👉 In mathematics, a "rational number" is an algebraic number that can be expressed as a ratio of two integers. The set of all rational numbers includes all integers and their positive and negative multiples. Rational numbers are fundamental in many areas of mathematics, including arithmetic, geometry, and calculus. They are important because they allow us to perform calculations with fractions and decimals, which are essential for many scientific and technological applications. In the context of the term "rational number," a "r
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What is the definition of Ramification? 🙋
👉 In number theory and algebra, a branch of mathematics, a ramification is a process by which a prime divisor of a polynomial equation splits into smaller factors. This means that the degree of each factor in the polynomial equation is reduced. For example, consider the equation $x^3 - 2x + 1 = 0$. The roots of this equation are given by $x_1 = \frac{-(-2) \pm \sqrt{(-2)^2-4(1
