### Mathematic

About Deductive Reasoning Deductive reasoning relies on a general statement or hypothesis (sometimes called a premise or standard) held to be true to reach a specific, logical conclusion. It is sometimes referred to as top-down logic. Its counterpart, inductive reasoning, is sometimes referred to.....

About Boolean Algebra Boolean algebra is a type of mathematical operation that, unlike regular algebra, works with binary digits (bits): 0 and 1. While 1 represents true, 0 represents false. Instead of elementary algebra where the values of the variables are numbers, and the prime operations are .....

About Abductive Reasoning Abductive reasoning is to abduce (or take away) a logical assumption, explanation, inference, conclusion, hypothesis, or best guess from an observation or set of observations. Because the conclusion is merely a best guess, the conclusion that is drawn may or may not be t.....

### Commutative Property of Multiplication of Two Complex Numbers

A complex number is a number of the form a + bi, where ‘a’ and ‘b’ are real numbers and ‘I’ is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number. The equations x2 + 5 = 0, x2 + 10 = 0, x2 = -1 are not solvable […]

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### Multiplication of Two Complex Numbers

A complex number is a number of the form a + bi, where ‘a’ and ‘b’ are real numbers and ‘I’ is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number. The equations x2 + 5 = 0, x2 + 10 = 0, x2 = -1 are not solvable in the real number […]

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### Subtraction of Complex Numbers

Subtraction of Complex Numbers A complex number is a number of the form a + bi, where ‘a’ and ‘b’ are real numbers and ‘I’ is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number. The equations x2 + 5 = 0, x2 + 10 = 0, x2 = […]

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### Equality of Complex Numbers

Equality of Complex Numbers A Complex Number is a combination of a Real Number and an Imaginary Number. A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and ‘i’ is a solution of the equation x2 = −1, which is called […]

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### Comparison of Surds

Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined. It is a number that can’t be simplified to remove a square root (or cube root etc). For example, each of the quantities √3, ∛7, ∜19, (16)^2/5 etc. is a surd. More Examples.....

### Direct Variation in Mathematics

“Variation” defines a concept that deals with variability in mathematics. Variation is defined by any change in some quantity due to change in another. We often come across with different types of variation problems in mathematics. Variation problems involve fairly simple relationships or for.....

### Classification of Triangles on the Basis of their Angles

Triangle is a plane figure with three straight sides and three angles. The three angles always add to 180°. The vertex is a corner of the triangle. Every triangle has three vertices. The interior angles of a triangle always add up to 180°. The exterior angles of a triangle always add up to 360.....