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Any two-sided ideal of a ring R is an R-R-bimodule, with the ring multiplication both as the left and as the right multiplication. Any module over a commutative ring R has the natural structure of a bimodule. For example, if M is a left module, we can define multiplication on the right to be the same as multiplication on the left.
7th Sea and Legend of the Five Rings use only 10-sided dice, so it omits the number of sides, using notation of the form , meaning "roll eight ten-sided dice, keep the highest six, and sum them."Although using a roll and keep system, Cortex Plus games all use roll all the dice of different sizes and keep two (normally the two best), although a ...
If e is an idempotent element (e 2 = e) of an associative algebra A, the two-sided Peirce decomposition of A given the single idempotent e is the direct sum of eAe, eA(1 − e), (1 − e)Ae, and (1 − e)A(1 − e). There are also corresponding left and right Peirce decompositions.
Other formats include a written worksheet round, where teams work together for 2–5 minutes to agree on their written answers. [20] [21] [22] Match length is determined by either a game clock or the number of questions in a packet. [3] [17] In most formats, a game ends once the moderator has finished reading every question in a packet, usually ...
For example, rounding x = 2.1784 dollars to whole cents (i.e., to a multiple of 0.01) entails computing 2.1784 / 0.01 = 217.84, then rounding that to 218, and finally computing 218 × 0.01 = 2.18. When rounding to a predetermined number of significant digits, the increment m depends on the magnitude of the number to be rounded (or of the ...
For example, to round 1.25 to 2 significant figures: Round half away from zero rounds up to 1.3. This is the default rounding method implied in many disciplines [citation needed] if the required rounding method is not specified. Round half to even, which rounds to the nearest even number. With this method, 1.25 is rounded down to 1.2.
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