Is the empty graph a pointless concept?
Have you taken a course in graph theory? It comes up in proofs where you need to do induction on the number of edges, for instance. By empty graph, I'm assume you mean: any number of vertices, and no edges.
>>7948407
It's meant by the graph on zero vertices, which is occasionally an annoyance as a base case.
Is zero a pointless concept?
Why is the universe so fine tuned for life?
If the variables and physical laws of our universe had been even slightly different we wouldn't have gotten planets and stars and sharks and chicken soup.
God
God
yahweh (our god)
So what's the actual point of topology?
>>7948175
to study mathematical physics to study portals
>>7948180
I prefer unmathematical physics actually. Sure it may never give us a means to make portals but at least we can discuss the philosophy of them.
>>7948175
to be pointless
Hello! Can anyone help me with some probability questions related to table-top roleplaying?
The game in question is World of Darkness, which uses a dice pool probability.
A player rolls a number of 10-sided dice, any die that comes up higher than the "target number" is a success. The typical target number is 7, but it can range up and down.
Say two players are rolling against each other.
Player A rolls a number of dice against a difficulty 7.
Player B rolls a number of dice against a difficulty that might be anywhere from 5 to 9.
Assuming they roll an equal number of dice, how much does Player B different target number matter?
If player A rolls eight dice against TN 7, and player B rolls eight dice against a TN 9, how likely is it that B loses? Similarly, if B rolls against TN 5, how likely is it that he succeeds?
I've come across the following equation.
1-(Successes_required * (Probability_of_failure^Dicepool))
or more specifically
1-(Successes_required * (((11-Target Number)/10)^Dicepool))
Essentially, I want to replace the "success required" variable, with Player A's own roll. So if Player A gets 2 successes over the target number, then B needs to get at least 2 or more successes on their end.
Any math dudes help me out? Hope I've been clear, please ask me anything else you need to know.
>>7948034
shit, clarification
A player rolls a number of 10-sided dice, any die that comes up *EQUAL TO OR* higher than the "target number" is a success
Also, can anyone explain to me the (11-TN)/10^Number of Dice? I understand that (11-TN)/10 gives the probabilities of the 10 sided dice, but the exponent is all thats required to calculate extra dice?
>>7948042
What I believe you are looking for with
1-(Successes_required * (((11-Target Number)/10)^Dicepool))
Is described by pic related formula, the 'binomial distribution' for a discrete random variable. This describes, in your dice roll example, the probability of x successes out of n rolls, where p is the probability of a success and q is the probability of failure, which is 1-p.
For this question, "how likely is it that B loses", we first need to look at the probability of A getting successes and B getting failures.
"If player A rolls eight dice against TN 7, and player B rolls eight dice against a TN 9, how likely is it that B loses? Similarly, if B rolls against TN 5, how likely is it that he succeeds?"
[math]p_{A}(1)={1\choose1}(\frac{4}{10})^1(\frac{6}{10})^{1-1}=\frac{4}{10}[/math]
[math]p_{B}(0)={1\choose0}(\frac{2}{10})^0(\frac{8}{10})^{1-0}=\frac{8}{10}[/math]
To spare you the long answer for 'why', because the two rolls are independent events, the probability of both occurring is given by [math]P_{A}(x)\cdot P_{B}(x)=\frac{4}{10}\cdot\frac{8}{10}[/math].
This is your player A succeeding TN 7 and player B failing TN9. The B succeeding TN 5 is given in the same manner.
You probably noticed how unnecessary some of the terms of this formula are, and that's because we're dealing with single roll against single roll. In the event of
"Player A gets 2 successes over the target number, then B needs to get at least 2 or more successes on their end."
you need those seemingly unnecessary terms.
>>7948329
Here's a non-shit picture.
I failed my calculus exam for the second time now. How do I study math?
you can't
just cheat
instead of memorising everything try to understand everything, build you knowledge up from the ground so when you lose the roof the house is still standing.
math is useless bro
study art
What are the limitations on silicon based life? What challenges face it? How does it compare to carbon-based lifeforms? I know that silicon is worse for life than carbon, but why and how?
I recall reading something about them hardening upon contact with water. Why is that?
Gold based life
Sodium based life
Plutonium based life
Potassium based life
They'll be heavier, that's it. Also nothing stops Si life to use both Si and C.
