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Categorical generalization of a function space in set theory
In mathematics, specifically in category theory, an exponential object or map object is the categorical generalization of a function space in set theory
Exponential_object
Topics referred to by the same term
standard form Exponential object, in category theory Exponential time, in complexity theory in probability and statistics: Exponential distribution, a
Exponential
Decrease in value at a rate proportional to the current value
}{N_{0}}}.} Exponential decay is a scalar multiple of the exponential distribution (i.e. the individual lifetime of each object is exponentially distributed)
Exponential_decay
Transforming a function in such a way that it only takes a single argument
algebras, and the exponential object has the explicit form ¬ P ∨ Q {\displaystyle \neg P\lor Q} , thus making it clear that the exponential object really is material
Currying
systems) Exponential notation Exponential object (category theory) Exponential polynomials—see also Touchard polynomials (combinatorics) Exponential response
List_of_exponential_topics
Theorem in category theory
morphism f {\displaystyle f} from some object A {\displaystyle A} to the exponential object B A {\displaystyle B^{A}} , then every endomorphism g : B → B {\displaystyle
Lawvere's_fixed-point_theorem
languages. [clarification needed] Cartesian closed category Currying Exponential object, category-theoretic equivalent First-class function Function space
Function_type
ISO standard unique string identifier for a digital object
A digital object identifier (DOI) is a persistent identifier, or persistent handle, used to uniquely identify various objects, standardized by the International
Digital_object_identifier
Evaluation of a function on its argument
theory, however, [ A → B ] {\displaystyle [A\to B]} is known as the exponential object, and is written as B A {\displaystyle B^{A}} . There are other common
Function_application
Category whose objects are finite sets and whose morphisms are functions
two objects A and B is given by the cartesian product A × B, the categorical sum is given by the disjoint union A + B, and the exponential object BA is
FinSet
Programming paradigm based on objects
Object-oriented programming (OOP) is a programming paradigm based on objects – software entities that encapsulate data and function(s).[clarification needed]
Object-oriented_programming
Mathematical category
and exponential objects. A topos as defined above can be understood as a Cartesian closed category for which the notion of subobject of an object has
Topos
Mathematical set of all subsets of a set
and has an object Ω, called a subobject classifier. Although the term "power object" is sometimes used synonymously with exponential object YX, in topos
Power_set
Functor mapping hom objects to an underlying category
product × {\displaystyle \times } , the object Y ⇒ Z {\displaystyle Y\Rightarrow Z} is called the exponential object, and is often written as Z Y {\displaystyle
Hom_functor
Data-interchange format
JSON (JavaScript Object Notation, pronounced /ˈdʒeɪsən/ or /ˈdʒeɪˌsɒn/) is an open standard file format and data interchange format that uses human-readable
JSON
Set of functions between two fixed sets
time); In category theory, the function space is called an exponential object or map object. It appears in one way as the representation canonical bifunctor;
Function_space
Relationship between two functors abstracting many common constructions
A which assigns to each set the indiscrete category on that set. Exponential object. In a cartesian closed category the endofunctor C → C given by –×A
Adjoint_functors
Concept in category theory
f\circ x=y} . If Y {\displaystyle Y} is an exponential object of the form B A {\displaystyle B^{A}} for some objects A , B {\displaystyle A,B} in C {\displaystyle
Point-surjective_morphism
Type of category in mathematics
the usual notation is B A {\displaystyle B^{A}} and this object is called the exponential object. Strictly speaking, we have defined a right closed monoidal
Closed_monoidal_category
Finite ordered list of elements
type#Product types in programming languages. Arity Coordinate vector Exponential object Formal language Multidimensional Expressions (OLAP) Prime k-tuple
Tuple
Overview of and topical guide to category theory
of magmas Initial object Terminal object Zero object Subobject Group object Magma object Natural number object Exponential object Epimorphism Monomorphism
Outline_of_category_theory
Transformations induced by a mathematical group
points correspond to equivariant maps X → Y; more generally, it is an exponential object in the category of G-sets. The notion of group action can be encoded
Group_action
Mathematical structures in category theory
category D C {\displaystyle D^{C}} has all the formal properties of an exponential object; in particular the functors from E × C → D {\displaystyle E\times
Functor_category
