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  2. 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 ...

  3. Programming languages used in most popular websites

    en.wikipedia.org/wiki/Programming_languages_used...

    Back-end (Server-side) table in most popular websites Websites C# C C++ D Elixir Erlang Go Hack Haskell Java JavaScript Perl PHP Python Ruby Scala; Google: No Yes Yes No No No Yes No No Yes Yes No No Yes No No Facebook: No No Yes Yes No Yes No Yes Yes Yes No No No Yes No No YouTube: No Yes Yes No No No Yes No No Yes No No No Yes No No Yahoo: No ...

  4. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    If x is negative, round-down is the same as round-away-from-zero, and round-up is the same as round-toward-zero. In any case, if x is an integer, y is just x . Where many calculations are done in sequence, the choice of rounding method can have a very significant effect on the result.

  5. Estimation statistics - Wikipedia

    en.wikipedia.org/wiki/Estimation_statistics

    Estimation statistics, or simply estimation, is a data analysis framework that uses a combination of effect sizes, confidence intervals, precision planning, and meta-analysis to plan experiments, analyze data and interpret results. [1]

  6. Interval arithmetic - Wikipedia

    en.wikipedia.org/wiki/Interval_arithmetic

    The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

  7. 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 ...

  8. Catastrophic cancellation - Wikipedia

    en.wikipedia.org/wiki/Catastrophic_cancellation

    In IEEE 754 binary64 arithmetic, evaluating the alternative factoring (+) gives the correct result exactly (with no rounding), but evaluating the naive expression gives the floating-point number = _, of which less than half the digits are correct and the other (underlined) digits reflect the missing terms +, lost due to rounding when ...

  9. Numerical stability - Wikipedia

    en.wikipedia.org/wiki/Numerical_stability

    On the other hand, in numerical algorithms for differential equations the concern is the growth of round-off errors and/or small fluctuations in initial data which might cause a large deviation of final answer from the exact solution. [citation needed]