arc length; the side of a racetrack nearer the interior of the course or some other point of reference.
- (slang) The inside scoop; information known only to certain involved people.
- (colloquial, in the plural) The interior organs of the body, especially the guts.
prep
adj
- Consisting of separate modules; especially where each module performs or fulfills some specified function and could be replaced by a similar module for the same function, independently of the other modules.
- (chiefly mathematics) Of or relating to a module or modules.
- Relating to mode or modulation.
- constructed with standardized units or dimensions allowing flexibility and variety in use
adj
- (module theory, of a module) Being non-trivial, and having no proper non-trivial submodules (equivalently, no proper non-trivial quotient modules).
- Uncomplicated; lacking complexity; taken by itself, with nothing added.
- Free from duplicity; guileless, innocent, straightforward.
- (botany) Not compound, but possibly lobed.
- Easy; not difficult.
- (now colloquial, euphemistic) Feeble-minded; foolish.
- (zoology) Consisting of a single individual or zooid; not compound.
- (algebra, of a Lie algebra) Being non-abelian and having no proper non-zero ideals. (Note that this is non-equivalent to the usual algebra sense; in particular, the abelian Lie algebra of dimension 1 over any given field is non-trivial and has no proper non-zero ideals, but is by convention not considered simple.)
- (mineralogy) Homogenous.
- (ring theory, of a ring) Being non-zero, and having no proper non-zero two-sided ideals (equivalently, no proper non-trivial quotient rings). For commutative rings, this definition coincides with that of a field.
- Without ornamentation; plain.
- (mathematics, real analysis, measure theory, of a real-valued function) Equal to a finite linear combination of indicator functions on measurable sets.
- (group theory, of a group) Being non-trivial, and having no proper non-trivial normal subgroups (equivalently, no proper non-trivial quotient groups).
- Undistinguished in social condition; of no special rank.
- (category theory, of an object in a category with a terminal object) Being non-isomorphic to the terminal object, and such that its only quotient objects (up to isomorphism) are the terminal object and itself.
- (chemistry, pharmacology) Consisting of one single substance; uncompounded.
- Using steam only once in its cylinders, in contrast to a compound engine, where steam is used more than once in high-pressure and low-pressure cylinders. (of a steam engine)
- (universal algebra, of an algebraic structure) Containing more than one element, and such that the only congruences on the structure are the diagonal relation (the equivalence relation a≡b⟺a=b) and the universal relation (the equivalence relation such that a≡b for all a,b). Equivalently, containing more than one element and having no proper non-trivial quotient algebras.
- exhibiting childlike simplicity and credulity
- (botany) of leaf shapes; of leaves having no divisions or subdivisions
- having few parts; not complex or complicated or involved
- apart from anything else; without additions or modifications
- easy and not involved or complicated
- lacking mental capacity and subtlety
- unornamented
noun
- (weaving) A drawloom.
- (logic) A simple or atomic proposition.
- (pharmacology) A herbal preparation made from one plant, as opposed to something made from more than one plant.
- (Roman Catholicism) A feast which is not a double or a semidouble.
- (weaving) Part of the apparatus for raising the heddles of a drawloom.
- a person lacking intelligence or common sense
- any herbaceous plant having medicinal properties
adj
- (ring theory, of a module (or algebra) over a ring) finitely generated (as a module).
- (grammar) Limited by (i.e. inflected for) person or number.
- Having an end or limit; (of a quantity) constrained by bounds; (of a set) whose number of elements is a natural number.
- bounded or limited in magnitude or spatial or temporal extent
- (of verbs) relating to forms of the verb that are limited in time by a tense and (usually) show agreement with number and person
noun
adj
- (module theory, of a (left) module M over a ring R) Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
- (category theory, most generally, of an object P in a category) Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
- projecting outward
- (of a geometric object, figure, etc.) Defined in or inhabiting a projective space.
- of, relating to, or caused by a projection
- (now usually in set phrases, of a property of a geometric object, figure, etc.) Invariant under projective transformations.
- (homological algebra, of a resolution) Such that every object in the resolution is projective.
- (group theory, of a profinite group G) Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
noun
- (mathematics) A projective member of a category.
- (psychology) An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
- (linguistics) A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
adj
- (algebra, module theory, of a (left) module M over a ring R) Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module.
- (homological algebra, of a resolution) Such that the objects (usually modules) involved in the resolution are injective (in the algebraic senses above).
- (mathematics) Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
- (category theory, most generally, of an object Q in a category C) Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.
noun
- (computing) A module or device that interacts with another to add a specific feature or function.
- Anything that plugs into something.
- An air freshener that can be charged by connecting it to the mains power supply.
- An electric vehicle that can be recharged from an external power source.
- a printed circuit that can be inserted into expansion slots in a computer to increase the computer's capabilities
- a software module that extends or enhances the capabilities of an existing application
adj
adj
- (of a module) In which any ascending chain of submodules eventually becomes constant.
- (of a topological space) In which any ascending chain of open subsets eventually becomes constant.
- (algebraic geometry, of a scheme) admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;
- (mathematics, of a binary relation on a set) Such that the converse relation is well-founded (on that set).
- (of a group) In which any ascending chain of subgroups eventually becomes constant.
- (of a ring) In which any ascending chain of ideals eventually becomes constant.