Mathematics

If 50÷1 is 50 so 1 fits 50 times so I need to ask you how many times does 0 fit in 0 0 times right? So 0÷0=0?

Lotteries the in the land of the leprachaun. http://www.bbc.co.uk/news/world-europe-41549781

Ok, imagine you had an infinite deck of cards of random faces - one of those cards has a picture of you on it. The chances of course are absolutely ziltch of you ever picking out the right card - but suppose as a fluke, or miracle, you manage to pick the right card, we would say (?) the chances of you picking the right card was 1 in an infinity. Let's change the situation and the rules slightly. This time we have a second deck of cards as well as the first deck of cards. In the second deck of cards, you have an infinite amount of blank cards. In the first pack, still an infinite amount of faces. This time you are not looking for your face specific…

Hi, another question for you fine folks. Just getting into the use of sigma and that thing is super handy. And I know if I wanted to solve for say 1 through 10 I can just use i(i+1)/2. But what if the index number is greater than one? The equation doesn't work anymore. Is there a modification or different equasion to use? Thanks

So say we have one atom of Helium, and one atom of anti-Helium, when they come into contact the total energy produced should be equal to this (If I didn't fudge on the calculations which is why I'm asking this): where mH is moles Helium, mAH is moles Anti-Helium, mMH is the molar mass of Helium, and mMAH is the molar mass of Anti-Helium. I just was bored so I decided to try to come up with a formula for calculating the total energy of an atom, and I chose helium for whatever reason.

I am writing from turkey,. in assumption we hold PhD degree ,can we work at european countries or usa?

How much would time pass between watching the sun set from ground level and then watching it set again from the top of a sky scraper? I heard once that this could be done using one of the towers of the World Trade Center. So I assume one could also do this using the Sears / Willis Tower in Chicago. Someone also told me that the world's tallest tower in Dubai is so huge that the local weather broadcast tells of two times for sunset. One time is for the observed sunset at ground level and another time is for the observed sunset from the observation deck near to the top of the tower. unfortunately, I have recently gotten involved in a debate with someone who believ…

Paper: Author [Jordan Micah Bennett] (myself): advertising links removed by moderator ... I am new here. Please express your thoughts.

I have this hash function: hash = ((2860486313 * (3367900313 * x XOR 4093082899 * y)) RIGHTSHIFT 32) & 255 Anyone know if this will produce repeating sequences when the inputs are whole positive numbers starting at 0 and going up to 2^32? An example would be x and y starting at 0. X is incremented by 1 until x becomes 2^32, at this point x is reset to 0 and y is increased by 1. This is repeated until y is 2^32.

Circle is shared by infinite quantity of equal triangles. Sides a and b are radiuses of the circle. Side c is chord, At=1/4[(a+b+c)(-a+b+c)(a-b+c)(a+b-c)]1/2 At=1/4[(2r+c)(c)(c)(2r-c)]1/2 At=1/4[(4r2-c2)c2]1/2 At=1/4[4r2c2-c4]1/2 c=2Pi*r / infinity Ac= infinity*At Ac=(1/4)*infinity[4r24Pi2r2 / infinity2-16Pi4r4 / infinity4]1/2 Ac=1/4[16Pi2r4-16Pi4r4 / infinity2]1/2 Ac=Pi*r2 At is triangle area Acis circle area

Ladies and Gentlemen, good day, I have unraveled the pie mystery. We all know what pie is, the length of a circle. M=length of the circle K=2*Radius=Diameter M -- = pie K P = 3.145 + the rest Lets say R = 1 M = 3 + 0.145 If it were M = 3 It would make an even sided triangle. M = 3 + 0.1 + the rest "the rest" concides into a SINGLE dot. Of about 0.0456 So we have M = 3 + 0.1 + 0.456 If we fold out the circle and straighten it into a straight line we get --> ----- + ----- + ----- + - The total of which it comes means that the length of a circle is just a bit more than the total length o…

Hello everyone, im new here seeking an answer and hopefully more in the future. I'm in a dilemma, there is a way of calculating the fundamental frequencies, i.e the resonance of a string, however i need o work out the resonance of an object. for example, if you ping a wine glass, itl give you a frequency (usually about 500hz) and if you play that frequency to the glass, it'l begin to move and eventually shatter because of the wave pressure "match" the frequency of the glass thus resonating with it. ive included the formula for the resonance frequency, however i have no idea how to apply this to mass and density of object, as apposed to the tension and length and mass…

I derived this system of differential equations this week as I was researching possible profiles for water diffusers & nozzles, used when joining pipes with different bores. Mathematics: Solve this system of differential equations. \[ x' = y^{-2} \] \[ y' = - \sqrt {(t+1)^2- y^{-4}} \] \(x'\) and \(y'\) are derivatives with respect to \(t\). I have obtained a numerical solution (which was non-trivial because of the numerical instability of the Euler method with this system of differential equations) but I am curious to know "does an analytical solution exist?", which would be more efficient and convenient to use. Derivation of the syst…

I'm really bad at this sort of thing and this is not homework, just curious about learning how to do this type of problem. 80 is the represented number of 25% of the people Find the other represented number for 75% of the other people

Front side: Progress Sums:-1,-2,-3,-4,-5... 1,2,3,4,5... We express the formulas:Sn= (a₁n2+n)/2, ; Sn-1=(a₁n2-n)/2,. (n - Number of summing members, a₁ - first member of the progression. With a negative or positive value n. Expressions Sn-1, Sn-2 should be understood: subtraction from the number of the member taken). First option: Example: Sn= (a₁n2+n)/2. For n = -5 we have: (-1*(-5)2+(-5))/2=-15; For n = 5 we have: (1*(5)2+5)/2=15. Example: Sn-1=(a₁n2-n)/2 For n = -5 we have: (-1*(-5)2-(-5))/2=-10 For n = 5 we have: (1*(5)2-5)/2=10. Triangular: Progress Sums:-1,-3,-6,…

Hello everyone, I'm new here and I have a question; So we know that π is a circle's circumference/diameter So 2 rational numbers dividing and cames out as irrational. Can you explain me how is this happening and is there any examples like that? Sorry for bad English btw.

