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Let $Tp(x)=p'(x)$ for $p\in \mathcal P_{10}$. Then which of the following is correct?
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Linear Algebra
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Junky
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33
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net
dec
2016
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Let $f(z) = e^z, g(z) = e^{iz}$ and $S = \{z \in \mathbb C: \mbox{Re }z \in [\pi, \pi] \}$. Then
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Complex Analysis
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19
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net
dec
2014
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Let $\{a_n\}$, $\{b_n\}$ be given bounded sequence of positive real numbers.
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Real Analysis
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Junky
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16
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net
dec
2014
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Let $X$ be a connected subset of real numbers. If every element of $X$ is irrational, then the cardinality of $X$ is
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Real Analysis
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Junky
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14
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net
dec
2014
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Let $A=\{x^2:0<x<1 \}$ and $B=\{x^3:1<x<2 \}$. Which of the following statement is true?
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Real Analysis
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Junky
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18
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net
dec
2014
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For $\lambda \in \mathbb{R}$, consider the boundary value problem $P_\lambda$. Which of the following statement is true?
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Differential Equation
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Junky
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net
dec
2014
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Consider ODE: $\frac{dy}{dx}=f(y),\: x \in \mathbb{R} $ with $y(0)=y(1)=0$ and $f$ satisfies a Lipschitz function.
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Differential Equation
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Junky
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16
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net
dec
2014
+1
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1
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Given a $n\times n$ matrix $B$ defined by $e^B=\sum_{j=0}^\infty \frac{B^j}{j!}$. What is the matrix $e^{p(B)}$?
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Linear Algebra
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Junky
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