Compare second-order predicate and higher-order predicate.

Compare this statement of a nineteenth-century judge with how Congressman Martin, according to the Daily Labor Report of Sept. 19, 1961, defends the necessity of enacting anti-trust legislation in the field of labor `` if we wish to prevent monopolistic fixing of wages, production or prices and if we wish to preserve the freedom of the employer and his employees to contract on wages, hours and conditions of employment ''.

* Compare Altruism ( ethics ) – perception of altruism as self-sacrifice.

* Compare explanation of alms in various scriptures.

Compare also the following lines of Elvis Costello's song " Oliver's Army ": Oliver's Army are on their way / Oliver's Army is here to stay.

) ( Compare this image with image of leg of mouse.

Compare the appearance of the Welsh Taliesin in the second branch of the Mabinogi.

( Compare the United Nations Security Council, in which the veto power of the permanent members ensures that the organization does not become involved in crises where it could not enforce its decisions.

Compare tortfeasance.

Compare to the low-frequency noise ( 50 Hz or 60 Hz ) of mains hum.

Compare the atomic number ( Z ) of the atoms directly attached to the stereocenter ; the group having the atom of higher atomic number receives higher priority.

Control systems can be thought of as having four functions ; Measure, Compare, Compute, and Correct.

Compare this with < tt >/ dev / null </ tt > which is also a file, but its size may be obscure.

Compare the ingredients listed ( spirits, sugar, water, and bitters ) with the ingredients of an Old Fashioned, which originated as a term used by late 19th century bar patrons to distinguish cocktails made the “ old-fashioned ” way from newer, more complex cocktails.

Compare with the section on divinity and mortals given below.

Compare these transcriptions of Chinese 道: Wade – Giles tao or tao < sup > 4 </ sup > ( marking 4th tone ), Legge romanization tâo, Latinxua Sin Wenz dau, Yale Romanization dàu, Mandarin Phonetic Symbols II dau, Hanyu Pinyin dào, Tongyong Pinyin daˋo, Gwoyeu Romatzyh or National Romanization daw, Zhuyin fuhao ㄉㄠ, and Cyrillic Palliday system дао.

This equation always has a solution for any positive N. Compare this to:

: Compare, for example, such occasions for fallacy as are supplied by " Epimenides is a liar " or " That surface is red ," which may be resolved into " All or some statements of Epimenides are false ," " All or some of the surface is red.

( Compare this with the modern study of particle physics.

( Compare this with the modern theory of quantum physics, which postulates a non-deterministic random motion of fundamental particles, which do not swerve absent an external force ; randomness originates in interaction of particles in incompatible eigenstates.

( Compare Sublime Porte, an old term for the Ottoman government.

( Compare to motherland and homeland.

Compare the carved and incised " sacred glyphs " hieroglyphs, which have had a longer history in English, dating from the first Elizabethan translation of Plutarch, who adopted " hieroglyphic " as a Latin adjective.

Compare with the Latin adages Omnia mutantur and Tempora mutantur () and the Japanese tale Hōjōki, () which contains the same image of the changing river, and the central Buddhist doctrine of impermanence.

Compare individualistic culture.

The adjective " first-order " distinguishes first-order logic from higher-order logic in which there are predicates having predicates or functions as arguments, or in which one or both of predicate quantifiers or function quantifiers are permitted.

* Filter ( higher-order function ), a higher-order function that processes a data structure ( typically a list ) in some order to produce a new data structure containing exactly those elements of the original data structure for which a given predicate returns the boolean value true

In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and a stronger semantics.

The term " higher-order logic ", abbreviated as HOL, is commonly used to mean higher order simple predicate logic.

In higher-order logic, predicate variables correspond to propositional variables which can stand for well-formed formulas of the same logic, and such variables can be quantified by means of ( at least ) second-order quantifiers.

Its syntax was based on PDDL, but it had a much more elaborate type system, which allowed users to make use of higher-order constructs such as explicit λ-expressions allowing for efficient type-inference ( i. e. not only domain objects had types ( level 0 types ), but also the functions / fluents defined above these objects had types in the form of arbitrary mappings ( level 1 types ), which could be generic, so their parameters ( the domain and range of the generic mapping ) could be defined with variables, which could have an even higher level type ( level 2 type ) not to speak of that the mappings could be arbitrary, i. e. the domain or range of a function ( e. g. predicate, numeric fluent ) could be any level 0 / 1 / 2 type.

In Martin-Löf type theory and higher-order Heyting arithmetic, the appropriate statement of the axiom of choice is ( depending on approach ) included as an axiom or provable as a theorem.

By preserving the value, only one division operation is needed and the higher-order statistics can thus be calculated for little incremental cost.

* Lawrence C. Paulson of the University of Cambridge, work on higher-order logic system, co-developer of the Isabelle Theorem Prover

This happens, on Rosenthal ’ s account, through the use of a higher-order thought that is directed on the mental state in question.

General category theory, an extension of universal algebra having many new features allowing for semantic flexibility and higher-order logic, came later ; it is now applied throughout mathematics.

Multifunctional solids often are catalytically active, e. g. zeolites, alumina, higher-order oxides, graphitic carbon, nanoparticles, nanodots, and facets of bulk materials.

Faà di Bruno's formula for higher-order derivatives of single-variable functions generalizes to the multivariable case.

The design has the same precision on all columns, but when calculating polynomials, the precision on the higher-order columns could be lower.

Conversely, Derek Bickerton and others argue that the advent of abstract words provided a mental basis for analyzing higher-order relations, and that any communication system that remotely resembles human language utterly relies on cognitive architecture that co-evolved alongside language.

A multiplier has usually the advantage of rejecting-at least partly-undesired higher-order intermodulations and larger conversion gain.

In addition to Gaussian minimum-shift keying ( GMSK ), EDGE uses higher-order PSK / 8 phase shift keying ( 8PSK ) for the upper five of its nine modulation and coding schemes.

The frequency spectrum of an actual FM signal has components extending infinitely, although their amplitude decreases and higher-order components are often neglected in practical design problems.

It does have a notion of " generator ", which amounts to a function accepting a function as an argument, and, since it is an assembly-level language, code can be used as data, so IPL can be regarded as having higher-order functions.

In calculus, an example of a higher-order function is the differential operator, which returns the derivative of a function.

Higher-order functions are closely related to first-class functions, in that higher-order functions and first-class functions both allow functions as arguments and results of other functions.

In interpreted higher-order theories, predicates may be interpreted as sets of sets.

Second-order logic, for example, does not have a completeness theorem for its standard semantics ( but does have the completeness property for Henkin semantics ), and the same is true of all higher-order logics.

It is possible to produce sound deductive systems for higher-order logics, but no such system can be complete.

Later in his life, Greenberg proposed that nearly all of the language families of northern Eurasia belong to a single higher-order family, which he called Eurasiatic.

For the case of Bragg reflection only the lowest-order reflection is allowed if the light is incident along the helical axis, whereas for oblique incidence higher-order reflections become permitted.

These higher-order averages are more difficult to measure, but can yield additional information about molecular ordering.