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A different trick may be used to prove = = + or in words, the sum of the squares of the first Fibonacci numbers up to is the product of the n-th and (n + 1)-th Fibonacci numbers. To see this, begin with a Fibonacci rectangle of size F n × F n + 1 {\displaystyle F_{n}\times F_{n+1}} and decompose it into squares of size F n , F n − 1 , . . .
Many early texts mention Pythagorean triples and so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical concept after basic arithmetic and geometry. It is in Babylonian mathematics that elementary arithmetic ( addition , subtraction , multiplication , and division ) first appear in the archaeological ...
There are single-decade (C and D), double-decade (A and B), and triple-decade (K) scales. To compute , for example, locate x on the D scale and read its square on the A scale. Inverting this process allows square roots to be found, and similarly for the powers 3, 1/3, 2/3, and 3/2.
The triple-alpha process is a set of nuclear fusion reactions by which three helium-4 nuclei (alpha particles) are transformed into carbon. [ 1 ] [ 2 ] Triple-alpha process in stars
The Great Rift Valley of Africa provides critical evidence for the evolution of early hominins.The earliest tools in the world can be found there as well: An unidentified hominin, possibly Australopithecus afarensis or Kenyanthropus platyops, created stone tools dating to 3.3 million years ago at Lomekwi in the Turkana Basin, eastern Africa.