Numerical Analysis and Simulation

Parent Category: Math and Arithmetic
The study of algorithms for problems related to continuous mathematics
234=(1)128+(1)64+(1)32+(0)16+(1)8+(0)4+(1)2+(0)1: 11101010 2 0.365 = (0).5 + (1).25 + (0).125 + (1).0625 + ... =0.0101... 2 1.11010100101110101110000101..._2×2 7 (see link)
Let L(t) be the instantaneous average rate of occurrences per unit time, at time t. So, for the ordinary Poisson distribution with parameter L, we just have L(t)=L for all t. Let I be the integral of L(t) dt over a certain time interval [0,T], say. Then, assuming that L(t) is continuous, or maybe...
Expressed as a decimal fraction in its simplest form, 4/10 is equal to 0.4.\n
The geometric distribution is: Pr(X=k) = (1-p) k-1 p for k = 1, 2 , 3 ... A geometric series is a+ ar+ ar 2 , ... or ar+ ar 2 , ... Now the sum of all probability values of k = Pr(X=1) + Pr(X = 2) + Pr(X = 3) ... = p + p 2 +p 3 ... is a geometric series with a = 1 and the value 1...
In numerical analysis finding the roots of an equation requires taking an equation set to 0 and using iteration techniques to get a value for x that solves the equation. The best method to find roots of polynomials is the Newton-Raphson method, please look at the related question for how it works.
x + y + x = 2x + y
Answer . when a probability experiment is repeated a large number of times, the relative frequency probability of an outcome will approach its theoretical probability.
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...
Cos (aX) = 1 + bX, give value of X in terms of a and b. . Practical Problem at site: An arc shape insert- plate of which R was 1250 and D was 625mm and thus S = 2618 (chord length (L)= 2165), has been damaged and flattered. And site staff gives feedback that it is now D = 525 instead of 625 and...
The answer depends on what information you have. Given only one number, all that can be said is that the base is larger than the largest digit appearing in the number. Equations will not help if there are no "carries". For example, For example, 10 + 12 = 22 is true in any base greater than or...
import java.io.*; class kaprekar { public static void main(String args[])throws IOException { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); System.out.println("Enter any number"); int n=Integer.parseInt(br.readLine()); int t=n,count=0; while(n!=0) { n=n...
34.872 rounded and chopped to 1 sig fig is 30. The previous answer 34.8 is wrong, 34.8 is 34.872 chopped to 3 sig figs. Any digit in a number that is not zero is classed as a significant figure e.g. your number above has 5 sig figs but if it was 30.072 it would only have 3 sig figs: 3, 7 and 2....
This is gonna turn into a long answer, please bear with me. If you already know the algorithm's just skip to the examples. Iterative techniques for solving a linear system A x=b, where A is a square matrix with non-zero diagonal entries, start of by first rearranging the system into a form x ...
it is really impossible to get the model question papers but indiastudycentre has certain question papers for the B.Sc degrees, you can check there
A number is divisible by another when the remainder of the division is zero.
A Taylor expansion is a way of representing a function in terms ofa sum of its derivatives. Please see the link.
The probability that 12 randomly selected people from a group of 12 men and 18 women will all be women is (18 in 30) times (17 in 29) times (16 in 28) times (15 in 27) times (14 in 26) times (13 in 25) times (12 in 24) times (11 in 23) times (10 in 22) times (9 in 21) times (8 in 20) times (7 in 19)...
Approximately 7.34847, rounded to 5dp. The square root of any number can be found through the Newton-Raphson and Secant fixed point iteration methods. See links below for more info. 7.3484692
Since the questioner didn't specify which shooting method was being used, I'll explain the linear shooting method. First off, the shooting method is used to solve boundary-value problems, or BVPs, where instead of being given 2 initial conditions to solve a problem, we only have the value of the...
Truncation error is the error introduced when an series is shortened, i.e. "truncated", before it is complete. For instance, 1/3 is 0.333333333...etc., but we place limits on how many decimal digits to use, so that introduces an error. Another example is a large number, such as 2 40 -1. That...
When things expand, it can block certain things out like a machine
If the book is currently available as an online ebook in regards to a class, then one should be capable of downloading it from the virtual library in regards to the school requiring it. Otherwise, a teacher may hand it out on a flash drive at the beginning of class rather than as a download for...
h, being the step size of an algorithm in numerical analysis, is always (b-a)/N where x is in the interval [a, b] and N is the number of iterations in the algorithm.
It is the study of algorithms that use numerical values for the problems of continuous mathematics.
\n \n Normal \n 0 \n 21 \n \n \n false \n false \n false \n \n \n \n \n \n \n \n MicrosoftInternetExplorer4 \n \n \n\n The fundamental =\n1st harmonic is not an overtone! \n\n \n\n Fundamental\nfrequency = 1st harmonic. \n\n 2nd harmonic = 1st\novertone. \n\n 3rd harmonic = 2nd...
Assuming a diameter of 40mm and assuming hexagonal closest packed, 625 balls would fit in a cubic foot. Boeing's website lists passenger volume for 747-400 as 31,285 plus cargo. 5536+835 = 37656 cubic feet An estimate would be the number of balls in a cubic foot times volume = 23.5 million...
I would have thought this blindingly obvious but no matter, a lower percentage error is better because it means your approximation to a solution is closer to the real answer than an approximation with a higher error.
