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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
Topics referred to by the same term
Look up second-order in Wiktionary, the free dictionary. Second-order may refer to: Second order approximation, an approximation that includes quadratic
Second-order
Application of cybernetics to itself
Second-order cybernetics, also known as the cybernetics of cybernetics, is the recursive application of cybernetics to itself and the reflexive practice
Second-order_cybernetics
Mathematical system
In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets. It is an alternative
Second-order_arithmetic
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
Convex optimization problem
A second-order cone program (SOCP) is a convex optimization problem of the form minimize f T x {\displaystyle \ f^{T}x\ } subject to ‖ A i x + b i
Second-order_cone_programming
1981 book by Jean Baudrillard
becomes a totally meaningless concept. Part of the three-order simulacra, the second-order simulacra, a term coined by Jean Baudrillard, are symbols
Simulacra_and_Simulation
Physical process of transition between basic states of matter
transition is second-order at zero external field;[citation needed] for a Type-II superconductor, the phase transition is second-order for both normal-state–mixed-state
Phase_transition
A second-order fluid is a fluid where the stress tensor is the sum of all tensors that can be formed from the velocity field with up to two derivatives
Second-order_fluid
Relation between chemical reaction rate and concentrations of the reactants
represents concurrent first order and second order reactions (or more often concurrent pseudo-first order and second order) reactions, and can be described
Rate_equation
Form of learning
In classical conditioning, second-order conditioning or higher-order conditioning is a form of learning in which the first stimulus is classically conditioned
Second-order_conditioning
Mathematical operation
calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative
Second_derivative
Type of functional equation (mathematics)
only first-order derivatives is a first-order differential equation, an equation containing the second-order derivative is a second-order differential
Differential_equation
Second-order intercept point, also known as the SOI, IP2, or IIP2 (Input intercept point), is a measure of linearity that quantifies the second-order
Second-order_intercept_point
Aspect of mathematical logic
a second-order predicate is a predicate that takes a first-order predicate as an argument. Compare higher-order predicate. The idea of second order predication
Second-order_predicate
Catholic order of convent nuns
Clarist Order, and the Second Order of Saint Francis, are members of an enclosed order of nuns in the Catholic Church. The Poor Clares were the second Franciscan
Poor_Clares
Compact composite lens
First-order lens from Destruction Island WA, built in France 1888. Currently at Westport Maritime Museum. Close-up of a second-order lens Third-order lens
Fresnel_lens
Catholic religious order for enclosed nuns
When referring to Roman Catholic religious orders, the term second order refers to those communities of contemplative cloistered nuns which are a part
Second_order_(religious)
Instantaneous rate of change (mathematics)
differentials, whereas prime notation is written by adding a prime mark. Higher order notations represent repeated differentiation, and they are usually denoted
Derivative
Form of second-order logic
In mathematical logic, monadic second-order logic (MSO) is the fragment of second-order logic where the second-order quantification is limited to quantification
Monadic_second-order_logic
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_test
Type of propositional logic
A second-order propositional logic is a propositional logic extended with quantification over propositions. A special case are the logics that allow second-order
Second-order propositional logic
Second-order_propositional_logic
Polynomial function of degree two
which of the two is meant. Sometimes the word "order" is used with the meaning of "degree", e.g. a second-order polynomial. However, where the "degree of a
Quadratic_function
Function that takes one or more functions as an input or that outputs a function
In mathematics and computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions
Higher-order_function
Type of logical system
be obtained in stronger logics such as second-order logic. Historically speaking, the foundations of first-order logic were developed independently by
First-order_logic
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
British magical order (1887–1903)
known as the "First Order" or "Outer Order". A "Second Order" or "Inner Order" was established and became active in 1892. The Second Order consisted of members
Hermetic Order of the Golden Dawn
Hermetic_Order_of_the_Golden_Dawn
Honor bestowed by the government of Japan
The Order of the Sacred Treasure (瑞宝章, Zuihō-shō) is a Japanese order, established on 4 January 1888 by Emperor Meiji as the Order of Meiji. Originally
Order_of_the_Sacred_Treasure
