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inverse_function
a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
inverse_function: a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
Kronecker_delta
a function of two variables i and j that equals 1 when i=j and equals 0 otherwise
Kronecker_delta: a function of two variables i and j that equals 1 when i=j and equals 0 otherwise
metric_function
a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
metric_function: a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
transformation
(mathematics) a function that changes the position or direction of the axes of a coordinate system
transformation: (mathematics) a function that changes the position or direction of the axes of a coordinate system
reflection
(mathematics) a transformation in which the direction of one axis is reversed
reflection: (mathematics) a transformation in which the direction of one axis is reversed
rotation
(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
rotation: (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
translation
(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same
translation: (mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same
affine_transformation
(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
affine_transformation: (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
isometry
a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
isometry: a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
operator
(mathematics) a symbol or function representing a mathematical operation
operator: (mathematics) a symbol or function representing a mathematical operation
linear_operator
an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)
linear_operator: an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)
identity
an operator that leaves unchanged the element on which it operates
identity: an operator that leaves unchanged the element on which it operates
trigonometric_function
function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
trigonometric_function: function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
sine
ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle
sine: ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle
arc_sine
the inverse function of the sine; the angle that has a sine equal to a given number
arc_sine: the inverse function of the sine; the angle that has a sine equal to a given number
cosine
ratio of the adjacent side to the hypotenuse of a right-angled triangle
cosine: ratio of the adjacent side to the hypotenuse of a right-angled triangle
arc_cosine
the inverse function of the cosine; the angle that has a cosine equal to a given number
arc_cosine: the inverse function of the cosine; the angle that has a cosine equal to a given number
tangent
ratio of the opposite to the adjacent side of a right-angled triangle
tangent: ratio of the opposite to the adjacent side of a right-angled triangle
arc_tangent
the inverse function of the tangent; the angle that has a tangent equal to a given number
arc_tangent: the inverse function of the tangent; the angle that has a tangent equal to a given number
cotangent
ratio of the adjacent to the opposite side of a right-angled triangle
cotangent: ratio of the adjacent to the opposite side of a right-angled triangle
arc_cotangent
the inverse function of the cotangent; the angle that has a cotangent equal to a given number
arc_cotangent: the inverse function of the cotangent; the angle that has a cotangent equal to a given number
secant
ratio of the hypotenuse to the adjacent side of a right-angled triangle
secant: ratio of the hypotenuse to the adjacent side of a right-angled triangle
arc_secant
the inverse function of the secant; the angle that has a secant equal to a given number
arc_secant: the inverse function of the secant; the angle that has a secant equal to a given number
cosecant
ratio of the hypotenuse to the opposite side of a right-angled triangle
cosecant: ratio of the hypotenuse to the opposite side of a right-angled triangle
arc_cosecant
the angle that has a cosecant equal to a given number
arc_cosecant: the angle that has a cosecant equal to a given number
threshold_function
a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise
threshold_function: a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise
exponential
a function in which an independent variable appears as an exponent
exponential: a function in which an independent variable appears as an exponent
exponential_equation
an equation involving exponential functions of a variable
exponential_equation: an equation involving exponential functions of a variable
exponential_curve
a graph of an exponential function
exponential_curve: a graph of an exponential function
exponential_expression
a mathematical expression consisting of a constant (especially e) raised to some power
exponential_expression: a mathematical expression consisting of a constant (especially e) raised to some power
exponential_series
a series derived from the expansion of an exponential expression
exponential_series: a series derived from the expansion of an exponential expression
parity
(mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity
parity: (mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity
evenness
the parity of even numbers (divisible by two)
evenness: the parity of even numbers (divisible by two)
oddness
the parity of odd numbers (not divisible by two)
oddness: the parity of odd numbers (not divisible by two)
foundation
