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Mathematics is a field of study that discovers and organizes methods, ... [10] The subject of combinatorics has been studied for much of recorded history, ...
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
In modern positional numbers systems, such as the decimal system, the digits and their positions in the representation of an integer, for example, 45, are a shorthand notation for a polynomial in the radix or base, in this case, 4 × 10 1 + 5 × 10 0. As another example, in radix 5, a string of digits such as 132 denotes the (decimal) number 1 ...
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]
Development of a formulation of arc length suitable for applications to mathematics and the sciences is a focus of calculus. In the most basic formulation of arc length for a parametric curve (thought of as the trajectory of a particle), the arc length is gotten by integrating the speed of the particle over the path.
Time-keeping on this clock uses arithmetic modulo 12. Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.
Zero-sum game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result is an advantage for one side and an equivalent loss for the other. [1]
Iran, [a] [b] officially the Islamic Republic of Iran (IRI) [c] and also known as Persia, [d] is a country in West Asia.It borders Turkey to the northwest and Iraq to the west, Azerbaijan, Armenia, the Caspian Sea, and Turkmenistan to the north, Afghanistan to the east, Pakistan to the southeast, the Gulf of Oman and the Persian Gulf to the south.