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Brent | The Math Less Traveled
https://mathlesstraveled.com/author/byorgey
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Assistant Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus. Post without words #10. August 26, 2016. August 26, 2016. Factorization diagram card redesign: feedback welcome! August 24, 2016. Post without words #9. August 14, 2016. August 14, 2016. Post without words #8. August 12, 2016. Post without words #7. July 18, 2016. July 18, 2016. What'...
Appendices | The Math Less Traveled
https://mathlesstraveled.com/appendices
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Here be the Appendices, repositories of general mathematical information and exposition that didn’t fit in one of my posts for one reason or another. I expect that in time there will come to be quite a bit of information contained here, of a more general nature than my freewheeling blog posts. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). Follow Blog via Email.
The Math Less Traveled | Explorations in mathematical beauty | Page 2
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The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Newer posts →. June 12, 2016. I recently learned about a really interesting sequence of integers, called the. In the Online Encyclopedia of Integer Sequences. It is very simple to define, but the resulting complexity shows how powerful self-reference is (for both good and evil). Here’s the definition. The first term of the sequence is. We would have the triangular numbers:. Is one more than. It will be so if. So it must be.
Complex Numbers | The Math Less Traveled
https://mathlesstraveled.com/appendices/complex-numbers
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Like many stories, the story of complex numbers begins with a lie. A lie which you were told many years ago, by your math teachers, no less. (On behalf of all math teachers everywhere, I sincerely apologize.) And the lie was this: you can’t find the square root of a negative number. Well, OK, it’s not. A lie It just depends on your point of view. New sort of number. So, we define the. To be the square root of negative one:.
Sigma Notation | The Math Less Traveled
https://mathlesstraveled.com/appendices/sigma-notation
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Sigma notation provides a way to compactly and precisely express any sum. That is, a sequence of things that are all to be added together. Although it can appear scary if you’ve never seen it before, it’s actually not very difficult. Here’s what a typical expression using sigma notation looks like:. We would read this as “the sum, as k. 8221; In plain English, what this means is that we take every integer value between a.
expectation | The Math Less Traveled
https://mathlesstraveled.com/tag/expectation
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). The birthday candle problem: solution. August 25, 2015. Recall the birthday candle problem I wrote about in a previous post: A birthday cake has lit candles. At each step you pick a number uniformly at random and blow out candles. If any candles remain lit, the process repeats … Continue reading →. The birthday candle problem. August 7, 2015. Follow Blog via Email. Join 377 other followers. Brent's blogging goal.
Factorial! | The Math Less Traveled
https://mathlesstraveled.com/appendices/factorial
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Now and then you might see a number with an exclamation point after it, like this:. No, this is not a very excited number; it’s the factorial function. Factorial”) means to multiply together all the integers from n. Down to 1. So, for example,. The factorial function gets big pretty fast; for example,. About 3.6 million), and. That’s 2.4 quintillion). Notice that factorial has an elegant recursive definition:. I switched ...
The birthday candle problem | The Math Less Traveled
https://mathlesstraveled.com/2015/08/07/the-birthday-candle-problem
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). Mystery curve, animated. Cosmic Call at The Universe of Discourse →. The birthday candle problem. August 7, 2015. After a 1.5-month epic journey. I am finally settling into my new position at Hendrix College. Here’s a fun problem I just heard from my new colleage Mark Goadrich. A birthday cake has. Lit candles. At each step you pick a number. Uniformly at random and blow out. As a function of. If one starts with. Have fun...
probability | The Math Less Traveled
https://mathlesstraveled.com/category/probability
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). February 22, 2016. Over on my other blog I’ve started writing about an interesting but apparently nontrivial problem, which some readers of this blog may find interesting as well. Suppose you have a network of computers with some one-directional wires between them. Each … Continue reading →. The birthday candle problem: solution. August 25, 2015. The birthday candle problem. August 7, 2015. The mathematics of human knots.
birthday | The Math Less Traveled
https://mathlesstraveled.com/tag/birthday
The Math Less Traveled. Explorations in mathematical beauty. About this blog (FAQ). The birthday candle problem: solution. August 25, 2015. Recall the birthday candle problem I wrote about in a previous post: A birthday cake has lit candles. At each step you pick a number uniformly at random and blow out candles. If any candles remain lit, the process repeats … Continue reading →. The birthday candle problem. August 7, 2015. January 10, 2010. Today is my birthday! Follow Blog via Email. Ask Dr. Math.
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Worst Date Venues You Should Avoid. A date is a vital part of a romantic relationship. It can actually determine the brewing relationship. That’s why it is a must to be familiar with some of the worst date venues one should avoid in order to…. Read more →. Silence Is Not Always The Best Solution. Read more →. Should Men Pay On The First Date? We have this unwritten rule that men should pay for the first dates, or even most of the dates. But do men really have to pay on the first date at least?
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