The Math / Science topic primarily includes discussions of mathematics, physics, statistics and economic analysis, but also biology, chemistry and other sciences.
I need help finding the general mathematical form (similar to "n choose k") of a counting/probability problem. It arose after a coworker implemented a simple JS fix to prevent something from displaying multiple times when sampled randomly and I wondered what the odds of it happening were. As formally as I could state it is as follows:
Problem Statement:
Given n distinct options with equal probability of occurring, what is the probability of at least one grouping of type n_{i} of size k or greater appearing after s independent samplings?
I've looked into multinomial coefficients but couldn't figure out how to generalize it so it didn't matter which pair happened or that larger pairs should count towards it. A Poisson Distribution also looked promising but the simplest form seems to only be concerned with the probability of a single thing happening over a given time frame. Instead I hacked together some JavaScript to at least get a sense of its behavior.
Example
Roll a die 10 times. What is the probability that any of the numbers occurs at least 3 times?
Monte Carlo Solution
This will happen approximately 93% of the time given by the following code:
he cut some apples into eighths. she and her friends ate all but 17 pieces. how many whole apples and parts of apples did she have left over? tell how you know?
I am planning to pursue MS in Financial Engineering.
I come with a commerce background and do not have statistics background.
I am looking for anyone/online course which can teach me college level statistics. Please find attached the front page of the book which i intend to cover. I am looking for a resource which can teach me the subject.
I need to prove that certain patterns were engineered and not random events and have been told that Neural Networks can be used to help make this determination.
What kinds of tools and algorithms should I be looking at?
Any sample projects that have done something similar?
I am working on a college science presentation, with historical contexts, and I absolutely must have YBCO wire, I know there are other HTS wire out there, but due to the context, historical significance of YBCO, and research involved, I must have YBCO wire
I would like to be able to write equations to model my tracked vehicle which has a mass m=200Kg.
My skid-steering vehicle uses one track per side with a rubber belt made in 100% natural rubber, please refer to the next photo to get a more detailed idea.
Since I mounted an IMU in its geometric center, I can read both the angular velocites and the accelerations along the three axis plus the heading, the pitch and yaw angles in degrees.
I would like to be able to write a model for the vehicle in order to simulate and study its outputs depending on specific inputs.
Each track has a length L=1000 mm, a width W=330 mm and a lug height, H = 32 mm.
The vehicle is Lv= 1000 mm long and Wv=900 mm width.
There are no suspensions, but I consider the rubber track as the combination of a spring, coefficient K, and a damper, coefficient b. The rubber compression is about Dx =1,5 mm
By supposing a sinusoidal input below the track generated by the terrain profile, u(t) = Asin(wt), I was able to write the equation for the Z axis:
X(s)/Y(S)=(bs+k)/((m/2)*s^2 + bs+k) for the right trackX(s)/Y(S)=(bs+k)/((m/2)*s^2 + bs+k) for the left track
I am wondering how an Annual Percentage Rate (APR) of 26.70% be converted to a monthly rate. Speaking hypothetically, I will put these numbers out here in order to capture or clarify my question. An account has a balance of $500 with an APR of 26.70%. Given this information, how much interest would be added to this balance within one month?
Ok, so I am a beginner to trigonometry, and how do you convert a decimal to a degree? I dunno if i worded it dorrect, but a website said tan 0.5 is 26.6. I still duno if thsts correct, but if it is, someone explain in good detail on how they got 26.6 degrees? I know how to invert, tan,sin,and cos, coordinates,cortesian coordinates, perpendicular lines, right angles, reciprocals (correct me if im wrong, fraction interchanging?) So can someone simply explain how they got 26.6? Thanks.
I have a vector in Matlab which contains samples acquired at 10Hz from an accelerometer mounted on a frame's vehicle.
This vector contains the acceleration values along the Z-axis.
The acquisition time is 103 seconds.
I would like to plot the frequency values in Hz since I'm trying to study the terrain frequency response.
I tried to use the fft function available in Matlab, but I do not know how to proceed.
Can you help me, please?
Is it related to the fact that we do not know any rule regarding their distribution to date?
For example we have generated lists of several billion Consecutive Prime Numbers and it turns out that there does not seem to be a rule regarding the gaps between each number or at least not on an acceptable human scale .. ... .....
I am looking for a single mathematical formula that takes in elevation, temperature, humidity and barometric pressure, and gives the speed of sound as an answer. I have found many simplified formulae which use only one variable to give an approximate answer but can't find one that provides a more accurate answer. I realize this may be out of the scope of experts exchange, but thought it can't help to ask.
I have a vector " imu" with a size of 11497 elements. These elements are samples captured at a very high rate (the total time is 71 seconds so I think the frequency is about 160 Hz). Since I acquired all the other values at 10Hz, the size of all my other vectors is 719.
I would like to remove the oversampled elements from the vector " imu" in order to have only 10 samples per second.
Is there any way to do this? Can you help me, please?
i'm having a problem with one of my old matlab scripts.
This script worked very well on a previous version of Matlab, but now I'm running it on a different machine and on a different Matlab version (R2017b) and it gives me this error:
Index exceeds matrix dimensions.Error in cusum (line 36)y = x1(:,c_y) - mean(x1(:,c_y));Error in original (line 269) [ckc,slc]=cusum(Ic(:,2)); %% PROBLEMA
Please, can you try to help me?
I attached to this post all the matlab files (i renamed them with *.txt extension) and also the txt file to use to populate the vectors.
Suppose I need quantity Q grams of honey, and I can buy packs of honey in either 340g or 454g pack sizes. These packs cost 1.79 and 2.19 respectively (cost per kilo is therefore 5.26 and 4.82 respectively)
I buy m packs of 340g and n packs of 454g
Question: express m & n in terms of Q in order to minimise cost for any given Q.
In the attached image I have the Principal solution for positive and negative sin theta. The image shows how the negative theta values are reflected as positive alpha values.
Can someone please guide me to an article in public domain for equivalent workings of Cot, cosecant and secant theta.
I'm running SQL Server 2012.. .wondering if anyone has seen any procedures of functions for doing Monte Carlo simulations on financial data such as the stock markets.
Seems there may be a function in 2016, but we're not there yet.
Anyone have experience in this area?
Thank you!
(I'm also using Coldfusion if there is something there too)
During the past 10 years, the level of demand for a company's product has increased from 1,150 units per day to 2,150 units per day. What was the average annual compound growth rate over this period? Show the solution.
Car dealer told me 15" saves more fuel & is more suited for Sienta hybrid (& Airwave)
while 16" is more suited for Toyota C-HR.
I like 16" so that my bumper is not too low & often get scratched when reverse-parking
or head-in near high pavements (have seen pavements of 9-10" higher than parking
ground)
Q1:
Is this true that 15" saves more fuel?
Q2:
which one can accelerate faster or no diff?
Q3:
which one is more stable ? I tend to think lower centre of gravity makes
an object less likely to overturn
The Math / Science topic primarily includes discussions of mathematics, physics, statistics and economic analysis, but also biology, chemistry and other sciences.