Xittenn

Only the giantness of the problem was 'given'! Xittenn ( name change in t - 9 days )

The probability of such an event can be found using the following equation: [math] Probability = \frac{favarouble \; outcomes}{total \; number \; of \; outcomes} [/math] This information is really difficult to determine in your scenario, as I'm sure everyone is already in agreement. What are the total number of outcomes? Everyone has noted the 'fundamental counting principle' where it is noted that odds are found by multiplying chances of so on and so forth. The fundamental counting principle states that given say 5 shirts and 3 pants one can choose from 15 different outfits to wear when each item is 'chosen' in 'combination.' So what you are really trying to find here is the total of all possible outcomes, by way of the fundamental counting principle. You would then define your set of outcomes that you wish to isolate, and using the first equation [math] p= \frac{fav}{tot} [/math] find the percent probability that the event would occur. Now there is more specialized math that makes finding these answers less difficult. These maths are however not easily summarized in a few sentences. But even still, while avoiding these maths, using logic to draw or envision a tree is difficult. The process could still be explained using a more simplified example. 1) Define the total outcomes or the 'sample space' 1 blue shirt, 3 red shirts, 1 green shirt 'and' 2 jeans, 1 dress pant 5 shirts 'and' 3 pants sample space includes 5 x 3 = 15 possible outfits . . . 2) define the favorable outcomes 3 red shirts 'and' 1 dress pant there will be 3 x 1 = 3 outfits consisting of a red shirt and a dress pant 3) find the probability [math] Probability = \frac{favarouble \; outcomes}{total \; number \; of \; outcomes} [/math] P = 3/15 The problem in defining a solution for your question now is defining these. Given the giantness of the question, logically compiling this data is, mentally, very difficult. But even beyond this other mathematical knowledge is required to simplify it and make it manageable. concepts required: i) Factorials ii) Permutations and Combinations iii) Pascal's Triangle and the Binomial Theorem ( can't find simple overview ) It becomes less giant as you reduce your sample space from statistics based on the country you live in, to the number of passenger vehicles on that given road at that time and who might have a dog that is a Dalmatian. This would naturally require a telephone survey . . . . . . . . . . . . . . . . . . . .

As my doctor keeps telling me, when I have my annual tests done, HIV is no longer considered a death sentence. Well at least not in Canada where treatment is readily available. This isn't due to innovative ground moving breakthroughs as much as it is about improving the regimented medications that help control HIV/AIDS. Magic Johnson had a lot of resources to ensure that he received the best medical help that money could afford, or he moved to Canada ( not a MJ Biographer ). In short people are living their lives out with the disease, but it is still a sucky thing to have. I just got my Hep A/B Vaccination, literally last night, the first of two and three. I hope one day to get my HIV vaccination.

Nothing is trying to convert the energy stored in the rotation of the earth to another form. Fundamental laws of physics state that energy cannot be created or destroyed. The second you try to use the energy stored in this spinning object, the object will slow down. You only get out what you put in. So whatever energy these rockets give the giant spinning space thingy, is the amount of energy that you will get out. Pretty basic concept . . . . . . The need for flywheels to be heavy, is to resist instant changes in their velocity or rotational speed. Flywheels are buffers on the drive train of vehicles not outer space energy sources . . . . unless of course it is a photo-ionization driven flywheel device \o/

The thought of flywheel energy driven by photo-ionization has always seemed to me like a good idear. +1 for photo-ionization driven flywheels I have design specifications in mind, but I do not wish to share with the class. Mostly because I loath being told I'm wrong!

In concept at least, solar sails do not weigh much of anything. Also for all intents and purposes we have no use for such technology, but you never know when something like this will come in handy. I guess it would come down to there being a lot more space in space, and it would also be an incorporated system that included light and charge harnessing. I find it hard to believe that this will never be a real project given the continued growth of humanity. The value of 2mW/m^2 might change some day. On a side note, it's funny that we look for the stars that might have life in orbit. Maybe we should look for the missing stars . . . . [star trek music here]

