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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

How can maths be used to determine the reading difficulty of a book?

One way to determine the reading level of a book is to count the number of words, and identify the percentage of , for instance, 4 syllable words, 3 syllable words, and 2 syllable words. The higher the percentage of multisyllable words, the more reading difficulty.

Why a unit vector is aone type of vector but a vector is not a unit vector?

A unit vector is a vector whose magnitude is one. Vectors can have magnitudes that are bigger or smaller than one so they would not be unit vectors.

How far can computers really predict?

That will vary depending on the real world system being simulated to make the prediction.

Some real world systems are deterministic and simplemaking it easy to make good long term predictions, other systems are perturbed in unpredictable ways making prediction impossible, many real world systems (e.g. the weather) are deterministic but chaotic (i.e. they are very sensitive to undetectably small differences in initial conditions) making them predictable until these tiny differences accumulate to large differences.

For these reasons it is hard to give any simple answer to your question.

What goes into 112 evenly?

not really anything unless your using decimals

What does summation of infinite series?

The summation of a geometric series to infinity is equal to

a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.

An angle that represents 23 of a turn?

If you mean 2/3 of a turn then it is an angle of 240 degrees

What is the open set?

This question does not make sense, and is very unclear.

What is 3.14 also called?

it is called pi because 3.14 backwards and upside down spells pie

Is 705220 divisible by 3?

No, it is not divisible by 3

Alternative answer

Yes it is divisible by 3 but not to a whole number

705,220 divided by 3 = 235073.333333r

e.g. three people won £705.220 on the lottery, if they divided the money equally they would each get £235,073.33