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Mathematics

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  1. From basic sequences, series and calculus, to measure theory, complex analysis and more advanced topics.

    • 1.2k posts
  2. Set theory, groups and ring theory, linear algebra, and other algebra-related topics.

    • 538 posts
  3. Home to threads on more applied (but non-physical/mechanical) threads; e.g. applied group theory or statisics.

    • 479 posts
  1. Started by amirhomayoun,

    Hi. I need some help. Can anyone prove whetere it's true or not that semi heyting algebras are JID lattices or not? thank you!

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    • 6 replies
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  2. Hey folks, Any help for this would be gratefuly recieved. I am so confused about where I went wrong recently with a graph. I used Excel, and converted the numbers into LOG to allow for a greater spread of the data, but my lecturer has now asked me WHY did I do that? As you can see the data points have quite a high range, as the concentration was diluted by it's exponent each time (is that the correct term?) I'm not great at maths, but it was diluted by half each time. The absorbance given was the Y axis. I got a straight line and was using the line to find an unknown concentration based on y=mx+c if that makes sense? Please reply to me in non=maths speak, as …

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    • 1 reply
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  3. Hi all I am new , and wanted to ask the following. I do not know if this is the right section but here goes: I have three registers , say A , B and C Case 1:A will always have 3 combinations 1,2,3 1 has further subsections 1_1,1_2,1_3,1_4,1_5 2 has further subsections 2_1,2_2,2_3 3 has further subsections 3_1,3_2,3_3,3_4,3_5,3_6 A will always have to go through 1, 2 ,3 and will have 1 path of any subsection Example , a possible combination A--(will always traverse)1--(and will end with one of the subs)1_1 | | |--(will always traverse)2--(and will end with one of the subs)2_2 | | |--(will always traverse)3--(and will end with one of the …

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    • 5 replies
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  4. Started by ewmon,

    I saw this and thought of it as a pretty cool "Eureka!" moment. Anyone care to comment? Also, do you know of a similar situation where the "problem" is originally/naturally viewed one way, but superior scientific insight results in a solution that's different? source

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  5. Started by gib65,

    Does anybody else find this fascinating--that if both operands are 2 for any "growth" operator, then the result will always be 4. By a "growth" operator, I mean +, x, power, etc.--and operation whose result is greater than its operands (as opposed to "shrinking" operators like -, /, square root, etc.). 2 + 2 = 4 2 x 2 = 4 2 ^ 2 = 4 2 # 2 = 4 (where we could suppose x # y means x raised to itself y times). Wouldn't this trend go on indefinitely? Couldn't we say that 2 @ 2 = 4 where @ is any "growth" operator whatever? And wouldn't a similar rule apply where 4 % 2 = 2 where % is any "shrinking" operator whatever? NOTE: I'm aware that I've defined "growth"…

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    • 5 replies
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  6. Started by Jarwulf,

    hi, i need to know on intuitive terms why roughly 68% of a randomly sampled population falls within 1 standard deviation of the mean and 95% within 2 sd etc. There doesn't seem to be any explanations on the web besides blurting out CLT or some hocus pocus with arcane calculus symbols. Thanks

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    • 3 replies
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  7. Started by Notexceling,

    Mind my stupidity If the number "1" explains itself and every other number, but, it's restricted to 100%, ( 1 = 100%) then Wouldn't that mean that the decimal value greater than 1 is part of another "(1)"? e.g 1.1 "(1)+(.1)" Even though it is developed with the original number, it has exceeded the boudaries of 100% I thought that " .1" must be part of another one that only has "(0.9)" remaining, only because of "(1)" being restricted to (100%). Another example 3.1415926535... (1)+(1)+(1) We have "3" individual 100% complete numbers, but I always thought that the next "1", or the 4th "1" is now only 0.9695184575... Am I wro…

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    • 17 replies
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  8. Started by Schrödinger's hat,

    Just discovered www.maa.org/devlin/lockhartslament.pdf and thought it worth sharing/possibly stickying.

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    • 9 replies
    • 3.7k views
    • 1 follower
  9. Started by MikeMHz,

    Hey, so I think I know how to do disjunction elimiation... Where I am given A∨B I can assume A => C and B => C, so the result is C after disjunction elimination. Is this always the correct method? For example if I am given: A∨B --- ∨E A How can I prove that this is not sound? Simply by doing what I did above?

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  10. Started by gib65,

    There's a tendency for the evolution of mathematics to branch. If we assume the basic line of mathematics to be basic arithmetic, then one of the earliest branchings would have to be algebra. More recent developments might include calculus, combinations and permutations, trigonometry, set theory, logic and computer science, and so on. One thing I'm curious about is whether there is a mathematics of patterns. You know, repetitions and regularities. Is there such a thing?

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    • 6 replies
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  11. I am taught if it is over 30 observations it will be probably normally distributed. How the heck was 30 chosen as the magic number?

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    • 5 replies
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  12. Started by JvNrocks,

    I'm working on a book on John von Neumann and need to gauge his importance in 21st century math. Any anecdotes or personal experience with his work and his legacy will be appreciated. Thanks.

