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1 rewrite every cat drinks beer as an implication2 challenge come up with two examples of mathematical statements and
1 draw a visual representation of the set 123times452 make a venn diagram that represents 123456cap4567893 let p
1 model this situation as a graph what do the vertices represent fill in the blank two vertices are adjacent if and
generalize the party to having 2n guests each of whom is friends with at least n other guests describe your graphical
there is at least one bipartite graph pictured in section 33 identify one is it complete1 draw k7 c8 and p102 draw two
trees are the focus of this problema draw a tree that has nine vertices and label the verticesb redraw the tree so that
do you believe that all ducks are grey many students claim that they have seen white ducks but section 45 proves that
consider a cube and make a graph from it by assigning a vertex to each corner of the cube and an edge to each edge of
1 let s s1s2sn how many functions are there with domain s and target z2 of those functions how many are one-to-one how
1 let sim be defined so that a sim b exactly when a middot b is divisible by 3 is this an equivalence relation if not
create a plaintext message and encrypt it using a vigenere cipher either the standard sort or vigeneres original cipher
1 create a plaintext message and encrypt it using a shift cipher copy the ciphertext onto a separate piece of paper and
1 before proceeding review the formal definition of congruence modulo na prove directly that if a equiv b mod n and c
1 encrypt the message purple cow using atbash2 decrypt the message hgirkvw xzg which was encrypted using atbash3
1 encrypt the message lemon drops using a caesar cipher2 decrypt the message pvaanzba ohaf using rot133 encrypt the
1 draw three overlapping circles color the resulting regions using two colors so that no two regions that share a curve
1 on the other hand what if we wanted to place nine 4s onto a sudoku board without reusing rows or columns again we
1 you receive a shipment of 36 legs for stools to go with the stock of mass manufactured stool seats you already have
1 how many of the 24 desks are in each row if there are four rows eight rows three rows two rows2 how many
you have probably noticed some left-right symmetry in the triangular array if not go notice it now using choice
challenge write actual code in an actual programming language that a encrypts a message using a shift cipher of 12
challenge understand the algorithm for russian multiplication given in example 5210a execute the algorithm using a 12
the company charmed im sure makes bracelets each bracelet has four charms apple banana cherry and fig or abcf for short
1 is set containment sub an equivalence relation2 decrypt the message q kiv pih kpmmhjczomz which was encrypted using a
1 is 2123 modulo 6 explain2 write an algorithm that counts to 18 by twos3 prove using only the definition of congruence