Rules and stuff
tl:dr No NSFW-stuff. Homework-questions allowed. Apparently hotwheels is a faggot and somehow fucked up the TeX-rendering.Category theory
What do you guys think about type or category theory as a basis for the mathematical edifice rather than set theory?
Personally I don't think there is any point to it, but I would love to hear some arguments to the contrary.
What is the more practical foundation for mathematics?
I'm in a seminar-style mathematics class in my high school, for the best-of-the-best of high school. The first assignment of the year was to write a proof for a given question.
Mine was: pic related.
I had come up with a bit of a hack solution, and was what mathanons could come up with. I'll post my proof once I prettify it in TeX.
Proof
Working through Serge Lang's Basic Mathematics atm (thx /prog), and I seem to have arrived a different proof for one of the exercises than the answer given. Pretty sure it's solid, but I need to check in case my logic is faulty.
Let a = m/n be a rational number expressed as a quotient of integers m, where neither m nor n = 0. Show that there is a rational number b such that ab = ba = 1.
My answer: If b = 1/a, then ba = ab = a(1/a) = 1
Also, Lang's book rocks.
Is there such a thing as a 4-way Merkel tree?
A way of relating partial information not as counterparts, but as hints to a search.
I was going to post is the comp sci boards, but I think this involves patterns more than systems techniques.
There will be win if this doable.
For example, Merkel trees are usually created by concatenating two values, but they can also be created using the XOR operation.
Say you have 4 data sources A, B, C, D and xy means x XOR y.
You can broadcast the root of the tree ABCD (A XOR B) XOR (C XOR D) as a way to retrieve partially available data.
The idea is that if you know AB and ABCD then you get CD for free,.
In a 4-way Merkel tree, knowing the root and one of the four branches gives you the 3 you don't have.
Prime factorization could be one way to do it.
The branches could also represent ranges for values rather than the values, revealing the values less ambiguously as you find more of the branches.
The real fun begins when you have 6 ways the four pieces can appear:
AB, AC, AD, BC, BD, CD
If the 4-way Merkel can be generalized to n-way then by permutations we have geometric performance increases.
Halps, me Anon Kenobi.
There will many straws to drink the big milkshake if this works.
I come to you because I do not like signing up to forums. Here is my problem. It's from the book Calculus: An Intuitive and Physical Approach by Morris Kline.
>An objects slides down an inclined plane OP' starting from rest at O, which is the top of a circle of diameter OP, where P and P' lie in a horizontal line. Show that the point Q reached in the time, t, required to fall straight down from O to P lies on a circle with OP as diameter.
Up until now it was going ok with familiar physics problems done in a way to explain derivatives. Never took trig.
Math, from the start
So if there were a list (I'm sure there is, but I strangely can't find it using any reasonable search terms) of basic mathematics concepts, what would it be?
1. Counting
2. Addition
3. Subtraction
4. Integers
5. Multiplication (including powers)
6. Fractions
7. Division
8. Roots
9. Permutations
10. Variables
What have I left out?
I'm trying to teach someone math from the very beginning and I'm sure that it can be done in far less time than the decade it would take in an ordinary American public school. I'm aiming for four years from "how to count" to knowing how to solve a quadratic equation. Before anyone suggests that this is unreasonable, I should add that I took Algebra when I was 8. (Catholic school, of course.)
Hi /math/. I'm trying to design a scaling table for Dungeons and Dragons and my problem is thus:
"John designs a game. In it, people roll two dices, both of 20 faces. These two dices calculate the score.
When John rolls a result of 1 on the first dice and rolls a result of 1 on the second dice, he gets a score of 10.
When John rolls a result of 20 on the first dice and rolls a result of 1 on the second dice, he gets a score of 10.
When John rolls a result of 1 on the first dice and rolls a result of 20 on the second dice, he gets a score of 1.
When John rolls a result of 20 on the first dice and rolls a result of 20 on the second dice, he gets a score of 1.
In summary, a result of 1 on the second dice always scales the the first dice's result into a score of 10. A result of 20 on the second dice makes the the first dice's result become the score
Design a formula or two formulas, one for numbers under and one for numbers over 10, for this game.
"
geology trigonometry
Hi guys, I’m trying to build a model of something in excel, but I need to be able to find the xyz coordinates of the four corners of a rectangle where the rectangle is specified as follows:
Midpoint x: x
Midpoint y: y
Midpoint z:z
Lenth: l
Width : w
Dip (angle of surface from X-Y plane(degrees)) : d
Dip direction (angle of surface from X-Z plane(degrees)) :dd
I know that this is a trigonometry problem involving sin and cos for each of the axes, but having trouble working out each of them and describing them accurately.
It’s been a long time since I did much of this sort of thing. Could anyone help me out?
So, in my lack of math classes over the last few years of college and my time off of high school I have forgotten how to do part A in problem 22. Also, please correct me if (when) im wrong, but the answer to part B should be that the slope represents the relation of the cost to produce to the units.
the y intercept (which means the place where the line crosses over the y axis right) represents where it either becomes more effective or less effective to produce that many appliances at that cost. (I would have to graph it and look at it.
And I also have a question about part c of the second photo (problem 27). If my math is right, the inverse equation is y=log_2 (1/x)
which i got for solving for y in said equation. But I dont understand what this means in relation to the question it self.
Have you taken the brown pill yet, mateys?
it's a tough pill to swallow! The brown pill was founded in 1999 by Sir Reginald Brownpill, who presents and narrates the attached video.
Forget red and blue pills, brown pills are the way of the future.
Video related. Please leave your questions, comments, and concerns below about this radical new paradigm of thinking!f
Swallow the brown pill today! Red pills are for fedora fucking wearing faggots, blue pills are for the ignorant masses. Ignore the other le epin /pol/ maymays, this one is the readl deal.5457547548548457
Hello, this place seems really dead but I'll try anyway.
If you were to brush up on high school level math. Where do you start?
I'm currently running through khan academy and using some books taken from here
http://www.math.kent.edu/~mathweb/ebooks/
Are these enough to work with? It seems all so confusing. I'm 22 and haven't touched any sort of academically inclined math in several years.
Trigonometry
Hey /math/, I'm doing high school math and I'm getting real confused; what's secant, cosecant and cotangent (more than being reciprocals)? Also what use do they have? It feels like they were only created to fuck people up in their math studies and make them learn more for no particular reason.I doodle sometimes. I did this:
Take a regular polygon of n sides. Create a copy of that polygon and fit it inside the first so that each point cuts the sides of the large polygon in two. The ratio of the enclosed area and the total area will be a defined value, as shown in pic related. Let this function be called A(n).QUIZ TOMORROW!
Hey guys, guess what. MATH QUIZ TOMORROW!Anomaly or I'm stupid?
Sup /math/fags?Rosettas after-impact bouncing speed
As the topic so explicitly suggest, I wanted to have a realistic feeling of how it bounced.