Category whose objects are sets and whose morphisms are functions
subobject classifier in Set. The power object of a set A is given by its power set, and the exponential object of the sets A and B is given by the set
Category_of_sets
Computer data storage architecture that manages data as objects
2013. Harris, Derrick (18 April 2013). "Amazon S3 goes exponential, now stores 2 trillion objects". Gigaom. Archived from the original on April 20, 2013
Object_storage
Special objects used in (mathematical) category theory
theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism
Initial_and_terminal_objects
Space formed by the ''n''-tuples of real numbers
was false and there exists such a α > 0 {\displaystyle \alpha >0} . Exponential object, for theoretical explanation of the superscript notation Geometric
Real_coordinate_space
Mathematical field with an extra operation
R^{\times }} . The resulting object is called an exponential ring. An example of an exponential ring with a non-trivial exponential function is the ring of
Exponential_field
Structure-preserving correspondence between node-link graphs
of graphs is the category-theoretic product and the exponential graph is the exponential object for this category. Since these two operations are always
Graph_homomorphism
Mathematical function common in physics
The stretched exponential function f β ( t ) = e − t β {\displaystyle f_{\beta }(t)=e^{-t^{\beta }}} is obtained by inserting a fractional power law into
Stretched exponential function
Stretched_exponential_function
Mathematical formula involving a given set of operations
the basic functions that are allowed in closed forms are nth root, exponential function, logarithm, and trigonometric functions. However, the set of
Closed-form_expression
Property of topological spaces
ideas extend on the de Vries duality theorem. A definition of the exponential object is given below. Another suggestion (1964) was to consider the usual
Compactly_generated_space
Theory in algebraic topology
{\displaystyle X\to Y^{I}} , where Y I {\displaystyle Y^{I}} is the exponential object, given by all maps from I {\displaystyle I} to Y {\displaystyle Y}
Eckmann–Hilton_duality
Conjecture in graph theory
as objects and homomorphisms as arrows), the conjecture can be rephrased in terms of the following construction on graphs K and G. The exponential graph
Hedetniemi's_conjecture
Type of category in category theory
properties: It has a terminal object. Any two objects X and Y of C have a product X×Y in C. Any two objects Y and Z of C have an exponential ZY in C. The first two
Cartesian_closed_category
Denial-of-service attack at XML parsers, exploiting entity expansion
parsers of XML documents. It is also referred to as an XML bomb or as an exponential entity expansion attack. The example attack consists of defining 10 entities
Billion_laughs_attack
unlabelled graphs, and many other combinatorial objects. In geometry and topology, the plethystic exponential of a certain geometric/topologic invariant of
Plethystic_exponential
Generalization of the Bernoulli process to more than two possible outcomes
of functions [ G → Y ] {\displaystyle [G\to Y]} , as this is the exponential object). The measure μ {\displaystyle \mu } is taken as the Haar measure
Bernoulli_scheme
Topological construction on a map between spaces
ω {\displaystyle \omega } is a continuous path in the space (the exponential object) Y I {\displaystyle Y^{I}} . The mapping fiber is sometimes denoted
Mapping_cone_(topology)
Algorithmic complexity class
machine in exponential time, i.e., in O(2p(n)) time, where p(n) is a polynomial function of n. EXPTIME is one intuitive class in an exponential hierarchy
EXPTIME
General theory of mathematical structures
category is formed by two sorts of objects: the objects of the category, and the morphisms, which relate two objects called the source and the target of
Category_theory
Physical law relating heat loss to temperature difference
this change in (relatively uniform) temperature inside the object, is the simple exponential one described in Newton's law of cooling expressed in terms
Newton's_law_of_cooling
Category whose objects are topological spaces and whose morphisms are continuous maps
cartesian closed (and therefore also not a topos) since it does not have exponential objects for all spaces. When this feature is desired, one often restricts
Category of topological spaces
Category_of_topological_spaces
History of maths
computable. The topology on a space is treated not as a lattice, but as an exponential object of the same category as the original space, with an associated λ-calculus
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Generalized object in category theory
In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas
Product_(category_theory)
Type of activation function
in that the softplus function numerically approximates the sum of an exponential number of linear models that share parameters. They then proposed ReLU
Rectified_linear_unit
Simplification of a physical system into a network of discrete components
