Not sure why everyone is surprised.
Ah, and a year is pi*10e9 seconds (IIRC)
Not sure why everyone is surprised.
Ah, and a year is pi*10e9 seconds (IIRC)
- Posted by the quantum gang
Don’t believe those mathematicians when they tell you that `i` is “imaginary”.
sqrt(-1) should have been called w, for "weird".
Hysterical, especially for the fact that he quotes 'two' and 'three' in the sentence itself.
One and Done!
As an example, there are languages where prenominal genitives are impossible (0).
Then, there are languages, such as German, where only one prenominal genitive is possible (1):
> Annas Haus
> *Annas Hunds Haus
Finally, there are languages, such as English, where an infinite number of prenominal genitives are possible (infinity).
> Anna's house
> Anna's dog's house
> Anna's mother's dog's house
> Anna's mother's sister's ... dog's house
But there are no languages where only two or three prenominal genitives are possible.
This property is taken to be part of Universal Grammar, i.e. the genetic/biological/mental system that makes human language possible.
> Anna's mother's sister's dog's house
> Das Haus des Hundes der Schwester der Mutter von Anna.
It's difficult to parse though. We only get to know about Anna at the end of the sentence. Consequently, we avoid such sentences or use workarounds.
> Von Annas Mutters Schwester dem Hund sein Haus.
If you ever use such a construction German speakers will correct your bad language but they will perfectly understand the sentence's meaning.
A quick search brought me to this presentation: https://www.linguistik.hu-berlin.de/de/staff/amyp/downloads/...
The take-away seems to be: "German does not work like English" (slide 8) so be careful when comparing PreGen in German and English.
In middle school physics lessons this makes teachers to hate you (it's their job to ensure that you do not do this), but after that, this has advantages time to time.
.. I remember hearing an anecdote that ancient Greeks did not know that numbers can be dimensionless, and when they tried to solve cubic equations, they always made sure that they add and substract cubic things. E.g. they didn't do x^3 - x, but only things like x^3 - 2*3*x. I don't think this is true (especially since terms can be padded with a bunch of 1s), but maybe it has some truth in it. It is plausible that they thought about numbers different ways than we do now, and they had different soft rules that what they can do with them.
In guess it's a good thing I left physics after my PhD.
On the other hand, 10 e9 = 10 * 10^9.
1) it isn't circular, although just barely (it's an ellipse) 2) the length of the day is not really related to the length of a year, and the second was defined as 1 / (24 * 60 * 60) = 1 / 86400 of the mean solar day length
So this is really just a coincidence, there is no mathematical or physical reason why this relationship (the year being close to an even power of 10 times pi seconds) would exist.
But from the fact that an Earth year happens to be roughly pi*10^7 seconds long, it follows that in 10^7 seconds Earth travels about two radians, or one orbital diameter, and equivalently that the diameter of Earth's orbit is roughly 10^7 seconds times Earth's orbital speed.