ProphetesAI is thinking...
substraction
MindMap
Loading...
Sources
substraction
substraction Now illiterate. (səbˈstrækʃən) [ad. med.L. *substractio, -ōnem, n. of action f. substrahĕre to substract. Cf. OF. sustraction, substraction, Sp. substraccion.] = subtraction. 1. The operation of taking one number or quantity from another; an instance of this. Also transf. and gen. Deduc...
Oxford English Dictionary
prophetes.ai
Is subtraction defined in $\mathbb{Z}_{2}$? I know $(\mathbb{Z}_{2},+,*)$ is a field but I'm wondering if substraction is defined in it. I ask this because if I want to create a new Field $F:=\mathbb{Z}_{2}\times \mat...
Adding in details: In $\mathbb Z_2$, every element is its own additive inverse: $0+0=0$, $1+1=0$, so $0=-0$, $1=-1$. Another way of saying this is that $1+1=0$, and it makes this a "Field of Characteristic 2". So, $\forall b\in \mathbb Z_2,b=-b$. Now, subtraction is defined as adding the additive in...
prophetes.ai
substraction of groups in direct sum Assume I have a sub group $G\leq \mathbb Z^n$ and I have $\mathbb Z^n = G\oplus \mathbb Z^m $ for some $m\leq n$. I want to deduce $G\cong\mathbb Z^{n-m}$. Is that true? how can I...
$G$ is a subgroup of a finitely generated abelian group. So itself must be also finitely generated. $G$ cannot contain any non-zero torsion as $\mathbb{Z}^n$ doesn't either. So $G\cong \mathbb{Z}^k$ where $k$ is a non negative integer. $\mathbb{Z}^k\oplus \mathbb{Z}^m \cong \mathbb{Z}^{m+k}$ so it f...
prophetes.ai
PDF of substraction of uniform > Let X and Y be i.i.d. Unif(0, 1), and let W = X − Y . Find the PDF of W. $0 $f(w)=\int_{0}^{1}f_X(x)f_Y(x-w)dx=\int_{0}^{1}f_Y(x-w)dx=?$
\begin{align} f_W(w) = \int_\mathbb{R} f_X(x)\; f_Y(x-w)\;\mathrm{d}x = \int_\mathbb{R} \mathbb{1}_{x\in(0,1)} \mathbb{1}_{x-w\in(0,1)}\mathrm{d}x = \int_{(0,1)\cap(w,1+w)} \mathrm{d}x = (1 -|w|)\mathbb{1}_{|w|<1} \end{align}
prophetes.ai
Define a binary operation on the set of even integers which is different from addition,substraction and multiplication > Question: Define a binary operation on the set of even integers which is different from addition...
Yes, both of them are correct since, in each case, if $a$ and $b$ are even integers, then $a\circ b$ is an even integer too.
prophetes.ai
Predict Winner and Optimal Strategy in Substraction Game of 3 Towers Given the following game, what is the strategy to win? * There are 3 heaps with _m, n, k_ stones respectively. _m, n, k_ must all be _>1_ and can...
Unfortunately, it turns out simply. Losing positions are where $(m,n,k)$ are either all even or all odd. It is more complicated if the last stone loses, I don't have a formula for that.
prophetes.ai
OpenCV - 背景差分で物体を検出する方法について - pystyle
背景差分は、静止したカメラで撮影された動画から、前景で起こっている変化に基づいて前景と背景を分離する手法です。分離した結果は、背景の画素を0、前景の画素を255とした2値画像で表します。 背景差分の一つの方法として、背景のフレームを予め ...
pystyle.info
Trigonometry identities sum and substraction of cosine Someone can help me showing this identity? $\frac{cos(a-b)}{cos(a+b)}=\frac{1+tan(a)tan(b)}{1-tan(a)tan(b)}$
Using the angle sum formula for $\cos$: $$\frac{\cos(a-b)}{\cos(a+b)}= \frac{\cos a \cos b + \sin a \sin b}{\cos a \cos b - \sin a \sin b}$$ Hint: Now all you need to do is to divide the numerator and denominator by $(\cos a\cos b)...$
prophetes.ai
How to resolve square of matrix substraction? I am currently stuck with the following step of the derivation of the Fisher criterion. Can somebody please expand and explain the following? I cannot follow the steps. $...