temperature of a hot (or cold) object progresses toward the temperature of its environment in a simple exponential fashion. Objects follow this law strictly
Lumped-element_model
Software programming optimization technique
with respect to an ambiguous context-free grammar (CFG), it may need an exponential number of steps (with respect to the length of the input) to try all
Memoization
S-shaped curve
as x → + ∞ {\displaystyle x\to +\infty } is L {\displaystyle L} . The exponential function with negated argument ( e − x {\displaystyle e^{-x}} ) is used
Logistic_function
In mathematics, invertible homomorphism
{\displaystyle x,y\in \mathbb {R} ^{+},} so it is a group homomorphism. The exponential function exp : R → R + {\displaystyle \exp :\mathbb {R} \to \mathbb {R}
Isomorphism
Phenomenon in statistics where highest-ranked data points are outliers
include the power-law distribution, that is a basis for the stretched exponential function, and parabolic fractal distribution. Laherrere and Sornette
King_effect
Galaxy in the constellation Ursa Major
images of M82. The arms were detected by subtracting an axisymmetric exponential disk from the NIR images. Even though the arms were detected in NIR images
Messier_82
Group that is also a differentiable manifold with group operations that are smooth
)} , then the exponential map takes the Lie algebra of G {\displaystyle G} into G {\displaystyle G} ; thus, we have an exponential map for all matrix
Lie_group
Category whose objects are measurable spaces and whose morphisms are measurable maps
topos) since it does not have exponential objects for all spaces. Category of topological spaces – Category whose objects are topological spaces and whose
Category_of_measurable_spaces
Property of two varying quantities with a constant ratio
gravitational acceleration. The net force acting on an object is proportional to the acceleration of that object with respect to an inertial frame of reference
Proportionality_(mathematics)
Category admitting tensor products
\to \mathbf {C} } that is associative up to a natural isomorphism, and an object I that is both a left and right identity for ⊗, again up to a natural isomorphism
Monoidal_category
Object in category theory
numbers object (NNO) is an object endowed with a recursive structure similar to natural numbers. More precisely, in a category E with a terminal object 1,
Natural_numbers_object
Mathematical object that generalizes the standard notions of sets and functions
the existence of an identity arrow for each object. A simple example is the category of sets, whose objects are sets and whose arrows are functions. Category
Category_(mathematics)
Time required to double a quantity
characteristic unit (a natural unit of scale) for the exponential growth equation, and its converse for exponential decay is the half-life. As an example, Canada's
Doubling_time
Probability of survival beyond any specified time
a function that gives the probability that a patient, device, or other object of interest will survive past a certain time. The survival function is also
Survival_function
Characterizing property of mathematical constructions
constructions. Thus, universal properties can be used for defining some objects independently from the method chosen for constructing them. For example
Universal_property
Topological space characterized by sequences
category with respect to its own product (not that of Top). The exponential objects are equipped with the (convergent sequence)-open topology. P.I. Booth
Sequential_space
Central object of study in category theory
\eta _{X}:F(X)\to G(X)} is natural in X {\displaystyle X} . If, for every object X {\displaystyle X} in C {\displaystyle {\mathcal {C}}} , the morphism η
Natural_transformation
Frequency swept signal
_{0}+2\pi \left({\frac {c}{2}}t^{2}+f_{0}t\right)\right]} Exponential chirp Sound example for exponential chirp (five repetitions) Problems playing this file
Chirp
The Mayfair Exponential Game System or MEGS is a rules system developed for role-playing games. The name comes from what fans called the game system for
Mayfair Exponential Game System
Mayfair_Exponential_Game_System
Axiom
total recursive functions. In realzability topoi, this exponential object of the natural numbers object can also be identified with less restrictive collections
Church's thesis (constructive mathematics)
Church's_thesis_(constructive_mathematics)
mathematics, exponential polynomials are functions on fields, rings, or abelian groups that take the form of polynomials in a variable and an exponential function
Exponential_polynomial
Special case of colimit in category theory
construct a (typically large) object from many (typically smaller) objects that are put together in a specific way. These objects may be groups, rings, vector
Direct_limit
Rapid growth of the complexity of a problem due to its combinatorial properties
are added in a process. (This growth is often casually described as "exponential" but is actually polynomial.) If two organizations need to communicate
