Help


[permalink] [id link]
+
Page "Axiom of choice" ¶ 12
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

These and are
These are just another couple of characters to roll.
These men are not callous.
These things are important to almost all Persians and perhaps most important to the most ordinary.
These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.
These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.
These are not, however, differences in federal structure.
These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.
These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.
These are suggestive of Selma Lagerlof.
These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.
These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.
These responses are explicable in terms of characteristics inherent in the crisis.
These discoveries are of present interest chiefly to the scientific community ; ;
These are personality factors ; ;
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
These moments are historical events in the lives of individual authors with which the student of comparative literature must be frequently concerned.
These lives are in themselves outside of the moral order and are unburdened with moral responsibility.
These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.
These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.
These women whose organization grew out of the old suffrage movement are dedicated to Thomas Jefferson's dictum that one must cherish the people's spirit but `` Keep alive their attention ''.
These are, of course, the same people whose support he has only now rejected to seek the independent vote.
These are New York, Pennsylvania, Michigan, Maryland, Missouri, New Jersey, Illinois and Minnesota.
These men are spenders.

These and equivalent
These results might be weaker than, equivalent to, or stronger than the axiom of choice, depending on the strength of the technical foundations.
These negotiations were complicated by the sudden death of Lord George on 21 September 1848, but Disraeli obtained a loan of £ 25, 000 ( equivalent to about £ as of ) from Lord George's brothers Lord Henry Bentinck and Lord Titchfield.
These include various predictions of the downfall of the northern kingdom, the equivalent prediction of the downfall of Judah following the reign of Manasseh, the extension of Josiah's reforms in accordance with the laws of Deuteronomy, and the revision of the narrative from Jeremiah concerning Judah's last days.
These conventions allow some operators in both languages to serve both as predicates ( answering a boolean-valued question ) and as returning a useful value for further computation, but in Scheme the value '() which is equivalent to NIL in Common Lisp evaluates to true in a boolean expression.
These definitions are equivalent to one another, so the most convenient definition can be used to determine whether a given function is continuous or not.
These characters are collated after their non-diacritic equivalent.
These theorems are also equivalent to the unitary condition below.
These arguments are expressed in a variety of different but equivalent ways ( they give the same elliptic integral ).
These meanings often coincide within proper context, but the fallacious arguer does a semantic shift, slowly changing the context by treating, as equivalent, distinct meanings of the term.
These are equivalent because each is a scalar multiple of the other.
These people are not the Native American equivalent of the Chinese " barefoot doctors ", herbalists, nor of the emergency medical technicians who ride rescue vehicles.
These classifications are equivalent to the categorization of probability distributions.
These are equivalent to the numerals one through ten in ASL.
These objectives are not equivalent: in the first case, the crawler is just concerned with how many pages are out-dated, while in the second case, the crawler is concerned with how old the local copies of pages are.
These words and terms were used because of their familiarity, but more so because in most cases there were no equivalent terms in the vernacular which could express the Jewish concepts or describe the objects of cultural significance.
These two definitions are equivalent: the boiling point is the temperature at which the increased entropy of the gas phase overcomes the intermolecular forces.
These cases demonstrate a paradox not in the sense that they demonstrate a logical contradiction, but in the sense that they demonstrate a counter-intuitive result that is provably true: the situations " there is a guest to every room " and " no more guests can be accommodated " are not equivalent when there are infinitely many rooms ( an analogous situation is presented in Cantor's diagonal proof ).
These probability amplitudes can be represented as a complex number or equivalent vector — or, as Richard Feynman simply calls them in his book on QED, " arrows ".
These SNR increases can be traded instead for reduced bandwidth for equivalent SNR.
These are equivalent to the usual laws of probability assuming some conventions, namely that the scale of measurement is from zero to one, and the plausibility function, conventionally denoted P or Pr, is equal to w < sup > m </ sup >.
These have the capacity to store the equivalent of 18 Mark 1 coaches.
These dioxin like compounds are also included in the toxic equivalent scheme when measuring dioxin levels.
These running times are equivalent because:
These requirements also apply to imported meat products, which must be inspected under equivalent foreign standards.

0.229 seconds.