Analysis and Calculus

If you went back to the birth of the Universe what is the odds you would exist? well you would have to factorize in countless events and at the start of the universe you need billions of atomic events to go your way, if you moved an atom slightly in another direction at the birth of the Universe, that would be so dramatic and changing to the present, the milky way may not event exist. And the odds of you existing from the start of the Universe is huge, well more beyond the odds of winning the lotto: Some of the factors in the odds of you being born is (Odds of Universe being born x Odds of Milky Way forming x Odds of Sun forming x Odds of Earth forming x Odds of Life …

Although I know the reason for order is the law of physics which are governed by mathematical order, but think on the most deepest level of reality and think of how there must be some areas of existence that are not ordered by maths these would not even be other universes but much further away and different than our cross section of reality, but I just wonder why we are living in a place of order? I know these is no answer but that it is just luck, but it's interesting how there is so much order, like why can't this order simply dissapear because at the heart and soul of existence maths is unstable and a miracle to be kept in such a stage and even if it turned out maths w…

Heyo, Anyone aware of a calculator out there on the internet with capacity to calculate logarithms with non-common bases? i.e. log(base2)4(16^(1/3)) - log(base4)0.25^(1/3) = x Yes, yes, I know x=11/3 I just want a quick way to check my answers. Alternatively, is there a quick and easy way to convert non-common bases to common bases? (base10)

I have been interested in a fourth spatial dimension for a while now. It's incredible to me that these basic shapes such as cubes and spheres can be continued on into a fourth dimension; a direction that doesn't even exist in our universe. As interesting this topic is, it's been quite hard for me to really dwell deeper into this subject, without having a good idea of what this shapes really are and how they might look. I know that a tesseract is basicly two cubes connected, but I still can't quite understand. Could anyone provide a good example for me? How would a hypersphere appear? That I don't understand in the least.

Given eternal time, every possibility will emerge an infinite number of times or given an infinite amount of space or both, every possibility will happen an infinite number of times, yet me being consciously aware of reality a possibility, so shouldn't I being consciously aware of reality happen an infinite number of times across space? so if the universe was infinite this would make absolutely no sense, because I am experiencing one life not an infinite number of life's, so how is this resolved?

3 ball /2=? 3 cup of water /2 =? . This is simple question. Give this answer and think again. . That,s the best answer, is not?

If you have 3 possibilities in a random number generator or lets say as an analogy, 3 balls in a bag, the odds of any particular ball coming out is 3/1, yet the odds of 2 coming out 5 times in a row is 3x3x3x3x3 = 243, so the odds of that occurring is 243/1, so lets say we did our random picking, and 2 came out 4 times in a row, then the odds of it continuing would be extremely unlikely, at 243/1 for it to come out a 5th time, so it shows that 2 coming out a fifth time is unlikely, yet at the same time there is only 3 options so then you conclusively speaking can realize that the odds of 2 coming out is both 243/1 and 3/1 at the same time? how can this be? Paradox? …

Mixing maths with science, many scientists are convinced there is other Universes and that they have varying laws of physics, I realize that this may effect mathematics in a real way. Mathematics may work differently in different universes, although it sounds uncomprehendbale that there could be a universe in which 1+1 = 3, it maybe possible, for if you lived in a universe were 1+1 always equalsed 3, and it was natural for if you put an apple beside another apple, there is three apples, you would not question 1+1 = 3, yet in our universe, maybe 1+1=2 just seems natrual and normal, for we grew up with it, and no nothing else than it. There may also be multi-multiverses…

the question is find the derivative of y=sqrt.(29arctan(x)) what i did was change it to make it y= (29arctan(x))^1/2 since ddx arctan = 1/1+x^2, I said the answer was (29/sqrt.(1+x^2)^1/2

http://estfuture.blogspot.com/2010/07/dividign-with-zero-theory-in-eenglish.html im not a math genius or teacher or anything. I dont know if anything similar has ever been done or not. But that's what i wrote down... i just simply got that idea in the evening/night when i couldn't sleep and so i wrote it down. Any thoughts, or hints to same work or pointing out flaws in it welcome (besides the posts that are just going to respond that u cant divide 0 - guess ur still 100% sure that earth is flat too).

Hi I was wondering how come when they show the calculation of a second moment for a particular variable they don't also square the binomial function but only the term outside it. for example this is how they show it [math] \begin{array}{l} \overline {n_1 ^2 } = \sum\limits_{n = 0}^M {W(n_1 )} n_1 ^2 \\ \overline {n_1 ^2 } = \sum\limits_{n = 0}^M {\frac{{N!}}{{n_1 !(N - n_1 )!}}p^{n_1 } q^{N - n_1 } } n_1 ^2 \\ \end{array} [/math] why not also square the n inside the W function?

it is argued by colin leslie dean that no matter how faultless godels logic is Godels incompleteness theorem are invalid ie illegitimate for 5 reasons: he uses the axiom of reducibility- which is invalid ie illegitimate,he constructs impredicative statement which is invalid ie illegitimate ,he cant tell us what makes a mathematic statement true, he falls into two self-contradictions,he ends in three paradoxes http://www.scribd.com/doc/32970323/Godels-incompleteness-theorem-inva... http://gamahucherpress.yellowgum.com/gamahucher_press_catalogue.htm http://gamahucherpress.yellowgum.com/books/philosophy/GODEL5.pdf First of the two self-contradictions …

(mg - ma)/g = 1 - a/g Reasoning = (g - a)/g (because mg - ma = g - a) = g/g - a/g = 1 - a/g Is that correct?

