Mathematical Analysis

1.z transform can not aaply in continious signal.

2.z transform can not analyse analog filter

Programming language?

For example:

For A ÷ B

If B = 0

Then

Answer = "Undefined"

Else

Answer = A ÷ B

End If

By the way, in Calculus, you often find out that 'passing the limit' you will get a rational value when dividing by zero. It depends on the equation.

Absolute values are essentially used for the magnitude (distance) to zero of a number. They are represented by a number inside a vertical bar (e.g., |2|)

E.g.'s:

| 2 | = 2 (the absolute value of 2 is equal to 2)

| -4 | = 4 (the absolute value of -4 is 4)

In terms of rational numbers, it just means to hold the fraction. Rational numbers can be written in a/b (fraction) form.

E.g.'s:

| 1+2/3 | = 1+2/3 (the absolute value of one and two thirds is equal to one and two thirds)

| -1-2/3| = 1+2/3 (the absolute value of -1 minus 2/3 is equal to 1 and 2/3.

9.58/3600 = 0.002661 hours.

8'X 30"

Change feet to inches: 8'X12" = 96"

96"X30" = 2880"2

2880"2 = 20'2

(2/25)/(8/100=10

0.08 / 0.008=10

a liter ?

A liter is equal to 1000 cc and is close to a quart.

The fourier series of a sine wave is 100% fundamental, 0% any harmonics.

A cube has only one shape and that is of a cube! It has six faces.

Depends on speed.

Swap the numerator and the denominator to obtain 1/0. Anything divided by zero is undefined.

179

If x is the angle between the two vectors then the magnitudes are equal if cos(x) = sin(x). That is, when x = pi/4 radians.

You measure it.

Put the coefficients of the variables into a 3x3 matrix, and take the determinant of the matrix. If the determinant is not zero, then there is one solution. If the determinant is zero, then there are infinite solutions or there is no solution.

Think of a system of 2 variables, for simplicity. You have 2 equations and 2 variables (x & y). Each equation can be graphed as a straight line, hence the name 'linear system'. If the 2 lines are not parallel, then there will be only one point where they intersect, which is the one solution to the linear system. If they are parallel, then there is no solution(they never intersect), and if the two lines coincide, then infinite solutions(they intersect at every point). In both of the latter cases, the related matrix will have a determinant of zero.

There are several, of which endeca- and hendeca- are more common. However, most mathematicians who wish to communicate rather than be pretentious will refer to an 11-gon or 11-hedron rather than use the prefices.

some are but most are not. There are actually an infinite number that are, 13, 26, 39, 52, etc. are all divisible by 13.

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starts at a point and continues in one direction for infinitely long distance

Yes. For example: A square wave has a Fourier series.

mode is 12

median is 12

Fourier series is series which help us to solve certain physical equations effectively

well, any fraction or decimal is a percent, like 3/4=.75=%75

we get a triangle

10% of 27.5 = 0.1 x 27.5 = 2.75