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Recent questions tagged partial-order

0 votes
2 answers
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If $f(x,y)=x^{3}y+e^{x},$ the partial derivatives, $\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}$ are $3x^{2}y+1, \: x^{3}+1$ $3x^{2}y+e^{x}, \: x^{3}$ $x^{3}y+xe^{x}, \: x^{3}+e^{x}$ $2x^{2}y+\dfrac{e^{x}}{x}$
asked Apr 2, 2020 in Others Lakshman Patel RJIT 73 views
0 votes
2 answers
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0 votes
1 answer
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Let Q denote the set of rational numbers and S = {x | x belongs N ; N; x>=10} Consider the Following POSETs I. (Q ∩ [0, 1], ≤) II. (S, ≤) Which of the above POSETs are well ordered?
asked Jan 26, 2019 in Set Theory & Algebra Badayayash 318 views
1 vote
0 answers
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If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to: $x+y+z$ $1+x+y+z$ $1$ $0$
asked Dec 7, 2018 in Others Arjun 298 views
0 votes
0 answers
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If $w=f(z)=u(x,y)+i \: v(x,y)$ is an analytic function, then $\frac{dw}{dz}$ is: $\frac{ \partial u } {\partial x}- i \frac{ \partial u}{\partial y}$ $\frac{ \partial u } {\partial x}+ i \frac{ \partial v}{\partial y}$ $\frac{ \partial u } {\partial x}- i \frac{ \partial v}{\partial x}$ $\frac{ \partial u } {\partial x}+ i \frac{ \partial u}{\partial y}$
asked Dec 7, 2018 in Others Arjun 673 views
2 votes
0 answers
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The general solution of the partial differential equation $(D^2-D’^2-2D+2D’)Z=0$ where $D= \frac{\partial}{\partial x}$ and $D’=\frac{\partial}{\partial y}$: $f(y+x)+e^{2x}g(y-x)$ $e^{2x} f(y+x)+g(y-x)$ $e^{-2x} f(y+x)+g(y-x)$ $f(y+x)+e^{-2x}g(y-x)$
asked Dec 7, 2018 in Others Arjun 221 views
2 votes
0 answers
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The set of all English words ordered in a dictionary is ________ $A)$ not a poset $B)$ a poset but not totally ordered $C)$ a totally ordered set but not well ordered $D)$ a well ordered set
asked Oct 6, 2018 in Set Theory & Algebra Lakshman Patel RJIT 329 views
0 votes
2 answers
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1 vote
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Which of the following statements is true? $(Z, \leq)$ is not totally ordered The set inclusion relation $\subseteq$ is a partial ordering on the power set of a set S $(Z, \neq)$ is a poset The directed graph is not a partial order
asked Jul 13, 2018 in Discrete Mathematics Pooja Khatri 1.2k views
4 votes
1 answer
15
Is the Poset (Q,Less than or equal to) a well ordered set? Where Q denotes set of all rational numbers and relation R is less than or equal to.
asked Nov 9, 2017 in Set Theory & Algebra Ayush Upadhyaya 282 views
0 votes
0 answers
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Is the dual of TOSET, a TOSET always?
asked Nov 9, 2017 in Set Theory & Algebra Ayush Upadhyaya 156 views
2 votes
2 answers
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Answer please explain the ans. R is antisymmetric then aRb, bRa -> a=b so a-b=0 and 0 is not odd positive then how it is antisymmetric?
asked Aug 11, 2017 in Set Theory & Algebra Dilip Puri 688 views
3 votes
1 answer
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