I wish to add my two cents. I have a game design certificate and I like the fanciful art of creative writing but science has always been my passion. I'm not arguing either way about the plausibility of the technology. Most of my opinions here will be generally considered questionable by a good number of others. When I was in high school I wanted to excel beyond and take the worlds present state of technological advancement to another level. I made the sad mistake of believing that I could do it without going to school. I started my life after high school working in trades. I worked as a machinist but I also fixed the machines and worked on industrial controls as well. This learning was highly beneficial and if you were to begin a list of things to learn you might want to add a few trades to it. Also go to your local college and pick up some of the material for trade professionals. Math for engineering and computer sciences has been, for me, a hobby that has taken up a significant amount of my time. Everything you will be doing will require math far beyond what they will teach you in your degree program. You might want to think about getting two degrees, one in math, and another. The reason I believe this is important to you is that most of your work will be similar in nature to creative writing and video game making. Instead I will call it(others may disagree) R&D and modeling. I think that if you are serious about working on projects that include technology beyond our present time frame, that most of your work will be done in simulation. This brings us to the next point, programming. Learn a platform. Keep your scope in mind and develop your workspace. You do not need to know Windows dev and Linux Dev, choose one, and stay with it. Choose your tools and learn how to make your own. The point is to have the skills but avoid making it your life's work, because this is not the target. Get an education. Get a degree in the field of focus that gives you the most freedom to do what it is that you enjoy doing the most. You need to pay bills! This will also allow you the ability to develop a name in a given skill set and also allow you the opportunity to save for your own business. And this is a big point. Research like this will probably be funded out of your own pocket. You will work your entire life to get the credentials to be allowed to work on your projects and in the end you will pay for it as well. This means that you will have to find niche technologies that you can patent. Portions of your research can produce a revenue for your R&D entity to continue its growth. I have chosen to get my degree in Bio-Chemistry and will be entering a degree program next fall. Currently I am working on freelance programming and component design for CAE. I am working on a scientific computing engine or a CAE software suite(DUALITY ©2010 - 2011 Entangled-Logic Technologies) that will be my platform for development. Set up a site to share a portion of your software technologies with the community; the community is your friend. Don't forget to educate yourself in some of the basics of the laws that are in place which will guide how you approach this as well. And learn about lawyers and what role they will be playing in your life. I hope to do more as my level of education, knowledge and experience expands. If all else fails, there's always creative writing and game design.

This Sarcos site broke my windows explorer. This is something that has not happened to me in 20+ years of internet browsing. I had to reset!

I'm calculating about 5mW/m^2 close to the sun. Given the nature of the question I think that this is sufficient still, to keep the question alive. Just my opinion though! That's milliWatts/meter^2 . . There's also the carried ionization energy as well!

I was thinking a lot closer to the sun, I'm still not completely convinced of futility. Also, it isn't absolutely necessary that the coupling device be sails. Giant stations could magnetically redirect ion flow! Just brainstorming.

well the [math] t+tm' [/math] and [math] t+(d-l)m' [/math] typo's were a bit much for me . . .

Proper terminology for this theorem seems to be the Solution of Linear Congruence. I'll look harder next time.

i) let it couple, achieve spin, change flank of sail, repeat . . . . . . . . (or something like that) ii) space rocks or planets . . . . energy farms on mercury iii) solar powered ion drive . . . . ions collected off of the sails

The most practical application that for me makes it seemingly understandable, is electronics. When gauging power supplies, the mathematics involved identify anomalous resistance values as imaginary. This relates to a variety of effects that produce what is known as negative resistance(imaginary.) One cause of this is internal impedance in the power supply. Not to mention it's uses in Z Impedance.

Just stepping out there http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2168647/?tool=pmcentrez

OP is clear on the 'no-wind' scenario, but the more evolved vision of this idea I think is pretty sound; granted trying to harness 'no-wind power' is kind of a bunk idea. The reality though, according to wiki, is that 6.7 billion tons of solar particles are ejected hourly at velocities of > 400km/h. I haven't the foggiest what this would directly translate to in terms of feasibly harnessable energy but I'm sure it is something worth investigating. A turbine fitted with the appropriate magnetic devices could prove beneficial in the future for providing us with useable forms of energy!

