Is there any way, without guessing or read of a graph, to solve for x in an equation like 3^(x)+4^(x)=25
>>7780411
Well in that case you have a pythagorean triple so the answer is trivial.
>>7780414
Hurr durr x=2
I wanna know HOW to solve for x
Hey
I tried doing 3^(x) + 3^(log3(4)*x) =25
then substituting y=3^x
Y+Y^(log3(4)) - 25 = 0
In that case you would have a "polynomial of n degree with n being non-integer, if you look up online there are some methods that allow you to calculate the number of roots and maybe a method to calculate them that I don't know of
if looking for a approximate solution you could just apply a root-finding algorithm for the last equation with two reasonable approximations of Ya and Yb, values in which the root will be encountered
Hey /sci/. AI researcher here. I'm trying to figure a way to represent complex human intuition using a mathematical structure, but some parts of natural language don't really fit in any obvious ways that I can find. Language itself isn't the problem here; it has a grammar and discrete structure that's easy enough to model, but certain words and phrases are hard to represent mathematically. I'm trying to translate our oldest philosophical quandaries into more mathematical terms so if you'll bear with me for a moment...
>What happens when an unstoppable tessellation meets an immovable singularity?
Does this seem close enough to capturing the essence of the philosophical dilemma as you understand it? What terms would you use? Does it seem like this is a useful exercise for bridging the gaps between human understanding and machine intelligence or is algorithmic intelligence still too fuzzy a concept to have intuitions about?
Please ignore the quandary itself, if at all possible.
"I think therefore I am"
scrap the tesselation vs singularity..
Because that will give you errors and cause confusion it would be better to input this after.
>>7780345
This is basically popsci jibberish. Do you know anything about philosophy at all?
Friendly warning your AI will be subsumed.
How the fuck does a gas mantle obey thermodynamics?
> absorbs infrared radiation
> emits higher energy radiation (light)
> no temperature difference, only heat
It has low emissivity in the IR spectrum
>>7780233
>emits higher energy radiation (light)
Yeah, no. Higher FREQUENCY =/= higher energy.
>>7780289
Are you for reals?
This is not a troll thread I obviously accept evolution as true however I have a question about it.
Over all of the history of earth and life on it wouldn't there have to have been an animal (obviously many but for purposes of question let's say one) an animal who never set foot on land but had a child that did?
I mean the very first lifeform that walked out of the ocean had a mother and father. What kind of animal was this?
If we put cameras on all the worlds shorelines and recorded them for a million years would we see an example of this happening? I mean not like a crab walking out the oceaon but something that doesn't exist now.
Say we killed all human acitivity in Africa and recorded the whole continent for tens and millions of years. Would humans evantually be evolved again on that continent?
>>7780081
... amphibians?
>>7780081
>Say we killed all human activity in Africa and recorded the whole continent for tens and millions of years. Would humans eventually be evolved again on that continent?
No because the climate changed, also there's no reason to develop a large brain there anymore so it would never happen
>>7780081
>If we put cameras on all the worlds shorelines and recorded them for a million years would we see an example of this happening?
I doubt it. When animals first came on land, there was an uninhabited ecological system to saturate. Now there are plenty of land based forms and amphibians already.
I don't even know when the last time was something walked out of water and became land based.
>Would humans evantually be evolved again on that continent?
Something would need fill the ecolocial gap left by humans, and it would most likely be apes. So yes.
Learning from textbooks or learning from open courseware (such as MIT's proper courseware)
Which is better?
inventing your own methods like a fucking genius instead of being some fuckboy lapping up the genius of others
>>7779993
Textbooks
>>7780008
This. If you can't independently derive the laws of motion and thermodynamics and quantum mechanics using nothing but a 1kg block and the Calculus, you'll never get anywhere in science.
Wtf kind of equation accomplishes it achievable to allow you be incur the evaluation of the inquisition "does the Macrocosm subsist"?
>>7779987
Are you retarded?
>>7779997
can you provide a smart riposte of my inqusition sir
>>7779987
Remember when your teacher said there is now such thing as a dumb question? Well you seemed to have proven her wrong.
So I am in CP Biology and am currently learning about egg cells.
I have a question for /sci/
Can I reproduce with a flower by cumming on it? Will the sperm sink into the eggs?
>>7779934
What is your skin color and what flower are you tring to impregnate?
>>7779946
skin color is a social construct
fuck off racist
>>7779946
I am white (mostly of welsh descent) and i will try to impregnate any flowers that will work
"If anyone still wants to debate the viability of the scientific arguments regarding climate change, have at it."
You can quickly spot bad science when its adherents are extremely arrogant.
>>7779914
"Evolution is just a theory!"
"Gravity is just a theory!"
"The conservation of momentum is just a theory!"
Right... Totally an one sided thing there.
>mfw pure math autists give me shit for taking biochemistry
>hurr it's an easy science
Half you sperglords would fail the class
And you would fail out of any higher level mathematics autism course, or physics, or engineering or...
