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Recent questions tagged numericalmethods
Numerical Methods:
LU decomposition for systems of linear equations
Numerical solutions of nonlinear algebraic equations by Secant, Bisection and NewtonRaphson Methods
Numerical integration by trapezoidal and Simpson’s rules
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Which books are good to practice linear algebra and calculas?
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Oct 1, 2018
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linearalgebra
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Syllabus:Numerical methods like newton method or bisection method part of syllabus of Gate?
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Sep 15, 2018
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Mathematical Logic
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bts1jimin
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193
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syllabus
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3
#Numerical methodssyllabus
What is the syllabus for Engineering Mathematics  Numerical methods?
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Oct 13, 2017
in
Mathematical Logic
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Swati Rauniyar
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numericalmethods
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4
Virtual Gate Test Series: Numerical Ability  Percentage
A country’s GDP grew by $7.8%$ within a period. During the same period, the country’s percapitaGDP (= ratio of GDP to the total population) increased by $10%.$ During this period, the total population of the country$?$ increased by $4\%$ decreased by $4\%$ increased by $2\%$ decreased by $2\%$
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Jan 19, 2017
in
Numerical Ability
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Purple
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212
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generalaptitude
numericalmethods
percentage
virtualgatetestseries
+1
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5
GATE19881i
Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.
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Dec 10, 2016
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Numerical Methods
by
jothee
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100k
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110
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gate1988
nongate
numericalmethods
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answers
6
GATE198711b
Use Simpson's rule with $h=0.25$ to evaluate $ V= \int_{0}^{1} \frac{1}{1+x} dx$ correct to three decimal places.
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Nov 15, 2016
in
Numerical Methods
by
makhdoom ghaya
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29.7k
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209
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gate1987
nongate
numericalmethods
simpsonsrule
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GATE198711a
Given $f(300)=2,4771; f(304) = 2.4829; f(305) = 2.4843$ and $f(307) = 2.4871$ find $f(301)$ using Lagrange's interpolation formula.
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Nov 15, 2016
in
Numerical Methods
by
makhdoom ghaya
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gate1987
nongate
numericalmethods
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GATE19871xxv
Which of the following statements is true in respect of the convergence of the NewtonRephson procedure? It converges always under all circumstances. It does not converge to a tool where the second differential coefficient changes sign. It does not converge to a root where the second differential coefficient vanishes. None of the above.
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Nov 9, 2016
in
Numerical Methods
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makhdoom ghaya
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gate1987
numericalmethods
nongate
newtonraphson
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votes
0
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9
GATE19871xxiv
The simplex method is so named because It is simple. It is based on the theory of algebraic complexes. The simple pendulum works on this method. No one thought of a better name.
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Nov 9, 2016
in
Numerical Methods
by
makhdoom ghaya
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29.7k
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167
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gate1987
numericalmethods
simplexmethod
nongate
+3
votes
2
answers
10
ISRO200951
The formula $P_k = y_0 + k \triangledown y_0+ \frac{k(k+1)}{2} \triangledown ^2 y_0 + \dots + \frac{k \dots (k+n1)}{n!} \triangledown ^n y_0$ is Newton's backward formula Gauss forward formula Gauss backward formula Stirling's formula
asked
Jun 15, 2016
in
Numerical Methods
by
jothee
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1.1k
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isro2009
numericalmethods
+3
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1
answer
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ISRO200947
The formula $\int\limits_{x0}^{xa} y(n) dx \simeq h/2 (y_0 + 2y_1 + \dots +2y_{n1} + y_n)  h/12 (\triangledown y_n  \triangle y_0)$ $ h/24 (\triangledown ^2 y_n + \triangle ^2 y_0) 19h/720 (\triangledown ^3 y_n  \triangle ^3 y_0) \dots $ is called Simpson rule Trapezoidal rule Romberg's rule Gregory's formula
