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He took division rings and modified their multiplication, while leaving addition as it was, and thus produced the first known examples of near-fields that were not division rings. The near-fields produced by this method are known as Dickson near-fields; the near-field of order 9 given above is a Dickson near-field.
Formally: it identifies planar reflections with the grade-1 elements of a Clifford Algebra, that is, elements that are written with a single subscript such as "". With some rare exceptions described below, the algebra is almost always Cl 3,0,1 ( R ) , meaning it has three basis grade-1 elements whose square is 1 {\displaystyle 1} and a single ...
An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.
However, a vegan diet does require supplementation of vitamin B 12, [357] and vitamin B 12 deficiency occurs in up to 80% of vegans that do not supplement their diet. [360] Consuming no animal products increases the risk of deficiencies of vitamins B 12 and D , calcium , iron , omega-3 fatty acids , [ 361 ] and sometimes iodine . [ 362 ]
The competition consists of 15 questions of increasing difficulty, where each answer is an integer between 0 and 999 inclusive. Thus the competition effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated grading; answers are entered onto an OMR sheet, similar to the way grid-in math questions are answered on the SAT.
All cheese undergoes some degree of processing, but American cheese especially so. Experts explain whether or not American cheese is considered real cheese.
Shop staff were robbed at knifepoint during a "terrifying incident" that resulted in £80 being stolen, police have said. A man in his 20s has been arrested on suspicion of robbery in connection ...
The CK-12 Foundation is a California-based non-profit organization which aims to increase access to low-cost K-12 education in the United States and abroad. [2] CK-12 provides free and customizable K-12 open educational resources aligned to state curriculum standards. As of 2022, the foundation's tools were used by over 200,000,000 students ...
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