Due to meet a rising young composer in the lounge of Birmingham's Chamberlain Tower Hotel, I am taken aback to be greeted by someone who looks like an immaculately-dressed bank manager.Morley, ChristopherBirmingham Post
I have a toy calculator I've been tasked to create for a class project. That's great - I have most of the normal calculator stuff done (order of operations, variables, precision settings, predefined functions). The issue is that, since I'm using rational arithmetic, there...
Using the identity you mentioned, and considering that $f\in L^1(\Bbb R)$, you have: \begin{align}\int_{-\infty}^{+\infty}\frac{\cos^3x}{x^2+1}\mathrm dx&=\frac14\int_{-\infty}^{+\infty}\frac{\cos 3x+3\cos x}{1+x^2}\mathrm dx\\&=\frac18\int\left(\frac{e^{3...
To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the result. The Bottom Line In mathematics, the geometric mean is an average or mean that demonstrates the central tendency of a group of numbers. In investing, it is a stati...
Capital gains are the profit earned from the sale of assets and are subject to be taxed. Learn the definition and formula of capital gains, and find out how to calculate capital gains and tax rates through the given example. Capital Gains In any business venture, it is critical to ...
Finally, we can calculate the equation of R-squared as follows: R2 = 1 – [var(model)/var(avg)] = 1 -[∑(yi – ŷ)2/∑(yi – Ӯ)2] Limitations of R-squared in Regression Analysis Some of the limitations of R-squared are: R-squared cannot be used to check if the ...
Identifying & Correcting Errors in Statements of Comprehensive Income Practical Application: Preparing Basic Income & Retained Earnings Statements in Accounting Bottom Line in Business | Meaning, Revenue & Example Restaurant Financial Statement Template How to Calculate Diluted Earnings Per Share Preparing the...
In mathematics, percents and decimals are closely related. In fact, we can convert between the two, and this comes in quite handy in real-world applications such as calculating a tip at a restaurant or calculating sales tax on an item purchased. ...
I had an contest in Mathematics and I had a very unusual task from probability theory. The task is the following: "There are 8 black pencils and 12 pencils pens in the box. I randomly pick out 2 pencils without putting back. How to calculate the variance of the two black pencils in ...
How do we calculate the trace of(I−X(X′X)−1X′)Jn−J? This question stemmed from the below problem I came across: Suppose we have the linear regression model:yi=x′iβ+ϵi,i=1,2,…,nyi=xi′β+ϵi,i=1,2,…,n, whereE(ϵi)=E(ϵi)=0,Var(ϵi)=σ2,i=...