>>7947547
>Gold based life
>Sodium based life
>Plutonium based life
>Potassium based life
Are those actually possible?
>They'll be heavier, that's it.
What about the lack of metabolism? The silicate they breathe out?
So I had epiphany, if color is based on what the object takes in like a toy being red because it takes in every other color and reflects red so we see it as red. Does that that mean that the toy is not red? It's every other color except red because red is not in it?
>white is the absence of color because it is reflecting every single color
>black is every single color put together because it is taking in every color
>grass is not green, it's every other color excluding green
>a barn is not red, it's every other color excluding red
>white shirts reflect every single color
>black shirt obsorbs every color
That's it senpai.
To fuck with you further, now imagine what color an object would be in complete darkness. Now it has NO light to reflect, so what does it look like? Who knows.
3spooky5me
>>7947040
What a fucking retard.
>>7947053
This us fucjed up.
But I can't help but imaginr it would be like grey/monochrome or something
WHY WHY WHY
Should we give robots equal rights as humans ?
>>7946768
what an idiotic question
you're an imbecile
Why shouldn't we ? We create humanoid robots to be functioning members of the society, they do everything for us. They must have rights just like us.
>>7946768
Should AI's give equal rights to humans?
As more intelligent, self upgrading, immortal beings, AI's will stand higher than us in any aspect. They will keep us in reservations safe from ourselfs.
There are two types of strings, right? A closed string, which is like a circle, and an open string, with two endpoints.
Seem familiar? Circles and lines? Ones and zeroes? We are literally a computer simulation in the Matrix
>>7946602
wow son
you did it
collect your nobel and your fields medal
we are proud of you.
> mfw aliens knew this all along
we truly live in an amazing time... anyone got more rolling paper ?
>>7946602
Why do you post this every week?
What does the game of life simulate exactly?
It isn't particles because particles can't die, and it isn't cells, because cells don't behave that way.
So what is it?
>>7946523
It demonstrates that very simple rules or initial states can lead to or develop into very complex structures, even structures that self-replicate.
Potentiations of likelihoods.
>>7946532
But is it useful for anything?
Can we use it in the real world?
Whats the difference between a meme and a joke?
When everyone is in kindergarden and tells the why did the chicken cross the road bit, is that a meme or a joke?
Are all jokes memes?
Are all memes jokes?
>>7946184
Everything is a meme. That's the joke.
>>7946184
A joke is a linguistic construction designed to invoke euphoria and a laugh response in humans.
A meme is a widely recognized stock cultural phenomena.
Something can be a meme, joke, both, or neither.
>>7946198
Who's the authority on when something becomes a meme?
Just started reading Cities in Flight, and I have a question:
How loud are the storms of Jupiter?
Does the book say? You really need a first-hand account of that kinda thing.
In all seriousness, loud as fuck I bet.
The storms are a lot more energetic, and Jupiter's atmosphere is denser, so they'd be a hell of a louder.
>>7945936
Impossibly loud.
But nothing worth listening to
How loud is your head in a bubble in liquid lead/bismuth when that glorious nuclear wave erupts on the horizon and runs through you and it?
Itll sound fucking awesome, right?
WHO NEEDS TO HEAR WHEN NOTHING IN THE WORLD IS LEFT TO LISTEN TO??????
Do you agree with this or do you think it's just a meme?
>sci autists think and do the exact opposite of this
>>7945864
I agree.
>>7945862
This is partially true because even the most complex statements can be summarized and explained in short sentence.
For example, there may be a lot of theory behind functions but you can just say that a function is a map from one space to another and this phrase, while incomplete, immediately creates a mental image of what a function does.
However, this is what is known as popsci understanding. This is what your professor should say in the first introductory lecture.
My epistemology is larger than your epistemology.
Prove me wrong /sci/.
>>7938922
>his epistemology isn't Bayesian
>>7938945
>Bayes
Bitch please. Anyone's that's tried to factor large numbers knows that you can't use statistics to create new hypotheses.
>>7938948
>he thinks epistemology is concerned with the details of hypothesis generation
Hi
I hope I'll find some guidance here.
I'm a computer engineer and I want to make an hexapod (6 legged robot).
I have no special knowledge about robotics.
What should I do ? where do I start?
>>7949925
Try youtube or LEGO Mindstorms
actuators anon, actuators.
sorry I should have mentioned that I made one with 3 servos controlling each leg. Now I don't know what to do next