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We'll do that after you do this. as long as: That's fine as long as you agree to our conditions. as soon as: We'll get to that as soon as we finish this. by the time: He had left by the time you arrived. long before: We'll be gone long before you arrive. now that: We can get going now that they have left. once: We'll have less to worry about ...
The above argument works because the exact same reasoning could be applied if the alternative assumption, namely, that the first object is blue, were made, or, similarly, that the words 'red' and 'blue' can be freely exchanged in the wording of the proof. As a result, the use of "without loss of generality" is valid in this case.
NYR-NBD, meaning Need Your Response - Next Business Day. Meaning requires a response before the end of the next working day. OoO, meaning Out of Office. Used in corporate emails to indicate that the sender will not be at work. PFA, meaning Please Find Attached / Attachment. Used in corporate emails to indicate that a document or set of ...
However, in logic, the technical use of the word "implies" means "is a sufficient condition for." [3] That is the meaning intended by statisticians when they say causation is not certain. Indeed, p implies q has the technical meaning of the material conditional: if p then q symbolized as p → q. That is, "if circumstance p is true, then q ...
According to Florian Cajori in A History of Mathematical Notations, Johann Rahn used both the therefore and because signs to mean "therefore"; in the German edition of Teutsche Algebra (1659) the therefore sign was prevalent with the modern meaning, but in the 1668 English edition Rahn used the because sign more often to mean "therefore".
Because, a subordinating grammatical conjunction; Causality, the process of making something happen; a relationship between events; ∵, a logical symbol meaning because; Because, a British film directed by Sidney Morgan; Because, a 1990 film written and directed by Tom Tykwer; BECAUSE (Conference), a conference for bisexual and bi+ people
When referring to hypothetical future circumstance, there may be little difference in meaning between the first and second conditional (factual vs. counterfactual, realis vs. irrealis). The following two sentences have similar meaning, although the second (with the second conditional) implies less likelihood that the condition will be fulfilled:
Circular reasoning is often of the form: "A is true because B is true; B is true because A is true." Circularity can be difficult to detect if it involves a longer chain of propositions. An example of circular reasoning is: "Alkaline water is healthy because it results in health benefits, and it has health benefits because it is healthy".