The 1976 definition of the astronomical unit was incomplete, in particular because it does not specify the frame of reference in which time is to be measured, but proved practical for the calculation of ephemerides: a fuller definition that is consistent with general relativity was proposed, and " vigorous debate " ensued until in August 2012 the International Astronomical Union adopted the current definition of 1 astronomical unit = 149597870700 meters.

In more general sense, each column is treated as a polynomial over GF ( 2 < sup > 8 </ sup >) and is then multiplied modulo x < sup > 4 </ sup >+ 1 with a fixed polynomial c ( x ) = 0x03 · x < sup > 3 </ sup > + x < sup > 2 </ sup > + x + 0x02.

In general, if y = f ( x ), then it can be transformed into y = af ( b ( x − k )) + h. In the new transformed function, a is the factor that vertically stretches the function if it is greater than 1 or vertically compresses the function if it is less than 1, and for negative a values, the function is reflected in the x-axis.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

* TIB = The Interpreter ’ s Bible, The Holy Scriptures in the King James and Revised Standard versions with general articles and introduction, exegesis, exposition for each book of the Bible in twelve volumes, George Arthur Buttrick, Commentary Editor, Walter Russell Bowie, Associate Editor of Exposition, Paul Scherer, Associate Editor of Exposition, John Knox Associate Editor of New Testament Introduction and Exegesis, Samuel Terrien, Associate Editor of Old Testament Introduction and Exegesis, Nolan B. Harmon Editor, Abingdon Press, copyright 1955 by Pierce and Washabaugh, set up printed, and bound by the Parthenon Press, at Nashville, Tennessee, Volume XI, Philippians, Colossians and Exegesis by Francis W. Beare, Exposition by G. Preston MacLeod, Thessalonians, Pastoral Epistles First and Second Epistles to Timothy, and the Epistle to Titus, Philemon, Hebrews

| more general = Fuel capacity: 375 gal ( 1, 420 l ) internal, 670 gal ( 2, 540 l ) with external drop tank

| more general =

This concept was fully elaborated within general relativity, in which physical properties ( which are partially determined by matter ) are attributed to space, but no substance or state of motion can be attributed to that " aether " ( aether = curved space-time ).

According to Magieduruge Ibrahim Didi, a learned man from Fua Mulaku, it was merely the name which the converted Maldivians used to refer to their infidel ( ghair dīn = ' redin ') ancestors after the general conversion from Buddhism to Islam.

| more general = Aspect ratio: 6. 4

This is considered to be a general property of simulations of NTMs by DTMs ; the most famous unresolved question in computer science, the P = NP problem, is related to this issue.

File: Albert Einstein ( Nobel ). png | Albert Einstein ( 1879-1955 ): revolutionized physics due to his theories of special and general relativity, described Brownian motion, awarded the Nobel Prize in Physics in 1921 for his work on the photoelectric effect, formulated mass – energy equivalence formula E = mc < sup > 2 </ sup >, published more than 300 scientific papers and over 150 non-scientific works, considered the " Father of Modern Physics "

( as opposed to the general G = T theory ) was amenable to exact solutions in terms of a generalization of the Lambert W function.

Tl – Ba – Ca – Cu – O superconductor: The first series of the Tl-based superconductor containing one Tl – O layer has the general formula TlBa < sub > 2 </ sub > Ca < sub > n-1 </ sub > Cu < sub > n </ sub > O < sub > 2n + 3 </ sub >, whereas the second series containing two Tl – O layers has a formula of Tl < sub > 2 </ sub > Ba < sub > 2 </ sub > Ca < sub > n-1 </ sub > Cu < sub > n </ sub > O < sub > 2n + 4 </ sub > with n = 1, 2 and 3.

| more general = Internal fuel capacity: 1, 933 US gal ( 7, 320 L ) of JP-5 fuel

| more general = Rotor systems: 4 blades on main rotor and tail rotor

This does not hold in general: given a finite group G and a divisor d of | G |, there does not necessarily exist a subgroup of G with order d. The smallest example is the alternating group G = A < sub > 4 </ sub >, which has 12 elements but no subgroup of order 6.