asked
Jun 15, 2016
in
Numerical Methods
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jothee
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isro2009
numericalmethods
nongate
+7
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1
answer
12
ISRO200944
A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which $f(x_0) > 0$ $f (x_0) f''(x_0) > 0$ $f(x_0) f'' (x_0) < 0$ $f''(x_0) >0$
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Jun 3, 2016
in
Numerical Methods
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Desert_Warrior
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isro2009
numericalmethods
+3
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2
answers
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ISRO201348
The GuassSeidal iterative method can be used to solve which of the following sets? Linear algebraic equations Linear and nonlinear algebraic equations Linear differential equations Linear and nonlinear differential equations
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Apr 29, 2016
in
Numerical Methods
by
makhdoom ghaya
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1.5k
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isro2013
numericalmethods
guassseidaliterativemethod
+1
vote
2
answers
14
GATE2015 EC1: GA5
If $\log_{x}{(\frac{5}{7})}=\frac{1}{3},$ then the value of $x$ is $343/125$ $25/343$ $25/49$ $49/25$
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Feb 12, 2016
in
Numerical Ability
by
Akash Kanase
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41.2k
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1.9k
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gate2015ec1
generalaptitude
numericalmethods
logarithms
+11
votes
3
answers
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GATE2015350
The velocity $v$ (in kilometer/minute) of a motorbike which starts form rest, is given at fixed intervals of time $t$ (in minutes) as follows: t 2 4 6 8 10 12 14 16 18 20 v 10 18 25 29 32 20 11 5 2 0 The approximate distance (in kilometers) rounded to two places of decimals covered in 20 minutes using Simpson's $1/3^{rd}$ rule is ________.
asked
Feb 16, 2015
in
Numerical Methods
by
jothee
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100k
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1.3k
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gate20153
numericalmethods
simpsonsrule
normal
numericalanswers
+7
votes
2
answers
16
GATE2015239
The secant method is used to find the root of an equation $f(x)=0$. It is started from two distinct estimates $x_a$ and $x_b$ for the root. It is an iterative procedure involving linear interpolation to a root. The iteration stops if $f(x_b)$ is very small and then $x_b$ is the solution. ... $x_b  (x_bx_a) f_b / (f_bf(x_a)) $ $x_a  (x_bx_a) f_a / (f_bf(x_a)) $
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Feb 13, 2015
in
Numerical Methods
by
jothee
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100k
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gate20152
numericalmethods
secantmethod
normal
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votes
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17
calculus
The estimate of $\int_{0.5}^{1.5}\frac{dx}{x}$ obtained using Simpson’s rule with threepoint function evaluation exceeds the exact value by (A) 0.235 (B) 0.068 (C) 0.024 (D) 0.012
asked
Jan 30, 2015
in
Numerical Methods
by
Nisha kumari
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317
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233
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numericalmethods
simpsonsrule
nongate
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0
answers
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2012 numerical methed
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Jan 29, 2015
in
Numerical Methods
by
Nisha kumari
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317
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108
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numericalmethods
outofsyllabusnow
nongate
+1
vote
1
answer
19
GATE2005IT2
If the trapezoidal method is used to evaluate the integral obtained $\int_{0}^{1} x^2dx$, then the value obtained is always > (1/3) is always < (1/3) is always = (1/3) may be greater or lesser than (1/3)
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Nov 3, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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367
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gate2005it
numericalmethods
trapezoidalrule
normal
+2
votes
2
answers
20
GATE2004IT39
Consider the following iterative root finding methods and convergence properties: Iterative root finding methods Convergence properties Q. False Position I. Order of convergence = 1.62 R. Newton Raphson II. Order of convergence = 2 S. Secant III. Order of convergence = 1 with guarantee of convergence T. Successive ... , RII, SI, TIV QII, RI, SIV, TIII QI, RIV, SII, TIII
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Nov 2, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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252
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gate2004it
numericalmethods
normal
+2
votes
1
answer
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GATE2004IT38
If f(l) = 2, f(2) = 4 and f(4) = 16, what is the value of f(3) using Lagrange's interpolation formula? 8 8(1/3) 8(2/3) 9
