How Math Can Tell You the Day of the Week for Any Date in History
pdMUk16675U • 2016-02-03
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Kind: captions Language: en [Applause] Well, good afternoon ladies and gentlemen. My name is Art Benjamin and I am a math magician. What that means is I combine my loves of math and magic to do something I call mathematics. Does anyone here happen to know the day of the week that they were born on? All right, starting with you. What year were you born? 2004. 2004. And uh what month? May. May. May what? 25th. 25th. Was that a Tuesday? Yes. Yes. Good. Somebody else. What year? Uh 2004. 2004. And what month? August. August what? 17th. 17th. Was that a Tuesday? Do we have any faculty or staff who know the day of the week? Okay, we've got one right here. Uh, what year, if I may? 1970. 1970. And what month? July. July what? 28th. 28th. Was that a Tuesday? What is it with Tuesdays in this [Applause] [Music] state? The short answer is I'm taking information from the year, the month, and the date. I'm getting a number that comes from each of those. I add those three numbers together, and the total tells me the day of the week. So every year gets a code number and the code number for 2015 happens to be four. Next we need a code for every day of the week. And the code numbers for Monday through Sunday are 1 2 3 4 5 6 and Sunday is 7 or zero. And that's real easy to remember because Monday is one day. Tuesday is literally Tuesday. Wednesday, if you put the W on your fingers, that gives you the three. [Music] Finally, we need a code for every month of the year. And the codes for January to December uh go like this. It's not as easy as you'd think. It's 622503514624. And to make it worse, if it's a leap year, the codes for January and February are 5 and 1. Okay. Yeah, I know. Okay. Now, we have everything we need to be able to figure out the day of the week. So, uh, somebody give me their birthday. November 15th. November 15th. 2015. What was the code for November? Two. For the 15th, we add 15. And for 2015, we always add four. Four. And that gives me 21. Now, every 7 days, the week repeats. So, we can subtract any multiple of seven and that won't change the day of the week. So, I'll subtract 21 here, right? Cuz that's the biggest multiple of 7. And 21 - 21 is zero. And nunday is Sunday. Sunday. So your birthday will be on a Sunday. Thank you very much. So cool. Pi. Pi. Mathematical pie. Twice 11 over 7 is a mighty fine try. A good old fraction you may hope to supply, but the decimal expansion won't die. Decimal expansion won't die. Pi pi mathematical pi 3.141592653589. A good old fraction you may hope to define, but the decimal expansion won't die. Thank you. Thank you, genius.
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