I have found in Gonzalez/Diaz-Herrera/Tucker: Computing Handbook an example for the Goldschmidt division in the case of real numbers. The example is the following:
\begin{align}
N_0 &= N = 0.62...
Is there an intuitive meaning for the spectral norm of a matrix? Why would an algorithm calculate the relative recovery in spectral norm between two images (i.e. one before the algorithm and the ot...
Write the formula for $f(x)$, if the graph of $f$ can be obtained from the graph of $y = g(x)$ by shrink horizontally by a factor of $5$ then shift left $3$ units
The equation should be
$f(x) = g(...
Which of the following is the correct definition of an anti chain ..
1). A subset S of a partially ordered set P is called an anti chain if no two elements of S are comparable ..
2). A subset S ...
I have been beating my head against this question for quite some time, I do not know whether it has been asked before, but I can't find any information about it!
I am taking Calculus 1 course and I
Very simple 'yes-or-no' question, but I can't find the answer anywhere. My gut feeling says the number of odd and even numbers are equal but I managed to write up something that contradicts my intu...
Calculate remainder of $12^{34^{56^{78}}}$ when divided by $90$
First of all,I'm not sure about the order of calculation of powers!
Secondly I don't know the rules of finding remainder moulus 90
How can I find normal vector on the given line. For example if I have a line $3x - 5y = 1$, what would be the normal vector of this line? I am not sure whether it's useful or not, but we have one m...
Today I wanted to ask a question which I am sure has been answered in multiple places but for which I do not yet have a very clear understanding.
Though martingales is a very well explored area of
So I always thought that covariance could take any real number. However, in class today my professor gave us a problem where we were supposed to find the covariance, $q$
$$0 = q^2 - 2q - 3 = (q - 3...
How do you get $\alpha$ from $\tan{\alpha}$?
Hello,
I want to know how to obtain $\alpha$ from $\tan{\alpha}$. I mean, what is a formula (if there is one)?
I know that it is schemes where it writte...
The radius of the circle is 12cm, it is then made into a cone
Question:
A cone is made by joining the straight edges and securing them with tape. Calculate the angle of inclination, to the nearest
How to find the sum of all the numbers that can be formed using the digits 2,3,3,4,4,4..
What should be the way of doing this type of problem?? Please guide
Assume that the radius $r$ of a sphere is expanding at a rate of $7$ in. /min. The volume of a sphere is $V = \frac{4}{3} \pi r^3$.
Determine the rate at which the volume is changing with respect to
How many ways $12$ persons may be divided into three groups of $4$ persons each?
I think the answer should be $\frac{12!}{(4!)^3}$ but the suggested correct answer is $5775$, could anybody explain...
I have a an assignment and I'm stuck on this question:
First of all I can't figure out the equation for a $2$-dimensional donut as shown in the diagram. For the calculation of the center of mass, ...
I am trying to help a high school student to solve summation calculation problems. The $i$ value of most answers I found was based on $i=1$ like this:
Now, the $i$ value of our questions is $i=0$ (
Let $X$ be an $H-space$, and let a multiplication $,\cdot,$ be given, associative up to homotopy.
Let $\Omega X$ be the loopspace of $X$ based at the identity and let the multiplication $ \circ $ ...
I'm taking a course in General Relativity, and before getting into Physics itself, the required knowledge of Differential Geometry is being taught.
In that context, a linear connection on a smooth
For example,
(6) The sequence of primes is endless.
For, if $p$ is any prime, the number ${\begin{array}{|c}\color{red}p\\\hline\end{array} + 1}$ is greater than $p$ and is not divisible by...
Important Pre-Requisite Knowledge
On the image board 4chan, every time you post your post gets a 9 digit post ID. An example of this post ID would be $586794945$. A Quad is a post ID which ends wi...
A machine is set up such that the average content of juice per bottle equals u. Assume that the population standard deviation is $5$cl.
A sample of 100 bottles yields to an average of $48$cl. Calc...
I am aware that for equalities involving, for instance involving real numbers, we have the cancellation property, like in the following:
$\textit{x} \text{ +} \text{ 3} = \text{5}$,
We get the valu...
I have a problem with this transform. I know that using this theorem (see the theroem) I can get the answer, and i have the resolution. But I don't understand why the put a $-1$ in the integral.
IMG
Help for my son. My math is a bit rusty and I'm trying to remember how to go about answering this question: "There are 3 times as many bicycles in the playground as there are tricycles. There is a
I am reading: How to prove it, A structured approach by Daniel J.Velleman
and despite it being a book based on both maths and computer science all logic statements seems to be in the "maths logic"
This is homework but I’m really stuck.
The question is to prove a fromula which states:
$$1+\cos\theta+\cos2\theta+...+\cos n\theta=\frac{1}{2}+\frac{\sin(n+\frac{1}{2})\theta}{2\sin\frac{\theta}{2...
What are the x and y components of a vector a with arrow in the xy plane if its direction is 110° counterclockwise from the positive direction of the x axis and its magnitude is 8.7 m?
Am I suppo...
You can calculate eigenvectors of a matrix with eig() function like this:
[eigenvectors, eigenvalues] = eig (matrix)
But I can't manage to understand why the eigenvector output is in some kind of
In SageMath,
I would like to manipulate rational functions on elliptic curves (defined on finite fields). For example, for $P = (x,y)$ on some curve $E$
$$f = x+y-12$$
$$g = \frac{x+y-3}{(x-3)^2} $...
I'm working through Acheson's 'Elementary Fluid Dynamics' and i'm having trouble deriving the conservation of energy equation (exercise 1.4)
$\frac{d}{dt} \int_V \frac{\rho \vert u\vert^2}{2} dV = -\
Suppose the function $X \colon \mathbb{R} \longrightarrow \mathbb{R} \colon x \longmapsto X(x) : = x^2$.
I want to calculate the Radon–Nikodym derivative $\frac{\text{d}\lambda_X}{\text{d}\lambda...
In propositional logic we have the DeMorgan's laws:
$$\lnot (p\lor q) \Leftrightarrow \lnot p\land \lnot q$$ $$\lnot
(p\land q) \Leftrightarrow \lnot p\lor \lnot q$$
I would like to teach the ...