Different bases of knowledge. We need biochem fags to discover meds, and shit, just like we need pure math to sperg out and make mathematics that may one day have an application.
As long as you aren't shit at what you do, and you aren't being an autistic biofag doing work that has no medical purpose, then you are doing good work.
>>7779848
>reasonable way of thinking
How have mods not banned you yet?
Btw OP chemistry is just applied physics, enjoy your babby degree (^:
>>7779863
Except unfortunately for physicists, employers don't see it that way, and actual chemists have both the breadth and depth of their field that can only reasonably achieved from specialization. It would be nice if physicists could go into fields that are "applied physics", but the whole not specializing in it is a turn off for employers.
Consider an [math]{\mathcal L}^2[/math]-integrable function [math]f : {\mathbb R} \to {\mathbb C}[/math] with
[math]\int |f'(x)|^2 \ dx[/math]
finite.
How does the above integral stand in relation to
[math]\int |f'(x)| \ dx[/math]
?
E.g. are there some some standard inequalities relation them?
>>7779799
let f(x)=ln|x| for |x|>1 f(x)=1/2*x^2 - 1/2 for |x|<1
∫ |f'|^2 is finite
∫ |f'| is infinite
>>7779799
>reading zizek
I'd rather by a slob drinking beer in front of a computer.
>>7779833
but the log isn't in L^2 in the first place
>still on fourth grade math on khanacademy
Am I the only person here who never went to school and is trying to catch up to the rest of the world?
>still learning 4th grade math
>expects /sci/ to have empathy for him
I don't envy the responses you're about to get anon
>>7779794
Don't listen to the trolls anon, you're doing the best you can to learn. Keep it up.
>>7779794
Are you American? Why did you not attend school?
This seems like a silly question, but I'm not sure if it really is. A quick google search didn't really present me with too much info on the topic; maybe someone here might know.
My question is, how do we calculate the trigonometric functions? What is the "equation" that represents sine?
https://en.wikipedia.org/wiki/Sine#Series_definition
>>7779711
There are lots of different representations of sine, but the simplest would be the Taylor series: [eqn] \sin (x) = \sum^{ \infty } _ { n=0 } \frac { (-1)^{n} } { (2n + 1)! } x^{ 2n +1} [/eqn] You'd have to hold quite a few terms for it to converge to a reasonable accuracy as x gets larger.
>>7779711
The sine (and cosine) function, which you probably know can be described by the proportional sides of a right triangle, is a function which meets a specific set of properties (like sin^2(x) +cos^2(x) = 1, among many others) and we can prove that this is the ONLY function which meets these properties, proving it is unique. So you could argue that we calculate it through use of a right triangle and prove that it is a unique function in this respect in that it is the only function to have certain properties.
In addition, however, there are the complex forms as well.
Sin(x) = (e^(ix) - e^(-ix))/2i
This is also a method of calculating sine. Simply plug it into that definition.
Note that it is still a unique function despite having 2 representations because we can prove (through Euler's identity) that both representations are equal and thus they are the same function.
Understand?
Doing some GOAT tier integration
>>7779467
you need to be over 18 to post in this board
>>7779470
gr8 b8 m8 i r8 8/8
>>7779467
>GOAT
>integration
pick one
but in all honesty, you could bait harder by posting unsolvable integrals with approximations used to solve them
Do we have free will?
>>7779339
yes
more so if you iodize your 5-ht2a receptor
any advice on someone who's been out of school for years who is taking this course? i certainly have to brush up on calculus because i scarcely remember that.
any advice for p chem i? or as my school calls it - quantum mechanics and spectroscopy.
pic related is the book we're using.
>>7779311
here's the syllabus.
http://chemistry.fas.nyu.edu/docs/IO/19766/CHEMUA651.pchem.quantum.turner.spr2015.pdf
There are chapters in the textbook that brush you up on some of the math. I guess I'll look at those rather than picking up and reading a whole calculus book.
>>7779326
>It’s important that you read the textbook!
>Alternate texts
>Radically different famous textbooks that do not cover the same material at all or is an entirely different level
>Recommended software
>Like everything fucking high level software instead of just saying "I'm probably going to use Julia for the course so learn that if you want to read my source code"
>This takes time and hard work, because telekinesis is involved
>telekinesis
What the fuck is this guy doing?
OP aside from this guy being really unprofessional he seems to have no fucking idea what he's doing. I highly recommend you do not take his ego course unless you really have to. You won't learn anything from this shithead.
That entire fucking pile of shit he wrote on problem solving is especially disconcerting.
>>7779348
>Radically different famous textbooks that do not cover the same material at all or is an entirely different level
What? Introduction to Quantum Mechanics by Griffths and Physical Chemistry by Atkins are frequently recommended as supplement/main texts for Quantum/Physical Chem courses. Harris and Bertolucci's Symmetry and Spectroscopy is more geared towards an Inorganic/Spectroscopy/Group Theory course but it's not inaccessible.
>Like everything fucking high level software instead
He says to use it for plotting. This isn't a coding class, what language you use isn't important.