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The general steps for adding and subtracting fractions: Adding fractions: Find a common denominator for the fractions. Rewrite each fraction as an equivalent fraction with the common denominator. Add the numerators of the equivalent fractions. Simplify the resulting fraction, if possible. For example, let’s say we want to add 1/2 and 1/3: The…
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The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120 Here are the steps to calculate the factorial of a number: Decide on the value of…
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Exponential growth Exponential growth is a mathematical concept that describes a quantity that increases at a constant relative rate over time. In other words, the rate of increase of a quantity is proportional to its current value. The formula for exponential growth is: y = a * (1 + r)^t where: y is the…
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Exponents are a way of representing repeated multiplication. They are written as a base number raised to a power, or exponent. For example, 3^2 means “3 squared” and is equal to 3 multiplied by itself, or 3 x 3, which equals 9. The exponent tells you how many times to multiply the base number…
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Division Division is a basic arithmetic operation that involves splitting a number into equal parts or groups. It is the inverse operation of multiplication, which means that if we know the product of two numbers, we can find one of the factors by dividing the product by the other factor. For example, if we…
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Dividing fractions Dividing fractions can be done using the following steps: Invert the second fraction (the divisor) by swapping its numerator and denominator. Multiply the first fraction (the dividend) by the inverted second fraction. Simplify the resulting fraction (if possible) by reducing it to its lowest terms. The formula for dividing two fractions a/b…
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Cosine In mathematics, cosine (often abbreviated as cos) is a trigonometric function that represents the ratio of the adjacent side to the hypotenuse of a right-angled triangle. It is defined as: cos(theta) = adjacent side / hypotenuse where theta is the angle between the adjacent side and hypotenuse. Cosine is a periodic function with…
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Convolution is a mathematical operation that combines two functions to produce a third function that describes how one of the original functions modifies the other. In the context of signal processing, it is used to calculate the output of a linear time-invariant system given its input signal and impulse response.
Binary/Hex Binary and hexadecimal are both number systems used in computing and digital systems. Binary is a base-2 system, which means it uses only two digits – 0 and 1 – to represent all numbers. In binary, each digit represents a power of 2, with the rightmost digit representing 2^0 (1), the next representing…
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