I have rather nasty vector partial diff eq which I think has been addressed before; however, when I vistied a few websites to classify the equation the notation of these websites is not necessarily what I am accustomed to. I have attached the equation here & was wondering if anyone could point me in the right direction so I can see how others approached solving the problem. I suspect this has applications in electromagnetism, but it may be applicable elsewhere, MAYBE gas dynamics? I have a solution but would like to compare mine with others. Appreciate any feedback eq of choice.pdf

Firstly sorry if this is in the wrong forum and secondly sorry if my question is so simple, it's just that I cannot get my ilogical head around it. I have an appliance that's on for 3mins and off for 5 mins and what I want to work out (but am having great difficulty doing) is how long the appliance is on for during a 24 hour period. Thanks

The classical analysis has errors. That to eliminate them I have thought up the structural analysis. The basic formula:[math]\displaystyle \int f(a+x)dx=\int\limits_{a}^{a+x} f(t)dt[/math]. It leads to following contradictions for example: the Structural analysis: [math]\displaystyle\int(a+x)dx=\frac{(a+x)^2}{2}-\frac{a^2}{2}\not=\int(a+x)d(a+x)[/math]; [math]\displaystyle\int\limits_{0}^{x}2tdt=\int2xdx=x^2[/math]; [math]\displaystyle\int\limits_{0}^{\sqrt{x^{2}+C}}2tdt=x^2+C[/math]. The historical background: HERE

I really dont know how to call those: n E i i=1 in english, so forgive me for the title, anyway, I have come with a big question for you forum, I have lately been working with n E 1/c^i i=1 where: c > 1, c is natural working with those I think I may have found a general formula for any c (that satisfies the past requirements), I was wondering if you have ever heard of it and also if you have it, I would appreaciate. Later I will post my thinking, procedure and conclusion, meanwhile, thank you for your help.

Hi! I need some help to solve this... x = 5*log_2(x) I proceed 2^x = 2^(5*log_2(x)) ==> 2^x = x^5 but I can't solve any of these cases. The answer is x =1.177278550355 (approx.) Thanks!

Hey there forum, I have been reading this awesome book called The Man Who Calculated (really recommended, it's a good recreational book), in this book the main character faces different mathematical problems which he solves easily, in the book it appears one which he only answers but doesnt explains how he solved it, so I in my curiosity tried to solve the problem through math, but it became troublesome, I would really appreaciate if someone here helps me. Here's the story of the problem: 3 sailors got some money for doing a very good work, the amount of golden coins they were going to get was between 200 and 300. They were going to split it in the morning. Du…

If I just make a statement such as "it took 5 seconds to rotate 360 degrees", how would I go about getting an exact answer for how many radians per second that that object rotated?

I want to model my site behavior, finding out what would be a best way to show certain ads. Now, there is a lot of ways to show them: I could, for example, always show the ads I earn the most from, but that doesn't make sense because if user doesn't click once on an ad, he might not click again . On the other way, if I go and show them ordered by price, I might earn "some" cash, right? There are lot of ways to do so. Hence my modelling need. Can I model user behavior using database with user clicks? Should I use that db to create some sort of distribution for modeling users? I don't have much experience in modelling, only one semester at my uni. Thanks in a…

Can anyone help me with this asignement? I think im shouldn't be a problem to those who are good at maths, and it would mean a lot to me. Here it is: Do a project of a bussiness block in the building that has shape like in this picture: http://img163.images...i/imagewm0.jpg/ Building has a rectangular base, dimensions: 150m length, 72m width.Maximal height of the structure must not be higher than 75% of its width because of the stability of construction or less than half of its width because esthetic reasons.Minimal height of room in public buildings is 2,5m. 1) Form a model of structure with curved roof(shown on the top picture) in case that height of bu…

Hello lovely's, I am having some issues with my calculus project for this term - my issues mostly involves identifying what the question is asking. The overall project is about fuel optimization, and focuses on using integration. I am pretty close to completing this project, but have some minor hiccups. 1. The image attached is the graph given, which is a function of m(v). [math] m(v) = 1.9ve^{-v/40} [/math] Question: At what speed does the car get its best gas mileage? Answer: Take the derivative of m(v) and find it's critical points. The absolute maximum value will be the answers. The x value is the speed, while the corresponding y value is the gas mileage…

In the preface to William Dunham's book "Euler: The Master of Us All", he wrote, [math]\lim_{t\rightarrow 0^{+}} \frac{1-x^t}{t} = -\ln x[/math] for [math]x > 0[/math] Can anyone tell me how he got that result?

Can anyone help me do the math for risk analysis? Please follow this link http://www.a2la.org/guidance/Risk_Analysis_Z540-3.pdf I am not certain if my process that involves guard-banding measurements that have a TUR<4>1.5 to 80% to reduce false acceptance/rejection based on Dave Deaver's http://assets.fluke.com/appnotes/Calibration/ddncsl94.pdf meets the new requirements.