In any case, there is no special milling or rabbeting required for the panels.

The diagonalizable operator is the special case of this in which Af for each i.

The reader will find it helpful to think of the special case when the primes are of degree 1, and even more particularly, to think of the proof of Theorem 10, a special case of this theorem.

In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.

Richard Stewart is no special case.

And while every writer must be dealt with as a special case, the interested student will want to ask himself a number of questions about each.

In either case, it could call a special session of the Legislature later in 1961 to make another stab at raising additional revenues through a tax raiser.

Patrolman George Kimmell, of McClellan Station, said he would recommend a special safety citation for Ralph Sisk, 9230 Vernor east, a third grader at the Scripps School, for his assistance in the case.

It said the tax-freedom of the gain in this case stemmed not from the exempt status of the income but from a special rule on corporate liquidations.

To keep options available for lower case letters and other graphics, the special and numeric codes were arranged before the letters, and the letter " A " was placed in position 41 < sub > hex </ sub > to match the draft of the corresponding British standard.

ANOVA is considered to be a special case of linear regression

which in turn is a special case of the general linear model.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

They also meet in England where Poirot often helps Japp solve a case and lets him take credit in return for special favours.

note that the above online algorithm III is a special case of an algorithm that works for any partition of the sample into sets,:

In general, area in higher mathematics is seen as a special case of volume for two-dimensional regions.

In the special case where the field quantities are independent of the z-coordinate we can eliminate to get

By 1912, Ostwald noted that the allotropy of elements is just a special case of the phenomenon of polymorphism known for compounds, and proposed that the terms allotrope and allotropy be abandoned and replaced by polymorph and polymorphism.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

Amdahl's law is often conflated with the law of diminishing returns, whereas only a special case of applying Amdahl's law demonstrates ' law of diminishing returns '.

Some authors, however, consider alkaloids a special case of amines.

According to the special theory of relativity, the aberration looks as a transform of the celestial sphere due to different frames of reference and is virtually a special case of velocity addition, namely one of the light beam and frames ' relative velocity v. The formula from relativistic aberration can be simplified to

These have more to do with the simplified models of bulk matter used, and in any case have nothing to do with general relativity, and need to be excluded.

A special case of this is a Lorentzian manifold, which is the mathematical basis of Einstein's general relativity theory of gravity.

In Newtonian mechanics, which can be viewed as a limiting case of special relativity in which the speed of light is infinite, inertial frames of reference are related by the Galilean group of symmetries.

Such was the case for general relativity at the time of its proposal, which is now considered science, and the case for string theory, which at the time of this article writing is a protoscience.

The theory was originally termed " special " because it applied the principle of relativity only to the special case of inertial reference frames, i. e. frames of reference in uniform relative motion with respect to each other.

Einstein developed general relativity to apply the principle in the more general case, that is, to any frame so as to handle general coordinate transformations, and that theory includes the effects of gravity.

It has always been the case that time and space are measured using real numbers, and the suggestion that the dimensions of space and time are comparable could have been raised by the first people to have formalized physics, but ultimately, the contradictions between Maxwell's laws and Galilean relativity had to come to a head with the realization of the import of finitude of the speed of light.

The paradox centers around the contention that, in relativity, either twin could regard the other as the traveler, in which case each should find the other younger — a logical contradiction.

The existential analytic of Being and Time was thus always only a first step in Heidegger's philosophy, to be followed by the " dismantling " ( Destruktion ) of the history of philosophy, that is, a transformation of its language and meaning, that would have made of the existential analytic only a kind of " limit case " ( in the sense in which special relativity is a limit case of general relativity ).

In general relativity, gravitational radiation is generated in situations where the curvature of spacetime is oscillating, such as is the case with co-orbiting objects.

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.

Special relativity suggests that the concept of simultaneity is not universal: according to the relativity of simultaneity, observers in different frames of reference can have different perceptions of whether a given pair of events happened at the same time or at different times, with there being no physical basis for preferring one frame's judgments over another's ( though in a case where one event A happens in the past light cone of another event B, all frames will agree that A happened in the past of B ).

The latter possibility finds an application in the theory of special relativity in the simplified case where there are two spatial dimensions and one time dimension.

The article geodesic ( general relativity ) discusses the special case of general relativity in greater detail.

In general relativity, mass ( and energy ) conservation in expanding volumes of space becomes a complicated concept, subject to different definitions, and neither mass nor energy is as strictly and simply conserved as is the case in special relativity and in Minkowski space.

