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Animation depicting the process of completing the square. ( Details , animated GIF version ) In elementary algebra , completing the square is a technique for converting a quadratic polynomial of the form a x 2 + b x + c {\displaystyle \textstyle ax^{2}+bx+c} to the form a ( x − h ) 2 + k {\displaystyle \textstyle a(x-h)^{2}+k ...
He presented a method of completing the square to solve quadratic equations, sometimes called Śrīdhara's method or the Hindu method. Because the quadratic formula can be derived by completing the square for a generic quadratic equation with symbolic coefficients, it is called Śrīdharācārya's formula in some places.
The stepped reckoner or Leibniz calculator was a mechanical calculator invented by the German mathematician Gottfried Wilhelm Leibniz (started in 1673, when he presented a wooden model to the Royal Society of London [2] and completed in 1694). [1]
In the position shown, the counting wheel meshes with three of the nine teeth of the Leibniz wheel. A Leibniz wheel or stepped drum is a cylinder with a set of teeth of incremental lengths which, when coupled to a counting wheel, can be used in the calculating engine of a class of mechanical calculators.
The calculator uses a tokenized programming language (similar to the earlier FX-602P) which is well suited to writing more complex programs, as memory efficiency is a priority. Tokenization is performed by using characters and symbols in place of long lines of code to minimize the amount of memory being used.
The Arithmometer, invented in 1820 as a four-operation mechanical calculator, was released to production in 1851 as an adding machine and became the first commercially successful unit; forty years later, by 1890, about 2,500 arithmometers had been sold [16] plus a few hundreds more from two arithmometer clone makers (Burkhardt, Germany, 1878 ...
One night he calculated in his head the square root of a number with 53 digits. In the morning he dictated the 27-digit square root of the number, still entirely from memory. It was a feat that was considered remarkable, and Henry Oldenburg , the Secretary of the Royal Society, sent a colleague to investigate how Wallis did it.
When displaying a program, the key codes were shown without line numbers. A program could be saved to mylar -based magnetically coated cards measuring 71 mm × 9.5 mm (2.8 in × 0.4 in), which were fed through the reader by a small electric motor through a worm gear and rubber roller at a speed of 6 cm/s (2.4 in/s). [ 3 ]