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Corollary and If
Corollary If two normal operators M and N are similar, then they are unitarily equivalent.
Corollary If M and N are normal operators, and MN =

Corollary and X
* Corollary Supppose that X < sub > 1 </ sub >, ..., X < sub > n </ sub > are normed spaces and that X = X < sub > 1 </ sub > ⊕ ... ⊕ X < sub > n </ sub >.
* Corollary Let X be a reflexive normed space and Y a Banach space.
* Corollary Let X be a reflexive normed space.

Corollary and is
One variant ( known as O ' Toole's Corollary of Finagle's Law ) favored among hackers is a takeoff on the second law of thermodynamics ( also known as entropy ):
Corollary 1: The property of being God-like is consistent.
Peter's Corollary states that " n time, every post tends to be occupied by an employee who is incompetent to carry out its duties " and adds that " work is accomplished by those employees who have not yet reached their level of incompetence.
* Dichotomy Corollary: A person's construction system is composed of a finite number of dichotomous constructs.
* Range Corollary: A construct is convenient for the anticipation of a finite range of events only.
* Modulation Corollary: The variation in a person's construction system is limited by the permeability of the constructs within whose ranges of conveniences the variants lie.
* Commonality Corollary: To the extent that one person employs a construction of experience which is similar to that employed by another, the psychological processes of the two individuals are similar to each other.
:: Corollary: There is no universal solvable word problem group.
Carter's successor, President Ronald Reagan, extended the policy in October 1981 with what is sometimes called the " Reagan Corollary to the Carter Doctrine ", which proclaimed that the United States would intervene to protect Saudi Arabia, whose security was threatened after the outbreak of the Iran – Iraq War.
Corollary ( Pointwise Ergodic Theorem ): In particular, if T is also ergodic, then is the trivial σ-algebra, and thus with probability 1:
The Roosevelt Corollary is a corollary to the Monroe Doctrine that was articulated by President Theodore Roosevelt in his State of the Union Address in 1904.
Corollary: For any, the set of connected components of the fiber is in bijection with the set of points in the fiber.
The Corollary stated above is deduced as follows.
Corollary 1 then points out that the centripetal force is proportional to V < sup > 2 </ sup >/ R, where V is the orbital speed and R the circular radius.
Corollary 2 shows that, putting this in another way, the centripetal force is proportional to ( 1 / P < sup > 2 </ sup >) * R where P is the orbital period.
Corollary 3 shows that if P < sup > 2 </ sup > is proportional to R, then the centripetal force would be independent of R.

Corollary and then
Corollary 4 shows that if P < sup > 2 </ sup > is proportional to R < sup > 2 </ sup >, then the centripetal force would be proportional to 1 / R.
Corollary 5 shows that if P < sup > 2 </ sup > is proportional to R < sup > 3 </ sup >, then the centripetal force would be proportional to 1 /( R < sup > 2 </ sup >).
A scholium then points out that the Corollary 5 relation ( square of orbital period proportional to cube of orbital size ) is observed to apply to the planets in their orbits around the Sun, and to the Galilean satellites orbiting Jupiter.

Corollary and if
In order to preclude European intervention, the Roosevelt Corollary asserted a right of the United States to intervene in order to " stabilize " the economic affairs of small states in the Caribbean and Central America if they were unable to pay their international debts.
The episode contributed to the development of the Roosevelt Corollary to the United States ' Monroe Doctrine, asserting a right of the United States to intervene to " stabilize " the economic affairs of small states in the Caribbean and Central America if they were unable to pay their international debts, in order to preclude European intervention to do so.

Corollary and only
) Newton estimated the mass ratios Sun: Jupiter and Sun: Saturn ( Proposition 8, Corollary 2 ), and pointed out that these put the centre of the Sun usually a little way off the common center of gravity, but only a little, the distance at most " would scarcely amount to one diameter of the Sun " ( Proposition 12 ).
Critics, such as Noam Chomsky, have argued that the Roosevelt Corollary was merely a more explicit imperialist threat, building on the Monroe Doctrine, and indicating that the U. S. would intervene not only in defense of South American states in the face of European imperialism, but would also use its muscle to obtain concessions and privileges for American corporations.
This separated the Roosevelt Corollary from the Monroe Doctrine by noting that the Monroe Doctrine only applied to situations involving European countries.

Corollary and which
* Choice Corollary: People choose for themselves the particular alternative in a dichotomized construct through which they anticipate the greater possibility for extension and definition of their system.
* Fragmentation Corollary: A person may successively employ a variety of construction subsystems which are inferentially incompatible with each other.
He appeared in " The Creepy Candy Coating Corollary " ( 2009 ), the fifth episode of the third season of the situation comedy The Big Bang Theory, playing a fictionalized version of himself, as the focus of Sheldon Cooper's ire for not having attended a Star Trek convention at which his appearance was scheduled.
He blamed these interventions on the Roosevelt Corollary to the Monroe Doctrine of 1905 which had turned the United States into an arrogant " policeman of the western continent.
Serge Ricard of the University of Paris goes even further, stating that the Roosevelt Corollary was not merely an addendum to the earlier Monroe Doctrine, through which the U. S. pledged to protect the Americas from European imperialist interventions.
Rather, the Roosevelt Corollary was " an entirely new diplomatic tenet which epitomized his ' big stick ' approach to foreign policy ".
The United States maintained a hemispheric defense policy relative to European influence under the Monroe Doctrine since 1823, which became increasingly interventionist with the Roosevelt Corollary in 1904.

Corollary and case
Corollary to research, education campaigns are absolutely critical to prevent captive tortoises from coming in contact with wild populations, as outlined in the case study by Johnson et al.

Corollary and its
Interventionism found its formal articulation in the 1904 Roosevelt Corollary to the Monroe Doctrine, proclaiming the right of the United States to intervene in the affairs of weak states in the Americas in order to stabilize them, a moment that underlined the emergent U. S. regional hegemony.
Although U. S. capital investments within the Philippines and Puerto Rico were relatively small ( figures that would seemingly detract from the broader economic implications on first glance ), " imperialism " for the United States, formalized in 1904 by the Roosevelt Corollary to the Monroe Doctrine, would also spur its displacement of Britain as the predominant investor in Latin America — a process largely completed by the end of the Great War.
" Christopher Coyne and Stephen Davies, in their article " Nineteen Public Bads of Empire, Nation Building, and the Like ", argue that a foreign policy modeled on the Roosevelt Corollary leads to negative consequences both in national security terms and in terms of its effect on domestic politics.
The doctrine was conceived by its authors, especially John Quincy Adams, as a proclamation by the States of moral opposition to colonialism, but has subsequently been re-interpreted in a wide variety of ways, including by President Theodore Roosevelt as a license for the U. S. to practice its own form of colonialism ( known as the Roosevelt Corollary to the Monroe Doctrine.
Interventionism found its formal articulation in the 1904 Roosevelt Corollary to the Monroe Doctrine, proclaiming a right for the United States to intervene to stabilize weak states in the Americas, a moment that underlined the emergent U. S. regional hegemony.

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