Faster access than browser!Similarities between Floating-point arithmetic and Rounding
Floating-point arithmetic and Rounding have 28 things in common (in Unionpedia): Accuracy and precision, Binary number, Birkhäuser, Computable number, Condition number, Double-precision floating-point format, Exponentiation, Extended real number line, Fixed-point arithmetic, Floor and ceiling functions, Gal's accurate tables, IEEE 754, IEEE 754 revision, Integer, Integer overflow, Interval arithmetic, Kahan summation algorithm, Logarithm, Pi, Rational number, Round-off error, Sign function, Significant figures, Square root, Truncation, Two's complement, Unit in the last place, William Kahan.
Accuracy and precision
Precision is a description of random errors, a measure of statistical variability.
Accuracy and precision and Floating-point arithmetic · Accuracy and precision and Rounding ·
Binary number
In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).
Binary number and Floating-point arithmetic · Binary number and Rounding ·
Birkhäuser
Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.
Birkhäuser and Floating-point arithmetic · Birkhäuser and Rounding ·
Computable number
In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm.
Computable number and Floating-point arithmetic · Computable number and Rounding ·
Condition number
In the field of numerical analysis, the condition number of a function with respect to an argument measures how much the output value of the function can change for a small change in the input argument.
Condition number and Floating-point arithmetic · Condition number and Rounding ·
Double-precision floating-point format
Double-precision floating-point format is a computer number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
Double-precision floating-point format and Floating-point arithmetic · Double-precision floating-point format and Rounding ·
Exponentiation
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
Exponentiation and Floating-point arithmetic · Exponentiation and Rounding ·
Extended real number line
In mathematics, the affinely extended real number system is obtained from the real number system by adding two elements: and (read as positive infinity and negative infinity respectively).
Extended real number line and Floating-point arithmetic · Extended real number line and Rounding ·
Fixed-point arithmetic
In computing, a fixed-point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point (after the decimal point '.' in English decimal notation).
Fixed-point arithmetic and Floating-point arithmetic · Fixed-point arithmetic and Rounding ·
Floor and ceiling functions
In mathematics and computer science, the floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).
Floating-point arithmetic and Floor and ceiling functions · Floor and ceiling functions and Rounding ·
Gal's accurate tables
Gal's accurate tables is a method devised by Shmuel Gal to provide accurate values of special functions using a lookup table and interpolation.
Floating-point arithmetic and Gal's accurate tables · Gal's accurate tables and Rounding ·
IEEE 754
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE).
Floating-point arithmetic and IEEE 754 · IEEE 754 and Rounding ·
IEEE 754 revision
IEEE 754-2008 (previously known as IEEE 754r) was published in August 2008 and is a significant revision to, and replaces, the IEEE 754-1985 floating point standard.
Floating-point arithmetic and IEEE 754 revision · IEEE 754 revision and Rounding ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
Floating-point arithmetic and Integer · Integer and Rounding ·
Integer overflow
In computer programming, an integer overflow occurs when an arithmetic operation attempts to create a numeric value that is outside of the range that can be represented with a given number of bits – either larger than the maximum or lower than the minimum representable value.
Floating-point arithmetic and Integer overflow · Integer overflow and Rounding ·
Interval arithmetic
Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and 1960s, as an approach to putting bounds on rounding errors and measurement errors in mathematical computation and thus developing numerical methods that yield reliable results.
Floating-point arithmetic and Interval arithmetic · Interval arithmetic and Rounding ·
Kahan summation algorithm
In numerical analysis, the Kahan summation algorithm (also known as compensated summation) significantly reduces the numerical error in the total obtained by adding a sequence of finite precision floating point numbers, compared to the obvious approach.
Floating-point arithmetic and Kahan summation algorithm · Kahan summation algorithm and Rounding ·
Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
Floating-point arithmetic and Logarithm · Logarithm and Rounding ·
Pi
The number is a mathematical constant.
Floating-point arithmetic and Pi · Pi and Rounding ·
Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
Floating-point arithmetic and Rational number · Rational number and Rounding ·
Round-off error
A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value due to rounding.
Floating-point arithmetic and Round-off error · Round-off error and Rounding ·
Sign function
In mathematics, the sign function or signum function (from signum, Latin for "sign") is an odd mathematical function that extracts the sign of a real number.
Floating-point arithmetic and Sign function · Rounding and Sign function ·
Significant figures
The significant figures (also known as the significant digits) of a number are digits that carry meaning contributing to its measurement resolution.
Floating-point arithmetic and Significant figures · Rounding and Significant figures ·
Square root
In mathematics, a square root of a number a is a number y such that; in other words, a number y whose square (the result of multiplying the number by itself, or) is a. For example, 4 and −4 are square roots of 16 because.
Floating-point arithmetic and Square root · Rounding and Square root ·
Truncation
In mathematics and computer science, truncation is limiting the number of digits right of the decimal point.
Floating-point arithmetic and Truncation · Rounding and Truncation ·
Two's complement
Two's complement is a mathematical operation on binary numbers, best known for its role in computing as a method of signed number representation.
Floating-point arithmetic and Two's complement · Rounding and Two's complement ·
Unit in the last place
In computer science and numerical analysis, unit in the last place or unit of least precision (ULP) is the spacing between floating-point numbers, i.e., the value the least significant digit represents if it is 1.
Floating-point arithmetic and Unit in the last place · Rounding and Unit in the last place ·
William Kahan
William "Velvel" Morton Kahan (born June 5, 1933) is a Canadian mathematician and computer scientist who received the Turing Award in 1989 for "his fundamental contributions to numerical analysis", was named an ACM Fellow in 1994, and inducted into the National Academy of Engineering in 2005.
Floating-point arithmetic and William Kahan · Rounding and William Kahan ·
The list above answers the following questions
- What Floating-point arithmetic and Rounding have in common
- What are the similarities between Floating-point arithmetic and Rounding
Floating-point arithmetic and Rounding Comparison
Floating-point arithmetic has 183 relations, while Rounding has 114. As they have in common 28, the Jaccard index is 9.43% = 28 / (183 + 114).
References
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