A poisson process is a non-deterministic process where events occur continuously and independently of each other. An example of a poisson process is the radioactive decay of radionuclides. A poisson distribution is a discrete probability distribution that represents the probability of events ...
the Egyptians ----------------------------------------------------------------------------------- To be a little more detailed, the base-10 number system that we use is based simply off of our fingers. We have 10 fingers, and so when civilization was developing the concept of counting, it was...
Unfortunately I can't find any freely available information about the concept/theory/derivation of the Everett formula, I can find the equation fine but none of the theory related to it, and it's not covered in any of my text books that go well beyond my university course where I have also taken all...
#include int main() { double matrix[10][10],a,b, temp[10]; int i, j, k, n; printf("Enter the no of variables: "); scanf("%d", &n); printf("Enter the agumented matrix:\n"); for(i = 0; i < n ; i++){ for(j = 0; j < (n+1); j++){ scanf("%lf", &matrix[i][j]); } } for(i = 0; i < n; i++){ for(j = 0; j < n...
There are 10 digits in our number system. The symbols 0,1,2,3,4,5,6,7,8,and 9 are the digits used to create numbers.
about the distance between the two lines below |..........|
using c language to implement Runge-Kutta method in numerical analysis
The rate of convergance for the bisection method is the same as it is for every other iteration method, please see the related question for more info. The actual specific 'rate' depends entirely on what your iteration equation is and will vary from problem to problem. As for the order of...
The negation of a statement is the opposite proposition to the original statement. Specifically, exactly one of the negation and the original proposition must be true, not both or neither. In mathematical analysis, "for all" quantifiers must be replaced with "existential" quantifiers and visa versa,...
The fact that this number has been on your mind for the past six years is very likely to be a symptom of obsessive compulsive disorder. Please seek professional counseling as soon as possible, for your sake and the sake of those around you (which could be me).
The sum of the series a + ar + ar 2 + ... is a/(1 - r) for |r| < 1
It is quite complicated, and starts before Fourier. Trigonometricseries arose in problems connected with astronomy in the 1750s, andwere tackled by Euler and others. In a different context, theyarose in connection with a vibrating string (e.g. a violin string)and solutions of the wave equation. ...
No, not all adherent points are accumulation points. But all accumulation points are adherent points.
If "Jack" is "Izbj" in a code, then a likely candidate for that code is a trivial "rotate left one position" code. "Mary", in the same code, would be "Lzqx". A=Z, B=A, C=B, etc.
There are several that are especially important: . integers: ..., -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1,2, 3, 4, 5, ... . rational numbers: ie, numbers that can be written as quotientsof integers, such as 1/2, 7/8, etc. . irrational numbers: ie, numbers that cannot be written asquotients of...
the missing space between the 5 and 6. what is so impossible about that? are you just trying to be ironic, funny?
it works exactly the same as it does with linear equations, you don't need to do any differentiation or anything fancy with this method, just have to plug in values of x, so it shouldn't make a difference if the equation is linear or nonlinear.
The number system now in commonest use worldwide is positional.Consider a number such as 924.37. The position of eachdigit in the number indicates how significant it is. The digit 9represents 100s, the 2 10s, the 4 1s, and so on. The Roman number, or 'numeral' system, is non-positional. The...
A harmonic frequency is a multiple of the fundamental. If the frequency is 60Hz, then the 2nd harmonic is (2 * 60) 120 Hz, the third is (3 * 60) 180 Hz, etc.
The probability mass function (pmf, you should know this) of the Poisson distribution is . p(x)=((e -λ )*λ x )/(x!), where x= 0, 1, ........ Then you take the expected value of exp(tx), you should always keep in mind to find the moment generating function (mgf) you must always do (e tx...
Application in String theory in Quantum Mechanics
Answer . I don't know why there should be 4 laws (=axioms) specifically. In mathematics you can choose whatever system of axioms and laws and work your way with those. Even "logic" (propositional calculus) can be redefined in meaningful ways. the most commonly used system is Zermolo-Fraenkel...
You are given a system of n or more simultaneous linear equationsinvolving n unknowns. Pick one of the unknowns, called the pivotvariable. Find an equation in which it appears, called the pivotequation.
actually montecarlo is based on random selection (of cours randamness is expected to be random means to cover tjhe whole interval so the more the better )along the CDF(cumilative distribution function ) to extract the input that expected to keep the original distribution to some degree. in latin...
The Point of Homeschooling . Now that is a good question!. The "point of homeschooling" stems from your worldview. The concept of world view is central to the current firestorms surrounding education because it forms the basis for one's idea of a good life.. It is impossible to talk about...
Convergence of telecommunications
"Convergence in probability" is a technical term in relation to a series of random variables. Not clear whether this was your question though, I suggest providing more context.
Poisson distribution shows the probability of a given number ofevents occurring in a fixed interval of time. Example; if averageof 5 cars are passing through in 1 minute. probability of 4 carspassing can be calculated by using Poisson distribution. Exponential distribution shows the probability of...
In Sri Lanka, there are less facilities than in England, but good behaviour and better rules ,where the children grow up with good manners..
If you mean properties of numbers such as 'six is triangular'and 'seven is prime' then I would offer number theory as ananswer. . If you mean that a certain subset of integers derived from theintegers by taking remainders modulo a prime form a field then Iwould offer abstract algebra. . If you mean...
Quite probably the ancient Babylonians.
There are two digits in the binary number system. 0 and 1