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Pascaline (also known as the arithmetic machine or Pascal's calculator) is a mechanical calculator invented by Blaise Pascal in 1642. Pascal was led to develop a calculator by the laborious arithmetical calculations required by his father's work as the supervisor of taxes in Rouen . [ 2 ]
He also designed a machine using Leibniz wheels in 1777. [6] Dr. Didier Roth, a French inventor, patented and built a machine based on that design in 1842. Izrael Staffel, a polish clockmaker introduced his pinwheel machine in 1845 at an industrial exposition in Warsaw, Poland and won a gold medal in 1851 at The Great Exhibition in London.
The 17th century marked the beginning of the history of mechanical calculators, as it saw the invention of its first machines, including Pascal's calculator, in 1642. [4] [16] Blaise Pascal had invented a machine which he presented as being able to perform computations that were previously thought to be only humanly possible. [17]
For output, the machine would have a printer, a curve plotter, and a bell. [9] The machine would also be able to punch numbers onto cards to be read in later. It employed ordinary base-10 fixed-point arithmetic. [9] There was to be a store (that is, a memory) capable of holding 1,000 numbers of 40 decimal digits [15] each (ca. 16.6 kB).
Leibniz got the idea for a calculating machine in 1672 in Paris, from a pedometer. Later he learned about Blaise Pascal's machine when he read Pascal's Pensées. He concentrated on expanding Pascal's mechanism so it could multiply and divide. He presented a wooden model to the Royal Society of London on 1 February 1673 and received much ...
The multiple charms of Pascal's triangle: 1967 Jan: Dr. Matrix delivers a talk on acrostics: 1967 Feb: Mathematical strategies for two-person contests 1967 Mar: An array of problems that can be solved with elementary mathematical techniques 1967 Apr: The amazing feats of professional mental calculators, and some tricks of the trade 1967 May
Key topics include machine learning, deep learning, natural language processing and computer vision. Many universities now offer specialized programs in AI engineering at both the undergraduate and postgraduate levels, including hands-on labs, project-based learning, and interdisciplinary courses that bridge AI theory with engineering practices.
In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra.In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, [1] India, [2] China, Germany, and Italy.