the basis on which something is grounded
foundation: the basis on which something is grounded
footing
a relation that provides the foundation for something
footing: a relation that provides the foundation for something
common_ground
a basis agreed to by all parties for reaching a mutual understanding
common_ground: a basis agreed to by all parties for reaching a mutual understanding
grass_roots
the essential foundation or source
grass_roots: the essential foundation or source
connection
a relation between things or events (as in the case of one causing the other or sharing features with it)
connection: a relation between things or events (as in the case of one causing the other or sharing features with it)
series
(electronics) connection of components in such a manner that current flows first through one and then through the other
series: (electronics) connection of components in such a manner that current flows first through one and then through the other
alliance
a connection based on kinship or marriage or common interest
alliance: a connection based on kinship or marriage or common interest
silver_cord
the emotional bond between a mother and her offspring
silver_cord: the emotional bond between a mother and her offspring
linkage
an associative relation
linkage: an associative relation
link
the means of connection between things linked in series
link: the means of connection between things linked in series
communication
a connection allowing access between persons or places
communication: a connection allowing access between persons or places
concatenation
the linking together of a consecutive series of symbols or events or ideas etc
concatenation: the linking together of a consecutive series of symbols or events or ideas etc
bridge
something resembling a bridge in form or function
bridge: something resembling a bridge in form or function
involvement
a connection of inclusion or containment
involvement: a connection of inclusion or containment
implication
a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
implication: a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
inclusion
the relation of comprising something
inclusion: the relation of comprising something
unconnectedness
the lack of a connection between things
unconnectedness: the lack of a connection between things
relevance
the relation of something to the matter at hand
relevance: the relation of something to the matter at hand
materiality
relevance requiring careful consideration
materiality: relevance requiring careful consideration
cogency
persuasive relevance
cogency: persuasive relevance
point
a style in speech or writing that arrests attention and has a penetrating or convincing quality or effect
point: a style in speech or writing that arrests attention and has a penetrating or convincing quality or effect
germaneness
pertinence by virtue of a close relation to the matter at hand
germaneness: pertinence by virtue of a close relation to the matter at hand
applicability
relevance by virtue of being applicable to the matter at hand
applicability: relevance by virtue of being applicable to the matter at hand
relatedness
a particular manner of connectedness
relatedness: a particular manner of connectedness
bearing
relevant relation or interconnection
bearing: relevant relation or interconnection
irrelevance
the lack of a relation of something to the matter at hand
irrelevance: the lack of a relation of something to the matter at hand
inapplicability
irrelevance by virtue of being inapplicable to the matter at hand
inapplicability: irrelevance by virtue of being inapplicable to the matter at hand
immateriality
complete irrelevance requiring no further consideration
immateriality: complete irrelevance requiring no further consideration
unrelatedness
the lack of any particular manner of connectedness
unrelatedness: the lack of any particular manner of connectedness
extraneousness
unrelatedness by virtue of falling outside the matter at hand
extraneousness: unrelatedness by virtue of falling outside the matter at hand
grammatical_relation
a linguistic relation established by grammar
grammatical_relation: a linguistic relation established by grammar
linguistic_relation
a relation between linguistic forms or constituents
linguistic_relation: a relation between linguistic forms or constituents
agreement
the determination of grammatical inflection on the basis of word relations
agreement: the determination of grammatical inflection on the basis of word relations
number_agreement
agreement in number between words in the same grammatical construction (e.g., between adjectives and the nouns they modify)
number_agreement: agreement in number between words in the same grammatical construction (e.g., between adjectives and the nouns they modify)
person_agreement
agreement in person between pronouns and verbs
person_agreement: agreement in person between pronouns and verbs
case_agreement
agreement in grammatical case between words in the same construction
case_agreement: agreement in grammatical case between words in the same construction
gender_agreement
agreement in grammatical gender between words in the same construction
gender_agreement: agreement in grammatical gender between words in the same construction
transitivity
the grammatical relation created by a transitive verb
transitivity: the grammatical relation created by a transitive verb
intransitivity
the grammatical relation created by an intransitive verb
intransitivity: the grammatical relation created by an intransitive verb
transitivity
(logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third
transitivity: (logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third
reflexivity
(logic and mathematics) a relation such that it holds between an element and itself
reflexivity: (logic and mathematics) a relation such that it holds between an element and itself
coreference
the grammatical relation between two words that have a common referent
coreference: the grammatical relation between two words that have a common referent
reflexivity
the coreferential relation between a reflexive pronoun and its antecedent
reflexivity: the coreferential relation between a reflexive pronoun and its antecedent
conjunction
the grammatical relation between linguistic units (words or phrases or clauses) that are connected by a conjunction
conjunction: the grammatical relation between linguistic units (words or phrases or clauses) that are connected by a conjunction
coordinating_conjunction
the coordination by conjunction of linguistic units of the same status
coordinating_conjunction: the coordination by conjunction of linguistic units of the same status
subordinating_conjunction
the subordination that occurs when a conjunction makes one linguistic unit a constituent of another
subordinating_conjunction: the subordination that occurs when a conjunction makes one linguistic unit a constituent of another
copulative_conjunction
the conjunctive relation of units that expresses the addition of their meanings
copulative_conjunction: the conjunctive relation of units that expresses the addition of their meanings
disjunctive_conjunction
the conjunctive relation of units that expresses the disjunction of their meanings
disjunctive_conjunction: the conjunctive relation of units that expresses the disjunction of their meanings
adversative_conjunction
the conjunctive relation of units that expresses the opposition of their meanings
adversative_conjunction: the conjunctive relation of units that expresses the opposition of their meanings
complementation
the grammatical relation of a word or phrase to a predicate
complementation: the grammatical relation of a word or phrase to a predicate
coordination
the grammatical relation of two constituents having the same grammatical form
coordination: the grammatical relation of two constituents having the same grammatical form
subordination
the grammatical relation of a modifying word or phrase to its head
subordination: the grammatical relation of a modifying word or phrase to its head
modification
the grammatical relation that exists when a word qualifies the meaning of the phrase
modification: the grammatical relation that exists when a word qualifies the meaning of the phrase
restrictiveness
a grammatical qualification that makes the meaning more specific (`red hat' has a more specific meaning than `hat')
restrictiveness: a grammatical qualification that makes the meaning more specific (`red hat' has a more specific meaning than `hat')
apposition
a grammatical relation between a word and a noun phrase that follows
apposition: a grammatical relation between a word and a noun phrase that follows
mood
verb inflections that express how the action or state is conceived by the speaker
mood: verb inflections that express how the action or state is conceived by the speaker
indicative_mood
a mood (grammatically unmarked) that represents the act or state as an objective fact
indicative_mood: a mood (grammatically unmarked) that represents the act or state as an objective fact
subjunctive_mood
a mood that represents an act or state (not as a fact but) as contingent or possible
subjunctive_mood: a mood that represents an act or state (not as a fact but) as contingent or possible
optative_mood
a mood (as in Greek or Sanskrit) that expresses a wish or hope; expressed in English by modal verbs
optative_mood: a mood (as in Greek or Sanskrit) that expresses a wish or hope; expressed in English by modal verbs
imperative_mood
a mood that expresses an intention to influence the listener's behavior
imperative_mood: a mood that expresses an intention to influence the listener's behavior
interrogative_mood
some linguists consider interrogative sentences to constitute a mood
interrogative_mood: some linguists consider interrogative sentences to constitute a mood
modality
a classification of propositions on the basis of whether they claim necessity or possibility or impossibility
modality: a classification of propositions on the basis of whether they claim necessity or possibility or impossibility
anaphoric_relation
the relation between an anaphor and its antecedent
anaphoric_relation: the relation between an anaphor and its antecedent
voice
(linguistics) the grammatical relation (active or passive) of the grammatical subject of a verb to the action that the verb denotes
voice: (linguistics) the grammatical relation (active or passive) of the grammatical subject of a verb to the action that the verb denotes
active_voice
the voice used to indicate that the grammatical subject of the verb is performing the action or causing the happening denoted by the verb
active_voice: the voice used to indicate that the grammatical subject of the verb is performing the action or causing the happening denoted by the verb
passive_voice
the voice used to indicate that the grammatical subject of the verb is the recipient (not the source) of the action denoted by the verb
passive_voice: the voice used to indicate that the grammatical subject of the verb is the recipient (not the source) of the action denoted by the verb