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

Round or cylindrical patterns are simple to produce with a regular crochet hook, but cylindrical knitting requires either a set of circular needles or three to five special double-ended needles.

In the special case of a planet in circular orbit around its star, for example, where is zero, the centripetal acceleration alone is the entire acceleration of the planet, curving its path toward the sun under the force of gravity, the negative F ( r ).

The language was spoken and sung verse, the performance area included a circular floor or orchestra where the chorus could dance, a space for actors ( three speaking actors in Euripides's time ), a backdrop or skene and some special effects: an ekkyklema ( used to bring the skene's ' indoors ' outdoors ) and a mechane ( used to lift actors in the air, as in deus ex machina ).

The jimadores must be able to tell when each plant is ready to be harvested, and using a special knife called a coa ( with a circular blade on a long pole ), carefully cut away the leaves from the piña ( the succulent core of the plant ).

Other forms of polarization, such as circular and linear polarization, can be considered to be special cases of elliptical polarization.

An important special case is the circular convolution of and defined by where is a periodic summation:

A special case of a particle trajectory on a circular cylinder occurs when there is no movement along the Z axis, in which case

A special arrangement involves the use of a hydraulic motor to propel the circular saw.

In celestial mechanics, this is usually a Keplerian ellipse, which is correct when there are only two gravitating bodies ( say, the Earth and the Moon ), or a circular orbit, which is only correct in special cases of two-body motion, but is often close enough for practical use.

Note the everpresent fog in the photo to the right ( the circular blotches are not a special effect, but a result of the droplets formed on the camera lens cover ).

A special case of this is the circular orbit, which is an ellipse of zero eccentricity.

; Dado blade: A special type of circular saw blade used for making wide-grooved cuts in wood so the edge of another piece of wood will fit into the groove to make a joint.

; Strob Saw Blade: A circular saw blade with special rakers / cutters to easily saw through green or uncured wood that would otherwise jam the saw blade.

* Fancy: The cards need not be laid out in a strict rectangular grid and many players have their own special layouts that include circular, triangular, or diamond-shaped formations.

The sharp crested weirs can be considered into three groups according to the geometry of weir: a ) the rectangular weir, b ) the V or triangular notch and c ) special notches, such as trapezoidal, circular or parabolic weirs.

To circumvent this problem a special war-time emergency circular arc gear standard was produced giving a series of close to cycloidal forms which could be cut with a single hob for each module for eight teeth and upwards to economize on cutter manufacturing resources.

Not only was the cottabus the ordinary accompaniment of the festal assembly, but, at least in Sicily, a special building of a circular form was sometimes erected so that the players might be easily arranged round the basin, and follow each other in rapid succession.

In Will Crowther's Colossal Cave Adventure, Ylem was defined as " Ylem ( a circular file for objects )", a special place index created to accumulate discarded objects that would remain inaccessible for the remainder of the game.

It is baked in a special circular pan with a central tube, originally made of enamelled pottery.

Sometimes called digging by quadrant this special case is a procedure for excavating circular features, usually mounds and, barrows, Deposits are excavated from four quarters of the feature, starting with two diagonally opposite quadrants and perhaps ending with the other two.

It requires a special playing technique known as " circular breathing ," which is tricky but produces a continuous tone, without pausing to take a breath.

* They were turned to size on the circular part in a special lathe.

As early as March 1917 the Italian Supreme Command had sent a circular giving information about the constitution of Austro-Hungarian special units.