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Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
The coefficients of the terms with k > 1 of z 1−k in the last expansion are simply where the B k are the Bernoulli numbers. The gamma function also has Stirling Series (derived by Charles Hermite in 1900) equal to [ 43 ] l o g Γ ( 1 + x ) = x ( x − 1 ) 2 ! log ( 2 ) + x ( x − 1 ) ( x − 2 ) 3 !
a·v 1 = a·(x − 1/x)/2 for a suitable multiplier a in the second column, and a·v 4 = a·(x + 1/x)/2 in the third column. In this interpretation, x and 1/x (or possibly v 1 and v 4) would have appeared on the tablet in the broken-off portion to the left of the first
Flowchart of using successive subtractions to find the greatest common divisor of number r and s. In mathematics and computer science, an algorithm (/ ˈ æ l ɡ ə r ɪ ð əm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. [1]
A p-brane sweeps out a (p+1)-dimensional volume in spacetime called its worldvolume. Physicists often study fields analogous to the electromagnetic field which live on the worldvolume of a brane. [27] In string theory, D-branes are an important class of branes that arise when one considers open strings. As an open string propagates through ...
This is an accepted version of this page This is the latest accepted revision, reviewed on 5 January 2025. U.S. state This article is about the U.S. state. For the river, see Mississippi River. For other uses, see Mississippi (disambiguation). State in the United States Mississippi State Flag Seal Nickname(s): "The Magnolia State" and "The Hospitality State" Motto(s): Virtute et armis (Latin ...
It has also become the de facto lingua franca of diplomacy, science, technology, international trade, logistics, tourism, aviation, entertainment, and the Internet. [10] English accounts for at least 70% of total speakers of the Germanic language branch, and as of 2021, Ethnologue estimated that there were over 1.5 billion speakers worldwide.