asked
Nov 2, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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306
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gate2004it
numericalmethods
lagrangesinterpolation
normal
0
votes
1
answer
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GATE2006IT77
$x + y/2 = 9$ $3x + y = 10$ What can be said about the GaussSiedel iterative method for solving the above set of linear equations? it will converge It will diverse It will neither converge nor diverse It is not applicable
asked
Nov 1, 2014
in
Linear Algebra
by
Ishrat Jahan
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16.3k
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578
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gate2006it
linearalgebra
normal
numericalmethods
nongate
0
votes
1
answer
23
GATE2006IT76
x + y/2 = 9 3x + y = 10 The value of the Frobenius norm for the above system of equations is $0.5$ $0.75$ $1.5$ $2.0$
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Nov 1, 2014
in
Linear Algebra
by
Ishrat Jahan
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16.3k
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585
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gate2006it
linearalgebra
normal
numericalmethods
nongate
+6
votes
2
answers
24
GATE2006IT28
The following definite integral evaluates to $\int_{\infty}^{0} e^ {\left(\frac{x^2}{20} \right )}dx$ $\frac{1}{2}$ $\pi \sqrt{10}$ $\sqrt{10}$ $\pi$
asked
Oct 31, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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928
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gate2006it
numericalmethods
normal
nongate
0
votes
2
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GATE2006IT27
Match the following iterative methods for solving algebraic equations and their orders of convergence. Method Order of Convergence 1. Bisection P. 2 or more 2. NewtonRaphson Q. 1.62 3. Secant R. 1 4. Regula falsi S. 1 bit per iteration IR, IIS, IIIP, IVQ IS, IIR, IIIQ, IVP IS, IIQ, IIIR, IVP IS, IIP, IIIQ, IVR
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Oct 31, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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249
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gate2006it
numericalmethods
normal
+4
votes
1
answer
26
GATE2007IT77
Consider the sequence $\left \langle x_n \right \rangle,\; n \geq 0$ defined by the recurrence relation $x_{n + 1} = c \cdot (x_n)^2  2$, where $c > 0$. For which of the following values of $c$, does there exist a nonempty open interval $(a, b)$ such that the sequence $x_n$ ... $0.25$ $0.35$ $0.45$ $0.5$ i only i and ii only i, ii and iii only i, ii, iii and iv
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Oct 31, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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569
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gate2007it
numericalmethods
normal
nongate
0
votes
1
answer
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GATE2007IT22
The trapezoidal method is used to evaluate the numerical value of $\int_{0}^{1}e^x dx$. Consider the following values for the step size h. 102 103 104 105 For which of these values of the step size h, is the computed value guaranteed to be correct to ... Assume that there are no roundoff errors in the computation. iv only iii and iv only ii, iii and iv only i, ii, iii and iv
asked
Oct 30, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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421
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gate2007it
numericalmethods
trapezoidalrule
normal
outofsyllabusnow
0
votes
1
answer
28
GATE2008IT30
Consider the function f(x) = x2  2x  1. Suppose an execution of the NewtonRaphson method to find a zero of f(x) starts with an approximation x0 = 2 of x. What is the value of x2, the approximation of x that algorithm produces after two iterations, rounded to three decimal places? 2.417 2.419 2.423 2.425
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Oct 28, 2014
in
IS&Software Engineering
by
Ishrat Jahan
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16.3k
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241
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gate2008it
numericalmethods
newtonraphson
normal
+3
votes
2
answers
29
GATE19962.5
NewtonRaphson iteration formula for finding $\sqrt[3]{c}$, where $c > 0$ is $x_{n+1}=\frac{2x_n^3 + \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3  \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 + c}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3  c}{3x_n^2}$
asked
Oct 9, 2014
in
Numerical Methods
by
Kathleen
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52.1k
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400
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gate1996
numericalmethods
newtonraphson
normal
outofsyllabusnow
0
votes
3
answers
30
GATE19952.15
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is $x_{k+1} = 3(x_k+b)/2x_k$ $x_{k+1} = (x_{k}^2+b)/2x_k$ $x_{k+1} = x_k2x_k/\left(x^2_k+b\right)$ None of the above
asked
Oct 8, 2014
in
Numerical Methods
by
Kathleen
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52.1k
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508
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gate1995
numericalmethods
newtonraphson
normal
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