Mathematics

Please read and check the following two short proofs, which I presume to be inaccurate given what is proven, as I am looking to know what is wrong as the case may be. Thank you in advance!: 1) Let [latex]q_1, q_2, q_3,[/latex] … be an enumeration of [latex]A = \mathbb{Q} \cap (0,1)[/latex]. 2) Select a real number [latex]r \in (0,1)[/latex] uniformly at random. Note: A common way of doing this cited by mathematicians is the theoretical flipping of a coin infinitely many times followed by some trivial 'clean-up' given that there are two binary expansions of each dyadic rational, e.g. 0.1 = 0.01111111... 3) Let [latex]B = \math…

36 / 6(2+2+2) = ?? What is the right answer?? 1 or 32 ?? My friend told me, "use BODMAS.. ==> 36/6*6 ==> 6*6= 36 "

I'm running analytics and need help setting up my formula. I remember from my calculus days there is a formula to find the optimal output but I cant remember, here is what I'm looking for: I have a total rev per patient and I have total number of patients seen. Ive noticed as the number of patients increase the rev per patient decreases. I'm trying to find the optimal number of patients seen to have the highest rev per patient. rev per patient tot patients 248.89 906 240.19 851 227.03 947 252.67 896 276.60 772 261.…

Im working on a little problem for an idea im having. If you stand on earth and look out over the ocean. Your field of vision would be almost 180 degrees. But lets say 150 degrees for this example. Being 6 feet above sea level puts your distance to the horizon 3 miles out. This means that by trigonometry you can draw a triangle with 3 miles on two sides and the angle between them being 150 degrees. This would make the line between them be 5.8 miles. Ive been wondering. By math, how much of earth curvature would be seen on each side of the middle where the curvature from your point of view would be zero ? Earth will curve down to the sides in respect to the di…

Here is my formula for the area of n layers of appolonian gasket(assuming no circles past the nth layer): $$πR^2 - (πR^2 - (\sum_{0}^{n} x_n*πr_{n}^2))$$ Here R is the radius of the outer circle, r is the radius of an inner circle, x is a function that represents the number of circles in a given layer and n is the number of layers. I know this is right as far as calculating area is concerned but how would I actually represent this if I wanted to show someone else this formula? The reason I only have $πr_{n}^2$ once is because here is what the sum would be like for a successive number of layers. If I assume I have this kind of Apollonian gasket: th…

Hi, I am a math tuition teacher. Now my students are preparing for their final exams. They are little slow in math problems. Actually i need to check the answers fast. So i tried many online calculators. Finally found an online percentage calculator to calculate problems. But it is confused for me how it works and gives the result. Could someone explain me?

This is the last missing piece I need to complete my compression algorithm, new one. Let's say I have 4 bits with 2 bits set as 1, 0011. The total number of permutations for this number is 0011, 0101, 0110, 1001, 1010, 1100, 6 cases. This can be computed using the calculation. 4! / ((2!)(4-2)!) = 6 Now I want to be able to find the nth sequence, for instance 1st number is 0011, second number is 0101. So if I say n=5, I want to be able to get the 5th permutation sequence 1010 from the initial 0011. How do I do this?

Hey all. I am trying to figure something out that I can't. Basically, for some reason I wanted to find the inverse of y = x7+x5. How the heck would you do that. I know it is probably possible, but how?

06:12, 06:16 06:12 1 The root digit; a point or a circle, not a duet. Black standard hover. 2 The fount. Opposite, and polar the line. 3 The minor triangular. Wit, a tutor of the second a quiver. 4 Major, or the square: a fix, a gradient a scale. Skeleton. 5 Minute integer; agent of a quartet. A note on a blank canvas a pin 6 Naught. screw. 7 The enigma; corrival for the root digit. Sinister asylum, the lens. 8 Eclipse number. Opulent mien a lever. 9 Bone immaturity. The phobia, temper; a nexus. 10 The flux, a cross of hue and tint, multiplied. The perfect blend; the fly. 06:16 2 (8) Band (.2). 3 (9) Bezel (.5). 1 (10) Lug (.1).

Apparently [latex]xe^{-x^2}[/latex] is an odd function. I found out the long way finding the integral sums to zero (btw, excluding trivial cases, is that a sufficient condition to conclude a function must be odd?). However, i am supposed to be able to tell this was odd by inspection (similarly for even functions). I'm sure they don't mean i need to be able to determine the parity of any function by inspection, but does anyone know of any hints and tricks for doing so? I'm starting to see a pattern where the parity of a Gaussian integral multiplied by a polynomial is equal to the parity of the polynomial. Any others?

