English-Wörter für 'proof of a mathematical theorem'
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noun
- (mathematics) A method of proof of a theorem by first proving it for a specific case (often an integer; usually 0 or 1) and showing that, if it is true for one case then it must be true for the next.
- An act of inducting.
- (embryology) Given a group of cells that emits or displays a substance, the influence of this substance on the fate of a second group of cells.
- (logic) Derivation of general principles from specific instances.
- (mechanical engineering) The delivery of air to the cylinders of an internal combustion piston engine.
- The process of showing a newcomer around a place where they will work or study.
- (theater) Use of rumors to twist and complicate the plot of a play or to narrate in a way that does not have to state truth nor fact within the play.
- A formal ceremony in which a person is appointed to an office or into military service.
- An act of inducing.
- (physics) Generation of an electric current by a varying magnetic field.
- (medicine) The process of inducing labour for the childbirth process.
- stimulation that calls up (draws forth) a particular class of behaviors
- an electrical phenomenon whereby an electromotive force (EMF) is generated in a closed circuit by a change in the flow of current
- an act that sets in motion some course of events
- a formal entry into an organization or position or office
- reasoning from detailed facts to general principles
- the act of bringing about something (especially at an early time)
verb
- prove formally; demonstrate by a mathematical, formal proof
- be shown or be found to be
- obtain probate of
- establish the validity of something, as by an example, explanation or experiment
- cause to puff up with a leaven
- provide evidence for
- put to the test, as for its quality, or give experimental use to
- take a trial impression of
- increase in volume
- Alternative form of proof (“allow (dough) to rise; test the activeness of (yeast); pressure-test (a firearm)”).
- (copulative) To turn out to be.
- (homeopathy) To determine by experiment which effects a substance causes when ingested.
- (transitive) To ascertain or establish the genuineness or validity of; to verify.
- (intransitive) To turn out; to manifest.
- simple past of proove
- (transitive) To put to the test, to make trial of.
- (transitive) To demonstrate that something is true or viable; to give proof for; to bear out; to testify.
noun
noun
- (mathematics) Initialism of probabilistically checkable proof.
- (medicine) Abbreviation of pneumocystis pneumonia.
- (finance) Initialism of personal contract purchase.
- (organic chemistry) Abbreviation of pentachlorophenol.
- (biochemistry) Initialism of peptidyl carrier protein.
- (healthcare) Initialism of primary care practitioner (who may be a physician, a physician assistant, or a nurse practitioner).
- (chemistry) Abbreviation of phenylcyclohexylpiperidine, an alternative name for phencyclidine.
- (psychology) Initialism of personal construct psychology.
- (healthcare) Initialism of primary care physician.
- a drug used as an anesthetic by veterinarians; illicitly taken (originally in the form of powder or ‘dust’) for its effects as a hallucinogen
- a person who helps in identifying or preventing or treating illness or disability
name
noun
name
phrase
noun
- a means of proving a theorem by showing that if it is true of any particular case, it is true of the next case in a series, and then showing that it is indeed true in one particular case.
- (mathematics) A method of proof which, in terms of a predicate P, could be stated as: if P(0) is true and if for any natural number n>0, P(n) implies P(n+1), then P(n) is true for any natural number n.
noun
- (mathematics, philosophy) A proof.
- proof by a process of argument or a series of proposition proving an asserted conclusion
- A show of military force.
- Expression of one's feelings by outward signs.
- An event at which something will be demonstrated.
- A public display of group opinion, such as a protest march.
- The act of demonstrating; showing or explaining something.
- (prison slang) A prisoner's act of beating up another prisoner.
- a public display of group feelings (usually of a political nature)
- a show of military force or preparedness
- a show or display; the act of presenting something to sight or view
- a visual presentation showing how something works
noun
- (mathematics) A formal proof: a sequence of statements, each of which is logically entailed by those preceding (with respect to some collection of rules of inference), the initial statements being taken as axioms.
