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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 are wavelets?

Wavelets are functions used to study a function by dividing it into small pieces and study each piece alone.

Why does a calculator give misleading results for numeric derivatives?

You don't normally calculate derivatives with a calculator. Please clarify what calculation you were trying to do.

Does p V (q r) and (p V q) r mean the same thing?

The browser which is used for submitting questions is crap (to be polite)! It is therefore likely that I cannot see the question as you would have wished. But, as far as I can make out, the answer is probably not.

Where can you find a site for selective school sample test papers?

In the UK, selective state schools use National Foundation for Educational Research (NFER) exams whereas independent selective schools exams are set by the Independent Schools Examinations Board (ISEB). Their web sites can offer some samples. More may be obtained from the sites for the individual schools.

What is the LCM of 41 and 26?

LCM of 41 and 26 = 1066

Prime Factorization of:

41 = 41

26 = ........2 x 13

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LCM=41 x 2 x 13 = 1066

What does it integers mean in algebra?

Counting numbers are 1,2,3....

If you include 0 and the opposites .... -3,-2,-1, 0,1,2,3 .... this creates the integers.

Integers do not include decimals or fractions.

Is every real number a whole number?

No. Real numbers are equivalence classes of cauchy sequences of rational numbers, which in turn are equivalence classes of pairs of integers (or whole numbers). Examples of real numbers that are not rational and therefore not integer are sqrt(2) and pi. Examples of real numbers that are rational but not integer are 1/2 and 13/17.

How many ways can you make twelve cents with coins?

There are several countries that use cents as a minor currency unit and they use different coinage. It is, therefore, not possible to answer the question without knowing which country it refers to.

What property of multiplaction allows you to break a problem into partial products?

distributive property, and substitution property.

EX: 42 x 20 = (40 + 2) x 20 = (40 x 20) + (2 x 20)

What shapes can an triangle be divided?

By a single straight line only into triangles or quadrilaterals.