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Mathematical Analysis

Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.

2,575 Questions

What is 30 percent off of 66 dollars?

30% off = 70% left.

So answer = 66*70/100 = 46.20 dollars.

What is larger 1 second or 1 centisecond?

1 second = 100 centiseconds.

To help you remember, 1 meter = 100 centimeters and centi- anything is the same.

How do you know a line is linear?

Y = mx + b

No exponent on the x variable is one very telling sign that this is a line.

Difference between laplace transform and z transform?

the difference is the "S" and "Z" parameters.

S used for analog computation while Z for digital processing.

basically Z is the digital approximation of the analog frequency domain signal.

Z=exp(sT)

where T is the sampling time.

What is numbers 1 to 20 in hex?

1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f, 10, 11, 12, 13, 14

What is a greater unit of time and era or an epoch?

In geology, an era is a greater unit than an epoch. Elsewhere the two words are synonymous.

What is the purpose of normalisation?

If you are referring to normalization of floating point numbers, it is to maintain the most precision of the number possible. Leading zeros in floating point representation is lost precision, thus normalization removes the leading zeros by shifting left and adjusting the exponent. If the calculation was done in a hidden extended precision register (like IEEE 80-bit format) extra precision bits may be shifted in to the LSBs before restoring the result to a standard single or double precision register, reducing loss of precision.

How do you convert 47grams into ml?

Grams is a measure of mass and milliliters is a measure of volume. The way they are related is through the equation: density= mass/ volume. Therefore you would need to find the density of the substance in order to convert the units. If you find the density then you would multiply the density and 47 grams to find the volume.