Expressions for approximation accuracy
a first-order approximation, a second-order approximation, etc. Variations such as zero-order approximation and order-zero approximation are also seen
Order_of_approximation
Type of reversible cellular automaton
A second-order cellular automaton is a type of reversible cellular automaton (CA) invented by Edward Fredkin where the state of a cell at time t depends
Second-order cellular automaton
Second-order_cellular_automaton
Inferring the speed and direction of objects
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
Philosophical term
Higher-order volitions (or higher-order desire), as opposed to action-determining volitions, are volitions about volitions. Higher-order volitions are
Higher-order_volition
Mathematical approach to quantum physics
Toichiro; Nio, Makiko (2012). "Tenth-order QED lepton anomalous magnetic moment: Eighth-order vertices containing a second-order vacuum polarization". Physical
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
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
Partial order between random variables
a factor only in second order stochastic dominance. Stochastic dominance does not give a total order, but rather only a partial order. For some pairs of
Stochastic_dominance
The Order of the Second of May (Spanish: Orden del Dos de Mayo) is one of the highest distinctions granted by the Community of Madrid, and has a single
Order_of_the_Second_of_May
Organic chemistry reaction
alcohol) is the nucleophile. While still a second order reaction mechanistically, the reaction is kinetically first order as the concentration of the nucleophile–the
SN2_reaction
Type of signal filter
filter is described as a second-order circuit, meaning that any voltage or current in the circuit can be described by a second-order differential equation
Low-pass_filter
Second order recursive digital linear filter
In signal processing, a digital biquad filter is a second order recursive linear filter, containing two poles and two zeros, which implements the analog
Digital_biquad_filter
Time for exponential decay to remove half of a quantity
concentration and depends solely on the reaction rate constant, k. In second order reactions, the rate of reaction is proportional to the square of the
Half-life
Formal system of logic
types. First-order logic quantifies only variables that range over individuals; second-order logic, also quantifies over sets; third-order logic also quantifies
Higher-order_logic
Pejorative term in literary criticism
originated with author James Blish. Knight went on to coin the term second-order idiot plot as a narrative "in which not merely the principals, but everybody
Idiot_plot
Typed lambda calculus
System F (also polymorphic lambda calculus or second-order lambda calculus) is a typed lambda calculus that introduces, to simply typed lambda calculus
System_F
Method of deriving conclusions
discourse. An important difference between first-order and second-order logic is that second-order logic is incomplete, meaning that it is not possible
Rule_of_inference
System for ordering words, names and phrases
alphabetic order. There are two orders found, one of which is nearly identical to the order used for Hebrew, Greek and Latin, and a second order very similar
Alphabetical_order
State of being real
than others. The orthodox position in ontology is that existence is a second-order property, or a property of properties. For example, to say that lions
Existence
Limitative results in mathematical logic
theorem, is undecidable in (first-order) Peano arithmetic, but can be proved in the stronger system of second-order arithmetic. Kirby and Paris later
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
In computer science, higher-order abstract syntax (abbreviated HOAS) is a technique for the representation of abstract syntax trees for languages with
Higher-order_abstract_syntax
Season of American television series
1998 television movie Exiled, as well as seasons 5–7 of the second spin-off series Law & Order: Criminal Intent. Jerry Orbach as Senior Detective Lennie
Law_&_Order_season_5
Index of articles associated with the same name
order of battle for the Second Battle of Kernstown includes: Second Battle of Kernstown order of battle: Confederate Second Battle of Kernstown order
Second Battle of Kernstown order of battle
Second_Battle_of_Kernstown_order_of_battle
Units in the 1864 campaign
order of battle is listed separately. Order of battle compiled from the army organization during the campaign. This order of battle covers the second
Atlanta campaign order of battle: Second phase, Confederate
Atlanta_campaign_order_of_battle:_Second_phase,_Confederate
The Italian order of battle for the Second Italo-Ethiopian War on 8 October 1935. The Ethiopian order of battle is listed separately. Commander: General
Second Italo-Ethiopian War order of battle: Italy
Second_Italo-Ethiopian_War_order_of_battle:_Italy
Nonlinear optical process
Second-harmonic generation (SHG), also known as frequency doubling, is the lowest-order wave-wave nonlinear interaction that occurs in various systems
Second-harmonic_generation
