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Recent questions tagged partial-order

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NIELIT 2016 MAR Scientist C - Section B: 5
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^{...
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NIELIT 2017 July Scientist B (IT) - Section B: 16
A partial ordered relation is transitive, reflexive andantisymmetricbisymmetricantireflexiveasymmetric
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NIELIT 2017 July Scientist B (IT) - Section B: 17
​ Let $N=\{1,2,3,\dots\}$ be ordered by divisibility, which of the following subset is totally ordered?$(2,6,24)$$(3,5,15)$$(2,9,16)$$(4,15,30)$
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Hasse Doubt
what is the least upper bound of {a, b, c}?
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POSET self doubt
What is dual of a POSET?
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MadeEasy Test Series: Set Thoery & Algebra - Partial Order
Let Q denote the set of rational numbers and S = {x | x belongs N ; N; x>=10}Consider the Following POSETsI. (Q ∩ [0, 1], ≤)II. (S, ≤)Which of the above POSETs are well o...
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NIELIT 2018-19
If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to:$x+y+z$$1+x+...
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NIELIT 2018-23
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 } {...
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NIELIT 2018-25
The general solution of the partial differential equation $(D^2-D’^2-2D+2D’)Z=0$ where $D= \frac{\partial}{\partial x}$ and $D’=\frac{\partial}{\partial y}$:$f(y+x)+e^{2x...
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Partial and Total Order
The set of all English words ordered in a dictionary is ________$A)$ not a poset$B)$ a poset but not totally ordered$C)$ a totally ordered set but not well ordered$D)$ a ...
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Partial ordering relation
Consider the following system of sets and operations an them:$(1)(Z,\geq ),$ where $'Z'$ is the set of an integer$(2) (Z^{+},1),$where $'1'$ is the divisibility relation$...
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Test Series
Is 1 a lattice?Which of the following Hasse diagrams does not represent a lattice?2)3)
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UGC NET CSE | July 2018 | Part 2 | Question: 90
Which of the following statements is true?$(Z, \leq)$ is not totally orderedThe set inclusion relation $\subseteq$ is a partial ordering on the power set of a set S$(Z, \...
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Kenneth Rosen Edition 6th Exercise 7.6 Example 21 (Page No. 519 )
How is this a lattice?
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Ace Test series: Set Theory & Algebra - Partial Order
L={d,g,h,0}R={f,i,h,0}Am I doing it Correct?
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Self-Doubt
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.
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Kenneth Rosen Ex 7.6
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Self Doubt
Is the dual of TOSET, a TOSET always?
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Set Relation
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?
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Relation and Partial order
Is (S, R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people,if a is not taller than b?
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Test by Bikram | Mathematics | Test 2 | Question: 22
Which one of the following is a Partial Order Relation ?Refer the Partial Order Diagram above.b and ca and ba and cc only
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Test by Bikram | Mock GATE | Test 3 | Question: 20
The maximum length of cycles in a digraph of partial order on $G$ having $p$ elements is _______: $p$ $p^{-1}$ $1$ $2^{p}$
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Test by Bikram | Mock GATE | Test 1 | Question: 3
Consider the Hasse diagram $D_1$ and $D_2$ as follows:$D_1:$ The Hasse diagram for the partial ordering $\left \{ \langle a, b \rangle \mid a \mod \: b=0 \right \}$ on th...
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UGC NET CSE | December 2010 | Part 2 | Question: 3
A partially ordered set is said to be a lattice if every two elements in the set haveA unique least upper boundA unique greatest lower boundBoth $(A)$ and $(B)$None of th...
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GATE Overflow | Mathematics | Test 1 | Question: 5
Let $X = \{2,3,6,12,24\}$ and $£$ be the partial order defined by $X £ Y$ if $x$ divides $y$. Number of edges in the Hasse diagram of $(X,&po...
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Discrete Mathematics question
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