So obviously if you go up to 12 you can divide into 3 and 4 much easier than you can if you're decimal . I also went to Reno, Nevada to meet the man who sets the odds for most of the world's slot machines, 'cause most of the world's slot machines come from one company basedin Reno and there's a chief mathematician there whose job it is to make sure that all the maths is correct. And so that's a great way of kind of bringing why maths is relevant
You might also wonder, like, well, is the list exclusive or inclusive? 10 decimal places, it's incredible precision.
The way I describe this is when a number cruncher is in doubt, you know what he or she does? Adds decimals . It makes you feel much better, right? Three decimals , maybe make it five-- delusion of precision.
Adds decimals . It makes you feel much better, right? Three decimals , maybe make it five-- delusion of precision. The second is the delusion that you being objective.
Okay, and now I'm going to define the number Z, and it's going to be... The integer part is going to be a zero, and then I'm going to put a decimal place, and then I'm going to start specifying the digits of this number Z. D1, D2, D3, and so on. And what I'm going to make sure is that the Nth digit after the decimal point of Z is different from the Nth digit of the Nth number on the list.
Okay? So, to specify the Nth digit of Z, I go to the Nth number on the list, R sub N, and I look at its Nth digit after the decimal point. And whatever that digit is, I make sure that my digit is different from it. Okay? And then I want to do something a little bit more, and that is I'm going to make it different in a way that I'm never using the
then 40 and then kids and then I start to, you know, change and maybe at some deeper level we are making a certain set blah blah 15 decimal places long. We can do the math. We then can measure the
interact with in this universe began in an infinite decimal point. That is the birth of the space and time of our universe. We have been expanding ever since. Now, how does something that big ever become that small? Well, it's not
changes in brightness that we are now capable of measuring. So this particular star got fainter. You know, a few numbers in the fourth decimal place. The brightness went down by just this tiny little amount. That tells us we're dealing with a roughly Earth-sized planet. And it repeats it looks like every 10 units or so. And when you look at what
We're smiling. - You used to try and convince me the understanding of the rational number that's commonly known as pi, that is term five decimal places-- - Can I ask you something? - Uh-huh. - Do you ever think about getting married?
Now, with your phone, you're not going to notice if you take a picture in the summer or the winter, but for these very precise measurements at many decimal places, it actually does really matter. And so there's a bunch of things going on here, but sometimes the telescope drifts, or it goes into a safe mode.
nowadays I mean I I come from the time of The Dewy Decimal System and micro fish and all these things where we and and and when we wanted information you had to go to the library and you hope they had the book there because you know
all going to hell in a hand basket and you know that 2% is that's nothing that's decimal dust but one of the things I I think about when I think about all of you is um you've been through what a 9-year bull market nine years uh what were you all doing nine
Mark Twain to George Bernard Shaw uh to let's see Ben Franklin Melville dwey who gave us the Dewey Decimal System Noah Webster of Webster dictionaries president Teddy Roosevelt Andrew carnegi the Great philanthropist uh and on and on this list goes one of my favorites really two favorites Samuel Johnson who
But now it follows that Z is not on the list because Z is different from R1 because, well, the first digit after the decimal point of Z is different from the first digit of R1 after the decimal point. That's exactly how we built it. And the second digit of Z is different from the second digit of R2 and so on. The Nth digit of Z is different
The market determines the price that it will pay. And you can tell a decimal point from a scale, which is all very clever.
some pretty serious algorithm in math and a lot of decimal points um and some of these microcontrollers can't handle that many Precision decimal points sometimes so if you get machines like this you probably want the best uh chip possible to run it because you have a lot of resol uh a lot
shout out normally I might shout out less a small audience how much do you think but I'm going to get like the exact uh answer to like five decimal places if I did it here so let's just carry on so the interesting thing about this is obviously kind of some kind of interesting answer so let us solve it together um I don't know if you remember
50 is a lot of decimal places.
And there's a whole Dewey Decimal system of how we track these things, of what the expression is doing.
And these are stacked rings for each decimal , for each position.
So if you want the millionth decimal place of pi, you just adjust the tap, and the millionth decimal place drips out.
than enough. So it's amazing to think that something could get you, could calculate within seconds complicated sums of five decimal places 120 years ago. There's also this the Halden Calculex and I actually brought on which is a sort of debonair person's slide rule which you'd have maybe like this like a kind of pocket watch and
library and go through the Dewey Decimal System and go through a bunch of cards and touch a bunch of books physically to
a little bit foggy on their dividing decimals or negative numbers.
It's different from the first number in the first decimal place, different from the second number in the second decimal place and so on down the line.
then 40 and then kids and then I start to, you know, change and maybe at some deeper level we are making a certain set Our prediction is borne out by our observations to 15 decimal places. I
We can make predictions that have been tested to 12 decimal places of accuracy.
So the mass of the machinery is just replicating the decimal places.
I could be the first girl to master the Dewey Decimal System.
there's never a spot where the resolution is the same throughout the platform and to make that happen take some pretty serious algorithm in math and a lot of decimal points um and some of these microcontrollers can't handle that many Precision decimal points sometimes so if you get machines like this you probably
tell on this one but it creates like really weird like patterns in your object uh just because it's Pro it's a a lot of it to do with the rounding of decimal points in the algorithms like you you can't do it's just really hard and these processors can't do that huge of uh calculations for that so that's another way of uh doing the X Y and Z
So each of these columns represent a number with 50 decimal places.
And he could've just dripped the 40,000 decimal place, except the spigot algorithm only works in hexadecimal, which is not
the interpolation coefficients for the arctangent to the accuracy of 23 decimal places within in a week." Pretty simple project, right?
and 300 concubines I'm guessing we may have a decimal point issue there but
Some of these kids don't know how to add decimals .
put a decimal place, and then I'm going to start specifying the digits of this number Z. D1, D2, D3, and so on. And what I'm going to make sure is that the Nth digit after the decimal point of Z is different from the Nth digit of the Nth number on the list. Okay? So, to specify the Nth digit of Z, I go to the Nth number on the list, R sub N, and I look at its Nth
At the time, the Dewey Decimal System was the main way that people found information.
And the way it is set up is each accumulators source 10-decimal digits.
And I also want to draw your attention to the scale here. Remember the last one, it was like four decimal places? This one drop in brightness here is only about a percent.
I don't know if people still remember-- there's the Dewey Decimal system of numbering books based on the topic.
It should be negative 0.36, because the decimal points are easy to lose, right?
and maybe they all cancel but that cancellation would have to be good to 100 decimal
of dollars. But could we really specify it to six or seven decimal places?
On a number card, you'd have 10 little levers for 50 decimal places.
Based on this theory, you can make predictions and compare them with observations to 14 decimal places, which you can't do in any other area of science where fundamental predictions
That comes right out of my pocket, and that free poster has decimal equivalents because that's where this stuff was meant to work.
So each little gear has a number from one to 10, its decimal , on it.
to struggle once you put in all those gears, but it's just decimal places.