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.

For large and elaborate arrangements, special blockages ( also known as firebreaks ) are employed at regular distances to prevent a premature toppling from undoing more than a section of the dominoes while still being able to be removed without damage.

While Maxwell's equations are consistent within special and general relativity, there are some quantum mechanical situations in which Maxwell's equations are significantly inaccurate: including extremely strong fields ( see Euler – Heisenberg Lagrangian ) and extremely short distances ( see vacuum polarization ).

Given the short distances of super special stages compared to the regular special stages and consequent near-identical times for the frontrunning cars, it is very rare for these spectator-oriented stages to decide rally results, though it is a well-known axiom that a team can't win the rally at the super special, but they can certainly lose it.

Comoving and proper distances are not the same concept of distance as the concept of distance in special relativity.

In mathematics, a Voronoi diagram is a special kind of decomposition of a metric space, determined by distances to a specified family of objects ( subsets ) in the space.

In principle, it seems difficult to incorporate an invariant length magnitude in a theory which preserves Lorentz invariance due to Lorentz-FitzGerald contraction, but in the same way that special relativity incorporates an invariant velocity by modifying the high-velocity behavior of Galilean transformations, DSR modifies Lorentz transformations at small distances ( large energies ) in such a way to admit a length invariant scale without destroying the principle of relativity.

" Vertical migration ", for example, the phenomenon of plankton and fishes regularly changing their depth throughout the 24h day, is a special usage unlike migrations of ( e. g. ) salmons that range over distances in migrations that may cover river, lake, and sea, or the great migrations of game through Africa's Serengeti.

* Patricia Shaw distances herself from the rest of the Bohm-school of dialogue, stating "... I am not trying to foster a special form or discipline of conversation ... Rather than inculcating a special discipline of dialogue, I am encouraging perceptions of ensemble improvisation as an organizing craft of communicative action " ( Patricia Shaw 2002, p. 164 ).

IEDs have been deployed in the form of explosively formed penetrators, a special type of shaped charge that is effective at long standoffs from the target ( 50 meters or more ), however they are not accurate at long distances.

Along the way, the player collects power-ups that enhance Samus ' armor and weaponry, as well as grant her special abilities such as the Space Jump, which allows her to jump infinite times to cover great distances.

LZMA uses a dictionary compression algorithm ( a variant of LZ77 with huge dictionary sizes and special support for repeatedly used match distances ), whose output is then encoded with a range encoder, using a complex model to make a probability prediction of each bit.

Among sub-diffraction limited techniques, structured illumination holds the distinction of being one of the only methods that can work with simple reflectance without the need for special dyes or fluorescence and at very long working distances.

Although this formula is accurate for most distances on a sphere, it too suffers from rounding errors for the special ( and somewhat unusual ) case of antipodal points ( on opposite ends of the sphere ).

A more complicated formula that is accurate for all distances is the following special case ( a sphere, which is an ellipsoid with equal major and minor axes ) of the Vincenty formula ( which more generally is a method to compute distances on ellipsoids ):

Due to the strain of living in a different country without parental support, international students often feel anxious and feel more pressure while adjusting to new cultures — even more so when the cultural distances are wide, as patterns of logic and speech are different and a special emphasis is put on rhetoric.

T-duality is a symmetry of quantum field theories with differing classical descriptions, of which the relationship between small and large distances in various string theories is a special case.

If travelling medium distances, ( about 30 – 100 km ), a special dragline carrier can be brought in to transport the dragline.

The Owl has ingested a special serum which enabled him to naturally glide for short distances, though he has to leap from a height of at least off of the ground to do so.

Their fluorescent nipples were drawn with a special rendering mode usually reserved for fog-piercing runway landing lights, so they could easily be seen from long distances in bad weather.

However, all members of the community understand it, and may sign in situations where speech is undesirable, such as while hunting, in private communication, across distances, while ill, or for subjects that require a special reverence or respect.