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  2. Kahan summation algorithm - Wikipedia

    en.wikipedia.org/wiki/Kahan_summation_algorithm

    The exact result is 10005.85987, which rounds to 10005.9. With a plain summation, each incoming value would be aligned with sum, and many low-order digits would be lost (by truncation or rounding). The first result, after rounding, would be 10003.1. The second result would be 10005.81828 before rounding and 10005.8 after rounding. This is not ...

  3. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    There are two common rounding rules, round-by-chop and round-to-nearest. The IEEE standard uses round-to-nearest. 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.

  4. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    Rounding or rounding off means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. For example, replacing $ 23.4476 with $ 23.45, the fraction 312/937 with 1/3, or the expression √2 with 1.414. Rounding is often done to obtain a value that is easier to report and communicate than the ...

  5. Catastrophic cancellation - Wikipedia

    en.wikipedia.org/wiki/Catastrophic_cancellation

    Catastrophic cancellation may happen even if the difference is computed exactly, as in the example above—it is not a property of any particular kind of arithmetic like floating-point arithmetic; rather, it is inherent to subtraction, when the inputs are approximations themselves.

  6. Trump and Musk unleash a new kind of chaos on Washington

    www.aol.com/trump-musk-unleash-kind-chaos...

    The showdown is also a test for Democrats. The party wouldn’t want chaos to envelop Biden’s final days in office. But they have little incentive to bail out Trump.

  7. Mystery NJ drones are coming from Iranian mothership ... - AOL

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    A New Jersey congressman claimed Wednesday that the mystery drones over the Garden State are from Iran, and they’re being launched by a mothership parked off the East Coast.. Rep. Jeff Van Drew ...

  8. Khloé Kardashian Glams Up Her Flannel PJs with Sparkly ... - AOL

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    Khloé Kardashian spent her Christmas morning cheffin' it up in style.. On Dec. 25, the Good American founder, 40, shared a relatable clip of her dressed in a short-sleeve tee, flannel pajama ...

  9. Quantization (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Quantization_(signal...

    Quantization, in mathematics and digital signal processing, is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite number of elements. Rounding and truncation are typical examples of quantization processes. Quantization is involved to some degree in ...