Pascal's triangle
The "Pascal's triangle" is a strange array of numbers, imagined long before the French philosopher and mathematician: from India to China through the Arab-Muslim world, it has fascinated generations of scientists. We acknowledge the French scholar for giving it its full importance and for justifying many unexpected formulas that interact between its elements. We know the use of this combinatorial object in probability theory, in the binomial expansion. Perhaps we are unaware of all the corners where it hides…
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Pascal's triangle, programming and Fourier | Tangente
Rich in countless combinatorial and numerical properties, Pascal's triangle is ubiquitous in mathematics. Some of its applications in analysis, however, remain little known. The capabilities of the fx-CP400+E computer algebra calculator suggest a signal-processing activity.
Pascal's triangle: a thousand-year history | Tangente
"Pascal's triangle" may have been discovered by Indians more than two thousand years ago. It reached the Arab-Muslim world and China as early as the 11th century. It did not appear in Europe until the 16th century, when Blaise Pascal began to study it rigorously.
Journey into the heart of a mathematical classic
If you know how to fill in Pascal's triangle, you may be less aware of the treasures it contains. Arithmetic, geometric, combinatorial: it has no shortage of astonishing mathematical properties! And there are undoubtedly many more still to be discovered…
Numbers in a triangle: math puzzles to explore
The arrangement of numbers in Pascal's triangle obviously lends itself to play, and many mathematical recreations refer to it.