- (grammar) Forming a new word by changing the base of another word or by adding affixes to it.
- A leading or drawing off of water from a stream or source.
- The process of deriving one thing from another, especially in logic; a deduction.
- That which is derived; a derivative; the result of a deduction.
- The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.
- The state or method of being derived; the relation of origin when established or asserted.
- (mathematics, differential algebra) An algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.
- Any of several generalizations of this notion: a Hasse–Schmidt derivation, a graded derivation, etc.
- (medicine, historical) A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.
- (genealogy, linguistics) The act of tracing origin or descent; an instance thereof (for example, an etymology).
- (mathematics, calculus) The process of application of the derivative operator to a function, yielding another function called the derived function of the first.
- That from which a thing is derived.
- (descriptive linguistics) the process whereby new words are formed from existing words or bases by affixation
- drawing of fluid or inflammation away from a diseased part of the body
- inherited properties shared with others of your bloodline
- a line of reasoning that shows how a conclusion follows logically from accepted propositions
- (historical linguistics) an explanation of the historical origins of a word or phrase
- the source or origin from which something derives (i.e. comes or issues)
- the act of deriving something or obtaining something from a source or origin
- drawing off water from its main channel as for irrigation
noun
- proof by a process of argument or a series of proposition proving an asserted conclusion
- (Roman Catholic Church) a vessel (usually of gold or silver) in which the consecrated Host is exposed for adoration
- (Christianity) An ornamental, often precious receptacle, either open or with a transparent cover, in which the sacramental bread (consecrated host) is placed for Eucharistic adoration.
noun
- (mathematics) A proposition proved or accepted for immediate use in the proof of some other proposition.
- (psycholinguistics) The theoretical abstract conceptual form of a word, representing a specific meaning, before the creation of a specific phonological form as the sounds of a lexeme, which may find representation in a specific written form as a dictionary or lexicographic word.
- (linguistics, lexicography) The canonical form of an inflected word; i.e., the form usually found as the headword in a dictionary, such as the nominative singular of a noun, the bare infinitive of a verb, etc.
- (in phrases, by extension) A proposition originally used for such a purpose, but having later acquired a greater, independent, importance; a fundamental (often pithy) and widely-used result.
- (botany) The outer shell of a fruit or similar body.
- (botany) One of the specialized bracts around the floret in grasses.
- the lower and stouter of the two glumes immediately enclosing the floret in most Gramineae
- the heading that indicates the subject of an annotation or a literary composition or a dictionary entry
- a subsidiary proposition that is assumed to be true in order to prove another proposition
noun
name
adj
- (mathematics) Self-evident.
- (taxonomy) Relating to or designating the name of a species; specific as opposed to generic.
- Pertaining to the trivium.
- (algebra, of an algebraic structure or ideal thereof) Containing only one element; having an underlying set which is a singleton.
- Commonplace, ordinary.
- (philosophy) Indistinguishable in case of truth or falsity.
- Concerned with or involving trivia.
- (mathematics) Of, relating to, or being the simplest possible case.
- Ignorable; of little significance or value.
- of little substance or significance
- concerned with trivialities
- (informal) small and of little importance
noun
- (mathematics) A proof, axiom, problem, or definition that includes another's cases, and also some additional cases; a conclusion reached by inferring from specific cases to more general cases or principles.
- The formulation of general concepts from specific instances by abstracting common properties.
- An oversimplified or exaggerated conception, opinion, or image of the members of a group.
- Inductive reasoning from detailed facts to general principles.
- An act or instance of generalizing; concluding that something true of a subclass is true of the entire class.
- an idea or conclusion having general application
- (psychology) transfer of a response learned to one stimulus to a similar stimulus
- reasoning from detailed facts to general principles
- the process of formulating general concepts by abstracting common properties of instances
noun
- (figuratively) A demonstration, an example, a proof.
- (UK) A channel or passage of water between sandbanks, or between a sandbank and a seashore.