Combinatorial_explosion
Category-theoretic construction
vector spaces. The coproduct of a family of objects is essentially the "least specific" object to which each object in the family admits a morphism. It is
Coproduct
Category whose objects are small categories and whose morphisms are functors
small limits and colimits. Cat is a Cartesian closed category, with exponential D C {\displaystyle D^{C}} given by the functor category F u n ( C , D
Category_of_small_categories
Type of queue model in queueing theory
arrivals are determined by a Poisson process and job service times have an exponential distribution. The model name is written in Kendall's notation. The model
M/M/1_queue
Map (arrow) between two objects of a category
composition when it is defined, and existence of an identity morphism for every object), and the outcome of the composition is a morphism. Morphisms and categories
Morphism
Mathematical function, inverse of an exponential function
inverse of the complex exponential function. Similarly, the discrete logarithm is the multi-valued inverse of the exponential function in finite groups;
Logarithm
Algebraic structure used in logic
product. The exponential condition means that for any objects Y {\displaystyle Y} and Z {\displaystyle Z} in H {\displaystyle H} an exponential Z Y {\displaystyle
Heyting_algebra
Mapping between categories
where algebraic objects (such as the fundamental group) are associated to topological spaces, and maps between these algebraic objects are associated to
Functor
Product of numbers from 1 to n
n} distinct objects: there are n ! {\displaystyle n!} . In mathematical analysis, factorials are used in power series for the exponential function and
Factorial
Burst of electromagnetic energy
building up quickly to their maximum level. The classic model is a double-exponential curve which climbs steeply, quickly reaches a peak and then decays more
Electromagnetic_pulse
In mathematics, the exponential response formula (ERF), also known as exponential response and complex replacement, is a method used to find a particular
Exponential_response_formula
Equilibrium points near two orbiting bodies
weak saddle point and exponentially unstable with time constant of roughly 150 years. Moreover, it could not contain a natural object, large or small, for
Lagrange_point
Influence on an oscillating physical system which reduces or prevents its oscillation
linear systems. This form is exponential damping, in which the outer envelope of the successive peaks is an exponential decay curve. That is, when the
Damping
1. A list object over an object A of C is: an object LA, a morphism oA : 1 → LA, and a morphism sA : A × LA → LA such that for any object B of C with
List_object
Category whose hom objects correspond (di-)naturally to objects in itself
the external hom (x, y) maps a pair of objects to a set of morphisms. So in the category of sets, this is an object of the category itself. In the same vein
Closed_category
Quotient space of a codomain of a linear map by the map's image
of the domain (it maps to the domain), while the cokernel is a quotient object of the codomain (it maps from the codomain). Intuitively, given an equation
Cokernel
Extension of Rexx programming language with support for object-oriented programming
Object REXX is a high-level, general-purpose, interpreted, object-oriented (class-based) programming language. Today it is generally referred to as ooRexx
Object_REXX
Galaxy in the constellation Coma Berenices
data alone cannot adjudge among various options put forth. However, its exponential shape suggested that it is a barred spiral galaxy. Studies with the help
NGC_4565
Knowledge base that represents semantic relations between concepts in a network
contributed ideas of spreading activation, inheritance, and nodes as proto-objects. The following code shows an example of a semantic network in the Lisp
Semantic_network
Mathematical term in group theory
group of intermediate (that is, faster than polynomial but slower than exponential) growth. The group was originally constructed by Grigorchuk in a 1980
Grigorchuk_group
Type of quotient object in mathematics
another category by identifying sets of morphisms. Formally, it is a quotient object in the category of (locally small) categories, analogous to a quotient group
Quotient_category
Methods used to find numerical solutions of ordinary differential equations
solving a stiff equation, meaning that a larger step size h can be used. Exponential integrators describe a large class of integrators that have recently
Numerical methods for ordinary differential equations
Numerical_methods_for_ordinary_differential_equations
Probability distribution
distribution function of an exponential distribution with rate α. Pareto distribution can be constructed by hierarchical exponential distributions. Let ϕ |
Pareto_distribution
category is cartesian closed if it has a terminal object and that any two objects have a product and exponential. cartesian functor Given relative categories
