Arg or ARG may refer to:
Coordinates: 34°31′25″N 69°10′44″E / 34.52361°N 69.17889°E
The Arg (Persian: ارگ, meaning citadel in Dari and Pashto) serves as the presidential palace in Kabul, Afghanistan. It sits on an 83 acres wide area in the Wazir Akbar Khan section of the city, near the international embassies and Afghan ministries. The Arg was built after the destruction of the Bala Hissar in 1880 by the British Indian troops. It has been used by many Afghan kings and presidents, from King Abdur Rahman Khan to current President Ashraf Ghani.
The foundation of Arg was laid by King Abdur Rahman Khan in 1880 after assuming the throne. It was designed as a castle with water-filled trench around it. Abdur Rahman Khan named it Arg-e-Shahi (Citadel of the King) and included among other buildings a residence for his family, army barracks, and the national treasury. Previously, the Bala Hissar served as the citadel or the headquarters of the kings until it was destroyed by the British Indian troops during the Second Anglo-Afghan war (1878–80).
In mathematics, arg is a function operating on complex numbers (visualized in a complex plane). It gives the angle between the positive real axis to the line joining the point to the origin, shown as φ in figure 1, known as an argument of the point.
An argument of the complex number z = x + iy, denoted arg z, is defined in two equivalent ways:
The names amplitude for the modulus and phase for the argument are sometimes used equivalently.
Under both definitions, it can be seen that the argument of any (non-zero) complex number has many possible values: firstly, as a geometrical angle, it is clear that whole circle rotations do not change the point, so angles differing by an integer multiple of 2π radians (a complete circle) are the same. Similarly, from the periodicity of sin and cos, the second definition also has this property.
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