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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 the mathematical basis for phone and email hacking?

Digital encryption is based on prime factorization of really large numbers. Each software manufacturer writes a specific algorithm to encode each password with a semi-random large number. And the characters you chose are encoded with the prime factorization of that number. Since every number has a "unique" prime factorization that's what makes it secure. Password "hacking programs" run through several prime factors systematically until it finds the right one and "decodes" the password.

What is the volume of a bullet tank?

Vol=(3.14)(radious squared)(height)+(4/3)(3.14)(radious cubed)

What are some adjectives for the math term function?

Here are some:

odd, even; periodic, aperiodic;

algebraic, rational, trigonometric, exponential, logarithmic, inverse;

monotonic, monotonic increasing, monotonic decreasing,

real, complex;

discontinuous, discrete, continuous, differentiable;

circular, hyperbolic;

invertible.

How do yo calculate the percentage of oxygen in NiSO4 7H2O?

molecular weight of NiSO4.7H2O is 1101.3 and it has 11 oxygens.

So percentage of oxygen = (7 x 16) / 1101.3 = 112 / 1101.3 = 0.102 or 10.2%

Rules of differentiation?

Assume f=f(x), g=g(x)and (f^-1)(x) is the functional inverse of f(x).

(f+g)'=f'+g'

(f*g)'=f'*g+f*g' product rule

(f(g))'=g'*f'(g) compositional rule

(f/g)'=(f'*g-f*g')/(g^2) quotient rule

(d/dx)(x^r)=r*x^(r-1) power rule and applies for ALL r.

where g^2 is g*g not g(g)

How do you write a notice to all students informing about special yoga classes in not more than 50 words?

5 june,2012

Our school is going to organize special Yoga classes which is organized by Vivekananda Yoga Anusandahna Samsthana . This is one of the best event of our school. This is also a best event to make everybody fit and well.The timing of yoga classes is 8 a.m. to 9 a.m. There is no extra charge for these classes. Those students who want to learn yoga,give their names to their class teacher.

rekha bahl

head girl

How many car tires are in a ton?

This answer really depends upon the size of the unit in question. Smaller units will require more in number in comparison with larger units.

What does the binary number 011 represent?

Base2 011 = 11

Base3 011 = 10

Any base above that:

Base2(11) equals 3

What are Laplace transforms?

Laplace transforms are used in electronics to quickly build a mathematical circuit in the frequency domain (or 's' plane) that can then can be converted quickly into the time domain.

The theory of how this works is still a puzzle to me, but the methods used are straightforward. Simply solve the integral of the function in question multiplied by the exponential function e-st with limits between 0 and infinity.

What are the limitations of z-transform?

The main limitation is that the z-transform is appropriate only if the underlying data are normally distributed. It is also important that the estimates for the mean and variance are sufficiently accurate.

How many BC years are there?

As many as there are useful. The BC indicates the years before the Christian Era. For recorded human history that could go back as far as 8000 to 9000 years BC. Any further could not be very accurate therefore not be very useful.

Answer2:

Approximately 4.55 billion years. Just because humans weren't recording it, doesn't mean we can't determine it. Radiometric dating suggests 4.55 billion years since the formation of the Earth. Though this is the time from when the Earth was formed. If you want the total time since the universe was formed, it is approximately 13.75 billion years.

How many gallons of gasoline are used in the US in 2010?

About 142.5 billion gallons of gasoline are used each year in the United States. This represents 392 million gallons per day.

This is based on an estimated figure of 9.12 million barrels per day, 43 gallons per barrel, 365 days in a year.

When census is preferred over sampling?

When comprehensive information is required. It may also be the better option if the characteristic of interest is important but very rare. In such a case, a sample may give an underestimate.

When comprehensive information is required. It may also be the better option if the characteristic of interest is important but very rare. In such a case, a sample may give an underestimate.

When comprehensive information is required. It may also be the better option if the characteristic of interest is important but very rare. In such a case, a sample may give an underestimate.

When comprehensive information is required. It may also be the better option if the characteristic of interest is important but very rare. In such a case, a sample may give an underestimate.