The following is taken from "An Introduction to the Theory of Numbers" - G. H. Hardy & E. M. Wright; 6th Edition, page 62 Theorem 57. If [math] (k,m) = d, [/math] then the congruence (5.4.1) [math] kx \equiv l ( mod \;m ) [/math] is soluble if and only if [math] d|l [/math]. It has then just [math] d [/math] solutions. In particular, if [math] (k,m)=1 [/math], the congruence has always just one solution. I'm having a hard time with the proof that "It has then just [math] d [/math] solutions." The following is clear up until the last point: If [math] d|l [/math], then [math] m = dm', \; k=dk', \; l=dl' [/math], and the congruence is equivalent to (5.4.2) [math] k'x \equiv l'(mod \; m') [/math]. Since [math] (k',m')=1 [/math], (5.4.2) has just one solution. If this solution is [math] x \equiv t(mod \; m'), [/math] then [math] x = t + ym', [/math] and the complete set of solutions of (5.4.1) is found by giving [math] y [/math] all values which lead to values of [math] t+ym' [/math] incongruent to modulus [math] m [/math]. Since [math] t+ym' \equiv t + zm'(mod \; m) \equiv m|m'(y-z) \equiv d|(y-z), [/math] there are just [math] d [/math] solutions, represented by [math] t, t+tm' t+2m',...., t+(d-l)m'. [/math] I understand the cascade of congruences on this last point but I fail to understand how it proves that if [math] d|l [/math] where [math] d > 1 [/math] that there are [math] d [/math] solutions . . . . appreciate any thoughts, Xittenn

With all the resources that a corporate network such as CBS has, how is it that while broadcasting the death of the most iconic baddy of the last decade they end up with this @45 seconds I mean this given that a bunch of twelve year olds made , I think the networks need to start hiring twelve year olds! So who is the new bad guy? o.o

This is an example that exemplifies what comes to my mind when I think on the subject!

Well when I see some math and some biology I will read the content, as I always do! We could start a thread if you wish?

I looked over the site and I believe they may have more ulterior motives, possibly delving into pseudoscience. The first thing that struck me was their choice in symbol and its incorporation of the golden ratio. This for me implies a holistic approach implementing numerology and weird stuff that I know very little about because I tend to not indulge in these, what I consider, 'naive' practices. This was further asserted when I read the following under objectives: So no, not really keelanz. I am far more interested in rigorous mathematical studies that can result in a better understanding of biological activity! @ajb, exactly

Could you elaborate Green Xenon? What kind of operations do you expect to gain through such a system? Regardless there will still be a dependence on data width unless opcodes are interpreted serially. This doesn't exist and for it to work I think you would be creating a need for more buffers and memory to allow for serial instructions. I'm sure this could become optimized and be made a viable solution, but again it isn't on the standard market and I can't think of an example off of the top of my head. 1Hz???????????????

Sorry the d was supposed to be an h. . . the only way to compensate if you are trying to bend it circularly and then twist would be to shape it as an ellipse. The equations for an ellipse that will ensure proper form after twisting are pretty complicated and rely heavily on the properties of the material. This isn't really a math question this is something I would suggest you research whithin the trade itself. MHO! and ID was simply my thoughts on the issue with stretch, as I had posted .. . .

Just to confirm, you are solving by finding the length of the banister as: where: [math] d = diameter \; of \; the \; stairwell [/math] [math] c = circumference [/math] [math] h = height [/math] [math] l = length \; of \; the \; banister [/math] [math] c = \pi d [/math] [math] l = \sqrt{c^2 + h^2} [/math] divide the [math] l [/math] by 6 and you have the exact length of the pieces. You are anticipating some stretching in the material and you are compensating to some extent. The stairwell diameter is being taken as the ID from the inner side of the banister and this in fact constitutes a major portion of your compensation! If this is the case then it would seem to be more an issue with your bending technique. I hope I haven't overlooked anything or I might look foolish :/ You aren't trying to bend them into their circular form and then twist them are you? Because I don't think this will work for you . . . [edit] changed d to h [edit]

There have been some debates, mostly arguments against, about the research being done by the Professor Günter Nimtz who claims to have tunneled Mozart's 40th Symphony at FLT. The implications of evanescent coupling is the very possibility that maybe we could tunnel long distances at great speed, much like through a wormhole. His papers can be found online and in the ArXive and the reasoning and arguments against as well. All I am saying here is never discount the possibility, if there are people willing to dedicate themselves to trying to find possible solutions to the impossible than it can't hurt to keep an open mind right? I wish to play Portal II