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Page "Banach space" ¶ 18
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Corollary and Let
* Corollary Let X be a reflexive normed space.

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 .
Corollary.
Corollary.
* 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.
Corollary 1: The property of being God-like is consistent.
The Roosevelt Corollary ceased being part of U. S. foreign policy.
* Construction Corollary: A person anticipates events by construing their replications.
* Individuality Corollary: People differ from one another in their construction of events.
* 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.
* Range Corollary: A construct is convenient for the anticipation of a finite range of events only.
* 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.
" The Roosevelt Corollary.
:: Corollary: There is no universal solvable word problem group.
* 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 some repeatable process, and i be some point in time after the start of that process.
* Theorem Let X be a normed space.
Let X and Y be two K-vector spaces.
Let V, W and X be three vector spaces over the same base field F. A bilinear map is a function
* Let X be a simply ordered set endowed with the order topology.
Let X denote a Cauchy distributed random variable.
Let X be a nonempty set, and let.
: Theorem on projections: Let the function f: X → B be such that a ~ b → f ( a )
Let X be a finite set with n elements.
" 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 > be the measured weight of the ith object, for i
Let X be a topological space, and let x < sub > 0 </ sub > be a point of X.
Let be the conditional probability distribution function of Y given X.
Let ƒ be a function whose domain is the set X, and whose range is the set Y.
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 >: XX < sub > m </ sub > is an isomorphism.
Let there be a finite sequence of positive integers X
Let X be a measurable space, let μ be a measure on X, and let N be a measurable set in X.

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