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The oldest known multiplication tables were used by the Babylonians about 4000 years ago. [2] However, they used a base of 60. [2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period. [2] "Table of Pythagoras" on Napier's bones [3]
Fast table lookup using input character as index for branch table; Art of Assembly: Calculation via Table Lookups "Bit Twiddling Hacks" (includes lookup tables) By Sean Eron Anderson of Stanford University; Memoization in C++ by Paul McNamee, Johns Hopkins University showing savings "The Quest for an Accelerated Population Count" by Henry S ...
Add a calculator widget to the page. Like a spreadsheet you can refer to other widgets in the same page. Template parameters [Edit template data] Parameter Description Type Status id id The id for this input. This is used to reference it in formula of other calculator templates String required type type What type of input box Suggested values plain number text radio checkbox passthru hidden ...
It requires memorization of the multiplication table for single digits. This is the usual algorithm for multiplying larger numbers by hand in base 10. A person doing long multiplication on paper will write down all the products and then add them together; an abacus-user will sum the products as soon as each one is computed.
jQWidgets is a software framework with widgets (graphical control elements), themes, input validation, drag & drop plug-in, data adapters, built-in WAI-ARIA accessibility, internationalization and MVVM support. It is built on the open standards and technologies HTML5, CSS, JavaScript and jQuery. [3]
[134] [g] Printed tables were particularly relevant as an aid to look up the results of operations like logarithm and trigonometric functions. [136] Mechanical calculators automate manual calculation processes. They present the user with some form of input device to enter numbers by turning dials or pressing keys.
Multiplication can also be thought of as scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result. Animation for the multiplication 2 × 3 = 6 4 × 5 = 20. The large rectangle is made up of 20 squares, each 1 unit by 1 unit. Area of a cloth 4.5m × 2.5m = 11.25m 2; 4 1 / 2 × 2 1 / 2 = 11 1 / 4
Commonly, rather than implementing Galois multiplication, Rijndael implementations simply use pre-calculated lookup tables to perform the byte multiplication by 2, 3, 9, 11, 13, and 14. For instance, in C# these tables can be stored in Byte[256] arrays. In order to compute p * 3. The result is obtained this way: result = table_3[(int)p]