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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 does the energy symbol w mean?

The energy unit is Joule for which the symbol is J. Imperial units for energy do not have the symbol W, either.

How do you find the volume for a 3-d shape?

It depends on the 3-d shape.

For some shapes, such as pyramids, prisms, parallelepipeds, regular polyhedra, spheres, and ellipsoids there are relatively straightforward formulae. For other 3-d shapes they are not.

In some cases, you can divide up a shape into smaller shapes, each of which falls into one the above category and calculate their volumes.

If the 3-d shape is not soluble in water, you could partly fill a measuring cylinder with water, submerge the shape in it and measure the levels of water in the measuring cylinder before and after introducing the shape. The increase in the apparent volume of water is the volume of the 3-d shape. If the substance of the shape is soluble in water but not some other liquid you could use that liquid.

If you know that the 3-d shape is solid (not hollow), and you know its density, you could measure its mass and then Volume = Mass/Density

What is equal to 31.3?

31.3 is equivalent to 31.30 or 31 and 3/10 as a mixed number

What is the definition and notation for an empty set?

In my class we have notations that means if we have three we get a note four we get a short from.example HW meaning homework missing

How is math inside of music?

casandra le metio en la boca la math a la music la music no tenia hambre pero cassandra se la metio. end

Is it possible network analysis without use of laplace transform?

In short, yes, it is possible, but much, much more difficult. Laplace transforms turn systems of integro-differential equations into algebraic equations, and give an immediate expression for the frequency response which is very heavily used in design.

What is the probability that the division of 1099 is a multiple of 1096?

If there is an integer by which 1099 can be divided that will result in a multiple of 1096, it would have to be 1/1096, resulting in 1204504. I think this is the only one that completely fills the requirements. Dividing 1099 by something that gets you a multiple of 1096 requires dividing by the reciprocal of the factor.

If one occurrence is true, probability is 100%.

How would you add 14 18 and 19 in Roman numerals using two different methods of addition giving reasons why?

Under todays rules (which had nothing to do with the Romans because they were introduced during the Middle Ages) governing the Roman numeral system we would convert the equivalent of 14, 18 and 19 into Roman numerals as XIV, XVIII and XIX respectively which are a mishmash of numerals that are incapable of being added together in some sort of a logical pattern.

Yet there is evidence to suggest that the Romans themselves in the past would have probably used either of the following formats to add together these numbers:-

IXV+IIXX = XXXII (15-1)+(20-2) = (32)

XXXII+IXX = XXXXXI = LI (32)+(20-1) = (51)

Alternatively:-

XIIII+XVIII = XXXII (14)+(18) = (32)

XXXII+XVIIII = XXXXXI = LI (32)+(19) = (51)

Remember: 5*I=V, 2*V=X, 5*X=L

Roman numerals: L=50, X=10, V=5 and I=1

What is the value of z in z 1755?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". There is no equation (nor inequality) in the question.