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Mathematical Analysis

Parent Category: Math and Arithmetic
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.

Subcategories

In a plane, each vector has only one orthogonal vector (well, two,  if you count the negative of one of them). Are you sure you don't  mean the normal vector which is orthogonal but outside the plane  (in fact, orthogonal to the plane itself)?
Step by step guide on how to find a Nash Equilibrium or Equilibria Step 1. Look at the payoff matrix and figure out whose payoff's are whose: Step 2. Figure out Player A's best response to all of player B's actions Step 3. Figure out Player B's best response to all of player A's actions Step 4. A...
Asking what price something is, saying your age, pretty much everything you talk about: how many words you say, how many letters are in that word so forth
Minuend minus Subtrahend equals Difference Minuend - Subtrahend = Difference
Anything divided by 0 is UNDEFINED thus its not possible e.g. x/0 = undefinedx= any number
Serves for the correlation of two situations, for example speed with respect to time, this serves you more for analysis of situation that you can apply to the computer when making a program but it does not directly influence as such
Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit...
To the best of my knowledge, a random sequence limit imposes restrictions on random number generation. For example, one may want to generate random numbers such that any number does not occur consecutively three times. . Another definition of a random sequence limit is the number that a sequence of...
A differential equation is a tool to certains carrers to find and  solve all kinds of problems, in my case i'm a civil engineer and i  use this tool to solve problems in the area of hidraulics, and in  the area of structures. The differencial ecuations have all kinds  of uses in the area of...
you need to go online and find out how
The mathematical theory of stochastic integrals, i.e. integrals where the integrator function is over the path of a stochastic, or random, process. Brownian motion is the classical example of a stochastic process. It is widely used to model the prices of financial assets and is at the basis of Black...
10 - 0 = 10 because any number minus 0 is itself.0/10 = 0  can be rearranged to make more sense:0 = 0*10 (multiply both sides by 10)0 = 0 (logical conclusion)therefore, 0/10 = 0 is true.In fact, this also proves that 0/anything = 0.
    I don't know the exact numbers without using a calculator but they aproach phi, 1.6180339..., if that helps you at all. All sequences that use the formula Xn-1+Xn-2= Xn approach phi.
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
it isn't possible. try it on your calculator cuz it won't work. you can divide 0 into things but you can't divide somthing into 0. or else itz the other way around. 8p
There are 52 cards in a deck and 52 weeks in a year. Some people also think there are 52 states in USA but that isn't true.
Because it is axiometic concept so that it is empty set
we use fourier transform to convert our signal form time domain to frequency domain. This tells us how much a certain frequency is involve in our signal.It also gives us many information that we cannot get from time domain.And we can easily compare signals in frequency domain.
Ex: 321 x 10 first you multiply 0 with the numbers on top Ex: 0 x 321 . 000 and 1 times 321 = 321 but you have to add a 0 and the back Ex: 3210.....then you add 000+3210= 3,210........... That's all. ===
Anyone can use a calculator if you have the understanding of how it works.
Yes. The rule is used to find the limit of functions which are an indeterminate form; that is, the limit would involve either 0/0, infinity/infinity, 0 x infinity, 1 to the power of infinity, zero or infinity to the power of zero, or infinity minus infinity. So while it is not used on all functions,...
The same as the units you started with.
Just count by three ...3, 6, 9, 12 ,15, 18, 21, 24, 27 ... all the way to 99. There are 33 numbers in this list. 100 is not an even multiple of 3.
Swamnarayan bhgwan is my lord
A partial derivative is the derivative in respect to one dimension. You can use the rules and tricks of normal differentiation with partial derivatives if you hold the other variables as constants, but the actual definition is very similar to the definition of a normal derivative. In respect to x,...
1 mile = 5280 feet 1 hour = 3600 seconds so 1 mph = 5280 ft/3600 seconds = 1.466... fps
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...
A round swimming pool is a right circular cylinder, so you can use the formula pi times the radius squared times the height to calculate the volume.
== Answer ==   I'm no pool expert but I can do the basic maths. I'd presume the limiting factor on how much water will pass through a pipe is its cross sectional area, and that these are circular pipes. If so, the area of a 1.5 inch diameter pipe is pi x .75 x .75, and of a 2inch diameter pipe is...
An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial...
In mathematics, in almost all instances, you are not allowed to divide by zero, so the answer would be 'disallowed' or something similar. When you think about division in the most basic sense, it is the act of separating a quantity into a number of groups. So when you try to imagine separating 37...
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
81 pavers (each 16 inches square) would be needed.12 foot x 12 foot = 144 inches x 144 inches = 20,736 in216 inches x 16 inches = 256 in220,736/256 = 81
1, 2, 4, 7, 24 and 28 are all the multiples of 28