I found a formula for a magic square that guarantees 5 out of the 9 numbers to be perfect square numbers (the 4 corners and the center) for any value of (x,y) And before Microsoft Excel succumbed to rounding errors, I found four specific values of (x,y) which bring this up to 6 out of 9 (the 4 corners, the center, and one of the 4 sides) (1,3) with a central value of 125^2 = 15,625 and a right-hand value of 95^2 = 9,025 (1,10) with a central value of 1,105^2 = 1,221,025 and a right-hand value of 529^2 = 279,841 (1,59) with a central value of 35,405^2 = 1,253,514,025 and an upper value of 2,831^2 = 8,014,561 (3,41) with a central value of 86…

I heard once of an equation that was proved in a simple way and then the solution was lost. This happened some hundreds of years ago, I think. Does anyone know this equation ? I forgot the exact context.

I had some arguments with my calculus teachers about limits and integrals, that I obviously lost, but never did I understand the principle. If the whole idea of an integral is to determine the tendency of a tiny slice with which you can then describe the whole by multiplying the slice by the number of slices, then "tending toward zero" is a characteristic of your slice size to begin with. If you need to look at the thing and as you consider your formulae, you make the determination that this or that term is tending to zero...how can you, or at what point is it proper to "call it zero"? Regards, TAR Where this comes into LIGO is the fact that in order to sense…

I'm going to try for the "Mathematics" forum for this topic but no worries if the mods decide to move this to "The Lounge". I've posted this image which I've described as a "Three-spoke dovetailing tile tessellation". Trispokedovetile tessellation by Peter Dow, on Flickr which is a tessellation of this tile shape, Trispokedovetile by Peter Dow, on Flickr Check my Flickr page for the preceding design iterations and inspiration. I've named the shape Trispokedovetile which is a contraction of "tri-spoke dovetailing tile". "tri-spoke" because the shape is similar to a 3-spoke motorcycle wheel with three bites taken out of it. "dovetailing" because t…

Hello Everyone, I'm about to transfer to University at Albany for FALL 2017. I'm a Meteorology Major and Chemistry Minor. I'm writing this because I want to know what's the best scientific calculator in the store right now. The calculators I'm looking at are TI- 36X Pro and Casio FX-115ESPLUS. Also FC-200V I was wondering if these are the strongest calculators in the market right now. I want one that can be good for my Calculus 2 and 3 classes. Also for Ordinary Differential Equations and possibly in the future Partial Differential Equations. Also, I'm taking Physics 1 next semester, any suggestions? Thank you

Correct me if my thinking is wrong. I have a series of independent events; in each of those the probability of a desired outcome is 0.1, for example. I need to find out the probability of getting a desired outcome at least once in a random series of n events. It's been a while since I'd done any probability theory. The only way of not getting a desired outcome is if all n events produce a non-desired outcome. The probability of a non-desired outcome in my example is (1-0.1)=0.9, therefore failing n times will have the probability of 0.9n and then finally the probability of at least one desired outcome will be (1-0.9n). a) Is this correct? b) If events are ent…

Let us say you have a ruler laid out on the floor, with the spacings arranged such that 1 increment = 1 meter. You are standing at 0. You start flipping a coin an infinite number of times. When you get heads, you move 1 meter forwards (positively) on the ruler. When you get tails, you move 1 meter backwards. If you flip tails at 0, you stay at zero. Let's say that you flipped the coin once and it landed on heads, so you are now standing at 1 meter. With a potentially infinite number of coin tosses, what are the odds of eventually arriving at 0? How different would it be if the ruler was infinite as opposed to finite? --------------------------------------------------…

I've been fooling around with the Gregory series: [latex]\sum_{k=1}^{\infty} \frac {(-1)^{k+1}}{2k-1}[/latex] and brought it into the following form (since the series converges, I believe I can partition the Sum as I wish, I think. At least when I simulate it for [latex] n = 10^7[/latex] terms it still converges towards [latex]\frac {\pi}{4}[/latex]). [latex]\frac{1}{2}\sum _{k=1}^n\frac{1}{\left(16k^2-16k+3\right)}[/latex] Which sorta reminds me of the Geometric series, though it is quite different. My question is if the series of the following form is always transcendental: [latex]\frac{1}{2}\sum _{k=1}^n\frac{1}{\left(16k^2-16k+w\right)}[/latex] whe…

I've been working on a solution for one of the millennium prize problems (the Navier-Stokes Equations and Smoothness problem), but one of the finalizing things I need is a formal definition of 'smoothness'. The problem asks for proof which involves a smooth, divergent free vector field, a smooth function for a force, and a smooth function for pressure.