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    • 3 replies
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  13. Started by AlanTuring,

    Hi so i am preparing for my algorithms class exam and this question is the second last one in my text book with graphs, and i am not too sure how to obtain an algorithm that is just O(m+n). a) Prove that every connected graph G=(V,E) has a node v∈V such that removing v and all its adjacent edges will not disconnect G. (b) For a given connected graph G=(V,E), design an O(n+m)-time algorithm to find such a node. I have understood that i need to take a case such as say for nodes v,w there is a node in between the path from v to w such that if v - x - w is the path, and x is removed, the graph is still connected. Anyone have any ideas? TIA.

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  14. Started by rogerxd45,

    ok so i want to know if there is an easier way to figure out how many times you would have to double a number before getting to certain number. (other then going 2x2x2x2x2x2x2 question two lets say we take the number 1080 is there a way to figure out how many times it had been doubled assuming the start point is 1 what if the starting number was 4 any way to figure that out besides the long way and this is not homework, i was just folding a piece of metal on itself over and over (like Damascus steel but i used indium since its soft and doesn't require heat to get the layers to bond but it also doesnt add any strength i just wanted to see how many layers i cou…

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    • 4 replies
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  15. Started by sysD,

    Hi, I was wondering what applications exist for n-dimensional figures (eg tesseract, hypercube). Could we start with 4-space?

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    • 1 reply
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  16. Started by sysD,

    Three vectors: Vector A = (2,-5,-1) Vector B = (2,0,-1) Vector C = (-1,0,1) What does it mean to have an entire vector represented by cartesian coordinates? Do those points represent the head of the arrow? I know that squaring the components and rooting the entirety yields the magnitude of the vector, but can someone explain what these points represent? BTW Vector A can also be written as (a) with a right-facing arrow on top. In context, these three vectors are going to be used to define the volume of a parallelepiped.

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    • 6 replies
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  17. Started by saravananr,

    Dear Sir , I am in IX std . I felt difficulty in solving these problems . So please help me to solve these . I will be very thankful to you . Q 1 . Factorise the following - x^2+x/4-1/8 Q.2 . (1+3x)^3 is an example of a) monomial b)binomial c) trinomial d) none of these Thankyou

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    • 5 replies
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  18. Started by mooeypoo,

    Hi guys! So, yesterday was my first day as a grad student, and my first grad-level class. Yay. I'm also the only one in class that is not a computer-science major in undergrad, but rather a physics major. The teacher said that will help me in this class since it's more a 'math-oriented' course, but ... I'm... not so sure. I have a feeling that the approaches of how "proof" works or how to consider a proof varies drastically between what I am used to from Physics and what I'm supposed to follow here in compsci class. I might be wrong, though, but either I didn't manage to phrase my questions correctly in class or I completely misunderstood the process on the board.…

  19. Started by huda,

    hi, what this distance metric is called that equal ∑ ABS(ai-bi) thanks

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    • 5 replies
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  20. As many of you are aware, I post challenges in the Brain Teasers and Puzzles forum in order to help others expand upon their mathematical abilities. I actually have developed these challenges myself (except for the cow, a rope, and a round barn challenge) without looking them up in books or on the internet. I have been doing this since 1994 and have gotten pretty good at modeling - deriving mathematical equations that predict the behavior of a system. I have learned how to recognize patterns that allow me to reduce problems (series of numbers) into manageable equations that are put together much like pieces in a puzzle. Thus, mathematical modeling is the most extreme form…

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  21. Started by gman,

    a = 17 b = 83 p = 109 y = 161 f_gay = 0 f_guido = 3 s = 233 m = 2 trophies = 0 gamerpoints = 7985 games total = 113 Friendsy-1 = 55 Friendsy0 = 32 Can you guys get the final answer for me? I can't figure it out... It's not a pressing matter, I'm just really curious for the answer. P.S: Please explain how you answer this as well.

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    • 1 reply
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    • 1 follower
  22. Started by Heinsbergrelatz,

    I happened to find some random probability question im my book and im stuck on this one .... can anyone help me please, im really weak in probability so.... -There are two players A,B, player A gets to roll twice but player B only rolls once, whoever gets the higher number on the upper face wins ( A can choose the higher score of the two rolls), also note that if A and B draws, then B is automatically is the winner . What is the probability that player A will win? -For the same game, analyze the chance of any player winning 1) if both players can roll twice, 2) roll more than twice I will appreciate any help, thank you

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    • 2 replies
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  23. I have 4 attributes A,B,C,D each of them takes value between [0,1] I want to make function F(A,B,C,D) such that: The more A and B, the more the function value is. The more C and D, the less the function value is. if C or D equals "one" the function value is zero. I want this function also to return value between [0,1] How can I do that ?

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    • 9 replies
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  24. just saying...... racial bias

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    • 4 replies
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  25. Started by Sunnihippichick,

    I am preparing to take a pre-algebra class in college. It's been 20 years since I've been in school, and in high school I failed algebra, because of this I have chosen careers that avoided math altogether. I never understood the need for combining letters with numbers. lol. As far as I was concerned, letters are for reading, writing, literature, etc. and numbers are for counting. The whole thing always looked like a jumbled mess and scared the crap out of me. I want to make sure that I have the right instrument for the job. The course simply calls for a Scientific Calculator. I have noticed on here that people have definite preferences about which calculators to use. Sinc…

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    • 4 replies
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