You can show this by the following procedure $$(w^Tm_1-w^Tm_2)^2=\left[w^T(m_1-m_2) \right]^2=w^T(m_1-m_2)w^T(m_1-m_2)$$ Now, note that $w^T(m_1-m_2)$ is a scalar (row vector $\cdot$ column vector), hence we can simply transpose it without changing it. $$(w^Tm_1-w^Tm_2)^2=w^T(m_1-m_2)\left[w^T(m_1-m...
prophetes.ai
An example of a function over the reals that does not have a limit as x go to 0 but does when in substraction > Give an example of a function $f:\mathbb R \to \mathbb R$ that the limit $\displaystyle\lim_{x\to 0}(f(x)...
How about $$f(x) = \begin{cases} 1,&x< 0\\\ 2,&x \geq0.\end{cases}$$?
prophetes.ai
Exponential distribution between two numbers I must calculate the probability : $P(43 < X < 63)$ How do we even calculate the probability between two numbers ? I have a formula for the situation when : $P(X > a)= e^{...
If the cdf is $F_X(x)$, then $$\Pr(X\le b)=F_X(b)$$ and $$\Pr(a<X\le b)=F_X(b)-F_X(a)$$ The exponential cdf is $F_X(x)=1 − e^{-\lambda x}$. You can substitute the $\le$ with $<$, since the cdf is continuous.
prophetes.ai
What is the next limit equal to? $$\lim_{n\to\infty}(\sqrt{n^2+n}-\sqrt[3]{n^3+1})=?$$ I tried amplifying the hole substraction to form the formula $$a^3-b^3$$ but didn't worked out. Can you help me figure it out?
Generalized binomial theorm: $(a+b)^k = a^k + ka^{k-1}b + \frac {k(k-1)}{2} a^{k-2}b^2 + \cdots$ $(n^2+n)^\frac 12 = n + \frac 12 - \frac {1}{8} n^{-1} + \cdots\\\ (n^3+1)^\frac 13 = n + \frac 13 n^{-2} + \cdots$ Subtract one from the other and let $n$ go to infinity... $\frac 12$
prophetes.ai
How can I write a partial recursive function "maximum(x,y,z)"? It is quite easy to write a partial recursive function "max(x,y)": 1.substraction1: substraction(x) = if x=0 then 0 else x - 1 @R(z1,i21) 2.substractio...
I'm not sure what the unusual notation in your question means, but, if you're allowed to compose functions (as you are in most of the definitions of partial recursiveness), then you can just say $$ \max(x,y,z)=\max(\max(x,y),z). $$ If, on the other hand, composition isn't available, then you should ...
prophetes.ai
proof by contradiction I have the following theorem: !enter image description here and I want to prove it by contradiction. I have started by negating the consequence, so I will have that !enter image description ...
Your proof is correct, but there is no reason to use contradiction here: it just makes the argument unnecessarily complicated. You’ve basically taken the natural direct proof and turned it into a proof by contradiction. We know that $g\mid x$, so there is an integer $m$ such that $x=mg$. Similarly, ...
prophetes.ai
Converting Decimal number to 10's complement Is there any other way to convert a decimal number to 10's complement without substraction? Not this method: Converting 052784: 100000-052784 = 947216
In short, no: the fact that subtraction is involved is suggested by the word "complement". The usual procedure is to ignore any leading zeros, subtract the lowest-order non-zero digit from 10 and all the remaining digits from 9. Addition and subtraction are computationally fast compared to other ope...
prophetes.ai