- (figuratively) A clump or portion of something.
- A selection of such samples bound together.
- A piece, pattern, or sample, generally of cloth or a similar material.
- a sample piece of cloth
verb
noun
- (uncountable, mathematics) The mathematical study of relationships between rigorously defined concepts and of mathematical proof of statements.
- (countable, sociology) A system of thought or collection of rhetoric, especially one associated with a social practice.
- (uncountable) A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.
- (countable) Any system of thought, whether rigorous and productive or not, especially one associated with a particular person.
- (countable, mathematics) A formal or informal language together with a deductive system or a model-theoretic semantics.
- (philosophy, logic) The study of the principles and criteria of valid inference and demonstration.
- (uncountable) The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.
- a system of reasoning
- the branch of philosophy that analyzes inference
- the system of operations performed by a computer that underlies the machine's representation of logical operations
- the principles that guide reasoning within a given field or situation
- reasoned and reasonable judgment
adj
verb
noun
adj
- Of or relating to military operations that are smaller or more local than strategic ones.
- Adroit, skilful or ingenious.
- (firearms) Having a military appearance, typically with accessories such as a bipod, adjustable stock, detachable magazine or black coloration.
- Of or relating to tactics.
- of or pertaining to tactic or tactics
noun
- an argument that assumes that which is to be proved
- one trouble leads to another that aggravates the first
- A situation in which the response to one problem creates a chain of problems, each making it more difficult to solve the original one.
- (logic) A fallacy in which the premise is used to prove a conclusion which is then used to prove the premise.
noun
- (countable, mathematics) An assertion which is provably true, but not important enough to be called a theorem.
- (countable) An idea, plan, or suggestion offered.
- (grammar) A complete sentence.
- (uncountable) The act of offering (an idea) for consideration.
- (poetic) The part of a poem in which the author states the subject or matter of it.
- (countable, business settings) The terms of a transaction offered.
- (countable, US, politics) In some states, a proposed statute or constitutional amendment to be voted on by the electorate.
- A statement of religious doctrine; an article of faith; a creed.
- (countable, logic) The content of an assertion that may be taken as being true or false and is considered abstractly without reference to the linguistic sentence that constitutes the assertion; (Aristotelian logic) a predicate of a subject that is denied or affirmed and is connected by a copula.
- (informal) A suggestion of sexual intercourse (made to someone with whom one is not sexually involved).
- Misspelling of preposition.
- (countable, mathematics, philosophy) An assertion so formulated that it can be considered true or false.
- a task to be dealt with
- an offer for a private bargain (especially a request for sexual favors)
- (logic) a statement that affirms or denies something and is either true or false
- a proposal offered for acceptance or rejection
- the act of making a proposal
verb
noun
- (mathematics) A proof, axiom, problem, or definition whose cases are completely covered by another, broader concept.
- The act or process of specializing.
- (biology) The adaptation of an organism to a specific environment, or adaptation of an organ to a particular function.
- The area in which someone specializes.
- the act of specializing; making something suitable for a special purpose
- the special line of work you have adopted as your career
- (biology) the structural adaptation of some body part for a particular function
noun
- (countable, logic) Proof by deduction from known truths.
- (countable) Decomposition into components in order to study (a complex thing, concept, theory, etc.).
- (countable, analytical chemistry, physical chemistry) The process of breaking down a substance into its constituent parts, or the result of this process.
- (uncountable, mathematics) A broad field of study in modern mathematics (often mentioned alongside algebra) which developed out of the calculus, concerned with the behavior of functions, sequences, series, limits, metric spaces, measures and more.
- (uncountable, music) The analytical study of melodies, harmonies, sequences, repetitions, variations, quotations, juxtapositions, and surprises.
- (countable) The result of such a process.
- (countable, psychology) Psychoanalysis.
