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  2. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...

  3. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    Round-by-chop: The base-expansion of is truncated after the ()-th digit. This rounding rule is biased because it always moves the result toward zero. Round-to-nearest: () is set to the nearest floating-point number to . When there is a tie, the floating-point number whose last stored digit is even (also, the last digit, in binary form, is equal ...

  4. Floating-point error mitigation - Wikipedia

    en.wikipedia.org/wiki/Floating-point_error...

    Variable length arithmetic represents numbers as a string of digits of a variable's length limited only by the memory available. Variable-length arithmetic operations are considerably slower than fixed-length format floating-point instructions.

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    While the opening round of the 2024 NFL playoffs didn’t provide many nail-biting finishes, it did set up some must-see divisional round clashes. The two No. 1 seeds return from their well-earned ...

  6. Why You Should Reconsider Never Rounding Your Back to Lift

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    So if you’re taking on a one-rep max deadlift, work to keep your spine steady. Sure, you may be able to deadlift a smidge more if you round your back, but the added 10-pound plate on each side ...

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    One game away from the Super Bowl — and all the glory that comes with it. Most importantly, they’ll forever get to tell people like me how wrong they were. Chiefs are just impossible to figure out

  8. Guard digit - Wikipedia

    en.wikipedia.org/wiki/Guard_digit

    After padding the second number (i.e., ) with two s, the bit after is the guard digit, and the bit after is the round digit. The result after rounding is 2.37 {\displaystyle 2.37} as opposed to 2.36 {\displaystyle 2.36} , without the extra bits (guard and round bits), i.e., by considering only 0.02 + 2.34 = 2.36 {\displaystyle 0.02+2.34=2.36} .

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