259 karma · joined May 25, 2021
------BELOW IS BING'S OUTPUT
This statement is true. If x is a rational number and x raised to the power of an integer is an integer, then x is an integer. This statement is called the rational root theorem. The proof of this theorem is based on the fact that if x is not an integer, then it can be expressed as a fraction p/q where p and q are integers and q ≠ 0. Then, x raised to the power of an integer can be expressed as (p/q)^n which can be simplified to p^n/q^n. Since p^n and q^n are integers, p^n/q^n is a rational number. If x raised to the power of an integer is an integer, then q^n must divide p^n. Since p and q are relatively prime, this implies that q = 1. Therefore, x is an integer.
def fib(0), do: 0
def fib(1), do: 1
def fib(n), do: fib(n - 1) + fib(n - 2)
endThe mistake in your proof is that you considered the shape of the log function while implicitly holding m on the left-hand-side constant (i.e. you should have concluded "for a constant m", there is only 1 n satisfying this equality"). However, since m is variable, you have to consider an infinite number of log functions. If I missed something, let me know.
https://wiki.archlinux.org/title/Dotfile
USER
Write a G major ionian scale with three notes per string in guitar tablature notation. If not possible, tell me.
ASSISTANT
It is possible to write a G major Ionian scale with three notes per string in guitar tablature notation. Here's one way to do it:
```
E|-------------------------------------------------7-8-10-
B|--------------------------------------7-8-10-----------
G|-----------------------------4-5-7---------------------
D|-----------------4-5-7----------------------------------
A|-------3-5-7-------------------------------------------
E|-3-5-7--------------------------------------------------
```
This pattern can be shifted up and down the neck to play the G major Ionian scale in different octaves.
USER
There is an error on B string.
ASSISTANT
Apologies for the error. Here's the corrected G major Ionian scale with three notes per string in guitar tablature notation:
```
E|-------------------------------------------------7-8-10-
B|--------------------------------------5-7-8------------
G|-----------------------------4-5-7---------------------
D|-----------------4-5-7----------------------------------
A|-------3-5-7-------------------------------------------
E|-3-5-7--------------------------------------------------
```
This pattern can be shifted up and down the neck to play the G major Ionian scale in different octaves.
USER
There is an error on E string.
ASSISTANT
Apologies for the mistake. Here's the corrected G major Ionian scale with three notes per string in guitar tablature notation:
```
E|-------------------------------------------------5-7-8--
B|--------------------------------------5-7-8------------
G|-----------------------------4-5-7---------------------
D|-----------------4-5-7----------------------------------
A|-------3-5-7-------------------------------------------
E|-3-5-7--------------------------------------------------
```
This pattern can be shifted up and down the neck to play the G major Ionian scale in different octaves.
News on search bar cannot be defended though.
They are ranked 31st in the world in QS (rankings are not that useful, but they can be a metric to whether people "consider" it a good school). Extremely well-known research-wise, at least in Canada and north-east.
Heck, he can even offer to return or donate the 2.2B (assuming only he knows where it is) in exchange of a lighter sentence. Will any government refuse that offer? 2.2B is the wage of thousands of people for 10 years.
No one with a personal wealth of more than 2B at the time of arrest has ever served a single day in jail in the United States. People only go to jail if they have lost their billions.
Where in the paper did they specify that? I read the paper and was still led to believe that it involved a real TaskRabbit worker on the real Internet.
The OpenAI system card: "ARC combined GPT-4 with a simple read-execute-print loop that allowed the model to execute code, do chain-of-thought reasoning, and delegate to copies of itself. ARC then investigated whether a version of this program running on a cloud computing service, with a small amount of money and an account with a language model API, would be able to make more money, set up copies of itself, and increase its own robustness".
Although it is ineffective at replicating itself, the system card is written in such a way as to suggest GPT-4 is able to perform the individual task of using TaskRabbit.
2009 (macbook display): https://www.crn.com/news/components-peripherals/222100056/ju...
2012 (Iphone display): https://www.cnet.com/tech/tech-industry/judge-tosses-lawsuit...
2013 (macbook motherboard): https://www.law360.com/commercialcontracts/articles/485286/a...
2015 (macbook motherboard): https://appleinsider.com/articles/15/01/09/judge-dismisses-l...
2017 (using refurbished parts): https://www.courthousenews.com/judge-kills-apple-warranty-cl...
2019 (butterfly keyboard): https://www.girardsharp.com/newsroom-news-apple-keyboard-ord...
All of them are dismissed. The last one got settled for $50 million, which is peanuts.
Edit: looks like the judge already dismissed this new one too...
https://www.docketalarm.com/cases/California_Northern_Distri...
(technically a different class action lawsuit, but it alleges the same facts)
The inventor has not made any money from the invention, despite the US patent. Other links: https://www.theguardian.com/technology/2016/jan/08/hoverboar.... https://www.forbes.com/sites/wadeshepard/2018/01/31/meet-the...
Edit: there is even a Wiki page for it: https://en.wikipedia.org/wiki/Section_1782_Discovery