Doubt in this then comment below...i will explain you..
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Please thumbs up for this solution...thanks..
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a) reflexive..
in this we can check for all elemnts a of R , (a,a) belongs to R or not..
As we see 3+3 = 6 , that does not in A.. so (3,3) not in R ..
So this is not reflexive..
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b) ..
It states that if aRb then bRb or not...
If aRb ..then a+b is in A ...so it is obvious b+a is in A...therefore bRa ..
So this is symmetric ...
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c) .. it states if aRb , and bRc.. then aRc or not....
Here 3R0 and 0R4 ...but (3,4) not in R ...so this is not transitive..
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d) .. this states that if xRy ..then y not related with x ...
But as we do in part b ) .. xRy then yRx also true...
So this is not antisymmetric...
I'm confused on what it means to be each one. I can't seem to get them...
Show your work, please
3. Relations - No Proofs! Determine (no proof needed!) whether each of the following relations R, S, T on the set of real numbers is reflexive, symmetric, antisymmet- ric, and/or transitive. a) x Ry iff 3 - y is positive: reflexive: symmetric: anti-symmetric: transitive: b) xSy iff 2 = 2y: reflexive: symmetric anti-symmetric: transitive: c) Ty iff zy 30: reflexive: symmetric: anti-symmetric transitive:
For each problem, 3 points will be awarded for the quality of your mathematical writing. Some things to keep in mind here: Make the logical structure of your proof is clear. Is it a proof by contradiction? Contra- positive? If your are proving an equivalence, each direction should be clear Use correct, consistent, and appropriate notation. Define all of the variables you are using. » Write legibly Highlight essential equations or parts of the proof by placing them centered on...
I. Let each of R, S, and T be binary relations on N2 as defined here: R-[<m, n EN nis the smallest prime number greater than or equal to m] S -[< m, n> EN* nis the greatest prime number less than or equal to m] (a) Which (if any) of these binary relations is a (unary) function? (b) Which (if any) of these binary relations is an injection? (c) Which (if any) of these binary relations is a surjection?...
I've tried this problem like 4 times and I can't seem to get it
right. Please help!
Chapter 19, Problem 13 Two point charges, +2.60 μC and-7.00 pC, are separated by 1.20 m. what is the electric potential midway between them? Number the tolerance is +/-2% Units
So, I don't know what I'm missing here but I can't seem to be
able to find the charge of capacitor C.
Four capacitors are connected as shown in the figure below. (C-12.0 μΕ) С 3.00 pLF 20.0 uF Ήτ (a) Find the equivalent capacitance between points a and b. 5.91 (b) Calculate the charge on each capacitor, taking AVab 12.0 V 20.0 HF capacitor 70.92 6.00μF capacitor 50.7 3.00 uF capacitor 20.22 capacitor C HC Enter a number. es...
For questions 16-18, what are the equivalence classes. Pls say
how many eqivalence classes are for each.
Thank you in advance, but completed with in the hour would be
greatly apreciated bc I have an exam, and I will obviously like any
completed work. Hope you all have a great day!
Example. Let R-{(a, b) E Z x Ζ : lal-lol}, for era mple: 2R-2) and 4R4 but 43. We see that R is an equivalence relation on Z. First,...
a. A function f: A B is called injective or one-to-one if whenever f (x) f(u) for some z, y A then y. Which of the following functions are injective? In r-y. That is Vr,y E A f()-f(u) each case explain why or why not i. f:Z Z given by f(z) 3 7 ii. f which maps a QUT student number to the last name of the student with that student number. b. Suppose that we have some finite set...
Please help me understand this!! I'm so confused, are these
anwers correct or not? I have no idea where these answers are
coming from I can't figure out how they got them. Are these
correct???? It dosent look like they were marked wrong. Sorry this
is old study material from a previous class, I'm trying to piece it
togther but completeyl lost. Please please please show me how to
solve these transfer functions with very clear steps
the block diagram...
Can you #2 and #3?
6. LESSON 6 (1) Let A be the set of people alive on earth. For each relation defined below, determine if it is an equivalence relation on A. If it is, describe the equivalence classes. If it is not determine which properties of an equivalence relation fail. (a) a Hb a and b are the same age in (in years). (b) a Gb a and b have grandparent in common. 2) Consider the relation S(x,y):x...
I'm looking for solutions to exercises # 1-4. Thanks. If you
can't answer all of them thats fine I'm just confused as to how to
approach these problems as I have never dealt with them before.
asis 1. If & < Eo 19 Convolutions Kurt Otto Friedrich (1901-1982 Otto Friedrich (1901-1982) was born in Germany and passed away he United States. He left Germany for the United States in 1937 and was a or figure in establishing the prestigious Courant...