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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 is the singular points in complex analysis?

A singular point is any boundary point of the Disk that is not a regular point of the function.

What is the Fourier Transform?

The Fourier transform is a mathematical transformation used to transform signals between time or spatial domain and frequency domain. It is reversible. It refers to both the transform operation and to the function it produces.

How many cm in a 12by12 room?

12ft*12 ft room = 144 square feet = 133,780.37760012082 square cms.

Is 3 16th bigger than 1 8th?

Suppose that

3/16 >1/8

3/16 >? 1x2/8x2

3/16 > 2/16 true

Thus, 3/16 > 1/8

How can you create two equilateral triangles using four matchsticks?

Cross two match sticks to bisect like X and place the other two match sticks at the base of the two equilateral triangles formed .

Is 5 ft greater than 64 in?

No. Five feet is 60 inches (12 inches/foot times 5 feet), which is less than 64 inches.

What does NNLN 12 mean?

It probably refers to Novell Netware Lotus Notes, 2012 release through Groupware.

What is mathematical analysis?

Analysis can be thought of as a continuation of calculus. It deals with topics such as measure, limits, and integration/differentiation, and spaces (such as metric spaces).

When cross and dot product equal what is angle between A and B?

A · B = |A| |B| cos(Θ)

A x B = |A| |B| sin(Θ)

If [ A · B = A x B ] then cos(Θ) = sin(Θ).

Θ = 45°

How hard would you have to push a 50 kg skater to increase her speed by 2 m sec sec?

Any force in the direction she's moving will cause her speed to increase.

The more force you use, the faster her speed will increase.

If you want to increase her speed by 2 m per sec in one second, then you want her

acceleration to be (change in speed)/(time for the change) = 2/1 = 2 m/sec2 .

F = M A = (50) (2) = 100 newtons

If you want to increase her speed by 2 m per sec in 0.1 second, then you want her

acceleration to be (change in speed)/(time for the change) = 2/0.1 = 20 m/sec2 .

F = M A = (50) (20) = 1,000 newtons.

If you want to increase her speed by 2 m per sec in 1 minute, then you want her

acceleration to be (change in speed)/(time for the change) = 2/60 .

F = M A = (50) (2/60) = 1.667 newtons.

What is the radical symbol really mean?

it is a progressive deformation of the letter r

first algebrists wrote r2 which became √2

Why empty set is open on the basis of def?

The empty set is open because the statement: "if x in A, some neighborhood of x is a subset of A" is true!

If A is empty, the hypothesis: "if x in A" is false and so the statement is vacuously true.

How many feet in 40 m x 2m?

There is no answer to this question. Feet is a unit of length, while 40 m x 2 m defines an area.

If you want square feet in that area, you multiply length times width to find that it's 80 square meters.

An inch is defined as 2.54 cm, so a foot would be 30.48 cm or 0.3048 meters. A square foot would be 0.3048 * 0.3048 square meters = 0.09290304 square meters.

Divide that 80 square meters to find out how many 0.09290304 chunks there are, and you find there are 861.112833 square feet in a rectangle 40m long and 2m wide.

What is the best estimate for the answer to 294.32 and ndash 198.37?

By definition, the "best" is always the exact value which, in this case, is 95.95

294.32 = 300 - 6 approx

198.37 = 200 - 2 approx.


So a good estimate for 294.32 - 198.37

is (300 - 6) - (200 - 2) = 300 - 6 - 200 + 2 = 300 - 200 - 6 + 2 = 100 - 4 = 96.

A less good estimate is 300 - 200 = 100.

What are limitations of z transform?

1.z transform can not aaply in continious signal.

2.z transform can not analyse analog filter

by - prakash kr

What is the difference in the sum of the interior angles of a decagon compared to a triangle?

The sum of the interior angles of a decagon is 1440 degrees

The sum of the interior angles of a triangle is 180 degreesThe difference in the sum of the interior angles of a decagon compared to a triangle

= 1440 degrees minus 180 degrees

= 1260 degrees