## HALF IS AS MUCH AS A WHOLE … HOW COME?

The set of all natural numbers, , is a countably infinite set. In fact, . Now, let G be the set of all even natural numbers. Thus, G = {2, 4, 6, 8, 10, 12, …}. Note that G isRead More

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The set of all natural numbers, , is a countably infinite set. In fact, . Now, let G be the set of all even natural numbers. Thus, G = {2, 4, 6, 8, 10, 12, …}. Note that G isRead More

In this article, we’ll learn how to determine the equation of the bisector of the angle between two lines whose equations are given. For example, suppose that the equations of lines g and h are and , respectively. As FigureRead More

The readers may find that literatures on mathematics provide various definitions of powers. Some authors do not distinguish the term power from index/exponent. Throughout this article, a power is a mathematical expression in the form of br where . The numberRead More

Definition Let , a, b > 0 and b ≠ 1. The logarithm of a to base b, denoted by , is defined as follows. if and only if The number b is called the base of the logarithm, andRead More

Blindness was not an obstacle for him to deliver magnificent works. Along with his perseverance in studying mathematics, he lost the sight of his right eye and then his left eye as well 31 years later. He discovered a branchRead More

There are times when we need to simplify a square root such as √500 into a simpler form, that is 10√5. Similarly, the form can be simplified to . Additionally, the radical fraction can be simplified to (√5 – √3).Read More

Quadratic equations have the general form ax2 + bx + c = 0, provided that a ≠ 0. Here are some examples of quadratic equations: x2 – 4x – 5 = 0 [a = 1, bRead More

A quadratic equation is an equation of the general form ax2 + bx + c = 0 where a ≠ 0. There are several techniques that can be used to find its roots. One of them is by factorization, whichRead More

A function f from to is called a quadratic function if for some a, b, c ∈ f(x) = ax2 + bx + c, provided that a ≠ 0. The graph of a quadratic function is a parabola, whose shapeRead More

Manufacturing and service companies attempt to deliver the best products or services to their customers. Manufacturing companies expect that 100% of the goods they produce are non-defective. Also, service companies such as courier services expect that 100% of the packagesRead More