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Type of logical system
First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a type of formal system used in mathematics, philosophy
First-order_logic
Index of articles associated with the same name
Look up first-order in Wiktionary, the free dictionary. In mathematics and other formal sciences, first-order or first order most often means either: "linear"
First-order
Topics referred to by the same term
First Order may refer to: First-order, a term used in mathematics and logic First order (religious), an institute of consecrated life for men First Order
First_Order
Fictional military power in the ''Star Wars'' franchise
The First Order is a fictional military movement and rump state in the Star Wars franchise, introduced in the 2015 film The Force Awakens. It is formed
First_Order_(Star_Wars)
Logical statement with variables, predicates, and quantifiers over objects
mathematical logic, a first-order predicate is a predicate that takes only individual(s) constants or variables as argument(s). Compare second-order predicate and
First-order_predicate
2015 Japanese mobile video game
special titled Fate/Grand Order: First Order (Japanese: フェイト/グランドオーダー -First Order-, Hepburn: Feito/Gurando Ōdā -First Order-) aired on 31 December 2016
Fate/Grand_Order
Instantaneous rate of change (mathematics)
notation by adding additional prime marks. Higher order derivatives are used in physics; for example, the first derivative with respect to time of the position
Derivative
Compact composite lens
classified as first through sixth order. An intermediate size between third and fourth order was added later, as well as sizes above first order and below
Fresnel_lens
Relation between chemical reaction rate and concentrations of the reactants
first order and second order reactions (or more often concurrent pseudo-first order and second order) reactions, and can be described as mixed first and
Rate_equation
Solution technique in contract theory
In microeconomics and contract theory, the first-order approach is a simplifying assumption used to solve models with a principal-agent problem. It suggests
First-order_approach
a first-order reduction is a very strong type of reduction between two computational problems in computational complexity theory. A first-order reduction
First-order_reduction
Physical process of transition between basic states of matter
respect to pressure. Second-order phase transitions are continuous in the first derivative (the order parameter, which is the first derivative of the free
Phase_transition
Function that takes one or more functions as an input or that outputs a function
a function as its result. All other functions are first-order functions. In mathematics higher-order functions are also termed operators or functionals
Higher-order_function
Model in digital signal processing
First-order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital-to-analog
First-order_hold
Differential equation containing derivatives with respect to only one variable
although note that any ODE of order greater than one can be (and usually is) rewritten as system of ODEs of first order, which makes the Jacobian singularity
Ordinary differential equation
Ordinary_differential_equation
Mendicant Catholic religious order
The Order of Friars Minor (commonly called the Franciscans, the Franciscan Order, or the Seraphic Order; postnominal abbreviation OFM) is a mendicant
Order_of_Friars_Minor
Theories in mathematical logic
In first-order logic, a first-order theory is given by a set of axioms in some language. This entry lists some of the more common examples used in model
List_of_first-order_theories
Expressions for approximation accuracy
The order of the approximation is the highest power term that is kept. For example, one can refer to a zeroth-order approximation, a first-order approximation
Order_of_approximation
Group of religious orders within the Catholic Church connected with St. Francis of Assisi
(the Order of Friars Minor being the largest contemporary male order), an order for nuns known as the Order of Saint Clare, and the Third Order of Saint
Franciscans
Topics referred to by the same term
Look up order or Order in Wiktionary, the free dictionary. Order, ORDER or Orders may refer to: A socio-political or established or existing order, e.g.
