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Questions Asked

UsukiDoll:
@satellite73 need help with something link in comments
 updated 4 days ago
 45 replies
 No Medals Yet
Mathematics

UsukiDoll:
Let \(R\) be a reflexive and transitive relation on a set \(S\). Let \(R^*\) be the dual relation, \((a,b) \in R^*\) if and only if \((b,a) …
 updated 5 days ago
 62 replies
 No Medals Yet
Mathematics

UsukiDoll:
Question: A number is said to be algebraic if it is the root (zero) of a polynomial with integer coefficients. Show that the set of algebrai…
 updated 5 days ago
 87 replies
 2 Medals
Mathematics

UsukiDoll:
Define a product of pairs setting \((a,b) \cdot (c,d) = (ac+bd,ad+bc)\) . Show that this operation is well defined for equivalence classes.
 updated 5 days ago
 50 replies
 No Medals Yet
Mathematics

UsukiDoll:
Refine the relation on a strict poset that is not maximal
…
 updated 29 days ago
 13 replies
 1 Medal
Mathematics

UsukiDoll:
I need to create a poset and subset diagram for S_2 [1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210]. I've tried starting from the middle and …
 updated one month ago
 123 replies
 1 Medal
Mathematics

UsukiDoll:
what is wrong with this proof?
 updated one month ago
 8 replies
 1 Medal
Mathematics

UsukiDoll:
Find the least positive integer with remainders 1, 2, and 3 when divided by 7, 8, and 9 respectively.
 updated one month ago
 113 replies
 No Medals Yet
Mathematics

UsukiDoll:
prove by induction
 updated one month ago
 62 replies
 3 Medals
Mathematics

UsukiDoll:
Suppose the function \(f \rightarrow X \rightarrow Y\) is onto. Prove or disprove that the induced map \(\bar f^{1} \mathcal P \left({Y}\…
 updated one month ago
 32 replies
 2 Medals
Mathematics

UsukiDoll:
Define the relation ~ on \(Z \times (Z \backslash {0})\) by \((a,b)~(c,d) \leftrightarrow ad=bc\). Prove that ~ is an equivalence relation. …
 updated one month ago
 49 replies
 No Medals Yet
Mathematics

UsukiDoll:
Let \(R_1\) and \(R_2\) be equivalence relations on a set \(S\). Prove that \(R_1\) refines \(R_2\) if and only if the partition with respec…
 updated one month ago
 61 replies
 1 Medal
Mathematics

UsukiDoll:
@satellite73 got a question will post in a minute...
 updated one month ago
 103 replies
 1 Medal
Mathematics

UsukiDoll:
@satellite got a question will post the attempts in a minute
 updated one month ago
 6 replies
 3 Medals
Mathematics

UsukiDoll:
Prove that \(f: X \rightarrow Y\) is an injection if and only if the equation \(\bar f^{1}(\bar f)(A)=A\) holds that for all \(A \in P(X)\)…
 updated one month ago
 9 replies
 No Medals Yet
Mathematics

UsukiDoll:
Let \(S \subseteq R\) and let \(f\) and \(g\) be functions from \(S\) into \(S\). Suppose that \(f\) is increasing on \(S\) and \(g\) is dec…
 updated one month ago
 85 replies
 1 Medal
Mathematics

UsukiDoll:
Let \(f: X \rightarrow Y, g: Y \rightarrow Z\) and \(h: Z \rightarrow U\). Prove that for all \(T \in P(U), \bar( h \circ g \circ f)^{1}(T)…
 updated one month ago
 102 replies
 1 Medal
Mathematics

UsukiDoll:
Let \(f: A \rightarrow R\) be defined by \(f(x)=x^39x^2+23x12\), where \(A =[1,3,6]\). Let \(g: B \rightarrow R\) be defined by \(g(x) =x^…
 updated one month ago
 69 replies
 No Medals Yet
Mathematics

UsukiDoll:
Prove by induction that for any n belonging to natural numbers the total number of handshakes that have taken place when n couples are prese…
 updated one month ago
 4 replies
 No Medals Yet
Mathematics

UsukiDoll:
Prove by induction 107^n97^n is divisible by 10.
 updated one month ago
 14 replies
 1 Medal
Mathematics

UsukiDoll:
Prove by induction problem...
 updated one month ago
 38 replies
 3 Medals
Mathematics

UsukiDoll:
Show that if A and B are sets then A\B= A and not B
 updated one month ago
 22 replies
 No Medals Yet
Mathematics

UsukiDoll:
Draw the Venn diagrams for each of these combinations of the sets A, B, and C
 updated one month ago
 17 replies
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Mathematics

UsukiDoll:
Let \(X\) be a set and consider the function, \(\alpha : \mathcal P \left({X}\right) \rightarrow \mathcal P \left({X}\right)\) such that for…
 updated one month ago
 117 replies
 1 Medal
Mathematics

UsukiDoll:
oy .. thread gone.. continuing discussion @wio @iambatman
 updated 2 months ago
 149 replies
 3 Medals
Mathematics

UsukiDoll:
proof problemmz
 updated 2 months ago
 64 replies
 1 Medal
Mathematics

UsukiDoll:
proof problem
 updated 2 months ago
 54 replies
 No Medals Yet
Mathematics

UsukiDoll:
Bernoulli's Inequality  Prove that for all a in R and all n in N if, 1 + a >0, then (1+a)^n greater than or equal to 1 +na
 updated 2 months ago
 96 replies
 1 Medal
Mathematics

UsukiDoll:
h. The statements A+B = C, A + C = B, and B +C = A are equivalent to each other. [Suggestion: Assume that A+B=C. Then "add" (B+C) to both si…
 updated 2 months ago
 8 replies
 No Medals Yet
Mathematics

UsukiDoll:
proof problem  biconditional statement...
 updated 2 months ago
 42 replies
 1 Medal
Mathematics
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