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((x),(y) = {239, 13 2} is a solution to the Pell equation x 2 − 2 y 2 = −1.) Formulae of this kind are known as Machin-like formulae . Machin's particular formula was used well into the computer era for calculating record numbers of digits of π , [ 39 ] but more recently other similar formulae have been used as well.
Cyclic number. A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the six-digit number 142857, whose first six integer multiples are. 142857 × 1 = 142857. 142857 × 2 = 285714. 142857 × 3 = 428571. 142857 × 4 = 571428. 142857 × 5 = 714285.
When spread over 20 or more copies, the cost per copy (2 to 4 cents) is close to photocopiers. But for every additional copy, the average cost decreases. At 100 prints, the master cost per copy was only 0.4–0.8 cents per copy, and the cost of the paper printed upon will start to dominate.
As of July 2024, π has been calculated to 202 trillion decimal digits. The last 100 decimal digits of the latest world record computation are: [1] Graph showing how the record precision of numerical approximations to pi measured in decimal places (depicted on a logarithmic scale), evolved in human history.
Photocopier. A photocopier (also called copier or copy machine, and formerly Xerox machine, the generic trademark) is a machine that makes copies of documents and other visual images onto paper or plastic film quickly and cheaply. Most modern photocopiers use a technology called xerography, a dry process that uses electrostatic charges on a ...
The Akhmim wooden tablet wrote fractions in the form 1/n in terms of sums of hekat rational numbers, 1/3, 1/7, 1/10, 1/11 and 1/13. In this document a two-part set of fractions was written in terms of Eye of Horus fractions which were fractions of the form 1 / 2 k and remainders expressed in terms of a unit called ro.
A simple run chart showing data collected over time. The median of the observed data (73) is also shown on the chart. A run chart, also known as a run-sequence plot is a graph that displays observed data in a time sequence. Often, the data displayed represent some aspect of the output or performance of a manufacturing or other business process.
This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...