Order
In machine learning, first-order inductive learner (FOIL) is a rule-based learning algorithm. Developed in 1990 by Ross Quinlan, FOIL learns function-free
First-order_inductive_learner
Method for finding the extrema of a function
second-order derivative test. As shown below, the second-derivative test is mathematically identical to the special case of n = 1 in the higher-order derivative
Derivative_test
Semi-probabilistic reliability analysis method
The first-order reliability method (FORM) is a semi-probabilistic reliability analysis method devised to evaluate the reliability of a system. The accuracy
First-order reliability method
First-order_reliability_method
Form of logic that allows quantification over predicates
mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic is in turn
Second-order_logic
In mathematics, a first-order partial differential equation is a partial differential equation that involves the first derivatives of an unknown function
First-order partial differential equation
First-order_partial_differential_equation
Axioms for the natural numbers
the second-order and first-order formulations, as discussed in the section § Peano arithmetic as first-order theory below. If the second-order induction
Peano_axioms
Kth smallest value in a statistical sample
\x_{(2)}&=6\\x_{(3)}&=7\\x_{(4)}&=9\end{aligned}}} The first order statistic (or smallest order statistic) is always the minimum of the sample, that is
Order_statistic
Type of generalized Newtonian fluid
flow behaviour index: pseudoplastic, Newtonian fluid, and dilatant. A first-order fluid is a power-law fluid with exponential dependence of viscosity on
Power-law_fluid
British magical order (1887–1903)
the first temple. For the first four years, the Golden Dawn was one cohesive group later known as the "First Order" or "Outer Order". A "Second Order" or
Hermetic Order of the Golden Dawn
Hermetic_Order_of_the_Golden_Dawn
Method of deriving conclusions
logical operators like "not" and "if...then..." support conclusions. First-order logic extends propositional logic by analyzing how the internal structure
Rule_of_inference
Mathematical approach to quantum physics
n^{(1)}\right\rangle =0.} To obtain the first-order correction to the energy eigenstate, the expression for the first-order energy correction is inserted back
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Differential equation that is linear with respect to the unknown function
can be converted into a first order system of linear differential equations by adding variables for all but the highest order derivatives. That is, if
Linear_differential_equation
Second-order election is a term that appeared for the first time in Karlheinz Reif and Hermann Schmitt's "Nine second-order national elections – A conceptual
Second-order_election
Order whose elements are all comparable
mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation ≤
Total_order
Type of signal filter
current source. A first-order RL circuit is composed of one resistor and one inductor and is the simplest type of RL circuit. A first-order RL circuit is
Low-pass_filter
Philosophical term
higher-order volitions determined the primacy of first-order desires. This view is called compatibilism. An example for a failure to follow higher-order volitions
Higher-order_volition
Set of sentences in a formal language
definition, every axiom is automatically a theorem. A first-order theory is a set of first-order sentences (theorems) recursively obtained by the inference
Theory_(mathematical_logic)
Inference rule in logic, proof theory, and automated theorem proving
refutation-complete theorem-proving technique for sentences in propositional logic and first-order logic. For propositional logic, systematically applying the resolution
Resolution_(logic)
Branch of logic
zeroth-order logic. Sometimes, it is called first-order propositional logic to contrast it with System F, but it is distinct from first-order logic. It
Propositional_logic
Performing order of mathematical operations
computer programming, the order of operations is a collection of conventions about which arithmetic operations to perform first in order to evaluate a given
Order_of_operations
In probability theory, the first-order second-moment (FOSM) method, also referenced as mean value first-order second-moment (MVFOSM) method, is a probabilistic
First-order second-moment method
First-order_second-moment_method
The Order of Berthold the First (German: Orden Berthold des Ersten) was a dynastic order in the Grand Duchy of Baden. It was established on 29 April 1877
Order_of_Berthold_the_First
In mathematical logic, a first-order language of the real numbers is the set of all well-formed sentences of first-order logic that involve universal
Decidability of first-order theories of the real numbers
Decidability_of_first-order_theories_of_the_real_numbers
Formal system of logic
mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers
Higher-order_logic
Fictional soldiers in the Star Wars franchise
Stormtroopers remained in service to Imperial remnants, such as the First Order. The order of battle of the Stormtrooper Corps is unspecified in the Star Wars
Stormtrooper_(Star_Wars)
Roman Catholic monastic order
The Order of Saint Paul the First Hermit (Latin: Ordo Fratrum Sancti Pauli Primi Eremitæ; abbreviated OSPPE), commonly called the Pauline Fathers, is
Order of Saint Paul the First Hermit
Order_of_Saint_Paul_the_First_Hermit
Limitative results in mathematical logic
that first-order logic is semantically complete. But it is not syntactically complete, since there are sentences expressible in the language of first-order
