5:46 AM
Hi, mlc, I just want to mention this post on meta about modulus-theorem tag which is related to your suggested edits here and here. Sorry for making a comment unrelated to your post, but I wanted to find some place where to let you know about this. Feel free to ping me here or in chat to let me know that you have read this and I can remove my comment. — Martin Sleziak Jun 5 at 14:26
@Martin Sleziak I have read your comment --- you can please delete it. — mlc 9 hours ago
A new tag , the tag-excerpt was also created by Henry:
"Birthday problems typically look at probabilities and expectations of a random group of individuals sharing birthdays and how this changes as the numbers of people increases. They often assume that individuals' birthday are independently uniformly distributed across 365 days but similar problems can use other numbers or assumptions. They can be generalised to wider occupancy and collision problems."
It already has 106 questions - despite being created just yesterday and still listed among new tags.
Another new tag is but we already have .
2

Is there any numerical algorithm to find a basis for the subspace, $T^{-1}(\text{im} S)=\{x: T(x)\in \text{im }S\}$ where $T,S:\mathbb{R}^4\to\mathbb{R}^4$ linear map with given matrices $A,E$ as their representation, preferably not invertible. I thought this way: Suppose $v_1,\dots,v_k$ be bas...

And also tag was crated:
2

Is there any numerical algorithm to find a basis for the subspace, $T^{-1}(\text{im} S)=\{x: T(x)\in \text{im }S\}$ where $T,S:\mathbb{R}^4\to\mathbb{R}^4$ linear map with given matrices $A,E$ as their representation, preferably not invertible. I thought this way: Suppose $v_1,\dots,v_k$ be bas...

0

I've to find the Basis of $W=\operatorname{span}\{v_1,v_2,v_3,v_4,v_5\} \subseteq\mathbb{F}_{2} ^{5}$ $v_{1}=(1,0,1,0,1)$ , $v_{2}=(0,0,1,0,1)$ , $v_{3}=(0,0,0,1,0)$ , $v_{4}=(1,0,1,1,1)$ , $v_{5}=(1,0,0,1,0)$ $\mathbb{F}_{2}$ is a Field with $2$ Elements so now first i've wrote a linear combi...

0

Let $\mathbb{K}[x]_{\leq{n}}$ be the k-vector space for all the single variable polynomials $f(x)$ with $deg(f(x)) \leq n$, and $A=\{f(x) ∈ \mathbb{K}[x]_{\leq n}, x^2 + 1 | f(x)\}$ a linear subspace of $\mathbb{K}[x]_{\leq{n}}$. Find a basis for A. I thought of taking a polynomial $a(x) = a_0+... 1 Prove that if {v1, v2} is a basis for sp(v1, v2), then a) {v1 + v2, v1 - v2} is also a basis. b) {v1 + v2, v1 - v2, 2v1 - 3v2} is not a basis. a) First, prove that sp(v1, v2) = sp(v1 + v2, v1 - v2). Let vj be a vector in sp(v1, v2), and vj = rv1 + sv2 = [(r+s)/2](v1 + v2) + [(r-s)/2](v1 - v... 4 We have$A \in \mathbb R ^{\mathrm {mxn} }$and$B \in \mathbb R ^{\mathrm {nxp}}$which are two matrices. It is said that$\{ b_1, b_2, ..., b_k\}$, where$k \leq q$, is a basis for$\mathrm{Im}(B)$and that$\mathrm{Ker}(A)\cap \mathrm{Im}(B) = \{ \vec{0}\}$. We have to show that$\{ Ab_1, ...

The (basis) tag has been created and removed several times in the past. Here is the relevant discussion on meta:
12

The basis was recently created. But it's a horrible tag. There are different notions of basis in mathematics, and they are not entirely the same at all. Hamel basis Hilbert basis. Schauder basis. Topological basis. The tag is used as a free for all. And if it continues to exists, it will be u...

1 hour later…
7:13 AM
@MartinSleziak The last time birthday was introduced, it was deleted and another tag calendar-computations was introduced.
My understanding in probability is minimal, is the "birthday" widely used?

2 hours later…
8:44 AM
Good catch, I did not remember that this tag was created and removed before.
This SEDE query returns a few questions where the tag was used in the past.
@JohnMa I do not know much about probability either. Maybe something like birthday problem might be a better name for the tag, but it would be better to hear from people who actually know about this stuff.
Since there are more than 100 questions influenced by this, my suggestion would be to post a question on meta about this. (And perhaps also notify Henry that this is being discussed on meta.)
Would you be willing to do this, John Ma?

12 hours later…
9:00 PM
Two new tags created in the same question - at least one of them seems rather questionable: and .
0

We say that an homogeneous symmetric polynomial $f(x_1,\ldots,x_n)$ of degree $d$ is an $n$-exception if the dimension of the $\mathbb{R}$-span of the following set of polynomials of degree $d-1$ A_f=\left\{\frac{\partial f}{\partial x_1},\ldots,\frac{\partial f}{\partial x_n},\sum_{j=1}^{n}x_{...