Glossary_of_category_theory
Number with a real and an imaginary part
formula could be used to reduce any trigonometric identity to much simpler exponential identities. The idea of a complex number as a point in the complex plane
Complex_number
Measure of a civilization's evolution
classification of civilizations into three types, based on the axiom of exponential growth: A Type I civilization (planetary) is able to access all the energy
Kardashev_scale
Points with no three in a line
"perhaps, my favorite open problem" and gives a simplified proof of the exponential bound on cap sets, namely that for any prime power p {\displaystyle p}
Cap_set
Embedding of categories into functor categories
fixed object. It is a vast generalisation of Cayley's theorem from group theory (viewing a group as a miniature category with just one object and only
Yoneda_lemma
Type of random mathematical object
Poisson random point field and Poisson point field) is a type of mathematical object that consists of points randomly located on a mathematical space with the
Poisson_point_process
Axiomatic set theories based on the principles of mathematical constructivism
the classes containing all subsets of a set, as is the case with exponential objects resp. subobjects in category theory. In category theoretical terms
Constructive_set_theory
Compact astronomical body
In general relativity, crossing a black hole's event horizon traps an object inside but produces no locally detectable change. General relativity also
Black_hole
Hypothetical end-of-the-world scenario
(1986). In Chapter 4, Engines Of Abundance, Drexler illustrates both exponential growth and inherent limits (not gray goo) by describing "dry" nanomachines
Gray_goo
EXPONENTIAL OBJECT
EXPONENTIAL OBJECT
Boy/Male
Muslim
Objective, Goal
Boy/Male
Tamil
Decorated, An object that gives light, And never stops doing so
Surname or Lastname
English
English : variant of Styles.German : topographic name for someone who lived on or by a hill, from Middle High German stickel ‘hill’, ‘slope’.German : nickname from Middle High German stickel ‘prickle’, ‘spine’, ‘pointed object’.
Surname or Lastname
English, German, and Dutch
English, German, and Dutch : metonymic occupational name for a maker of rings (from Middle English ring, Middle High German rinc, Middle Dutch ring), either to be worn as jewelry or as component parts of chain-mail, harnesses, and other objects. In part it may also have arisen as a nickname for a wearer of a ring.Scandinavian : from ring ‘ring’, probably an ornamental name but possibly applied in the same sense as 3 or 1.German : topographic name from Middle High German, Middle Low German rink, rinc ‘circle’.Irish (eastern County Cork) : reduced Anglicized form of Gaelic Ó Rinn (see Reen).
Surname or Lastname
English
English : habitational name from Bolham in Nottinghamshire, probably named in Old English with the dative plural (bolum) of either of two unattested Old English words, bola ‘tree trunk’ (compare Old Norse bolr, modern English bole) or bol ‘rounded hill’ (cognate with Middle Low German bolle ‘round object’). Compare Bolam.
Girl/Female
Muslim
Rarity, Rare object, Novelty
Boy/Male
Tamil
Decorated, An object that gives light, And never stops doing so
Surname or Lastname
English and Scottish
English and Scottish : occupational name for a maker of objects of wood, metal, or bone by turning on a lathe, from Anglo-Norman French torner (Old French tornier, Latin tornarius, a derivative of tornus ‘lathe’). The surname may also derive from any of various other senses of Middle English turn, for example a turnspit, a translator or interpreter, or a tumbler.English : nickname for a fast runner, from Middle English turnen ‘to turn’ + ‘hare’.English : occupational name for an official in charge of a tournament, Old French tornei (in origin akin to 1).Jewish (eastern Ashkenazic) : habitational name from a place called Turno or Turna, in Poland and Belarus, or from the city of Tarnów (Yiddish Turne) in Poland.Translated or Americanized form of any of various other like-meaning or like-sounding Jewish surnames.South German (T(h)ürner) : occupational name for a guard in a tower or a topographic name from Middle High German turn ‘tower’, or a habitational name for someone from any of various places named Thurn, for example in Austria.
Boy/Male
Tamil
Object in the Sky cloud, Moon
Boy/Male
Hindu
Object in the Sky cloud, Moon
Surname or Lastname
French
French : metonymic occupational name for a gardener, from the objective case (gard) of Old French gardin ‘garden’.English : variant spelling of Guard.Norwegian : habitational name from a farmstead so named, from Old Norse garðr ‘farm’.Swedish (Gård) : topographic or ornamental name from gård ‘farm’.
Surname or Lastname
English (of Norman origin) and French
English (of Norman origin) and French : occupational name for a maker of glass objects, Old French verrie(o)r (from verre, voir(r)e ‘glass’, Latin vitrum).
