Blogs about: Monday Math
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Monday Math 149
What is the probability that two independently randomly chosen integers are mutually prime (have no common factor greater than 1)? The probability for four random integers? For n integers in general?… more →
Twisted One 151's Weblog
Monday Math
wrote 4 weeks ago: A teacher once taught me back in high school about the LAW OF TRANSITIVE LOGIC. For those of you wh … more →
Math Monday! Stock concentrations
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wrote 6 months ago: This Math Monday happens to be on a tuesday but theme is still concentrations. More specifically … more →
Monday Math 149
wrote 2 years ago: What is the probability that two independently randomly chosen integers are mutually prime (have no … more →
Monday Math 148
wrote 2 years ago: Find . One could integrate over y by using ; however, when you put in the limits, the resulting inte … more →
Monday Math 147
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wrote 2 years ago: Given two non-zero complex numbers z1 and z2 such that , show that the arguments of z1 and z2 differ … more →
Monday Math 146
wrote 2 years ago: Consider two non-zero complex numbers z1 and z2. If the arguments of these two numbers differ by … more →
Monday Math 145
wrote 2 years ago: Here’s a problem I’ve seen in a number of places: Consider a bowl of spaghetti with N st … more →
Happy Thanksgiving…
wrote 2 years ago: …and a blogging note: due to the four-day holiday weekend here in the U.S., The usual Friday and Mon … more →
Monday Math 143
wrote 2 years ago: Find . The presence of the term leads us to attempt a trigonometric substitution of the form or . Fo … more →
Monday Math 142
wrote 2 years ago: Find : 1). Using an infinite series and the Riemann zeta function 2). Using neither infinite series … more →
Monday Math 141
wrote 2 years ago: Let us combine the results from the previous two weeks (here and here). We found that for a regular … more →
Monday Math 140
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wrote 2 years ago: What are the lengths of the diagonals of a regular n-sided polygon with sides of unit length? Consid … more →
Monday Math 139
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wrote 2 years ago: Prove that for positive integers k, m, and n, that . First, we distribute the into the sum: ; next, … more →
Monday Math 138
wrote 2 years ago: Show that . We have three ways to prove this. The first proof is algebraic: we find an explicit expr … more →
Delay…
wrote 2 years ago: Unfortunately, due to some outside factors, there will be no Physics Friday or Monday Math this week … more →
Monday Math 137
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wrote 2 years ago: Let n be the product of three consecutive positive integers. Show that there is an integer s, greate … more →
Monday Math 136
wrote 2 years ago: Here is a very clever geometry proof I once saw. I do not recall where it was I encountered it, but … more →
Monday Math 135
wrote 2 years ago: Suppose we have a three-dimensional scalar field a(r) and three-dimensional solenoidal (divergence-f … more →
Monday Math 134
wrote 2 years ago: Find and . One should first note that the denominator in the first sum is the denominator of the bin … more →