The fundamental difference is that in fuzzy set theory permits the  gradual assessment of the membership of elements in a set and this  is described with the aid of a membership function valued in the  real unit interval [0, 1]. Better, the degree of membership of the  elements of a set can take...
Multiply the product of their magnitudes by the cosine of the angle between them.
No, only if both sets are empty. The intersection of disjoint sets is always empty.
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.
Not quite. Division by zero is not recognised as a mathematical process, so your question has in fact no meaning!
The opposite of an inconsistent one   I'm not trying to be a wise guy. It's just easier to give you an example of an inconsistent equation and then tell you that a "self-consistent" one is the opposite. Here's an example of an inconsistent equation: 3x/(x-2) = (4x2 - 8x)/(x2 - 4x + 4) On its...
    A group of numbers in order. Usually, when talking about sequences, people talk about infinite sequences: a sequence that never ends (it has a first number, a second number, and an Nth number for any N, with no last number).     There's no restriction of what the numbers are -...
It is quite complicated, and starts before Fourier. Trigonometric  series arose in problems connected with astronomy in the 1750s, and  were tackled by Euler and others. In a different context, they  arose in connection with a vibrating string (e.g. a violin string)  and solutions of the wave...
The answer is neither. You cannot divide by zero at all.The result of zero divided by zero, as with any other division by zero, is undefined.
We are using integrated circuits inside the CPU. Laplace Transformations helps to find out the current and some criteria for the analysing the circuits... So, in computer field Laplace tranformations plays vital role...
(2 - 1) * 0 = 0 Thus 2 - 1 = 0/0 = 0 and therefore 2 = 1
we can consider all infinite sets as equivlent sets if we go by the the cantor set theory.for eg. on a number line if we consider the nos. between 0 and 1 as a set then they are infinite. similarly the nos. between 0 and 5 can also be considered infinite and if considered as a set then they can be...
I try to study 2 hours daily, One thing I do is a make flash cards. I have them up into a puzzle. I make the meaning in one, and the other half the question to the meaning,.I put them into a brown bag and shake me up. Than I get them out and try to match the question with the answer.I try different...
It means that your not making any sense? Cause you can't divide a number by zero.
x - y = xy differentiating wrt x 1 - (dy/dx) = x(dy/dx) + y (x + 1)(dy/dx) + y + 1 = 0
Yes, because it is a PYRAMID and it has a base that is a SQUARE.
I firmly believe that most brilliant ideas come from people just playing with things. "Hmmm... what happens if I assume that the solution is in this form..."
Answer . If you need step by step instrucions, then you need to purchase a repair manual for your car at most Auto Parts Stores.
Here are two variables Demand and Price, whereas Price is Independent variable & Demand is dependent variable, i.e. if price of something changes the demand will also be affected. Now simple Differential Equation is d (Demand)= constantd (Price)But keep in mind that Price is a function not a...
find Laplace transform? f(t)=sin3t
No, Maxwell's equations are interacting partial differentials.
Differentiation lets you find the rate of change of a function. You can use this to find the maximum or minimum values of a differentiable function, which is useful in a lot of optimization problems. It's also necessary for differential equations, which are useful just about everywhere.
Hermitian matrix defined: If a square matrix, A, is equal to its conjugate transpose, A†, then A is a Hermitian matrix. Notes: 1. The main diagonal elements of a Hermitian matrix must be real. 2. The cross elements of a Hermitian matrix are complex numbers having equal real part values, and...
A fast Fourier transform is an efficient algorithm for working out the discrete Fourier transform - which itself is a Fourier transform on 'discrete' data, such as might be held on a computer. Contrast this to a 'continuous Fourier transform' on, say, a curve. One would need an infinite amount of...
Classical theory is a reference to established theory. Fuzzy set  theory is a reference to theories that are not widely accepted.
A dodecagon has 12 sides
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...
yes, equal sets are equalent
no,because if for example :setA "A,B,C" and setB "D,E,F" they do have the same number of elements ,but they don't have the same elements.
The horizontal axis is the real numbers.
If there is a number that zero is divided by zero then it's anerror. Look on your calculator. If you press in 0 divided by 0 thenthere would be a zero but the is an error on the side. And also anynumber that is divided by zero would be error because ofsomething...I forgot but yeah. And if your...
14 * * * * *No.12 sides.
t is the significance of Z-transform
You are referring to the Schrodinger Equation. This is because it comes from the classical view that the total energy is equal to the hamiltonian of a system:   Kinetic Energy + Potential Energy = Total energy.   Classically the kinetic energy is (1/2)mv2 = p2/(2m) ; where m is mass, v is...
discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.
Actually 0/0 is undefined because there is no logical way to define it. In ordinary mathematics, you cannot divide by zero. The limit of x/x as x approaches 0 exists and equals 1 so you might be tempted to define 0/0 to be 1. However, the limit of x2/x as x approaches 0 is 0, and the limit of x/x2...