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.

S is reflexive, irreflexive, symmetric, antisymmetric, asymmetric, transitive, total, trichotomous, a partial order, total order, strict weak order, total preorder ( weak order ), an equivalence relation, or a relation with any other special properties, if and only if R is.

On the other hand, we can show that the symmetric and antisymmetric states are in a sense special, by examining a particular symmetry of the multiple-particle states known as exchange symmetry.

We consider a special case of this theorem for a binary symmetric channel with an error probability p.

In the special case that A is a symmetric positive-definite matrix with real entries, L has real entries as well.

A single point may still be chosen in some special cases, such as if the gravitational field is parallel or spherically symmetric.

Therefore, a special linear matrix can be written as the product of a special unitary matrix ( or special orthogonal matrix in the real case ) and a positive definite hermitian matrix ( or symmetric matrix in the real case ) having determinant 1.

* In the special case that H = S < sub > n </ sub > is the symmetric group of degree n it is common in the literature to assume that Ω =

The example below illustrates the special case when an ( unbounded ) symmetric operator does have a set of eigenvectors which constitute a Hilbert space basis.

A real and symmetric matrix is simply a special case of a Hermitian matrix.

* Comment: the Cholesky decomposition is a special case of the symmetric LU decomposition, with.

reflexive and symmetric, but only in special cases is it transitive.

A spherical top molecule can be considered as a special case of symmetric tops with equal moment of inertia about all three axes ().

Gram was the first mathematician to provide a systematic theory of the development of skew frequency curves, showing that the normal symmetric Gaussian error curve was but one special case of a more general class of frequency curves.

The special case where σ is the trivial representation of H was first used extensively by Hua in his work on the Szegő kernels of bounded symmetric domains in several complex variables, where the Shilov boundary has the form G / H.

A very common special case is the symmetric Dirichlet distribution, where all of the elements making up the parameter vector have the same value.

solved for the first time by Kronig and Rabi ( for the special case of the symmetric rotor ).

2n-fold rotoreflection ( angle of 180 °/ n ) with symmetry group S2n of order 2n ( not to be confused with symmetric groups, for which the same notation is used ; abstract group C2n ); a special case is n = 1, inversion, because it does not depend on the axis and the plane, it is characterized by just the point of inversion.

It contains subroutines for calculating the eigenvalues of nine classes of matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matrices.

In two dimensions, if we define A as the Abel transform operator, F as the Fourier transform operator and H as the zeroth order Hankel transform operator, then the special case of the projection-slice theorem for circularly symmetric functions states that:

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.

What is typical for his entire career, however, is a concern for design as a Gesamtkunstwerk, a total work of art ; whereby he-together with his first wife Aino Aalto-would design not just the building, but give special treatments to the interior surfaces and design furniture, lamps, and furnishings and glassware.

They also have design, fabrication, artistic, and other special skills necessary for the practical application of that knowledge.

In RF linear Power Amplifiers, such as cellular base stations and broadcast transmitters, special design techniques can be used to improve efficiency.

As a way to earn a bit of money in the 1890s, Beatrix and her brother began to print Christmas cards of their own design, as well as cards for special occasions.

Computer software has special economic characteristics that make its design, creation, and distribution different from most other economic goods.

The college boasts 39 academic departments offering 56 major programs, while students are free to design special majors or engage in dual majors.

Educational psychology in turn informs a wide range of specialities within educational studies, including instructional design, educational technology, curriculum development, organizational learning, special education and classroom management.

Educational psychology in turn informs a wide range of specialities within educational studies, including instructional design, educational technology, curriculum development, organizational learning, special education and classroom management.

However, critics view irreducible complexity as a special case of the " complexity indicates design " claim, and thus see it as an argument from ignorance and God of the gaps argument.

* Grand Cross special design of the Order of Merit of the Federal Republic of Germany

Some earlier optical keyboards were limited in their structure and required special casing to block external light, no multi-key functionality was supported and the design was very limited to a thick rectangular case.

The Agera's design follows a clear lineage from the previous Koenigsegg supercars, but adds many special new features, such as a wider front track, new styling and aero features, and a new interior ; including a new lighting technique they call " Ghost Light ," which consists of microscopic carbon nanotubes to hide the interior lighting until it's turned on, which then shines through what appeared to be solid aluminium.

The first British experimental design ( the destroyer HMS Velox ) had been constructed in 1901 and as a result Tirpitz had set up a special commission to develop turbines.

The Konix Multisystem's design was later released independently by a Chinese company called MSC ( MultiSystem China ) as the MSC Super MS-200E Multi-System, although this was simply an inexpensive PC games controller, without any special internal hardware.

Civil engineering design parameters are used in the design of the waste dumps, and special conditions apply to high-rainfall areas i. e. Brazil or Venezuela or where the dumps are created in seismic active areas like for instance Chile, Peru, and parts of Canada.

These are labs designed to meet the needs of specific academic programs that have special equipment and software needs ( e. g., graphic design, computer science, GIS, CAD among others ).

There may or may not be any special attributes associated with the nets in a design, depending on the particular language the netlist is written in, and that language's features.

A special grade of the medal, known as the Presidential Medal of Freedom with Distinction, has a larger execution of the same medal design worn as a star on the left chest along with a sash over the right shoulder, with its rosette ( blue with white edge, bearing the central disc of the medal at its center ) resting on the left hip.

Architecture documentation is a special breed of design document.

Some skis are also manufactured with special materials or a different side cut design under and close to the foot to facilitate rail sliding.

Some bonus rounds are a special session of free spins ( the number of which is often based on the winning combination that triggers the bonus ), often with a different or modified set of winning combinations as the main game, and often with winning credit values increased by a specific multiplier, which is prominently displayed as part of the bonus graphics and / or animation ( which in many cases is of a slightly different design or color scheme from the main game ).