Order of battle for 1942 battle in Egypt
Dispositions for the Second Battle of El Alamein The Second Battle of El Alamein (23 October – 11 November 1942) was a battle of the Second World War that took
Second Battle of El Alamein order of battle
Second_Battle_of_El_Alamein_order_of_battle
Topics referred to by the same term
Second Corinth order of battle may refer to: Second Corinth Confederate order of battle Second Corinth Union order of battle This disambiguation page lists
Second Corinth order of battle
Second_Corinth_order_of_battle
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)
The derivatives of scalars, vectors, and second-order tensors with respect to second-order tensors are of considerable use in continuum mechanics. These
Tensor derivative (continuum mechanics)
Tensor_derivative_(continuum_mechanics)
Model parameters in mathematical finance
first order derivatives: delta, vega, theta and rho; as well as gamma, a second-order derivative of the value function. The remaining sensitivities in this
Greeks_(finance)
fought in the Second Battle of Bull Run, called the Second Battle of Manassas by Confederate records, of the American Civil War. The Union order of battle
Second Battle of Bull Run order of battle: Confederate
Second_Battle_of_Bull_Run_order_of_battle:_Confederate
of the Ethiopian Empire List of Second Italo-Ethiopian War weapons of Ethiopia Italian order of battle for the Second Italo-Ethiopian War Barker, A. J
Second Italo-Ethiopian War order of battle: Ethiopia
Second_Italo-Ethiopian_War_order_of_battle:_Ethiopia
Technique for solving linear ordinary differential equations
Reduction of order (or d’Alembert reduction) is a technique in mathematics for solving second-order linear ordinary differential equations. It is employed
Reduction_of_order
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
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
Statement that is taken to be true
axioms 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
Axiom
British order of chivalry established in 1917
services rendered in the UK and overseas. The order was retained after the decline of the British Empire in the second half of the 20th century. Today, the majority
Order_of_the_British_Empire
Family of implicit and explicit iterative methods
Classical seventh-, sixth-, and fifth-order Runge–Kutta–Nyström formulas with stepsize control for general second-order differential equations (Report) (NASA
Runge–Kutta_methods
Semantic similarity measure
In computational linguistics, second-order co-occurrence pointwise mutual information (SOC-PMI) is a method used to measure semantic similarity, or how
Second-order co-occurrence pointwise mutual information
Second-order_co-occurrence_pointwise_mutual_information
Differential equation containing derivatives with respect to only one variable
disciplines. Sturm–Liouville theory is a theory of a special type of second-order linear ordinary differential equation. Their solutions are based on eigenvalues
Ordinary differential equation
Ordinary_differential_equation
Concept in quantum optics
between fields, namely the correlation of intensities, which correspond to second order coherences. Coherent waves have a well-defined constant phase relationship
Higher_order_coherence
Index of articles associated with the same name
The order of battle for the Second Battle of Corinth, or in the context of the American Civil War, simply the Battle of Corinth, includes: Second Battle
Second Battle of Corinth order of battle
Second_Battle_of_Corinth_order_of_battle
Axioms for the natural numbers
between 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
Index of articles associated with the same name
The order of battle for the Second Battle of Ream's Station includes: Second Battle of Ream's Station order of battle: Confederate Second Battle of Ream's
Second Battle of Ream's Station order of battle
Second_Battle_of_Ream's_Station_order_of_battle
commanders fought in the Second Battle of Corinth of the American Civil War on October 3 and 4, 1862, in Corinth, Mississippi. Order of battle compiled from
Second Battle of Corinth order of battle: Confederate
Second_Battle_of_Corinth_order_of_battle:_Confederate
Type of differential equation
uyx, the general linear second-order PDE in two independent variables has the form A u x x + 2 B u x y + C u y y + ⋯ (lower order terms) = 0 , {\displaystyle
Partial_differential_equation
Word order common in Germanic languages
syntax, verb-second (V2) word order is a sentence structure in which the finite verb of a sentence or a clause is placed in the clause's second position,
V2_word_order
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)
0 1 {\displaystyle {\begin{array}{c|c}0&0\\\hline &1\\\end{array}}} Second-order methods can be generically written as follows: 0 0 0 α α 0 1 − 1 2 α
List_of_Runge–Kutta_methods
Study of circular causal processes
take place. Radical constructivism Second-order cybernetics: Also known as the cybernetics of cybernetics, second-order cybernetics is the recursive application
Cybernetics
Index of articles associated with the same name
