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2. Floating-point error mitigation - Wikipedia

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

   Huberto M. Sierra noted in his 1956 patent "Floating Decimal Point Arithmetic Control Means for Calculator": [1] Thus under some conditions, the major portion of the significant data digits may lie beyond the capacity of the registers.

3. Round-off error - Wikipedia

   en.wikipedia.org/wiki/Round-off_error

   Example: the decimal number () = (¯) can be rearranged into + ⏟ … Since the 53rd bit to the right of the binary point is a 1 and is followed by other nonzero bits, the round-to-nearest rule requires rounding up, that is, add 1 bit to the 52nd bit.

4. Decimal data type - Wikipedia

   en.wikipedia.org/wiki/Decimal_data_type

   C# has a built-in data type decimal consisting of 128 bits resulting in 28–29 significant digits. It has an approximate range of ±1.0 × 10 −28 to ±7.9228 × 10 28. [1] Starting with Python 2.4, Python's standard library includes a Decimal class in the module decimal. [2] Ruby's standard library includes a BigDecimal class in the module ...

5. Rounding - Wikipedia

   en.wikipedia.org/wiki/Rounding

   The problem was caused by the index being recalculated thousands of times daily, and always being truncated (rounded down) to 3 decimal places, in such a way that the rounding errors accumulated. Recalculating the index for the same period using rounding to the nearest thousandth rather than truncation corrected the index value from 524.811 up ...

6. Decimal floating point - Wikipedia

   en.wikipedia.org/wiki/Decimal_floating_point

   For example, while a fixed-point representation that allocates 8 decimal digits and 2 decimal places can represent the numbers 123456.78, 8765.43, 123.00, and so on, a floating-point representation with 8 decimal digits could also represent 1.2345678, 1234567.8, 0.000012345678, 12345678000000000, and so on.

7. Fixed-point arithmetic - Wikipedia

   en.wikipedia.org/wiki/Fixed-point_arithmetic

   A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...

8. 10 Hard Math Problems That Even the Smartest People in the ...

   www.aol.com/10-hard-math-problems-even-150000090...

   Despite the greatest strides in mathematics, these hard math problems remain unsolved. Take a crack at them yourself. ... For example, x²-6 is a polynomial with integer coefficients, since 1 and ...

9. Decimal representation - Wikipedia

   en.wikipedia.org/wiki/Decimal_representation

   Moreover, in the standard decimal representation of , an infinite sequence of trailing 0's appearing after the decimal point is omitted, along with the decimal point itself if is an integer. Certain procedures for constructing the decimal expansion of x {\displaystyle x} will avoid the problem of trailing 9's.