0
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
Famous African American mathematicians?
Benjamin Banneker, Elbert Frank Cox, David Blackwell, J. Earnest Wilkins, Jr.
How do you find the radius of a circle if you have the area?
The formula for the area of a circle is pi times r2. To find the radius, divide the area by pi then find the square root of that value. Basically it looks like this:
r=(a/pi)^2
^= to the power of
The reverse formula is r = sq rt (A/π)
Radius = the square root of the value "area divided by pi" (A/3.14)
Example : Given a circle with area 60, the radius would be :
r = sq rt [60 / 3.1416] = sq rt [19.1] ~ = 4.37
So the circle with an area of 60 has a radius of about 4.37
------------
Area = Π*r2
radius = √(area/Π)
Which scientist is most responsible for the theory of spontaneous generation?
Aristotle, the philosopher and scientist, was most responsible for developing the theory of spontaneous generation. The person perhaps most associated with the theory, however, is Louis Pasteur, who actually disproved the theory.
He had 6 oranges to start with, and ate 2 the first day and 2 the second day.
Why do scientist use the theory of realitivety?
They use it because in certain cases, it provides a better description of the real world than previous theories.
What is the difference between the ''dot product'' and the ''cross product''?
Given two vectors, a and b, their dot product, represented as a ● b, is equal to their magnitudes multiplied by the cosine of the angle between them, θ, and is a scalar value.
a ● b = ║a║║b║cos(θ)
Cross Product:Given two vectors, a and b, their cross product, which is a vector, is represented as a X b and is equal to their magnitudes multiplied by the sine of the angle between them, θ, and then multiplied by a unit vector, n, which points perpendicularly away, via the right-hand rule, from the plane that a and b define.
a X b = ║a║║b║sin(θ)n
When you have a fraction on each side of the equals you can multiply the denominator of the left side times the numerator of the right. It will equal the product of the numerator on the left side times the denominator of the right.
That is called cross products.
What is the real life application of integers?
temperature.. -20 degrees 34 degree.. the numbers are integers. Of course you could have 20.4 degree, but often just integers are used
What was the Laplace transform of sin2 3t?
the Laplace transform of sin2 3t
http://www7.0zz0.com/2009/12/30/19/748450027.gif
How many regular polygons are there?
There are an infinite numberof regular polygons, though as the number of sides increases, the polygon begins to look more and more like a circle.
Which is harder differential calculus or integral calculus?
Im still taking Integral Calculus now, but for me, if you dont know Differential Calculus you will not know Integral Calculus, because Integral Calculus need Differential. So, as an answer to that question, ITS FAIR
A straight line from side to side of a planet through the centre?
The diameter.
See related link for a detailed explanation.
Is every irrational number a complex number?
Yes! Every complex number z is a number, z = x + iy with x and y belonging to the field of real numbers. The real number x is called the real part and the real number y that accompanies i and called the imaginary part. The set of real numbers is formed by the meeting of the sets of rational numbers with all the irrational, thus taking only the complex numbers with zero imaginary part we have the set of real numbers, so then we have that for any irrational r is r real and complex number z = r + i0 = r and we r so complex number. So every irrational number is complex.
What is the purpose of calculus?
To solve problems that involve infinitesimal quantities. Such problems are solving for the slope of or area under a curve.
What is a product in a multiplication sentence?
The product of a multiplication sentence is the answer.
Difference between fourier transform and first fourier transform?
The question almost certainly intends "fast" instead of "first". The difference between a Fourier Transform and a Fast Fourier Transform is only the amount of effort required to generate the result. Both have the same the result. The original Fourier Transform requires an amount of effort which is proportional to the square of the amount of data being used. So if the amount of data doubles, the amount of effort to calculate the result quadruples. In contrast, the subsequently discovered Fast Fourier Transform requires an amount of effort proportional to the product of the amount of data and the base-two logarithm of the amount of data. Thus, if the amount of data doubles, the amount of effort increases but by less than a quadruple. With each doubling of the data size, the amount of effort increases by a diminishing factor which slowly drops toward but never reaches two.
What is a reasonable interval?
Ah, a reasonable interval is like a gentle pause between two moments, allowing you to breathe and reflect. It's a space where you can gather your thoughts and feelings before moving forward. Just like in painting, it's important to give yourself these intervals to appreciate the beauty of the process and make thoughtful decisions.