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Term in numerical analysis
In numerical analysis, order of accuracy quantifies the rate of convergence of a numerical approximation of a differential equation to the exact solution
Order_of_accuracy
Class of algorithms
There are three common ways to traverse them in depth-first order: in-order, pre-order and post-order. Beyond these basic traversals, various more complex
Tree_traversal
1981 book by Jean Baudrillard
is incapable of encapsulating. The first-order simulacrum is a faithful copy of the original and the third order are symbols that have come to be without
Simulacra_and_Simulation
Statement that is taken to be true
requires the use of second-order logic. The Löwenheim–Skolem theorems tell us that if we restrict ourselves to first-order logic, any axiom system for
Axiom
State of being real
possessed by at least one entity. A different view sees existence as a first-order property, or a property of individuals, meaning existence is similar
Existence
Application of cybernetics to itself
communication" and differentiated first-order cybernetics as "the cybernetics of observed systems" and second-order cybernetics as "the cybernetics of
Second-order_cybernetics
Methods of mathematical approximation
truncating the series, often keeping only the first two terms, the solution to the known problem and the 'first order' perturbation correction. Perturbation
Perturbation_theory
Partial order between random variables
Stochastic dominance is a partial order between random variables. It is a form of stochastic ordering. The concept is motivated in decision theory and
Stochastic_dominance
Inferring the speed and direction of objects
to suggest that early processing of first- and second-order motion is carried out by separate pathways. Second-order mechanisms have poorer temporal resolution
Motion_perception
Fragment of first-order logic
the monadic predicate calculus (also called monadic first-order logic) is the fragment of first-order logic (also called predicate calculus) in which all
Monadic_predicate_calculus
mathematical logic necessary to express a given query. A query is order-independent if the ordering of objects in the structure does not affect the results of
Query_(complexity)
Set whose pairs have minima and maxima
is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which
Lattice_(order)
Theory relating to sampling from finite populations
inclusion probability is also termed the "first-order inclusion probability" to distinguish it from the "second-order inclusion probability", i.e. the probability
Sampling_probability
Concept in quantum optics
experiment and Mach-Zehnder interferometry are characterized only by the first order coherence. The 1956 Hanbury Brown and Twiss experiment brought to light
Higher_order_coherence
Mapping function that preserves data point locality
Morton order). It is named in France after Henri Lebesgue, who studied it in 1904, and named in the United States after Guy Macdonald Morton, who first applied
Z-order_curve
Time for exponential decay to remove half of a quantity
of a first order reaction is given as the following: t 1 / 2 = ln 2 k {\displaystyle t_{1/2}={\frac {\ln 2}{k}}} The half-life of a first order reaction
Half-life
Index of articles associated with the same name
Zeroth-order logic First-order logic Second-order logic Higher-order logic Order (journal), an academic journal on order theory Dense order, a total order wherein
Order_(mathematics)
Pattern defining an infinite sequence of numbers
n} ; this number k {\displaystyle k} is called the order of the relation. If the values of the first k {\displaystyle k} numbers in the sequence have been
Recurrence_relation
Components of a mathematical or logical formula
phrase refers to an object and a whole sentence refers to a fact. A first-order term is recursively constructed from constant symbols, variable symbols
Term_(logic)
Subfield of automated reasoning and mathematical logic
universe and a Herbrand interpretation that allowed (un)satisfiability of first-order formulas (and hence the validity of a theorem) to be reduced to (potentially
Automated_theorem_proving
Book on mathematical logic
Extensions of First Order Logic is a book on mathematical logic. It was written by María Manzano, and published in 1996 by the Cambridge University Press
Extensions of First Order Logic
Extensions_of_First_Order_Logic
Organization in the Star Wars franchise
Remnant, and the First Order, are shown to have originated from the Sith. Sith, known as Sith Lords, are by nature ruthless. Members of the order have the power
Sith
Groups based on religious devotion
A religious order is a subgroup within a larger confessional community that has members who lead a contemplative lifestyle devoted to prayer and service
Religious_order
Assignment of meaning to the symbols of a formal language
discuss] they include the usual interpretations of propositional and first-order logic. The sentences that are made true by a particular assignment are
Interpretation_(logic)
Approach to finding numerical solutions of ordinary differential equations
science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs)
Euler_method
Limited form of tree data structure
special case of this. See depth-first search for more information. Contrasting with depth-first order is breadth-first order, which always attempts to visit
Binary_tree
they are implicit in the structure. Abstract syntaxes are classified as first-order abstract syntax (FOAS), if the structure is abstract but names (identifiers)
Abstract_syntax
Highest civilian honor of the Soviet Union