Hey, I have a question about math. If you take : - 8 = 3/19 n (imagine the 3/19 as a fraction.) you need to find N. To do this you would flip the 3/19 to get 19/3 and put it of the other side of the equation. Getting: 19/3 * -8/1 = n Getting in the end the answer: -152/3 = n How does this give the answer?

WHEN I Was A Teenager I Used To Create Mathematical Patterns Using A Pyramid Design To See If Any Sums Or Calculations Had A Pattern. RECENTLY I wanted to learn Binary Code for Fibonnaci. I wanted to see If there was a secret Binary Code for Fibonnaci. The Pyramid Maths Works By Using The Pattern Of Fibonacci on the Bottom Row,, Then Adding Number Above On The Next Row. To Create The ​Number On The Row Below It.. So To Create A Row Above, You Add The Same Fibonacci Pattern To The Sequence Of Numbers On The Row Below It.. 0+1 is 1. So you Add The 0 On The Row below + The Beginning Number Of The Row Above In The Sequence To Create The Next Number In Sequence On The Row …

Using the linear regression method outlined in the following https://www.easycalculation.com/statistics/learn-regression.php I wrote some javascript to find the outliers of a given set. However I would like the method to work with curves and in 3d. Not sure of the forumlae in 3d. <script> function findLineByLeastSquares(values_x, values_y) { var sum_x = 0; var sum_y = 0; var sum_xy = 0; var sum_xx = 0; var count = 0; var x = 0; var y = 0; var values_length = values_x.length; if (values_length != values_y.length) { throw new Error('The parameters values_x and values_y need to have same size!'); } if (values_le…

Hi, Could you please help me to linear this, my model is non-linear so it cannot estimate. someone suggest me using the Taylor Expansion but I think it to hard to apply the Taylor expansion in my case Thanks you so much! Chung How to linear this equation.pdf

Hello, advise please books which you consider effective for studying of this science. I thank all who will write, thanks!

So this is an equation I found with interesting properties. Pretty much x+y=z and x-y=z are linear equations of 2 equations 2 unknowns. If you solve for this equation you get x=z and y=0. Now I haven't got a chart for x-y=z, Google shows the x+y=z chart but not the other one, if you have it please show me. Now for z=(x+y)/(x-y) it generates an interesting chart in google, same goes for z=(x-y)/(x+y). I'm not sure if they are off by 180 degrees or simply upside down. Now when you multiple the two together you get z^2=1 which is z=1 not z=0. This seems to be an interesting property and if someone can give me an explanation on this it would be cool. To sum up: 1. Ge…

Just in attempt to understand probability better, what if you are a 50 percent shooter, but you only count every other shot. Are the odds exactly the same, however you select your 100 consecutive shots that count, or does alternating the ones that count allow for a greater probability that the misses and hits will alternate, and you might count a greater number of hits, or a greater number of misses in a row?

According to the law of infinite probability, if you were to take a good basketball player and have them shoot 100 free throws an infinite number of times (ignoring fatigue) is it possible for him to eventually miss all 100. I am an assistant coach and had an argument with the head coach over this. Thank you.

How many equations would you say this expression represents, 1 2 or 3 or more? [math] \frac{x- x_{1} }{ x_{2}- x_{1} } =\frac{y- y_{1} }{ y_{2}- y_{1} }=\frac{z- z_{1} }{ z_{2}- z_{1} }[/math]

hi can someone help me work this out. i think it has something to do with the exterior angle of a triangle is equal to the sum of the interior angles but i cant work it.

Considering the problem of transporting n items across a river using a boat that can carry k items, where some pairs of items cannot be left together unsupervised. Let G be the simple graph whose vertices correspond to items, and whose edges join pairs of items that need supervision. How do I show that the minimum size of a boat k for which a solution exists is either Vc(G) or Vc(G)+1, where Vc(G) is the size of a minimum vertex cover of G.

consider the function y=a^x where a is a constant. show that x= ln y/ ln x i tried using the log formula but i have had no luck can someone help me please

I am wondering if someone like me who likes math would like to work this problem out for me since it has been about 10 years since I have done much calculus. I am just playing a clash of clans clone game and would like to know the expected value of the premium currency it would take to knock off 14 days of build time. The game is Galaxy Control. The name given to the premium currency is redmin. I have taken 132 data samples, or in other words I have recorded 132 instances of time in minutes which are each associated with a value of redmin. It would however be more accurate to say that each value of redmin is associated with a range of time. For example, while the time lie…

Ever wonder how the computer is able to preform arithmetic operations? I have a simple video explaining the basics of how mathematics is possible in a computer. Warning, this is meant to show basics. Link deleted

Does there exists any two distinct numbers a and b, such that a^b=b^a ?