De Jager ( 1955 ) has calculated the times required for these particles to reach the atmosphere under the influence of the Poynting-Robertson effect, which in this case causes the orbits to become more and more eccentric without changing the semi-major axis.

If adjectival meanings show relatively low retentiveness of stems, as I am confident will prove to be the case in most languages of the world, why should our basic lists include 15 per cent of these unstable forms, but only 8 per cent of animals and plants which replace much more slowly??

Here again laboratory approaches are being evolved, for it is recognized how `` elastic '' these readings can be, how they can apply to many people, and are often stated in general terms all too easily applied to any individual's own case.

Within Erikson's schema, the adolescent's delinquent behavior -- in this case, her unwed motherhood -- reflects her `` identity diffusion '', or her inability to resolve these various identity crises positively.

To make one nation out of these disparities would be a problem large enough in any case ; ;

In other types of alphabet either the vowels are not indicated at all, as was the case in the Phoenician alphabet ( such systems are known as abjads ), or else the vowels are shown by diacritics or modification of consonants, as in the devanagari used in India and Nepal ( these systems are known as abugidas or alphasyllabaries ).

In six stories, Christie allows the murderer to escape justice ( and in the case of the last three, implicitly almost approves of their crimes ); these are The Witness for the Prosecution, Five Little Pigs, The Man in the Brown Suit, Murder on the Orient Express, Curtain and The Unexpected Guest.

While these positions were well suited for most of his local constituency, this was not the case when he stepped outside that region politically.

In this case, the arthritis is considered to be secondary to the main disease ; these include:

For private suits only the victims or their families could prosecute, while for public suits anyone ( ho boulomenos, ' whoever wants to ' i. e. any citizen with full citizen rights ) could bring a case since the issues in these major suits were regarded as affecting the community as a whole.

In the Jewish Deuterocanonical book Second Maccabees, Chapter 2, " one finds in the records " that Jeremiah, having received an oracle of the Lord, ordered that the tent and the ark and the altar of incense should follow him to the mountain of God where he sealed them up in a cave, and he told those who followed him in order to mark the way ( but they could not find it ) " The place shall remain unknown until God gathers his people together again and shows his mercy, and then the Lord will disclose these things, and the glory of the Lord and the cloud shall appear, as they were shown in the case of Moses, and as Solomon asked that the place be specially consecrated.

As the Eudoses are the Jutes, these names probably refer to localities in Jutland or on the Baltic coast, in which case their inhabitants would be Cimbri or Teutones for Pliny.

Each of these stages includes the risk of interference in case the degree of phase transfer is different for the analyte in the calibration standard and in the sample.

Either the soul knew that the body was corrupt, or it did not ( in which case it would be “ laboring under ignorance ”); both of these considerations are cause for divine punishment.

The rare case risks are extremely high because these small price differences are converted to large profits via leverage ( borrowed money ), and in the rare event of a large price move, this may yield a large loss.

A recent study suggests that there are at least two distinct genetic lineages among the blind populations, arguing that these represent a case of convergent evolution.

It is possible these events, like the paintings, are full of rich metaphor or in the case of the animals of the desert, perhaps a vision or dream.

The exact chemical composition and the sequence in which these units are arranged is called the primary structure, in the case of proteins.

With their careful construction — and in the case of Easy Street and The Immigrant, their social commentary — these films are considered by Chaplin scholars to be among his finest work.

Finally, in the famous case of MacPherson v. Buick Motor Co., in 1916, Judge Benjamin Cardozo for New York's highest court pulled a broader principle out of these predecessor cases.

This may be the case for words such as church in rhotic dialects of English, although phoneticians differ in whether they consider this to be a syllabic consonant,, or a rhotic vowel,: Some distinguish an approximant that corresponds to a vowel, for rural as or ; others see these as a single phoneme,.

In traditional bookbinding, these assembled folios trimmed and curved were called " codex " in order to differentiate it from the " case " which we now know as " hard cover ".

Inside these one could find matchbooks and business cards apparently defaced by non-player characters, newspaper cuttings and ( in the case of Orient Express ) period passports to which players could attach their photographs, bringing a Live Action Role Playing feel to a tabletop game.

(" Metro " in this case being an abbreviation of " metropolitan ", to distinguish these services from regional trains under the V / Line brand.

In the case of enantiomers, these have no chemical or physical differences apart from being three-dimensional mirror images.