units who received the said Order applied the full name of the order into their official titles. The first design of the Order of Lenin was sculpted by Pyotr
Order_of_Lenin
Scientific theory
Higher-order theories of consciousness postulate that consciousness consists in perceptions or thoughts about first-order mental states. In particular
Higher-order theories of consciousness
Higher-order_theories_of_consciousness
Changing the balance of frequency components in an audio signal
each a first-order filter in which the balance of frequencies above and below a point are varied using a single knob. A special case of first-order filters
Audio_equalization
Sensory spinal pathway
that are involved in the pathway: first-order neurons, second-order neurons, and third-order neurons. The first-order neurons are sensory neurons located
Dorsal column–medial lemniscus pathway
Dorsal_column–medial_lemniscus_pathway
Number quantifying branching in rivers
The stream order or waterbody order is a positive whole number used in geomorphology and hydrology to indicate the level of branching in a river system
Stream_order
Branch of mathematics
related fields like computer science. The first order often discussed in primary school is the standard order on the natural numbers e.g. "2 is less than
Order_theory
Logical generalization for symbolic expressions
allowed in an expression, the process is called "higher-order anti-unification", otherwise "first-order anti-unification". If the generalization is required
Anti-unification
Mathematical system
axiomatization of second-order arithmetic is denoted by Z2. Second-order arithmetic includes, but is significantly stronger than, its first-order counterpart Peano
Second-order_arithmetic
Material phase change
fusion) and the entropy of fusion. Melting is therefore classified as a first-order phase transition. Melting occurs when the Gibbs free energy of the liquid
Melting
Highest award of Russia
The Order of Saint Andrew the Apostle the First-Called (Russian: Орден Святого апостола Андрея Первозванного, romanised: Orden Svyatogo apostola Andreya
Order_of_St._Andrew
Fictional state in the Star Wars universe
the First Order, under Supreme Leader Snoke's direction, in Star Wars: The Force Awakens. In the Star Wars chronology, the destruction of the first Death
Galactic_Republic
Theory that firms prefer internal funds, then debt, and use equity last
debt or equity" - i.e. there is a "pecking order" when it comes to financing decisions. The theory was first suggested by Gordon Donaldson in 1961 and
Pecking_order_theory
Paradox in set theory
strong higher-order logic, while Zermelo employed second-order logic, and ZFC can also be given a first-order formulation. The first-order 'description'
Russell's_paradox
Movement of a drug into the bloodstream or lymph
intravenous injection. Zero-order absorption: rate of absorption is constant. A common example is continuous intravenous infusion. First-order absorption: rate of
Absorption_(pharmacology)
individuals, so their order is "1" (first-order classes). Metaclasses that are classes of first-order classes' order is "2" (second-order classes), and so
Metaclass (knowledge representation)
Metaclass_(knowledge_representation)
In logic, a statement which is always true
propositional logic, and uniformly replacing each propositional variable by a first-order formula (one formula per propositional variable). The set of such formulas
Tautology_(logic)
Standard system of axiomatic set theory
regularity (first proposed by John von Neumann), to Zermelo set theory yields the theory ZFC. Formally, ZFC is a one-sorted theory in first-order logic. The
Zermelo–Fraenkel_set_theory
British order of chivalry established in 1917
The Most Excellent Order of the British Empire is a British order of chivalry, rewarding valuable service in a wide range of useful activities. It comprises
Order_of_the_British_Empire
Type of Christian religious order
a first order (the male religious, who were generally the first established), the second order (nuns, established second), and then the third order of
Third_order
Typically linear operator defined in terms of differentiation of functions
notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function
Differential_operator
Army units and commanders fought in the First Battle of Winchester of the American Civil War. The Union order of battle is listed separately. Gen = General
First Battle of Winchester order of battle: Confederate
First_Battle_of_Winchester_order_of_battle:_Confederate
Subfield of mathematics
When applied to first-order logic, the first incompleteness theorem implies that any sufficiently strong, consistent, effective first-order theory has models
Mathematical_logic
Part of third branch of the Franciscan Family
the Franciscan First Order (Order of Friars Minor, Order of Friars Minor Capuchin, and Order of Friars Minor Conventual) and Third Order Regular, which
Secular_Franciscan_Order
Type of differential equation subject to a particular solution methodology
^{2}} and two functions I and J which are continuous on D, an implicit first-order ordinary differential equation of the form I ( x , y ) d x + J ( x ,
Exact_differential_equation
Type of electronic circuit or optical filter
capacitor or an inductor can be configured as a first-order high-pass filter. The simple first-order capacitive high-pass filter shown in Figure 1 is
High-pass_filter
Area of mathematical logic
theory, which is semantic in nature. This article focuses on finitary first order model theory. The relative emphasis placed on the class of models of
Model_theory
FIRST ORDER
FIRST ORDER
Boy/Male
Czechoslovakian
First.
