Hajuvusarvud

Hajuvusarvud, also known as irrational numbers, are real numbers that cannot be expressed as a simple fraction, and their decimal representation never ends or repeats. They are fundamental in mathematics and have significant applications in various fields, including physics and engineering. Hajuvusarvud are typically classified into two categories: algebraic and transcendental. Algebraic numbers are roots of non-zero polynomial equations with integer coefficients, while transcendental numbers are not roots of any such equations. The most well-known example of a transcendental number is Euler's number e, which is approximately equal to 2.71828. Hajuvusarvud are often represented using infinite series, continued fractions, or other non-repeating, non-terminating expressions. They play a crucial role in the study of number theory, calculus, and other branches of mathematics. The discovery and understanding of hajuvusarvud have greatly expanded the scope of mathematical knowledge and continue to be an active area of research.