Recent content by Supierreious

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    Discrete Mathematics : Functions and Relations : Question 2c

    I double checked the graph values - and i think that the scale is just right, however y will be 7 when x = 0 :X Y -10 507 -9 412 -8 327 -7 252 -6 187 -5 132 -4 87 -3 52 -2 27 -1 12 0 7 1 12 2 27 3 52 4 87 5 132 6 187 7 252 8 327 9 412 10 507
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    Discrete Mathematics : Functions and Relations : Question 2c

    I see ( i think i see.. :) So i took away the y, which i cannot really do. but after a cup of coffee I saw. so let me do the next step again : y = 5x2 + 7 y - 7 = 5x2 y-7 ---- = x2 5 So y cannot be a couple of things : a) it cannot be less than 7 b) it must be...
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    Discrete Mathematics : Functions and Relations : Question 2c

    Sheez, i am still struggling a bit I have attached the graph, however , if i go into a minus, it still gives positive values ( this graph was done on excel). Further to this i did some more reading, and found something else which confuses me a bit more :) Let me share this with you ...
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    Discrete Mathematics : Functions and Relations : Question 2c

    Thanks for your quick reply, I appreciate your assistance. i am quickly reading your reply. And thank you once again for the assistance, you are seriously helping me an insane amount here.
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    Discrete Mathematics : Functions and Relations : Question 2c

    Ok, so i have miscalculated this by far : Incorrect values : -------2. The function to use is : (x;y) ∊ g iff y = 5x2 + 7 g(1) = 5(1)2 + 7 = 32 g(2) = 5(2)2 + 7 = 107 g(3) = 5(3)2 + 7 = 232 Rewriting the (x;y) in each of the above examples : (1;32) (2;107) (3;232) ------- Correct Values...
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    Discrete Mathematics : Functions and Relations : Question 2c

    Sorry, i see now, i am fixing this immediately.
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    Discrete Mathematics : Functions and Relations : Question 2c

    Homework Statement c) Is 'g' a surjective function (onto) ? Justify your answer. Homework Equations Let 'f' be a relation on ℤ (the set of integers) , defined by the entrance requirement : (x;y) ∊ ƒ iff y = x + 15 and let 'g' be the function on ℤ defined by the...
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    Discrete Mathematics : Functions and Relations : Question 2

    Thanks for the feedback on this, extremely helpful. Continuing on the same question, the next sub question on this is the following : b) Is 'f' injective (one-to-one) ? Justify your answer. Calculations : _______________ Injective : When there are two sets, set A and set B, all...
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    Discrete Mathematics : Functions and Relations : Question 2

    Homework Statement Determine the dom(g) Homework Equations Let 'f' be a relation on ℤ (the set of integers) , defined by the entrance requirement : (x;y) ∊ ƒ iff y = x + 15 and let 'g' be the function on ℤ defined by the entrance requirement : (x;y)...
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    Discrete Mathematics : Proof : Question 1

    Who, Ehild, thanks a lot for your assistance, appreciated!
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    Discrete Mathematics : Proof : Question 1

    hi Ehild, Thank you for the feedback, yes i can see the difference, only if a place a value in every field :) The example i used had 'empty fields' - which does not point out the difference. So in the process of answering this one (Correct me if i am wrong) : 1. Draw the venn...
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    Discrete Mathematics : Proof : Question 1

    Ok, i have managed to upload a Venn diagram on these 2. Please let me know why my venn diagram does not reflect the calculation..
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    Discrete Mathematics : Proof : Question 1

    Thanks, =;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=; Left hand : (A-B) ∪ C : (A-B) = = {1;2} - {2;3} = {1;3} (A-B) ∪ C = {1;3} ∪ C = {1;3} ∪ {1;4} = {1;3;4} (A-B) ∪ C = {1;3;4} =;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=;=; should be ...
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    Discrete Mathematics : Proof : Question 1

    Homework Statement Question 1 : a) Use Venn diagrams to determine whether or not, for all subnets A,B and C of a universal set U, (A-B) ∪ C = (A∪C) - (A∩B) b) If the statement appears to hold, give a proof, if not, give a counter example. Homework Equations (A-B) ∪...
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    Discrete Mathematics - Basic Set Theory : Assignment review : Q2

    Hi ... yes, you are correct. I have not heard of 'symmetric differences' before, and had to google it. http://en.wikipedia.org/wiki/Symmetric_difference is what I found. So to me the following is thus the same : + and your sign means the same. what is the international convention ?
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