- the abstract separation of a whole into its constituent parts in order to study the parts and their relations
- a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
- the use of closed-class words instead of inflections: e.g., ‘the father of the bride’ instead of ‘the bride's father’
- a set of techniques for exploring underlying motives and a method of treating various mental disorders; based on the theories of Sigmund Freud
- a form of literary criticism in which the structure of a piece of writing is analyzed
- an investigation of the component parts of a whole and their relations in making up the whole
adj
- Affording proof; demonstrative.
- (logic) Of the characteristic feature of a proposition that is necessary (or impossible): perfectly certain (or inconceivable) or incontrovertibly true (or false); self-evident.
- Incontrovertible; demonstrably true or certain.
- of a proposition; necessarily true or logically certain
noun
- (mathematics, logic) The method of disproving a statement by assuming the statement is true and, with that assumption, arriving at a blatant contradiction.
- (reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd; or a proof of a proposition by showing that its negation leads to a contradiction
verb
- prove false
- make false by mutilation or addition; as of a message or story
- falsify knowingly
- insert words into texts, often falsifying it thereby
- tamper, with the purpose of deception
- To counterfeit; to forge.
- (sciences, otherwise archaic) To prove to be false.
- (accounting) To show (an item of charge inserted in an account) to be wrong.
- To alter so as to make false; especially when done with intent to deceive.
- To misrepresent.
adj
noun
- (logic) an inference that follows directly from the proof of another proposition
- (mathematics, logic) A proposition which follows easily from the statement or proof of another proposition.
- An a fortiori occurrence, as a result of another effort without significant additional effort.
- A gift beyond what is actually due; an addition or superfluity.
- a practical consequence that follows naturally
noun
- drawing a figure satisfying certain conditions as part of solving a problem or proving a theorem
- the creation of a construct; the process of combining ideas into a congruous object of thought
- the commercial activity involved in repairing old structures or constructing new ones
- a group of words that form a constituent of a sentence and are considered as a single unit
- a thing constructed; a complex entity constructed of many parts
- an interpretation of a text or action
- the act of constructing something
- The meaning or interpretation of a text, action etc.; the way something is viewed by an observer or onlooker.
- Anything that has been constructed.
- The act or result of construing the meaning of something.
- A building, model or some other structure.
- The trade of building structures.
- The manner in which something is built.
- The process of constructing.
- (art) A (usually non-representational) structure, such as a collage etc.
- (grammar) A group of words arranged to form a meaningful phrase.
- (geometry) A geometric figure of arcs and line segments that is drawable with a straightedge and compass.
name
- A theorem describing a necessary and sufficient condition for three lines that are perpendicular to the (extended) sides of a triangle having a common point of intersection.
- A theorem describing a relation between conic sections and triangles.
- (geometry) A theorem stating that the sum of the signed distances from the circumcenter D to the sides of an arbitrary triangle ABC is DF + DG + DH = R + r, where r is the inradius and R the circumradius of the triangle.
- (thermodynamics) A theorem for the maximum efficiency obtainable from a heat engine.
verb
- refer to for illustration or proof
- repeat a passage from
- refer to
- commend
- make reference to
- call in an official matter, such as to attend court
- advance evidence for
- To mention by way of explanation.
- (transitive, law) To summon officially or authoritatively to appear in court.
- (transitive) To quote; to repeat, as a passage from a book, or the words of another.
- (transitive) To mention; to make mention of.
- To list the source(s) from which one took information, words or literary or verbal context.
noun
verb
- refer to for illustration or proof
- repeat a passage from
- name the price of
- put quote marks around
- (intransitive) To indicate verbally or by equivalent means the start of a quotation.
- (transitive) To prepare a summary of work to be done and set a price; to estimate.
- (commerce, transitive) To name the current price, notably of a financial security.
- (transitive) To repeat (the exact words of a person).
noun
- a punctuation mark used to attribute the enclosed text to someone else
- a passage or expression that is quoted or cited
- A price set and offered (by the potential seller) for a financial security or commodity; a quotation.
