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Extra resources for An Invitation to the Algebra of Canonical Commutation Relations

Sample text

It also is used to indicate a positive number. ✓ – means subtract or minus or decreased by or less than; the result is the difference. It’s also used to indicate a negative number. ✓ × means multiply or times. The values being multiplied together are the multipliers or factors; the result is the product. Some other symbols meaning multiply can be grouping symbols: ( ), [ ], { }, ·, *. In algebra, the × symbol is used infrequently because it can be confused with the variable x. The dot is popular because it’s easy to write.

Consider the stock market (something that gets considered a lot these days). The news reporter declares that the Dow Jones went down 20 points twice in a row. You multiply two times –20 to get –40. So a positive times a negative is a negative. How about dividing? You and three friends decide to buy another friend lunch. 64. How much does each person chip in? 91 is what each of you contributes. When multiplying and dividing two signed numbers, if the two signs are the same, then the result is positive; when the two signs are different, then the result is negative.

It’s also used to indicate a negative number. ✓ × means multiply or times. The values being multiplied together are the multipliers or factors; the result is the product. Some other symbols meaning multiply can be grouping symbols: ( ), [ ], { }, ·, *. In algebra, the × symbol is used infrequently because it can be confused with the variable x. The dot is popular because it’s easy to write. The grouping symbols are used when you need to contain many terms or a messy expression. By themselves, the grouping symbols don’t mean to multiply, but if you put a value in front of a grouping symbol, it means to multiply.

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