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* Corollary Let X be a reflexive normed space and Y a Banach space.
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Corollary and Let
Corollary and X
* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.
* 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 and be
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.
The Roosevelt Corollary was supposed to be an addition to the Monroe Doctrine, however, it could be seen as a departure.
Corollary 3 shows that if P < sup > 2 </ sup > is proportional to R, then the centripetal force would be independent of R.
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 >).
Corollary and .
* 1904 – Theodore Roosevelt announced his " Corollary " to the Monroe Doctrine, stating that the United States would intervene in the Western Hemisphere should Latin American governments prove incapable or unstable.
* Organization Corollary: Each person characteristically evolves, for convenience in anticipating events, a construction system embracing ordinal relationships between constructs.
* Dichotomy Corollary: A person's construction system is composed of a finite number of dichotomous constructs.
* 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.
* Experience Corollary: A person's construction system varies as the person successively construes the replication of events.
* 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.
* Fragmentation Corollary: A person may successively employ a variety of construction subsystems which are inferentially incompatible with each other.
* 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.
* Sociality Corollary: To the extent that one person construes another's construction processes, that person may play a role in a social process involving the other person.
* December 6 – Theodore Roosevelt announced his " Corollary " to the Monroe Doctrine, stating that the United States would intervene in the Western Hemisphere should Latin American governments prove incapable or unstable.
Let and X
" Let X be the unit Cartesian square ×, and let ~ be the equivalence relation on X defined by ∀ a, b ∈ (( a, 0 ) ~ ( a, 1 ) ∧ ( 0, b ) ~ ( 1, b )).
Let ( X < sub > i </ sub >, f < sub > ij </ sub >) be an inverse system of objects and morphisms in a category C ( same definition as above ).
* Let the index set I of an inverse system ( X < sub > i </ sub >, f < sub > ij </ sub >) have a greatest element m. Then the natural projection π < sub > m </ sub >: X → X < sub > m </ sub > is an isomorphism.
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