- A statement attributed to a person; a quotation.
- A summary of work to be done with a set price; a quotation.
- A quotation mark.
intj
noun
- (mathematics) A method of proof of a theorem by first proving it for a specific case (often an integer; usually 0 or 1) and showing that, if it is true for one case then it must be true for the next.
- An act of inducting.
- (embryology) Given a group of cells that emits or displays a substance, the influence of this substance on the fate of a second group of cells.
- (logic) Derivation of general principles from specific instances.
- (mechanical engineering) The delivery of air to the cylinders of an internal combustion piston engine.
- The process of showing a newcomer around a place where they will work or study.
- (theater) Use of rumors to twist and complicate the plot of a play or to narrate in a way that does not have to state truth nor fact within the play.
- A formal ceremony in which a person is appointed to an office or into military service.
- An act of inducing.
- (physics) Generation of an electric current by a varying magnetic field.
- (medicine) The process of inducing labour for the childbirth process.
- stimulation that calls up (draws forth) a particular class of behaviors
- an electrical phenomenon whereby an electromotive force (EMF) is generated in a closed circuit by a change in the flow of current
- an act that sets in motion some course of events
- a formal entry into an organization or position or office
- reasoning from detailed facts to general principles
- the act of bringing about something (especially at an early time)
noun
- (mathematics) Initialism of probabilistically checkable proof.
- (medicine) Abbreviation of pneumocystis pneumonia.
- (finance) Initialism of personal contract purchase.
- (organic chemistry) Abbreviation of pentachlorophenol.
- (biochemistry) Initialism of peptidyl carrier protein.
- (healthcare) Initialism of primary care practitioner (who may be a physician, a physician assistant, or a nurse practitioner).
- (chemistry) Abbreviation of phenylcyclohexylpiperidine, an alternative name for phencyclidine.
- (psychology) Initialism of personal construct psychology.
- (healthcare) Initialism of primary care physician.
- a drug used as an anesthetic by veterinarians; illicitly taken (originally in the form of powder or ‘dust’) for its effects as a hallucinogen
- a person who helps in identifying or preventing or treating illness or disability
name
noun
name
phrase
noun
- a means of proving a theorem by showing that if it is true of any particular case, it is true of the next case in a series, and then showing that it is indeed true in one particular case.
- (mathematics) A method of proof which, in terms of a predicate P, could be stated as: if P(0) is true and if for any natural number n>0, P(n) implies P(n+1), then P(n) is true for any natural number n.
noun
- (mathematics, philosophy) A proof.
- proof by a process of argument or a series of proposition proving an asserted conclusion
- A show of military force.
- Expression of one's feelings by outward signs.
- An event at which something will be demonstrated.
- A public display of group opinion, such as a protest march.
- The act of demonstrating; showing or explaining something.
- (prison slang) A prisoner's act of beating up another prisoner.
- a public display of group feelings (usually of a political nature)
- a show of military force or preparedness
- a show or display; the act of presenting something to sight or view
- a visual presentation showing how something works
noun
- (mathematics) A formal proof: a sequence of statements, each of which is logically entailed by those preceding (with respect to some collection of rules of inference), the initial statements being taken as axioms.
- (grammar) Forming a new word by changing the base of another word or by adding affixes to it.
- A leading or drawing off of water from a stream or source.
- The process of deriving one thing from another, especially in logic; a deduction.
- That which is derived; a derivative; the result of a deduction.
- The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.
- The state or method of being derived; the relation of origin when established or asserted.
- (mathematics, differential algebra) An algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.
- Any of several generalizations of this notion: a Hasse–Schmidt derivation, a graded derivation, etc.
- (medicine, historical) A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.
- (genealogy, linguistics) The act of tracing origin or descent; an instance thereof (for example, an etymology).
- (mathematics, calculus) The process of application of the derivative operator to a function, yielding another function called the derived function of the first.
- That from which a thing is derived.
