Compare 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.

An " extensional stance " and restriction to a second-order predicate logic means that a propositional function extended to all individuals such as " All ' x ' are blue " now has to list all of the ' x ' that satisfy ( are true in ) the proposition, listing them in a possibly infinite conjunction: e. g. x < sub > 1 </ sub > V x < sub > 2 </ sub > V.

In mathematical logic, a second-order predicate is a predicate that takes a first-order predicate as an argument.

In mathematical logic, predicate logic is the generic term for symbolic formal systems like first-order logic, second-order logic, many-sorted logic, or infinitary logic.

" It is possible to define a formula True ( n ) whose extension is T *, but only by drawing on a metalanguage whose expressive power goes beyond that of L. For example, a truth predicate for first-order arithmetic can be defined in second-order arithmetic.

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.

Each set of predicates ( words like hit, broke, cry, happy are first order-predicates ; Cause is a second-order predicate ) and arguments ( often consisting of an agent / subject ( e. g. John in ‘ P ’), a recipient / object ( e. g. Chris in ‘ P ’) and an instrument ( e. g. the unicycle in ‘ P ’)) are in turn manipulated as propositions: event / statement “ John hit Chris with the unicycle ” is represented as proposition ‘ P ’.

It was invented by Gottlob Frege, who also invented predicate calculus, in 1879 as part of his second-order predicate calculus ( although Charles Peirce was the first to use the term " second-order " and developed his own version of the predicate calculus independently of Frege ).

Given a formula and a predicate, circumscribing in is the following second-order formula:

MK can be confused with second-order ZFC, ZFC with second-order logic ( representing second-order objects in set rather than predicate language ) as its background logic.

A common strategy is to realize a higher-order ( greater than 2 ) digital filter as a cascaded series of second-order " biquadratric " ( or " biquad ") sections ( see digital biquad filter ).

Dot notation is not very useful for higher-order derivatives, but in mechanics and other engineering fields, the use of higher than second-order derivatives is limited.

In much of the research currently conducted upon various phenomena of non-referential indexicality, there is an increased interest in not only what is called first-order indexicality, but subsequent second-order as well as " higher-order " levels of indexical meaning.

Michael Silverstein has also argued that indexical order can transcend levels such as second-order indexicality and discusses higher-order indexicality in terms of what he calls " oinoglossia " or " wine talk ".

In classical conditioning, second-order conditioning or higher-order conditioning is a form of learning in which a stimulus is first made meaningful or consequential for an organism through an initial step of learning, and then that stimulus is used as a basis for learning about some new stimulus.

In the second-order theory, one of the normal stress differences can be calculated from the first-order stress relaxation function.

Sometimes slightly stronger theories such as Morse-Kelley set theory or set theory with a strongly inaccessible cardinal allowing the use of a Grothendieck universe are used, but in fact most mathematicians can actually prove all they need in systems weaker than ZFC, such as second-order arithmetic.

However, expressing these properties as axioms requires use of second-order logic.

Vincent Rijmen, in his Ph. D. thesis, introduced a second-order differential attack that can break four rounds and no more.

Since this is a second-order differential equation, there must be two linearly independent solutions.

Propositional satisfiability has various generalisations, including satisfiability for quantified Boolean formula problem, for first-and second-order logic, constraint satisfaction problems, 0-1 integer programming, and maximum satisfiability problem.

* Due to special electronic effects such as ( second-order ) Jahn-Teller stabilization, certain geometries are stabilized relative to the other possibilities, e. g. for some compounds the trigonal prismatic geometry is stabilized relative to octahedral structures for six-coordination.

In terms of analytic geometry, the restriction of classical geometry to compass and straightedge constructions means a restriction to first-and second-order equations, e. g., y

In the case of doubling the cube, the impossibility of the construction originates from the fact that the compass and straightedge method involve first-and second-order equations, while doubling a cube requires the solution of a third-order equation.

* Single-ended output stages ( be they tube or transistor ) have an asymmetrical transfer function, meaning that even order harmonics in the created distortion tend not to be canceled ( as they are in push – pull output stages ); by using tubes OR FETs most of the distortion is from the square law transfer characteristic and so second-order, which some consider to be " warmer " and more pleasant.

Categorical axiom systems for these structures can be obtained in stronger logics such as second-order logic.

When the temperature rises beyond a certain point, called the Curie temperature, there is a second-order phase transition and the system can no longer maintain a spontaneous magnetization, although it still responds paramagnetically to an external field.

When considered over a countable language, the completeness and compactness theorems are equivalent to each other and equivalent to a weak form of choice known as weak König's lemma, with the equivalence provable in RCA < sub > 0 </ sub > ( a second-order variant of Peano arithmetic restricted to induction over Σ < sup > 0 </ sup >< sub style =" margin-left :- 0. 6em "> 1 </ sub > formulas ).

The set of logically-valid formulas in second-order logic is not enumerable.

However, the glass transition may be described as analogous to a second-order phase transition where the intensive thermodynamic variables such as the thermal expansivity and heat capacity are discontinuous.

The algorithm has second-order convergent nature, which essentially means that the number of correct digits doubles with each step of the algorithm.

While the first-order experiments could be explained by a modified stationary aether, more precise second-order experiments were expected to give positive results, however, no such results could be found.

" One might think: if philosophy speaks of the use of the word " philosophy " there must be a second-order philosophy.

But it is not so: it is, rather, like the case of orthography, which deals with the word " orthography " among others without then being second-order.

Some authors say that philosophical enquiry is second-order, having concepts, theories and presupposition as its subject matter.