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0:05:20
Proving the Minkowski Inequality
0:02:26
a/b=ac/bc
0:03:54
Evaluating a Proof of ''1=2''
0:18:11
Proving the Cauchy-Schwartz Inequality
0:08:13
Prove by PMI that for every Natural Number n, 1+2+...+n=n(n+1)/2
0:05:11
Properties of Finite Sums.
0:12:16
Show that it is Impossible to define a Total Ordering on the set of Complex Numbers.
0:06:38
SOA Exam P Problem 6
0:02:37
Prove that x^3+y^3=(x+y)(x^2-xy+y^2)
0:04:46
SOA Exam P Problem 5
0:04:13
Proof of Change of Base Formula for Logarithms
0:02:45
Introduction to Limits of Logarithms
0:04:19
De Morgan's Laws for Families of Sets
0:04:50
Solve for x: log_2(x-6)+log_2(x-4)-log_2x=2
0:02:09
Solve for x: 2|lnx|-6=0
0:02:40
Each set within a family of sets is a subset of that union of the sets within the family of sets.
0:03:42
Proving that the Intersection of Sets within a Family of Sets is a Subset of each Set in the Family.
0:04:52
Proving that AX(B intersection C)=(AXB) intersection (AXC).
0:06:43
Proving a nice property for the cross product of sets.
0:01:26
Prove that for any set A, AX(emptyset)=emptyset.
0:05:08
Prove that AX(B union C)=(AXB) union (AXC).
0:02:44
Prove the other De Morgan's Law for Sets.
0:05:01
Nice Proof of an alternate formula for the area of a triangle.
0:08:35
Nice Proof involving areas of triangles.
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