- (descriptive linguistics) the process whereby new words are formed from existing words or bases by affixation
- drawing of fluid or inflammation away from a diseased part of the body
- inherited properties shared with others of your bloodline
- a line of reasoning that shows how a conclusion follows logically from accepted propositions
- (historical linguistics) an explanation of the historical origins of a word or phrase
- the source or origin from which something derives (i.e. comes or issues)
- the act of deriving something or obtaining something from a source or origin
- drawing off water from its main channel as for irrigation
noun
- proof by a process of argument or a series of proposition proving an asserted conclusion
- (Roman Catholic Church) a vessel (usually of gold or silver) in which the consecrated Host is exposed for adoration
- (Christianity) An ornamental, often precious receptacle, either open or with a transparent cover, in which the sacramental bread (consecrated host) is placed for Eucharistic adoration.
noun
- (mathematics) A proposition proved or accepted for immediate use in the proof of some other proposition.
- (psycholinguistics) The theoretical abstract conceptual form of a word, representing a specific meaning, before the creation of a specific phonological form as the sounds of a lexeme, which may find representation in a specific written form as a dictionary or lexicographic word.
- (linguistics, lexicography) The canonical form of an inflected word; i.e., the form usually found as the headword in a dictionary, such as the nominative singular of a noun, the bare infinitive of a verb, etc.
- (in phrases, by extension) A proposition originally used for such a purpose, but having later acquired a greater, independent, importance; a fundamental (often pithy) and widely-used result.
- (botany) The outer shell of a fruit or similar body.
- (botany) One of the specialized bracts around the floret in grasses.
- the lower and stouter of the two glumes immediately enclosing the floret in most Gramineae
- the heading that indicates the subject of an annotation or a literary composition or a dictionary entry
- a subsidiary proposition that is assumed to be true in order to prove another proposition
noun
name
noun
- (mathematics) A proof, axiom, problem, or definition that includes another's cases, and also some additional cases; a conclusion reached by inferring from specific cases to more general cases or principles.
- The formulation of general concepts from specific instances by abstracting common properties.
- An oversimplified or exaggerated conception, opinion, or image of the members of a group.
- Inductive reasoning from detailed facts to general principles.
- An act or instance of generalizing; concluding that something true of a subclass is true of the entire class.
- an idea or conclusion having general application
- (psychology) transfer of a response learned to one stimulus to a similar stimulus
- reasoning from detailed facts to general principles
- the process of formulating general concepts by abstracting common properties of instances
noun
- (figuratively) A demonstration, an example, a proof.
- (UK) A channel or passage of water between sandbanks, or between a sandbank and a seashore.
- (figuratively) A clump or portion of something.
- A selection of such samples bound together.
- A piece, pattern, or sample, generally of cloth or a similar material.
- a sample piece of cloth
verb
noun
- (uncountable, mathematics) The mathematical study of relationships between rigorously defined concepts and of mathematical proof of statements.
- (countable, sociology) A system of thought or collection of rhetoric, especially one associated with a social practice.
- (uncountable) A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.
- (countable) Any system of thought, whether rigorous and productive or not, especially one associated with a particular person.
- (countable, mathematics) A formal or informal language together with a deductive system or a model-theoretic semantics.
- (philosophy, logic) The study of the principles and criteria of valid inference and demonstration.
- (uncountable) The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.
- a system of reasoning
- the branch of philosophy that analyzes inference
- the system of operations performed by a computer that underlies the machine's representation of logical operations
- the principles that guide reasoning within a given field or situation
- reasoned and reasonable judgment
adj
verb
noun
adj
- Of or relating to military operations that are smaller or more local than strategic ones.
- Adroit, skilful or ingenious.
- (firearms) Having a military appearance, typically with accessories such as a bipod, adjustable stock, detachable magazine or black coloration.
- Of or relating to tactics.
- of or pertaining to tactic or tactics
noun
- an argument that assumes that which is to be proved
- one trouble leads to another that aggravates the first
- A situation in which the response to one problem creates a chain of problems, each making it more difficult to solve the original one.