Boy/Male
Indian
First
Girl/Female
Indian, Sanskrit
First
Girl/Female
Hawaiian, Hebrew, Hindu, Indian, Tamil
First
Girl/Female
Hindu, Indian
First
Boy/Male
Hindu, Indian
First
Boy/Male
Muslim
First
Girl/Female
British, English
First; Always First
Boy/Male
Tamil
First
Girl/Female
Indian, Punjabi, Sikh
First
Girl/Female
Latin
First.
Girl/Female
Tamil
First
Boy/Male
Hindu, Indian
First
Girl/Female
Indian
First
Girl/Female
Hindu, Indian
First
Girl/Female
Biblical
First-born, first fruits.
Biblical
first begotten; first fruits
Boy/Male
English
From the Thicket of Trees
Girl/Female
Hindu
First
Boy/Male
Tamil
First
FIRST ORDER
FIRST ORDER
Boy/Male
British, English
Warring Friend
Boy/Male
Welsh
Legendary son of Mwrheth.
Girl/Female
Hindu, Indian
Snow; Winter; Ice
Boy/Male
Arabic, Muslim
Free Flying Shah Sawar
Girl/Female
Tamil
Affection, Preeti, Motherly Love
Surname or Lastname
English
English : topographic name for someone who lived by a woodland pasture, from Middle English denn ‘woodland pasture, especially for swine’ (Old English denn, dænn).Scottish : from a short form of the personal name Daniel.German and French (Alsace) : topographic name for someone who lived by a pine tree, from Old High German tanna ‘pine tree’.
Girl/Female
American, Australian, British, Christian, English, French, Latin
Sorrowful; From Lothair's Kingdom; Sea Bird; The Bay; Laurel; Plant; Land of the People of Lothar
Boy/Male
Afghan, Arabic, Muslim, Parsi, Pashtun
Fortune; Luck
Surname or Lastname
English
English : topographic name for someone who lived by a postern gate, from Old French posterne; in some cases it would have been a metonymic occupational name for a gatekeeper.English : habitational name from Poston in Herefordshire or Poston in Shropshire, which is named with an Old English personal name Possa + þorn ‘thorn tree’.
Boy/Male
Indian, Kannada
Meaningful; God Name
FIRST ORDER
FIRST ORDER
FIRST ORDER
FIRST ORDER
FIRST ORDER
a.
First-formed.
a.
Most eminent or exalted; most excellent; chief; highest; as, Demosthenes was the first orator of Greece.
a.
Of the best class; of the highest rank; in the first division; of the best quality; first-rate; as, a first-class telescope.
adv.
Beforehand; first.
a.
Preceding all others of a series or kind; the ordinal of one; earliest; as, the first day of a month; the first year of a reign.
v. t.
To strike with the fist.
adv.
In the first place; first in order.
adv.
First.
adv.
Before any other person or thing in time, space, rank, etc.; -- much used in composition with adjectives and participles.
n. pl.
First fruits.
n.
The upper part of a duet, trio, etc., either vocal or instrumental; -- so called because it generally expresses the air, and has a preeminence in the combined effect.
v. t.
To gripe with the fist.
a.
First.
n.
A first game; first plan.
a.
First; chief.
a.
Foremost; in front of, or in advance of, all others.
n.
First opening or expansion; first appearance; beginning; rise.
a.
Obtained directly from the first or original source; hence, without the intervention of an agent.