The order of battle for the Second Battle of Bull Run includes: Second Battle of Bull Run order of battle: Confederate Second Battle of Bull Run order of
Second Battle of Bull Run order of battle
Second_Battle_of_Bull_Run_order_of_battle
Type of Christian religious order
first order (the male religious, who were generally the first established), the second order (nuns, established second), and then the third order of laity
Third_order
Roman Catholic religious institute
The Servite Order, officially known as the Order of Servants of Mary (Latin: Ordo Servorum Beatae Mariae Virginis; abbreviated OSM), is one of the five
Servite_Order
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
Mathematical theorem
mathematics, the symmetry of second derivatives (also called the equality of mixed partials) is the fact that exchanging the order of partial derivatives of
Symmetry of second derivatives
Symmetry_of_second_derivatives
Sensory spinal pathway
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
2017 United States executive order
superseded by Executive Order 13780, a second order sharing the same title. Part of a series of executive actions, Executive Order 13769 lowered the number
Executive_Order_13769
Units in the 1864 campaign
order of battle is listed separately. Order of battle compiled from the army organization during the campaign. This order of battle covers the second
Atlanta campaign order of battle: Second phase, Union
Atlanta_campaign_order_of_battle:_Second_phase,_Union
Imperial Russian order
According to this, the First Class Order of Saint Vladimir was the second one—the first was the Saint George Order—by its significance. According to Russian
Order_of_Saint_Vladimir
Order of battle for 1863 American Civil War battle
The order of battle for the Second Battle of Winchester includes: Second Battle of Winchester order of battle: Confederate Second Battle of Winchester
Second Battle of Winchester order of battle
Second_Battle_of_Winchester_order_of_battle
Model to predict the geometry of molecules
Second-order Jahn-Teller distortion (commonly known as pseudo Jahn-Teller distortion) is a singular, general, and powerful approach rigorously based in
Second-order Jahn-Teller distortion in main-group element compounds
Second-order_Jahn-Teller_distortion_in_main-group_element_compounds
Ordinary differential equation
yielding the basic solutions. The most common Cauchy–Euler equation is the second-order equation, which appears in a number of physics and engineering applications
Cauchy–Euler_equation
Branch of mathematical logic
theory. Reverse mathematics is usually carried out using subsystems of second-order arithmetic, where many of its definitions and methods are inspired by
Reverse_mathematics
3-volume treatise on mathematics, 1910–1913
the notions of first-order and second-order functions and propositions. New symbolism "φ ! x" represents any value of a first-order function. If a circumflex
Principia_Mathematica
American television series (1999–present)
Law & Order: Special Victims Unit (often shortened to Law & Order: SVU or SVU) is an American police procedural crime drama television series created
Law & Order: Special Victims Unit
Law_&_Order:_Special_Victims_Unit
Army units and commanders fought in the Second Battle of Ream's Station on August 25, 1864. The Union order of battle is listed separately. Gen = General
Second Battle of Ream's Station order of battle: Confederate
Second_Battle_of_Ream's_Station_order_of_battle:_Confederate
fought in the Second Battle of Bull Run, also known as the Second Battle of Manassas, of the American Civil War. The Confederate order of battle is listed
Second Battle of Bull Run order of battle: Union
Second_Battle_of_Bull_Run_order_of_battle:_Union
Scientific theory
to disorders in which, e.g., one has a first-order perception of red which mis-triggers a second-order sense of "looks orange". But we do not see any
Higher-order theories of consciousness
Higher-order_theories_of_consciousness
Nigerian order of merit
The Order of the Niger (OON) is the second highest national award in Nigeria. It was instituted in 1963 and is junior to the Order of the Federal Republic
Order_of_the_Niger
Changing the balance of frequency components in an audio signal
resistor. Second-order filters are capable of resonance (or anti-resonance) around a particular frequency. The response of a second-order filter is specified
Audio_equalization
Algebraic object with geometric applications
and strain tensor are both second-order tensor fields, and are related in a general linear elastic material by a fourth-order elasticity tensor field. In
Tensor
American television series (1990–2010, 2022–present)
Attorney/District Attorney Jack McCoy. Law & Order's twenty-five seasons are second only to its spin-off Law & Order: Special Victims Unit (1999–present) for
Law_&_Order
SECOND ORDER
SECOND ORDER
Girl/Female
Indian
Dual, Second
Boy/Male
Indian
Second
Boy/Male
African American American
Of man.
Girl/Female
Tamil
Second
Male
English
Variant spelling of Middle English Estmond, ESMOND means "gracious protector."Â
Boy/Male
Scottish American
Second son.
Girl/Female
Biblical
Second.
