888 Answered Questions for the topic discrete math
Discrete Math
02/19/19
What is the 14th term of the arithmetic sequence -2x+8, 4x+2, 10x -4,....
Discrete Math
02/08/19
Fix a natural number n and let a,b,c,d be integers. Please prove that n divides (a-b) and n divides (c-d) then n divides (ac-bd)
Discrete Math
02/01/19
St. Anselm, Archbishop of Cantebury (1033-1109 AD), made the following argument for the existence of God
St. Anselm, Archbishop of Cantebury (1033-1109 AD), made the following argument for the existence of God, as presented by Kenneth Einar Himma (Seattle PacificUniversity) in theInternet Encyclopedia...
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Discrete Math
02/01/19
Rewrite each of these statements so that negations appear only applied to predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives).
¬∃x∀yP(x, y)
¬∀y∀x(P(x, y)∨Q(x, y))
¬(∃x∀y¬P(x, y)∧∀x∀yQ(x, y))
¬∀x(∃y∃zP(x, y, z)∨∃z∀yP(x, y, z))
Discrete Math
02/01/19
Identify the error or errors in this argument that supposedly shows that if ∃xP(x) ∧ ∃xQ(x) is true then ∃x(P(x) ∧ Q(x)) is true.
1.∃x(P(x)∧Q(x)) Premise2.∃xP(x) Simplification from (1)3.P(c) Existential instantiation from (2)4.∃xQ(x) Simplification from (1)5.Q(c) Existential instantiation from (4)6.P(c)∧Q(c) Conjunction from...
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Discrete Math
12/19/18
Geometric Sequence Question
Find the 26th term of the geometric sequence with a5= 5/4 and a12 = 160.
11/05/18
Question on proofs on functions (discrete)
Having trouble figuring out this proof: Let A --> B. Let C, D c E. For any set C, let f(C) = { f(c) | c∈C }.Prove that f(C U D) = f(C) U f(D)
Discrete Math Discrete Mathematics
11/03/18
functions or not and surjective ,injective.
A2:={(x,y)∈R×R:x=y^3} I need to figure out whether it's a function or not and if it's I need to investigate if it's surjective or/and injective .I know ,that functions that give two outputs for a...
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09/30/18
I wanna to know the meaning of this ({a}∪{b})*
determine whether the string aabaa is in each of the following languages ({a}∪{b})* ..
08/12/18
Verify is tautology by using logical equivalence
Verify is tautology by using logical equivalence:((p ∨ q) ∧ (p → r) ∧ (∼ r)) → qby showing what law is using
Discrete Math Set Theory
06/30/18
Set builder notation translation and cardinality
Given the following:S = {(A, B) | A ⊆ {1, 2, . . . , n}, B ⊆ {1, 2, . . . , n}, |A ∩ B| ≥ 1}, how can I translate this in terms of english and how would one go about finding the cardinality of the...
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02/28/18
Is (log(n)^3 big-O of sqrt(n) * log(n)? If so, why?
I am new to this whole Big-O notation. But from what I know, we have in increasing order of growth O(1), O(log(n)), O(n), O(nlogn), O(n^2), O(2^n), O(n!).Using this order of growth, it would seem...
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02/13/18
Simplify using logic of laws, Question "~(~b∧a)∧(b∨a) "
~ mean not
^ mean and
∨ mean or
Help me pls
02/12/18
Prove by Induction question, 2+6+18+...+ 2.3^n-1 = (3^n)-1
Can anyone help me solving this problem, Im really really lost. Thank you
02/12/18
Contradiction prove question, "Prove by contradiction that the difference between any odd integer and any even integer is odd"
How to do this, please help me. Thank you very much!
02/12/18
Direct proof question, "The product of an even integer and an odd integer is even".
I didnt understand
Let say X = 2a +1 while y = 2b+1
Why you need to multiply xy rather x+y, as you can see below:
XY = (2a+1)(2y+1) <- correct
X+Y = 2a+1+2y+1 <- Incorrect
Can you...
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12/05/17
Homework help for discrete
Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is even for...
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Discrete Math Discrete Mathematics
12/05/17
Discrete math Problem!
Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is even for...
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Discrete Math
11/22/17
Write the negation of the compound statement: Alice went to bed or she went to school.
Negation.
11/15/17
Is f one-to-one? Is f onto? Prove or give a counterexample.
Define f(x) : P({a,b,c}) →N as follows:
for all A ∈P({a,b,c}), f(A) = the number of elements in A.
( P is a power set.)
Is f one-to-one? Prove or give a counterexample.
Is f onto? Prove or give...
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Discrete Math
11/14/17
through: (2, −5) and (0, 5)
What is the slope-intercept form of the equation of the line through the given points.
11/08/17
Inverse Functions: Linear, discrete
The one-to-one functions g and h are defined as follows.
g= {(-6,-3), (0,9), (3,0), (6,4), (7,1)}
h(x)= 3x +10
Find the following.
g^-1 (0) = ____
h^-1(x) =____
(h o h^-1) (1) =...
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Discrete Math
11/04/17
Not understanding
3. Use the set {0,1,2, 3} to create three digits numbers, determine the number for which:(1) Even (How many even numbers are there?)(2) Less than 300(3) Greater than 300 4. Suppose a password on a...
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11/02/17
i was wondering if you could solve this problem for me: Show that sup({1-1/n: n element of Natural numbers}) = 1
discrete mathematic
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