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

A truth table has one column for each input variable (for example,P and Q), and one final column showing all of the possible resultsof the logical operation that the table represents (for example, PXOR Q). Each row of the truth table contains one possibleconfiguration of the input variables (for...
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'tmean the normal vector which is orthogonal but outside the plane(in fact, orthogonal to the plane itself)?
If you take 1000 milligrams of distilled water at 0 degreescentigrade, it will measure exactly 1 milliliter. Likewise, 1kilogram of distilled water at 0 degrees centigrade is exactly 1liter. However, for other substances, the answer will differ. It dependson the volume of the substance that weighs...
Inches were a unit of length used by some medeval european countries. An inch is roughly the same as 25.4 mm in modern measurements. So 8.5 of the ancient units is the same as 215.9 mm in the modern world.
It is: 1 foot and 10 inches
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
1,000*1,000 = 1,000,000
As far as I'm aware a PDE can't be solved explicitly because of the nature of the equation. However, you can separate the variables of a PDE essentially turning it into multiple ODEs which then can be solved explicitly. The draw back of this is that most terms in a PDE are a combination of...
Anything divided by 0 is UNDEFINED thus its not possible e.g. x/0 = undefined x= any number
LaplaceTransform [1, t, s] = 1/s
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...
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 andsolve all kinds of problems, in my case i'm a civil engineer and iuse this tool to solve problems in the area of hidraulics, and inthe area of structures. The differencial ecuations have all kindsof uses in the area of engieneering and...
0.001ml assuming the density is 1g/ml. i.e. pure water
Marine biology is a vast discipline incorporating every aspect of biology but with a marine emphasis, this ranges from ecology (which is heavily statistical) to physiology. So in answer to your question, yes it is used, the need however depends on what path you take. . Vector calculus has proved to...
Differentials can be used to approximate a nonlinear function as a linear function. They can be used as a "factory" to quickly find partial derivatives. They can be used to test if a function is smooth.
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...
Error propagation in numerical analysis is just calculating the uncertainty or error of an approximation against the actual value it is trying to approximate. This error is usually shown as either an absolute error, which shows how far away the approximation is as a number value, or as a relative...
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..
a model for multiplication problems, in which the length and width of a rectangle represents the product.
\nI 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.
to calculate the number of possible triangles within a nonagon, one must use combinatorics.. Understand that at first you have to pick the first vertex from 9 points, then the second from eight other possible points, and the third from 7 possible points. And finally that by this process any three...
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
yes because a ratio is a rate so a rate would have to be a ratio
well use your right or left alot and you decide to use the other and your not use to it.
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. === im NT that good on my 7s but on my 2s and 12s i use whats half of dat number for excample if i...
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...
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...
Yes corresponding angles on the transversal line are equal
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25
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 pi x 1...
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...
Yes. For example: A square wave has a Fourier series.
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
F=ma is a special Algebraic Expression - not quite a Mathematical Formula. It reads: Force is equal to Mass times Acceleration. Units: mass is in grams; acceleration is in meters per second squared. This means that Force - is grams times m/sec2 - or Newtons. F=ma refers to Fnet, or the sum of all...
81 pavers (each 16 inches square) would be needed. 12 foot x 12 foot = 144 inches x 144 inches = 20,736 in 2 16 inches x 16 inches = 256 in 2 20,736/256 = 81
Multiply for 0.6. So it is 250x0.6=150.