Girl/Female
Tamil
Dual, Second
Female
English
From the name of the state of Arizona in the United States of America, a place considered sacred by the Native Americans. It was named after Sedona Miller Schnebly (1877-1950), the wife of the city's first postmaster. Meaning unknown.
Female
English
Anglicized form of Scottish Gaelic Seònaid, SEONA means "God is gracious."
Girl/Female
Muslim
Second Khalifah
Girl/Female
Spanish
Lively.
Boy/Male
Scottish
Second son.
Surname or Lastname
English
English : from an Old English personal name composed of the elements ēast ‘grace’, ‘beauty’ + mund ‘protection’. This name was also used by the Norman, among whom it represents a continental Germanic cognate of the Old English name.
Boy/Male
American, British, Christian, English, French, German
Wealthy Protector; Protected by Grace; Gracious Protector
Boy/Male
Scottish American Irish Russian
Second son.
Girl/Female
Indian
Second
Boy/Male
Christian & English(British/American/Australian)
Protective Grace
Surname or Lastname
English
English : from Richward, a Norman personal name composed of the Germanic elements rīc ‘power(ful)’ + ward ‘guard’.French : from Old French record, recort ‘recollection’, ‘account’, ‘testimony’, and by extension ‘witness’, hence perhaps a nickname for someone who had given evidence in a court of law, or a metonymic occupational name for a clerk who recorded court proceedings.New England variant of French Ricard, reflecting an Americanized spelling of the Canadian pronunciation.
Boy/Male
English
Protected by God. Grace and protection. From the Old English name Estmund. Commonly used as a...
SECOND ORDER
SECOND ORDER
Biblical
warlike; a lover of horseslover of horses
Boy/Male
American, Australian, British, English, German
Divine Ruler
Female
French
Variant form of French Provençal Aliénor, ELÉONORE means "foreign; the other."
Girl/Female
Tamil
Lajjita | லஜà¯à®œà¯€à®¤à®¾
Modest, Shied
Boy/Male
Australian, British, Dutch, English, French, Greek, Latin
Glorious Gift
Girl/Female
Tamil
Narnrata | நாரà¯à®¨à¯à®°à®¤à®¾
Humble, Submissive
Boy/Male
English German Danish
He who holds Christ in his heart. Famous Bearers: actors Christopher Plummer and Christopher...
Boy/Male
American, Anglo, Australian, British, English
From the Meadow; Meadow
Girl/Female
Greek
Prophetess; oracle.
Girl/Female
Muslim/Islamic
Beautiful
SECOND ORDER
SECOND ORDER
SECOND ORDER
SECOND ORDER
SECOND ORDER
a.
Immediately following the first; next to the first in order of place or time; hence, occuring again; another; other.
n.
A secdond trial, experiment, or test; a second judicial trial, as of an accused person.
a.
Having the power of second-sight.
n.
The second part in a concerted piece; -- often popularly applied to the alto.
n.
The second part in a concerted piece.
v. t.
A writing by which some act or event, or a number of acts or events, is recorded; a register; as, a record of the acts of the Hebrew kings; a record of the variations of temperature during a certain time; a family record.
a.
Being of the same kind as another that has preceded; another, like a protype; as, a second Cato; a second Troy; a second deluge.
a.
The sixtieth part of a minute of time or of a minute of space, that is, the second regular subdivision of the degree; as, sound moves about 1,140 English feet in a second; five minutes and ten seconds north of this place.
a.
Cutting; divivding into two parts; as, a secant line.
adv.
Secondly; in the second place.
imp. & p. p.
of Second
prep.
Past, out of the reach or sphere of; further than; greater than; as, the patient was beyond medical aid; beyond one's strength.
a.
Of the second size, rank, quality, or value; as, a second-rate ship; second-rate cloth; a second-rate champion.
n.
That which is seen at a second view; a meaning beyond the literal sense; the second intention; a hidden signification.
adv.
In the second place.
a.
Of the rank or degree below the best highest; inferior; second-rate; as, a second-class house; a second-class passage.
n.
A right of inheritance belonging to a second son; a property or possession so inherited.
n.
A unit for the measurement of small intervals of time, such that 1012 (ten trillion) of these units make one second.
n.
One who seconds or supports what another attempts, affirms, moves, or proposes; as, the seconder of an enterprise or of a motion.
a.
To follow or attend for the purpose of assisting; to support; to back; to act as the second of; to assist; to forward; to encourage.