A textbook of Computer Based Numerical and Statiscal Techniques part 11 pdf
A textbook of Computer Based Numerical and Statiscal Techniques part 11 pdf
... real valued then the complex roots occurs inconjugate pair. Therefore we extract the quadratic factors that are the products of the pairs of 88 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES From ... polynomial equation bepn(x)= a 0xn + a 1xn–1 + a 2xn–2 + a 3xn–3 + + a n–1 x + a n = 0 (1)where a 0≠ 0 and all a i′ s are real.For polynomials, if the coefficients are all real ... of the equation.Sol. Let the quadratic factor of the equation be x2 + px + q. Using Bairstow’s method wefind the values of p and q.First approximation: Let p0 and q0 be the initial approximations,...
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A textbook of Computer Based Numerical and Statiscal Techniques part 12 pdf
... given intermediate or argumentvalues of x, three types of differences are useful:10496 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Now to obtain the values of bi and Ci we use ... roots of cubicequations. The disadvantage of this method is that additional computation is also necessary. Thismethod can be applied to find the complex roots and multiple roots of polynomials and ... polynomials and also fordetermining the Eigen values of a matrix.An important feature of the method is that it gives approximate values of all the rootssimultaneously and this fact enables one to...
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A textbook of Computer Based Numerical and Statiscal Techniques part 24 pdf
... advantage of these formulas is, they can also be used in case of equal intervals butthe formulae for equal intervals cannot be used in case of unequal intervals.5.2 LAGRANGE’S INTERPOLATION FORMULALet ... interpolation have the disadvantages of being applicable only to equally spaced argumentvalues. So it is required to develop interpolation formulae for unequally spaced argument values of x. Therefore, ... 1.4150220 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Example 7. The values of the ellipitc integral ()()/21/220km 1 msin d−=−∫πθθ for certain equidistantvalues of m are given...
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A textbook of Computer Based Numerical and Statiscal Techniques part 44 pdf
... coefficient of correlation? [Ans. 0.4r =]7.x and y are two random variables with the same standard deviation and correlationcoefficient r. Show that the coefficient of correlation between x and ... age of wife is 19.422 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Example 15. For the data given below, find the standard error of estimate of y on x.x12345y25387Sol. We leave ... Similarly, (2) may be proved.424 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES PROBLEM SET 9.21. Find the equation of the lines of regression on the basis of the data::x42342:y23244[Ans....
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A textbook of Computer Based Numerical and Statiscal Techniques part 48 pdf
... causes of variation.There are some advantages, when a manufacturing process is operating in a state of statistical control.1. The important use and advantage of SQC is the control, maintenance and ... It primarily aims at the isolation of the chance and assignable causes of variation and consequently helps in the detection, identification and elimination of the assignable causes of erratic fluctuations ... frequencypolygon.STATISTICAL QUALITY CONTROL461 11. 8 CARTOGRAMSCartograms or statistical maps are used to give quantitative information on a geographicalbasis. Cartograms are simple and elementary forms of...
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A textbook of Computer Based Numerical and Statiscal Techniques part 61 pdf
... METHODStep 1. Start of the program to interpolate the given dataStep 2. Input the value of n (number of terms)Step 3. Input the array ax for data of xStep 4. Input the array ay for data of yStep ... METHOD#include<stdio.h>#include<conio.h>#include<math.h>#include<string.h>#include<process.h>588 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES void main(){int n;int i, j;float ax[10];float ay[10];float h;float p;float x, y;float diff[20][20];float y1, y2, y3, ... 3.4903Enter the value of y7 – 3.6693594 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES float p, q;float x, y = 0;float nr, dr;float diff[20][20];float y1, y2, y3, y4;float py1, py2, py3,...
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A textbook of Computer Based Numerical and Statiscal Techniques part 62 docx
... the RangeLower limit a = 0Upper limit b = 6Enter the number of subintervals = 6Value of the integral is: 1.3571598 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Enter the value of y2 ... ALGORITHM FOR TRAPEZOIDAL RULEStep 1. Start of the program for numerical integrationStep 2. Input the upper and lower limits a and bStep 3. Obtain the number of subinterval by h = (b a) /nStep 4. ... * a) /sum1Step 17. Print output a, b and line a + bx”Step 18. End of the program.qqq COMPUTER PROGRAMMING IN ‘C’ LANGUAGE599scanf(“%f %f”, & ;a, &b);printf(“\n enter the interval...
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A textbook of Computer Based Numerical and Statiscal Techniques part 1 ppt
... This pageintentionally leftblankThis pageintentionally leftblank A TEXTBOOK OF COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Anju Khandelwal M.Sc., Ph.D.Department of MathematicsSRMS ... Based Numerical and Statistical Techniques is primarily writtenaccording to the unified syllabus of Mathematics for B. Tech. II year and M.C .A. I year students of all Engineering colleges affiliated ... affiliated to U.P. Technical University, Lucknow.The subject matter is presented in a very systematic and logical manner. In each chapter, allconcepts, definitions and large number of examples...
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A textbook of Computer Based Numerical and Statiscal Techniques part 2 ppsx
... problems. A majoradvantage for numerical technique is that a numerical answer can be obtained even when a problem has no analytical solution. However, result from numerical analysis is an approximation,in ... significant figures at each step of computation. At each step of computations, retain at least one more significant figurethan that given in the data, perform the last operation, and then round off.3. ... value – Approximate value A computer has a finite word length and so only a fixed number of digits are stored and used during computation. This would mean that even in storing an exact decimal...
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A textbook of Computer Based Numerical and Statiscal Techniques part 3 ppsx
... 50.50100 11 11 (1)12 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Example 20. It is required to obtain the roots of X2 – 2X + log10 2 = 0 to four decimal places. Towhat accuracy should ... 16(0.001) = 0.036Also, Max. Relative Error = =0.0360.0094 (Because Er(max) = δ;uu u = 4 at x = y = z = 1).10 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Therefore, Relative Error, ... 3Hence maximum percentage error (Ep)max = 11. 667%.Example 26. How accurately should the length and time of vibration of a pendulum should bemeasured in order that the computed value of g is...
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