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Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has. where e is the base of the natural logarithm, i is the imaginary unit, and ...
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA). Excel forms part of the Microsoft 365 suite of software.
Consequently, the adjunction formula says that the restriction of (d − 3)H to C equals the canonical class of C. This restriction is the same as the intersection product (d − 3)H ⋅ dH restricted to C, and so the degree of the canonical class of C is d(d−3). By the Riemann–Roch theorem, g − 1 = (d−3)d − g + 1, which implies the ...
Abel–Plana formula. In mathematics, the Abel–Plana formula is a summation formula discovered independently by Niels Henrik Abel ( 1823) and Giovanni Antonio Amedeo Plana ( 1820 ). It states that [1]
The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2] It is called the shoelace formula because of the constant cross-multiplying for the coordinates making up the ...
Calvaria Church ( Romanian: Biserica Romano-Catolică Calvaria de la Cluj-Mănăștur, Hungarian: Kolozsmonostori apátság) was built in the small village of Mănăștur near Cluj-Napoca (today a district of Cluj-Napoca). A small Benedictine abbey surrounded by defensive walls, Calvaria Church was built starting in the 9th-10th centuries.
Things are going well for Nelly Korda these days, that's for sure. The 25-year-old has won a record-tying five straight tournaments. Korda will try to become the first woman to win six consecutive ...
Chowla–Selberg formula. In mathematics, the Chowla–Selberg formula is the evaluation of a certain product of values of the gamma function at rational values in terms of values of the Dedekind eta function at imaginary quadratic irrational numbers. The result was essentially found by Lerch ( 1897) and rediscovered by Chowla and Selberg ...