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List of effects; List of forms of electricity named after scientists; List of engineering blunders; Eppendorf & Science Prize for Neurobiology; List of scientific equations named after people; List of types of equilibrium; List of members of the European Academy of Sciences and Arts; List of existing technologies predicted in science fiction ...
The above have been generalized to sums of N exponentials [15] with increasing accuracy in terms of N so that erfc x can be accurately approximated or bounded by 2Q̃(√ 2 x), where ~ = =. In particular, there is a systematic methodology to solve the numerical coefficients {( a n , b n )} N
One can prove [citation needed] that = is the largest possible number for which the stopping criterion | + | < ensures ⌊ + ⌋ = ⌊ ⌋ in the algorithm above.. In implementations which use number formats that cannot represent all rational numbers exactly (for example, floating point), a stopping constant less than 1 should be used to protect against round-off errors.
Science (from Latin scientia, meaning "knowledge") is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe. [1] [2] The branches of science, also referred to as scientific fields, scientific disciplines, or just sciences, can be arbitrarily divided into three major ...
A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...
List of years in science – events related to science or technology which occurred in the listed year (current year in the box on the right). Timeline of scientific discoveries – shows the date of publication of major scientific theories and discoveries, along with the discoverer. In many cases, the discoveries spanned several years.
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If is expressed in radians: = = These limits both follow from the continuity of sin and cos. =. [7] [8] Or, in general, =, for a not equal to 0. = =, for b not equal to 0.