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.

In addition to the authentication and acknowledgment procedures which precede and follow the sending of the go messages, again in special codes, each message also contains an `` internal authenticator '', another specific signal to convince the recipient that he is getting the real thing.

`` Now that Bruno Walter is virtually in retirement and my dear friend Dimitri Mitropoulos is no longer with us, I am probably the only one -- with the possible exception of Leonard Bernstein -- who has this special affinity for and champions the works of Bruckner and Mahler ''.

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.

The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.

The final section of this pamphlet is of special interest in a consideration of Steele's relations with Swift.

But there is one in particular which, it seems to me, deserves special attention.

There is a second feature of the influences of literature, good literature, on emotional life which may have some special value for our time.

The volume is a piece of passionate special pleading, written with the heat -- and often with the wisdom, it must be said -- of a Liberal damning the shortsightedness of politicians from 1782 to 1832.

The concept of labor as a special class is outmoded, and in the task confronting America as bastion of the free world, labor must learn to put the national interest first if it is itself to survive.

Gen. Taylor, the President's special military adviser, is a level-headed officer who is not likely to succumb to propaganda or pressure.

But why is it the special responsibility of the CTA to help these people??

According to the official interpretation of the Charter, a member cannot be penalized by not having the right to vote in the General Assembly for nonpayment of financial obligations to the `` special '' United Nations' budgets, and of course cannot be expelled from the Organization ( which you suggested in your editorial ), due to the fact that there is no provision in the Charter for expulsion.

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.

It is not within the scope of this report to elaborate in any great detail upon special districts in Rhode Island.

If it is decided to make a small shift which may be required from military aid or special assistance funds, in order to carry out the purposes of the Mutual Security Act through this new peaceful program, this will be a hopeful sign to the world.

Our plan is to keep abreast of these advances, and select for development those fields which seem most promising for our special capabilities.

A salad with greens and tomato is a popular and wonderfully healthful addition to a meal, but add an avocado and you have something really special.

The registration card of a person leaving his home territory for a short period is put into a special file for absent persons.

The membership in P of the satisfiability of 2CNF, Horn, and XOR-SAT formulae are special cases of this theorem.

** A running gun battle between FBI agents and bank robber Baby Face Nelson results in the death of one FBI agent and the mortal wounding of special agent Samuel P. Cowley, who was still able to mortally wound Nelson.

A short story by Ari Marmell, " Before I Wake ," based on the realms of Darkon, Lamordia and Bluetspur was released on October 31, 2007 on the Wizards of the Coast website as a special for Halloween and featured characters inspired by H. P.

An amazing reception was had at Tampere's Ground Zero, and then it was off to a special performance for the Electronic Music Lover's Society in Lund, Sweden with members of bands such as S. P. O. C. K.

A periodic function is the special case k = 0, and an antiperiodic function is the special case k = π / P.

That is, if Q is special orthogonal then one can always find an orthogonal matrix P, a ( rotational ) change of basis, that brings Q into block diagonal form:

* 330th Aircraft Sustainment WingThe wing provides weapon system logistics support, oversees unscheduled and programmed depot maintenance, and manages modification efforts for the Air Force ’ s fleet of C-5, C-130, C-17, F-15, U-2, and E-8C Joint STARS aircraft, Global Hawk, Distributed Common Ground System ( DCGS ), MC-130, HC-130 and various special operations combat search and rescue aircraft and helicopters to include AC-130H / U, MC-130E / H / P, EC-130J, MH-53J / M, HH-60G, UH-1N, TH-1H, and HC-130P / N.

A special meeting of the board of supervisors was held in January, 1905, for the purpose of giving a contract for a new courthouse to be built for the sum of $ 43, 516 to P. H.

Five months later, Walt Disney Feature Animation released a special DVD The Cat That Looked at a King, with Sarah's voice in the role of the Queen ; the story is derived from the Mary Poppins books by P. L. Travers.

There are also three private special education schools-The Allegro School, The Calais School and P. G.

Custom motor builders continue to operate on the periphery of the market today, often creating propellants that produce colored flame ( red, blue, and green being common ), black smoke and sparking combinations, as well as occasionally building enormous motors of P, Q, and even R class for special projects such as extreme-altitude attempts over 17, 000 m ( 50, 000 ft ).

The location of the chosen point P relative to the chosen triangle ABC gives rise to some special cases:

The story is owned by The Rudolph Company, L. P. and has been adapted in numerous forms including a popular song, a television special and sequels, and a feature film and sequel.

The special cities of Seoul and P ' yŏngyang were formed in 1946.

The normal vector space or normal space of a manifold at a point P is the set of the vectors which are orthogonal to the tangent space at P. In the case of differential curves, the curvature vector is a normal vector of special interest.

In the early months of the American Civil War, Cooke collaborated with the secretary of the treasury Salmon P. Chase in securing loans from the leading bankers in the Northern cities ; his own firm was so successful in distributing treasury notes that Chase engaged him as special agent for the sale of the $ 500, 000, 000 of so-called " five-twenty " bonds — which were callable in 5 years and matured in 20 years — authorized by Congress on February 25, 1862.

He received additional education under the tutelage of James P. Forrester, then headmaster of the school connected with the Collegiate ( Dutch ) Church in New York, and was afforded greater educational opportunities under Barron & Brown, in a special course on surveying and navigation.

The functions P < sub > i </ sub > are the Legendre polynomials, and they are a special case of spherical harmonics.

Lévi-Strauss also critiqued the findings of A. P. Elkin, a specialist on Australia, where totemism had already played a special role in the formation of anthropological and sociological theories and where it exhibits an abundance of forms.

As James P. Womack and Daniel Jones pointed out in " Lean Thinking ", what Ford accomplished represented the " special case " rather than a robust lean solution.

This series of special printings soon became known as “ Farley ’ s Follies .” As the decade progressed, the purples used for 3 ¢ issues, although still ostensibly conforming to the U. P. U. code, displayed an increasingly wide variety of hues, and one 1940 issue, a 3 ¢ stamp commemorating the Pony Express, dispensed with purple entirely, appearing in a rust brown earth tone more suitable to the image of a horse and rider departing from a western rural post office.

The second architectural category makes special use of traditional tiled roof designs and includes the People's Culture Palace and the Grand People's Study House, both in P ' yongyang, and the International Friendship Exhibition Hall at Myohyang-san.