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In arithmetic, and therefore algebra, division by zero is undefined. [7] Use of a division by zero in an arithmetical calculation or proof, can produce absurd or meaningless results. Assuming that division by zero exists, can produce inconsistent logical results, such as the following fallacious "proof" that one is equal to two [ 8 ] :
This is an accepted version of this page This is the latest accepted revision, reviewed on 9 January 2025. Look up undefined in Wiktionary, the free dictionary. Undefined may refer to: Mathematics Undefined (mathematics), with several related meanings Indeterminate form, in calculus Computing Undefined behavior, computer code whose behavior is not specified under certain conditions Undefined ...
Some authors of abstract algebra textbooks define an indeterminate over a ring R as an element of a larger ring that is transcendental over R. [ 3 ] [ 4 ] [ 5 ] This uncommon definition implies that every transcendental number and every nonconstant polynomial must be considered as indeterminates.
2. In geometry and linear algebra, denotes the cross product. 3. In set theory and category theory, denotes the Cartesian product and the direct product. See also × in § Set theory. · 1. Denotes multiplication and is read as times; for example, 3 ⋅ 2. 2. In geometry and linear algebra, denotes the dot product. 3.
WASHINGTON (Reuters) -U.S. officials are communicating with people in Syria to seek information about Austin Tice, an American journalist captured there more than 12 years ago, White House ...
Related: Utah Mom Fled Ethnic Cleansing in Myanmar with Young Family.Then Husband Killed Them in Murder-Suicide. The husband and wife had recently decided to separate at the time of the alleged ...
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
3 Things Retirees Should Sell To Build Their Retirement Savings This article originally appeared on GOBankingRates.com : Second Trump Term Could Increase Cost of Clothing, Appliances (and One ...
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