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.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

and she recited `` Hector's Farewell To Andromache '' most movingly, to the special delight of Rabbi Jastrow at his home in Germantown near Philadelphia, where the Szold girls took turns visiting between the visits of the Jastrow boys at the Szolds' in Baltimore.

In Europe, Premier Clemenceau, showing his animal proclivities as the `` Tiger of France '', asked Pershing by letter for the creation of special houses where the sexual desires of American men could be satisfied.

Of special interest this anniversary year of the war between the states are the many Civil War battlefields where, likely as not, you'll catch some memorial re-enactments.

Any musician playing Beethoven here, where Beethoven was born, is likely to examine his own interpretations with special care.

Of special importance were Tennessee and Arkansas, where Lincoln appointed Generals Andrew Johnson and Frederick Steele as military governors, respectively.

It lacks the NH < sub > 2 </ sub > group because of the cyclization of the side-chain and is known as an imino acid ; it falls under the category of special structured amino acids .</ ref > where R is an organic substituent known as a " side-chain "); often the term " amino acid " is used to refer specifically to these.

Of special historical interest is the observation of Abbahu in regard to the benediction " Baruk Shem Kebod Malkuto " ( Blessed be the Name of His glorious Kingdom ) after the " Shema ' Yisrael ," that in Palestine, where the Christians look for points of controversy, the words should be recited aloud ( lest the Jews be accused of tampering with the unity of God proclaimed in the Shema '), whereas in the Babylonian city of Nehardea, where there are no Christians, the words are recited with a low voice ( Pesahim 56a ).

A special case is that of congenital amputation, a congenital disorder, where fetal limbs have been cut off by constrictive bands.

An accumulator machine, also called a 1-operand machine, or a CPU with accumulator-based architecture, is a kind of CPU where, although it may have several registers, the CPU mostly stores the results of calculations in one special register, typically called " the accumulator ".

A binary relation is the special case of an n-ary relation R ⊆ A < sub > 1 </ sub > × … × A < sub > n </ sub >, that is, a set of n-tuples where the jth component of each n-tuple is taken from the jth domain A < sub > j </ sub > of the relation.

Some public authorities, police forces and military forces make use of armoured buses where there is a special need to provide increased passenger protection.

Another special case is the class of problems where each clause only contains exclusive or operators.

They stand on the platform where the Batmobile was, then rotates downward to another level where the sonar-modification equipment is kept, from the special Batsuit to the hi-tech weaponry.

The dead of Marathon were awarded by the Athenians the special honor of being the only ones who were buried where they died instead of the main Athenian cemetery at Keramikos.

Mumy worked again with Harris on the 1998 retrospective special Lost In Space: Forever, where they reprised their roles in a scene written by Mumy ( with Harris re-writing his lines ).

The University has general exchange agreements with many European and US universities and maintains a special exchange program agreement with National Chiao Tung University ( NCTU ) in Taiwan where the exchange students from the two universities maintains offices for, among other things, helping local students with applying and preparing for an exchange year as well as acting as representatives ( NCTU Europe – NCTU students at Chalmers, Chalmers Asia – Chalmers students at NCTU ).

In special cases, where only one eye deviates and the other does not, this often indicates a lesion ( or damage ) of the medial longitudinal fasciculus ( MLF ) which is a brainstem nerve tract.

In the special case where, so that f is a real-valued function, then this formula simplifies even further:

The same principle of `` redundancy '' applies to all communications on these special networks.

In light of all this, one would require special reasons for saying that the paths of the heavenly bodies were other than circular.

A special grandstand, protected by awnings from the midsummer sun of Illinois, should be erected for occupancy by honored guests, who should include the ambassadors of all those new African nations as yet not quite convinced that the United States is thoroughly civilized.

and now, therefore, do I, John A. Notte, Jr., Governor of the State of Rhode Island and Providence Plantations, proclaim the week of Monday, November 13, 1961, as the State Ballet of Rhode Island Week, requesting all Rhode Islanders to give special attention to this unusual event which should contribute to the cultural life of the State.

There shall be covered into the Treasury to the credit of the proper special fund all funds hereinafter specified.

Resolved that his wrongs and bereavements in Kansas, occasioned by the violence and brutality of those who were intent on the propagation of slavery in that territory, call for a charitable judgment upon his recent efforts in Virginia to undermine the despotism from which he had suffered, and commend his family to the special sympathy and aid of all who pity suffering and reverence justice.

Aside from the fact that business was slow this time of year and his one salesgirl was not the most enterprising, Mr. Phillips had no worries at all, and he said as much to Gun Matson, who sat across from him in civilian clothes, on a Jiffy-Couch-a-Bed, mauve velour, $79.89 nothing-down special!!

Alla Sizova, who seems to have made a special hit in the East, was delightful as the lady Bluebird and her partner, Yuri Soloviev, was wonderfully virile, acrobatic, and poetic all at the same time, in a tradition not unlike that of Nijinsky.

The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

Thus we hear of abbots going out to hunt, with their men carrying bows and arrows ; keeping horses, dogs and huntsmen ; and special mention is made of an abbot of Leicester, c. 1360, who was the most skilled of all the nobility in hare hunting.

The class did not survive the Revolution ; but the courtesy title of abbé, having long lost all connection in people's minds with any special ecclesiastical function, remained as a convenient general term applicable to any clergyman.

The aster was chosen for Dutch schools by the Dutch ministry of education, in a set-up with eight disk-less Asters, and one Aster with high capacity floppy drives all connected by a LAN based on the Asters high-speed serial port hardware, and special cables that permitted that any single computer on the LAN could broadcast to all other computers.

Their letters suggest that both Mozart and his father, being Austrians who resented the special place that Italian composers had in the courts of the Austrian princes, blamed the Italians in general and Salieri in particular for all of Mozart's difficulties in establishing himself in Vienna.

In 1799 all special tolls were abolished, and in 1802 the poll tax was removed.

Projects such as schools, centers for those with special needs, organic farms and medical clinics were established, all inspired by anthroposophy.

Math., 1858 ) and Ernst Abbe showed that the properties of these reproductions, i. e. the relative position and magnitude of the images, are not special properties of optical systems, but necessary consequences of the supposition ( in Abbe ) of the reproduction of all points of a space in image points ( Maxwell assumes a less general hypothesis ), and are independent of the manner in which the reproduction is effected.

The film won all of its nine Oscar nominations, a record at that point in time, and a special Oscar for co-star Maurice Chevalier.

The characters also sold chainsaws, underwear, ties, detergent, candy, soft drinks — including a licensed version of Capp's moonshine creation, Kickapoo Joy Juice — and General Electric and Procter & Gamble products, all requiring special artwork.

This rule obtains in most Eastern dialects, although some have " ya ", or a special " open e " sound, in all positions.

Instead, from 1 January 1923, almost all the remaining companies were grouped into the " big four ", the Great Western Railway, the London and North Eastern Railway, the London, Midland and Scottish Railway and the Southern Railway companies ( there were also a number of other joint railways such as the Midland and Great Northern Joint Railway and the Cheshire Lines Committee as well as special joint railways such as the Forth Bridge Railway, Ryde Pier Railway and at one time the East London Railway ).

: Of, pertaining to, or characterized by ( an experience of ) new birth in Christ or spiritual renewal ; of a Christian: placing special emphasis on this experience as a basis for all one's actions, evangelical.

However, the Academy decided to withdraw his name from all the competitive categories and instead give him a special award.