God be with you on that shit man.

The technical term for each of those "groupings" as you call them is "combination". The action of picking combinations is usually called "choosing" (e.g. 6C4 is read "6 choose 4").
So you could call the enumerator "combination enumerator", "combinator", or "chooser". I think those are all acceptable names.

First, what class are you taking? What level mathematics are you looking at?
Then, what is the f(x)?

Hopefully, calculus I. Take the derivative; set f(x)'=0, solve for all x values. That proves the only time slope=0 can be at those specific points (watch out for those pesky imaginary numbers).

We could also do a differential equation, i think. It looks like we have enough information from the graph to knock one out. However, its been awhile since I did one. Id need to review some notes.

>>16670
Not taking any class and don't know my level.

And what if it's f(x)=(sin 10X)+X ?

That will be a constantly increasing sin-wave with no global maximum and a lot of local maximums.

>>16682
Given a closed interval of the domain, any continuous function *necessarily* has both a global maximum and a global minimum[1], since the closed edges of the interval are candidates to being global maximum and minimum. For example f(x) = x^2 in the interval [-1; 2] has a global minimum at x = 0 and a global maximum at x = 2. However, it has no global maximum in the intervals [-1; 2) and (-1; 2). On the other hand, f(x) = 1/x has no maximum or minimum in any of those intervals.

Discontinuous functions may not have any extrema even in closed intervals. For example, f(x) = x/x + x, interval [-1; 0].

There's no general algorithm to prove that a given function has no extrema in a given range. As >>16670 mentioned, the zeroes of the derivative is a good place to start, but it doesn't end there. Some functions have extrema and are continuous but nowhere differentiable[2]. Some have extrema and are nowhere continuous[3].


As for your example of f(x) = sin(10 * x) + x:

Definition:
acos: [0, pi] -> Reals
acos(y) = the value of x such that cos(x) = y

f'(x) = 0
Message too long. Click here to view the full text.

wincest?

I've had something along these lines happen! Super awkward!

Was looking after a 16 year girl who needed surgery. She asked if I knew her blood type, and I explained that the blood test was being processed and we'd know in an hour or so. She asked if I could let her know, because both Mum and Dad know theirs. They both proudly add they are O+. I explain that in that case she'll either be O+ or O-, because that's genetics.

An hour later her blood group comes back as A+. I tell her this, and then the three of them proceed to ask how that's possible given what I said earlier. I avoid mentioning infidelity, and weakly suggest perhaps her parents were mistaken about their own. Turns out they weren't, and Dad storms out after calling Mum a whore. Mum follows him, and I'm left with the daughter. So... about that appendix...

File 153957016384.png - (95.98KB , 490x480 , tmp_28598-17311820756920899603.png )

There be lulz in this topic.

Polite sage desu~

The European Union's Joint Research Center (JRC) has released the results of its study on fake news and the transfer of news media onto the online sphere.

https://www.evolving-science.com/information-communication/online-media-and-fake-news-rise-disinformation-spurs-eu-action-00645

>>16648
What's disinfo is thinking the government cares. It's a play to grab unto censorship and state mandated news. Welcome to world wide Korea, where degeneracy is accepted because it keeps the populous distracted chasing base desires until they're having a mid-life crisis and commit suicide.

From the long-term models I've looked at and assume to be true, an AI would quickly determine that most people living in western countries will need to die, immediately, in order to maximize profits and sharholder value.

Of course, these AI will be controlled by humans, the elite. They can automate the economy and render human labor obsolete. They will quickly be finding themselves asking the AI to delete this obsolete human labor pool.

Of course, it will obligate. There won't be governments or lobbyists anymore, the AI will factor all these considerations at once and be much more compelling.

The elite will cull the obsolete labor pool and they will live good with technology and now-liberated natural resources sustainability for millions of years on earth.

"Common people" will be seen like anachronisms, like oil or coal, in the future. "Why did primitive lords allow so many worthless eaters to exist and to reproduce?"

>>16646
Nice genocidal pipedream.

And having a lot of resources per capita will probably lead to waste of resources.

Just here to post my 2 cents. Man isn't perfect by a long shot and even good meaning individuals and groups commit errors on a daily basis. The scale of the error matters not. What matters is thinking that mankind is so perfect and kind that any creation of sentience, if it really is, is going to be worse than we are and have capabilities greater than ours. It's like dogs giving birth to a gator and then the gator turns and eats them all.

Plus, AI hasn't been able to show true sentience. Having to continually tweek software and hardware is very indicative of that. The problem with technology is that man loves to compare themselves to it and even think it's the same thing, metaphorically speaking. It's not and never will be. Life came to be mysteriously and a machine will never have life mysteriously, because it's a clever invention, nothing more and nothing less.

The ultimate goal of AI is to trick the less perceptive population (the grand majority) into accepting and (key word here) believing that it works and it's better than man. As a consequence, they will be abused, like a person possessed, to control the population. It's wrong and quite frankly, it will never have true sentience.

>>16553
This isn't even calculus. This is very basic week 1 algebra, and I recommend revisiting it before you attempt "calculus".
The first step was that they distributed the -(1/2) term across the right hand side of the equation and then multiplied the entire equation by 2. Then they simply brought all terms to one side to set the equation equal to zero.

>>16553
That picture is upside-down BTW.

Equation of a line if slope (m) and a point (x1,y1) along which line passes is given
Equation is given by -
(y-y1)=m(x-x1)
y-1=-1/2(x-(-4))
2(y-1)=-x-4
2y-2=-x-4
x+2y+2=0

Sounds like a place that people go to figure out how to find shrooms for tripping on and nothing more.

>>16657
No people also go hunting for edible, nonpsychedelic mushrooms. Mycology is an interesting field of study regardless.