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special and case
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.

special and unary
* Rice coding, which is used in the FLAC audio codec and which has unary coding as a special case
* Golomb coding, which has Rice coding and unary coding as special cases.

special and negation
Similar to some dialectal English, Bavarian employs both single and double negation, with the latter denoting special emphasis.

special and occurs
Moore goes on to explain that he pays special attention to the fallacy as it occurs in ethics, and identifies that specific form of the fallacy as ' naturalistic ', because ( 1 ) it is so commonly committed in ethics, and ( 2 ) because committing the fallacy in ethics involves confusing a natural object ( such as survival or pleasure ) with goodness, something that is ( he argues ) not a natural object.
If too many of these neutrons are absorbed by other uranium-235 nuclei, a nuclear chain reaction occurs that results in a burst of heat or ( in special circumstances ) an explosion.
In objective theories, collapse occurs randomly (" spontaneous localization "), or when some physical threshold is reached, with observers having no special role.
Sequential locality, a special case of spatial locality, occurs when data elements are arranged and accessed linearly, e. g., traversing the elements in a one-dimensional array.
Sequential locality, a special case of spatial locality, occurs when relevant data elements are arranged and accessed linearly.
A special case of a particle trajectory on a circular cylinder occurs when there is no movement along the Z axis, in which case
The ultimate attribution error occurs when ingroup members “( 1 ) attribute negative outgroup behavior to dispositional causes ( more than they would for identical ingroup behavior ), and ( 2 ) attribute positive outgroup behavior to one or more of the following causes: ( a ) a fluke or exceptional case, ( b ) luck or special advantage, ( c ) high motivation and effort, and ( d ) situational factors ”.
A special case of Generalized least squares called weighted least squares occurs when all the off-diagonal entries of Ω ( the correlation matrix of the residuals ) are 0.
Moreover, the idea of protection of special places is universal: for example, it occurs among the communities in the Pacific (“ tapu ” areas ) and in parts of Africa ( sacred groves ).
FOHR hosts a special tour of Happy Retreat along with other Washington Family Homes during the annual Charles Town Heritage Festival which occurs the third Saturday of September.
The bug is considered to be minor and occurs under such special circumstances that very few, if any, software programs are affected.
Another example of this situation occurs with a special form of liver transplant in which the recipient suffers from familial amyloidotic polyneuropathy, a disease where the liver slowly produces a protein that damages other organs.
A special case of this contour integral occurs when is the unit circle ( and can be used when the ROC includes the unit circle which is always guaranteed when is stable, i. e. all the poles are within the unit circle ).
Audio feedback or acoustic feedback, often referred to simply as " feedback ", ( also known as the Larsen effect after the Danish scientist, Søren Absalon Larsen, who first discovered its principles ) is a special kind of positive feedback which occurs when a sound loop exists between an audio input ( for example, a microphone or guitar pickup ) and an audio output ( for example, a loudspeaker ).
In mathematics, the error function ( also called the Gauss error function ) is a special function ( non-elementary ) of sigmoid shape which occurs in probability, statistics and partial differential equations.
In many languages, the final form is a special character used to represent a letter only when it occurs at the end of a word.
* Statistical special pleading occurs when the interpretation of the relevant statistic is " massaged " by looking for ways to reclassify or requantify data from one portion of results, but not applying the same scrutiny to other categories.
Proofreading this kind of material presents a special challenge, first because the proofreader / editor is usually the author ; second because such authors are usually unaware of the inevitability of errors and the effort required to find them ; and third, as finding any final errors often occurs just when stress levels are highest and time shortest, readers ' minds resist identifying them as errors.
There is no special provision in the employment law that provides for moral or sexual harassment ; however it is commonly accepted by the jurisprudence, that sexual harassment occurs when the employee is subjected to acts of another person in order to obtain favours of a sexual nature.
The District of Columbia issues license plates protesting the " taxation without representation " that occurs due to its District of Columbia voting rights | special status.
An important special case occurs when V is a line bundle.
The only remaining powers and duties for the City of Boston in regards to the county is ceremonial in which the Suffolk County Register of Deeds is issued the oath of office at the start of a term as well as calls for a meeting to hold a special election to fill the office should there be a failure to elect someone to the office or a vacancy occurs.
Sacred Harp singing normally occurs not in church services, but in special gatherings or " singings " arranged for the purpose.
The difference is only in the nature of the interaction by which the transfer of resources occurs ( tricking a host into handing over food rather than stealing it by force or stealth ), which is why brood parasitism is considered a special form of kleptoparasitism.

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