- (logic) A fallacy in which the premise is used to prove a conclusion which is then used to prove the premise.
noun
- (countable, mathematics) An assertion which is provably true, but not important enough to be called a theorem.
- (countable) An idea, plan, or suggestion offered.
- (grammar) A complete sentence.
- (uncountable) The act of offering (an idea) for consideration.
- (poetic) The part of a poem in which the author states the subject or matter of it.
- (countable, business settings) The terms of a transaction offered.
- (countable, US, politics) In some states, a proposed statute or constitutional amendment to be voted on by the electorate.
- A statement of religious doctrine; an article of faith; a creed.
- (countable, logic) The content of an assertion that may be taken as being true or false and is considered abstractly without reference to the linguistic sentence that constitutes the assertion; (Aristotelian logic) a predicate of a subject that is denied or affirmed and is connected by a copula.
- (informal) A suggestion of sexual intercourse (made to someone with whom one is not sexually involved).
- Misspelling of preposition.
- (countable, mathematics, philosophy) An assertion so formulated that it can be considered true or false.
- a task to be dealt with
- an offer for a private bargain (especially a request for sexual favors)
- (logic) a statement that affirms or denies something and is either true or false
- a proposal offered for acceptance or rejection
- the act of making a proposal
verb
noun
- (mathematics) A proof, axiom, problem, or definition whose cases are completely covered by another, broader concept.
- The act or process of specializing.
- (biology) The adaptation of an organism to a specific environment, or adaptation of an organ to a particular function.
- The area in which someone specializes.
- the act of specializing; making something suitable for a special purpose
- the special line of work you have adopted as your career
- (biology) the structural adaptation of some body part for a particular function
noun
- (countable, logic) Proof by deduction from known truths.
- (countable) Decomposition into components in order to study (a complex thing, concept, theory, etc.).
- (countable, analytical chemistry, physical chemistry) The process of breaking down a substance into its constituent parts, or the result of this process.
- (uncountable, mathematics) A broad field of study in modern mathematics (often mentioned alongside algebra) which developed out of the calculus, concerned with the behavior of functions, sequences, series, limits, metric spaces, measures and more.
- (uncountable, music) The analytical study of melodies, harmonies, sequences, repetitions, variations, quotations, juxtapositions, and surprises.
- (countable) The result of such a process.
- (countable, psychology) Psychoanalysis.
- the abstract separation of a whole into its constituent parts in order to study the parts and their relations
- a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
- the use of closed-class words instead of inflections: e.g., ‘the father of the bride’ instead of ‘the bride's father’
- a set of techniques for exploring underlying motives and a method of treating various mental disorders; based on the theories of Sigmund Freud
- a form of literary criticism in which the structure of a piece of writing is analyzed
- an investigation of the component parts of a whole and their relations in making up the whole
noun
- (mathematics, logic) The method of disproving a statement by assuming the statement is true and, with that assumption, arriving at a blatant contradiction.
- (reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd; or a proof of a proposition by showing that its negation leads to a contradiction
adj
noun
- (logic) an inference that follows directly from the proof of another proposition
- (mathematics, logic) A proposition which follows easily from the statement or proof of another proposition.
- An a fortiori occurrence, as a result of another effort without significant additional effort.
- A gift beyond what is actually due; an addition or superfluity.
- a practical consequence that follows naturally
noun
- drawing a figure satisfying certain conditions as part of solving a problem or proving a theorem
- the creation of a construct; the process of combining ideas into a congruous object of thought
- the commercial activity involved in repairing old structures or constructing new ones
- a group of words that form a constituent of a sentence and are considered as a single unit
- a thing constructed; a complex entity constructed of many parts
- an interpretation of a text or action
- the act of constructing something
- The meaning or interpretation of a text, action etc.; the way something is viewed by an observer or onlooker.