In this context it is commonly moved onto the right-hand side of the equation, and defined with a proportionality factor of 8: Λ = 8ρ < sub > vac </ sub >, where unit conventions of general relativity are used ( otherwise factors of G and c would also appear ).

In each case, where general relativity fails as the curvature of space-time invokes singularities from its equations at t = 0, the statistically " gray " nature of quantum cosmology tends to allow a scientific rationale to account for each paradox, and in so doing allows for a scientific perspective on previously theistic terrain.

| more general =

The production function takes the general form Y = f ( K, L ), where Y is output, K is capital stock and L is labor.

( a + b )< sup > n </ sup > = b < sup > n </ sup >( a / b + 1 )< sup > n </ sup >, the coefficients are identical in the expansion of the general case.

The isomorphisms between fibers obtained in this way will in general depend on the choice of the curve: if they do not then parallel transport along every curve can be used to define parallel sections of E over all of M. This is only possible if the curvature of ∇ is zero.

In general, after n moves, an upper limit on the possible transpositions is ( n !) ².

The general acceptance of the idea of governmental ( i.e., societal ) responsibility for the economic well-being of the American people is surely one of the two most significant watersheds in American constitutional history.

Yet his concern even here is with a slowly changing socio-economic order in general, and he never deals with such specific aspects of this change as the urban and industrial impact.

The general effect is tragic.

It is different with his volume The Swedes And Their Chieftains ( Svenskarna och deras Hovdingar ), a history intended for the general reader and particularly suited for high school students.

The same command is repeated as many times as there are levels in rank from general to corporal.

Even the officer in charge, be it a captain ( for small display ) or a general, is restrained by monitoring.

And it is clearly argued by Lord Percy of Newcastle, in his remarkable long essay, The Heresy Of Democracy, and in a more general way by Voegelin, in his New Science Of Politics, that this same Rousseauan idea, descending through European democracy, is the source of Marx's theory of the dictatorship of the proletariat.

However, it was not of innocence in general that I was speaking, but of perhaps the frailest and surely the least important side of it which is innocence in romantic love.

It is my studied conviction that no nation will ever risk general war against us unless we should become so foolish as to neglect the defense forces we now so powerfully support.

Steele's purpose is to present a general defense of his political writing and a resume of the themes which had occupied him in the Englishman ; ;

Its truth is illustrated by the skill, sensitivity, and general expertise of the English professor with whom one attends the theatre.

One might argue that the ultimate purpose of literary scholarship is to correct this spontaneous provincialism that is likely to obscure the horizons of the general public, of the newspaper critic, and of the creative artist himself.

An idea, of the sort that we have in mind, although of necessity readily available to imagination, is more general in connotation than most poetic or literary images, especially those appearing in lyric poems that seek to capture a moment of personal experience.

Although open to the general public it is not overcrowded ; ;

Such a list must naturally be selective, and the treatment of each man is brief, for I am interested only in their general ideas on the moral measure of literature.

He assures us, early in the Poetics, that all art is `` imitation '' and that all imitation gives pleasure, but he distinguishes between art in general and poetic art on the basis of the means, manner, and the objects of the imitation.

There is a clear relationship between their educational evaluations and their basic pattern of general values.

One reason is, of course, that the new scepticism has been willing to maintain the general picture of the invasions as portrayed in the traditional sources.

One is impressed with the dignity, clarity and beauty of this new translation into contemporary English, and there is no doubt that the meaning of the Bible is more easily understandable to the general reader in contemporary language in the frequently archaic words and phrases of the King James.

Prof. C. H. Dodd, 76, a Congregational minister and a leading authority on the New Testament, is general director of the project and chairman of the New Testament panel.

According to Friends, the unit was organized by John Snook, a former World War 2, commando who is vice president and general manager of the telephone company.