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Consider the following system of equations in $x, y, z$ :
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Dec 22, 2017
by
randomisation
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1,920
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pyqs
2017
cse
linearalgebra
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Prove that distinct nonzero eigenvectors of a matrix are linearly independent.
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Dec 22, 2017
by
randomisation
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pyqs
2017
cse
linearalgebra
matrices
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Show that the groups $Z_5 \times Z_7$ and $Z_{35}$ are isomorphic.
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Nov 25, 2017
by
randomisation
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pyqs
2017
modernalgebra
groups
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Let $F$ be a field and $F[X]$ denote the ring of polynomials over $F$ in a single variable $X ... $.
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Nov 25, 2017
by
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pyqs
2017
modernalgebra
rings
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Using contour integral method, prove that $\int_{0}^{\infty} \frac{x \sin mx}{a^2 + x^2} dx = \frac{\pi}{2} e^{ma}$.
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Nov 25, 2017
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pyqs
2017
calculus
integration
contourintegration
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Let $f(t) = \int_{0}^{t} [x] dx$. Value of $t$ for continuity and differentiability?
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Nov 25, 2017
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pyqs
2017
calculus
continuity
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Determine all entire functions $f(z)$ such that $0$ is a removable singularity of $f\left( \frac{1}{z} \right)$.
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Nov 25, 2017
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randomisation
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pyqs
2017
complexanalysis
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Find the supremum and the infimum of $\frac{x}{\sin x}$ on the interval $\left (0, \frac{\pi}{2} \right ]$.
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Nov 25, 2017
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randomisation
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pyqs
2017
modernalgebra
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Let $G$ be a group of order $n$. Show that $G$ is isomorphic to a subgroup of the permutation group $S_n$.
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Nov 25, 2017
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pyqs
2017
groups
modernalgebra
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Convergence of sequence: $x_1 = 2$ and $x_{n+1} = \sqrt{x_n+20}$
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Nov 25, 2017
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pyqs
2017
convergence
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Prove that every power series represents an analytic function inside its circle of convergence
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Aug 12, 2017
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pyqs
2016
complexanalysis
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