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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 value of the following expression 50 divided by 2 minus 5 multiplied by 4 plus 1?
(((50 / 2) - 5) * 4) + 1 = 81
order of operations:
(50 / 2) - (5 * 4) + 1 = 6
What is short time fourier transform and what are its properties?
The fractiona lFourier transform (FRFT) is a potent tool to analyze the chirp signal. However,it failsin locating the fractional Fourier domain (FRFD)-frequency contents which is requiredin some applications. The short-time fractional Fourier
transform (STFRFT) is proposed to solve this problem
2m-5=17
+5=+5
___
22
Therefore, 2m = 22
22 / 2 = 11
m = 11
What is the history of limits in calculus?
newton and Leibniz were first introduced the concept of limit independently
Pyramid with square base is aptly named this?
Yes, because it is a PYRAMID and it has a base that is a SQUARE.
80 is equal to 80 because it is the same number....... :)
ex. (79=79) (100=100)
What are at least facts regardimg the properties of a sphere?
1 It is a 3D shape
2 It can be known as a globe
3 It is the same shape as a tennis ball
4 It is nearly the same shape as the Earth
5 It can have density
6 It can be hollow
7 It has a radius and a diameter
8 It has a circumference
9 It has a volume of 4/3*pi*radius3
10 It has a surface area of 4*pi*radius2
11 It is possible to find its surface area given only its volume
12 It is possible to find its diameter given only its surface area
13 It can have lines of latitude
14 It can have lines of longitude
15 It can be plotted on the Cartesian plane in 2D configuration
16 It has lines of symmetry that are infinite
17 It has 2 hemispheres
18 It can be concentric to other spheres
19 It can be congruent to other spheres
20 It can rotate in any direction on its infinite axes
21 It can roll in any direction
22 It can have a size that is infinite
23 It makes one point of contact on a flat surface like a circle to a tangent
24 It is subject to gravitational forces
25 It is claimed that your fortune can be read from it via a crystal ball
When do you use mean median mode?
Mean would be used in such a situation, when you have to use all the values in the data and median is used in such a situation that you have to use only two values i.e upper and lower values and Mode is used when your data is unobservable like if you want to find the opinion of people.
for more information see related link below
Assume you want to know what is the formula of the gradient of the function in multivariable calculus.
Let F be a scalar field function in n-dimension. Then, the gradient of a function is:
∇F = <fx1 , fx2, ... , fxn>
In the 3-dimensional Cartesian space:
∇F = <fx, fy, fz>
How can maths be used to determine the reading difficulty of a book?
One way to determine the reading level of a book is to count the number of words, and identify the percentage of , for instance, 4 syllable words, 3 syllable words, and 2 syllable words. The higher the percentage of multisyllable words, the more reading difficulty.
Why a unit vector is aone type of vector but a vector is not a unit vector?
A unit vector is a vector whose magnitude is one. Vectors can have magnitudes that are bigger or smaller than one so they would not be unit vectors.
How far can computers really predict?
That will vary depending on the real world system being simulated to make the prediction.
Some real world systems are deterministic and simplemaking it easy to make good long term predictions, other systems are perturbed in unpredictable ways making prediction impossible, many real world systems (e.g. the weather) are deterministic but chaotic (i.e. they are very sensitive to undetectably small differences in initial conditions) making them predictable until these tiny differences accumulate to large differences.
For these reasons it is hard to give any simple answer to your question.
What does summation of infinite series?
The summation of a geometric series to infinity is equal to
a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.
