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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 ...
The Alhambra (/ æ l ˈ h æ m b r ə /, Spanish:; Arabic: ال ح م ر اء, romanized: al-ḥamrāʼ ) is a palace and fortress complex located in Granada, Andalusia, Spain.It is one of the most famous monuments of Islamic architecture and one of the best-preserved palaces of the historic Islamic world, in addition to containing notable examples of Spanish Renaissance architecture.
In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified by three numbers, ( r, θ, φ ): the radial distance of the radial line r connecting the point to the fixed point of origin (which is located on a fixed polar axis, or zenith direction axis ...
Facade pattern. The facade pattern (also spelled façade) is a software design pattern commonly used in object-oriented programming. Analogous to a façade in architecture, it is an object that serves as a front-facing interface masking more complex underlying or structural code. A facade can: improve the readability and usability of a software ...
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci ...
With three volcanic cones — Kibo, Mawenzi and Shira — it is the highest mountain in Africa and the highest single free-standing mountain above sea level in the world: 5,895 m (19,341 ft) above sea level and 4,900 m (16,100 ft) above its plateau base. It is also the highest volcano in the Eastern Hemisphere .
The country was formed in 1918 immediately after World War I as the Kingdom of Serbs, Croats and Slovenes by union of the State of Slovenes, Croats and Serbs and the Kingdom of Serbia. It was commonly referred to at the time as a "Versailles state".Later, King Alexander I renamed the country to Yugoslavia in 1929.