- Anything that has been constructed.
- The act or result of construing the meaning of something.
- A building, model or some other structure.
- The trade of building structures.
- The manner in which something is built.
- The process of constructing.
- (art) A (usually non-representational) structure, such as a collage etc.
- (grammar) A group of words arranged to form a meaningful phrase.
- (geometry) A geometric figure of arcs and line segments that is drawable with a straightedge and compass.
verb
- prove formally; demonstrate by a mathematical, formal proof
- be shown or be found to be
- obtain probate of
- establish the validity of something, as by an example, explanation or experiment
- cause to puff up with a leaven
- provide evidence for
- put to the test, as for its quality, or give experimental use to
- take a trial impression of
- increase in volume
- Alternative form of proof (“allow (dough) to rise; test the activeness of (yeast); pressure-test (a firearm)”).
- (copulative) To turn out to be.
- (homeopathy) To determine by experiment which effects a substance causes when ingested.
- (transitive) To ascertain or establish the genuineness or validity of; to verify.
- (intransitive) To turn out; to manifest.
- simple past of proove
- (transitive) To put to the test, to make trial of.
- (transitive) To demonstrate that something is true or viable; to give proof for; to bear out; to testify.
noun
verb
- prove false
- make false by mutilation or addition; as of a message or story
- falsify knowingly
- insert words into texts, often falsifying it thereby
- tamper, with the purpose of deception
- To counterfeit; to forge.
- (sciences, otherwise archaic) To prove to be false.
- (accounting) To show (an item of charge inserted in an account) to be wrong.
- To alter so as to make false; especially when done with intent to deceive.
- To misrepresent.
verb
- refer to for illustration or proof
- repeat a passage from
- refer to
- commend
- make reference to
- call in an official matter, such as to attend court
- advance evidence for
- To mention by way of explanation.
- (transitive, law) To summon officially or authoritatively to appear in court.
- (transitive) To quote; to repeat, as a passage from a book, or the words of another.
- (transitive) To mention; to make mention of.
- To list the source(s) from which one took information, words or literary or verbal context.
noun
verb
- refer to for illustration or proof
- repeat a passage from
- name the price of
- put quote marks around
- (intransitive) To indicate verbally or by equivalent means the start of a quotation.
- (transitive) To prepare a summary of work to be done and set a price; to estimate.
- (commerce, transitive) To name the current price, notably of a financial security.
- (transitive) To repeat (the exact words of a person).
noun
- a punctuation mark used to attribute the enclosed text to someone else
- a passage or expression that is quoted or cited
- A price set and offered (by the potential seller) for a financial security or commodity; a quotation.
- A statement attributed to a person; a quotation.
- A summary of work to be done with a set price; a quotation.
- A quotation mark.
intj
adj
- (mathematics) Self-evident.
- (taxonomy) Relating to or designating the name of a species; specific as opposed to generic.
- Pertaining to the trivium.
- (algebra, of an algebraic structure or ideal thereof) Containing only one element; having an underlying set which is a singleton.
- Commonplace, ordinary.
- (philosophy) Indistinguishable in case of truth or falsity.
- Concerned with or involving trivia.
- (mathematics) Of, relating to, or being the simplest possible case.
- Ignorable; of little significance or value.
- of little substance or significance
- concerned with trivialities
- (informal) small and of little importance
adj
- Affording proof; demonstrative.
- (logic) Of the characteristic feature of a proposition that is necessary (or impossible): perfectly certain (or inconceivable) or incontrovertibly true (or false); self-evident.
- Incontrovertible; demonstrably true or certain.
- of a proposition; necessarily true or logically certain
adj
noun
- (logic) an inference that follows directly from the proof of another proposition
- (mathematics, logic) A proposition which follows easily from the statement or proof of another proposition.
- An a fortiori occurrence, as a result of another effort without significant additional effort.
- A gift beyond what is actually due; an addition or superfluity.
- a practical consequence that follows naturally