Boy/Male
Tamil
Decorated, An object that gives light, And never stops doing so
Surname or Lastname
English
English : occupational name for a maker of dowels and similar objects, from an agent derivative of Middle English dowle ‘dowel’, ‘headless peg’, ‘bolt’.
Boy/Male
Muslim
Intended, Aimed at, Object, Proposed
Boy/Male
Tamil
Object in the Sky cloud, Moon
Surname or Lastname
English
English : nickname for a foolish or eccentric person, from a diminutive of Foll, from Old French fol ‘mad’, ‘stupid’ (Late Latin follis, originally a noun denoting any of various objects filled with air, but later transferred to vain and empty-headed notions).
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : from the Old French personal name Reinger, Rainger, composed of the Germanic elements ragin ‘advice’, ‘counsel’ + gÄr, gÄ“r ‘spear’, ‘lance’.English : occupational name for a maker of rings (see Ring 1) or for a bell ringer, from Middle English ring(en) ‘to ring’, Old English hringan.German : occupational name for a turner, someone who made objects by rotating them on a lathe or wheel.
Boy/Male
Muslim
Intended, Aimed at, Object, Proposed
Surname or Lastname
English (mainly Newcastle and Durham)
English (mainly Newcastle and Durham) : of uncertain origin, probably a derivative of northern Middle English stang ‘pole’ (of Old Norse origin). Possible meanings include a topographic name for someone who lived by a pole or stake (compare Stakes) or an occupational name for someone armed with one. Alternatively, it may be a nickname for someone who had ‘ridden the stang’, i.e. been carried on a pole through the streets as an object of derision, in punishment for some misdemeanor. However, this custom is of uncertain antiquity.Orcadian : probably a habitational name from a minor place called Stanagar in the parish of Stromness.German : occupational name for a maker of shafts for spears and the like, from an agent derivative of Middle High German stange ‘pole’, ‘shaft’.
EXPONENTIAL OBJECT
EXPONENTIAL OBJECT
Girl/Female
Hindu
Sweet friend
Boy/Male
Tamil
Digvastra | திகà¯à®µà®¸à¯à®¤à¯à®°
Sky clad
Boy/Male
Tamil
Name of Lord Shiva, Good Deva
Boy/Male
Indian, Punjabi, Sikh
Elixir of the Truth
Girl/Female
Hindu, Indian, Marathi
A Creeper with Fragrant Flowers
Girl/Female
Tamil
Fortune
Girl/Female
Tamil
Born in month of Shravan, Goddess Parvati
Girl/Female
African, Arabic, Australian, Muslim
Beautiful; Elegant; Elegant Graceful; Comely; Variant of Jamila
Girl/Female
Hindu
Goddess Lakshmi, Parvati, One with loving eyes
Girl/Female
Hindu, Indian, Marathi, Modern
Born in Month of Chaitra
EXPONENTIAL OBJECT
EXPONENTIAL OBJECT
EXPONENTIAL OBJECT
EXPONENTIAL OBJECT
EXPONENTIAL OBJECT
n.
One who adheres to, or is skilled in, the objective philosophy.
a.
Of or pertaining to an object.
n.
Same as Objective point, under Objective, a.
a.
Having no object; purposeless.
a.
Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.
a.
Of or pertaining to an object; contained in, or having the nature or position of, an object; outward; external; extrinsic; -- an epithet applied to whatever ir exterior to the mind, or which is simply an object of thought or feeling, and opposed to subjective.
n.
That which is, or may be, presented in opposition; an adverse reason or argument; a reason for objecting; obstacle; impediment; as, I have no objection to going; unreasonable objections.
n.
One who objects; one who offers objections to a proposition or measure.
n.
The act of objecting; as, to prevent agreement, or action, by objection.
v. t.
To cause to become an object; to cause to assume the character of an object; to render objective.
n.
The objective case.
adv.
In the manner or state of an object; as, a determinate idea objectively in the mind.
n.
An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
n.
Objectivity.
v. t.
To objectify.
n.
Converting into an object.
a.
Liable to objection; likely to be objected to or disapproved of; offensive; as, objectionable words.
n.
An object glass. See under Object, n.
a.
Pertaining to, or designating, the case which follows a transitive verb or a preposition, being that case in which the direct object of the verb is placed. See Accusative, n.
n.
The state, quality, or relation of being objective; character of the object or of the objective.