The theorem which we prove is more general than what we have described, since it works with the primary decomposition of the minimal polynomial, whether or not the primes which enter are all of first degree.

The typical amateur astronomer is one who does not depend on the field of astronomy as a primary source of income or support, and does not have a professional degree or advanced academic training in the subject.

The project categorizes degree confluences as either primary or secondary.

As of August 7, 2012, the project reported that the world has 16, 345 indexed primary degree confluence points and 6, 132 of them, in 185 countries, have been visited at least once.

Many historians trace modern Ethiopian foreign policy to the reign of Emperor Tewodros II, whose primary concerns were the security of Ethiopia's traditional borders, obtaining technology from Europe ( or modernization ), and to a lesser degree Ethiopian rights to the monastery of Dar-es-Sultan in the city of Jerusalem.

The 1995-7 Rainbow Coalition ( which contained parties of the centre right and the left ) introduced free third-level education to primary degree level.

However, the primary language for gematria calculations has always been and remains Hebrew and, to a lesser degree, Aramaic.

It is not taken as a primary degree subject, and there is no general qualification.

The primary strength of TrueType was originally that it offered font developers a high degree of control over precisely how their fonts are displayed, right down to particular pixels, at various font sizes.

Taft, in fashioning his cabinet, showed also that he was not unwilling to depart to some degree from Roosevelt's progressivism ; he named an anti-progressive, Philander Chase Knox Secretary of State, who had primary influence over other appointments.

The mineralogical and chemical composition of the primary bedrock material, its physical features, including grain size and degree of consolidation, and the rate and type of weathering transform the parent material into a different mineral.

Dementia, though often treatable to some degree, is usually due to causes that are progressive and incurable as observed in primary progressive aphasia ( PPA ).

The primary purpose of couplings is to join two pieces of rotating equipment while permitting some degree of misalignment or end movement or both.

All of the produced particles stay within about one degree of the primary particle's path.

It is not certain, however, to what degree predisposing factors lead to metabolic changes and so on, or if metabolic changes or formation of ectopic endometrium is the primary cause.

The school's primary focus is undergraduate education, though there is a small graduate program for master's degree students.

The Faculty of Health offers degree programmes in nursing, midwifery and paramedic practice ; social policy, social science, social work and health promotion ; medicine and primary care ; and occupational therapy, physiotherapy and podiatry.

One of the primary propositions of parecon is that all persons should have a say in decisions proportionate to the degree to which they are affected by them.

These incentives, in addition to encouraging a degree of participation, also lured those whose primary interests were not the common good to the Ujamaa villages.

* Federations, characterized by relatively lower degree of involvement, intensity and participation, involving cooperation of long duration, but with members ’ primary commitment remaining with their own entities

In its post – Golden Age usage, there is ambiguity on both sides of the definition: on the one hand, many B movies display a high degree of craft and aesthetic ingenuity ; on the other, the primary interest of many inexpensive exploitation films is prurient.

Originating from the 19th century Harvard movement for the scientific study of law, it is a law degree that in some common law jurisdictions has a goal of being the primary professional preparation for lawyers.

was intended to end this discriminatory practice of conferring what is normally a first degree upon persons who have already their primary degree.

The primary goal of adhering to an Ital diet is to increase Livity, or the life energy that Rastas generally believe lives within all human beings, as conferred from the Almighty.

These provisions, allowing primary legislation to be amended by secondary legislation, are known as Henry VIII clauses, because an early example of such a power was conferred on King Henry VIII by the Statute of Proclamations 1539.

Delegated legislation can also be criticised on the grounds that it is subject to less parliamentary scrutiny than primary legislation ( but see the article on Statutory Instruments for a description of the parliamentary controls which are in place ), and thereby may potentially be used by the Government in ways which Parliament had not intended or appreciated when it conferred the power.

Historically, Bachelor of Medicine was also the primary medical degree conferred by institutions in the United States and Canada, such as University of Pennsylvania, Harvard, University of Toronto, University of Maryland, and Columbia.

Too many people think that the primary purpose of a higher education is to help you make a living ; ;

This is the primary function of the imagination operating in the absence of the original experiential stimulus by which the images were first appropriated.

Neither is primary experience understood according to the attitude of modern empiricism in which nothing is thought to be received other than signals of sensory qualities producing their responses in the appropriate sense organs.

The principal defender of this view of primary experience as `` causal efficacy '' is Alfred North Whitehead.

Speaking as a non-Jew I believe that its primary contribution is in the realm of future policy.

The natural and primary aesthetic attitude is to enjoy contemporary art, to despise and dislike the art of the recent past, and wholly to ignore everything else ''.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

But competent observers believe he is making progress, particularly toward what Sen. Jackson lists as the primary need -- `` a clearer understanding of where our vital national interests lie and what we must do to promote them ''.

Its primary advantage is that it is a moral choice ; ;

A primary function is the operation of a Government Bid Center, which receives bids daily from the Federal Government's principal purchasing agencies.

If the Department of State is to take primary responsibility for foreign policy in Washington, it follows that the ambassador is expected to take charge overseas.

For this reason, the more uncertain skywave service was denominated `` secondary '' in our rules, as compared to the steadier, more reliable groundwave `` primary service '', and, for both skywave service and skywave interference, signal strength is expressed in terms of percentage of time a particular signal-intensity level is exceeded -- 50 percent of the time for skywave service, 10 percent of the time for skywave interference.

As mentioned, the primary allocation objective to be followed in the allocation of stations on clear channels is the provision of widespread service, free from destructive interference.

The result is a color picture of the specimen where the primary colors correspond to the three different ultraviolet wavelengths.

A primary ingredient in these fields is imagination, and Tri-State Pipeline Corporation deserves a very good mark.

If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.

In the primary decomposition theorem, it is not necessary that the vector space V be finite dimensional, nor is it necessary for parts ( A ) and ( B ) that P be the minimal polynomial for T.

Though there is obviously great need for continued experimentation with various types of short-term intervention to further efforts in developing an operational definition of prevention at the secondary -- or perhaps, in some instances, primary -- level, the place of short-term intervention has already been documented by a number of investigators in a wide variety of settings.