### Dependent Variable (DV) The dependent variable (DV) is just like the sound of the name; it depends on some factor regulated by the investigator. This name is given to dependent variables because their values are studied in an experiment under the presumption or the hypothesis that they depend on the values of other vari.....

### Ordinary Differential Equation (ODE) An ordinary differential equation (ODE) is an equation involving some ordinary derivatives of a function (as opposed to partial derivatives). In comparison to the term partial differential equation that might be in relation to more than one independent variable, the term ordinary is used. An equa.....

### Differential Equation A mathematical statement is a differential equation; it is an equation that relates one or more functions and their derivatives. In science and engineering, as well as in many other fields of quantitative analysis, differential equations are very common because their rates of change are what can ..... 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..... 