dashboard – How to show total as well as distributed total among categories

There is a total section on my dashboard and below that, a grid with all the list of data. As a total number of items and their total values need to show on top of the grid distributed among categories, I designed something as per the below screenshot, but want to validate that UX-wise it’s ok, or is there a better pattern?

Screenshot of total section:

enter image description here

So in the above design, each box contains below details:

  1. Total Profit/Order.
  2. Total Record/Order count.
  3. Title of that box.

I also tried another way to show data in a grid as shown in the below screenshot.

Grid Data screenshot:

enter image description here

How can I improve this so users can get the idea that 1st one is for what value and 2nd one is for what?

dashboard – Needs to show total as well as distributed total among categories

Needs to show the total on the dashboard and below that, I have a grid with all the list of data. as a total number of data and its total value need to show on top of the grid and distributed among category I design something as per the below screenshot but want to validate that UX wise its ok or any new design I can implement to highlight all these details?

Screenshot of total section:

enter image description here

So in the above design, each box contains below details:

  1. Total Profit/Order.
  2. Total Record/Order count.
  3. Title of that box.

I also tried another way to show data in a grid please check the below screenshot.

Grid Data screenshot:

enter image description here

How can I improve this so users can get the idea that 1st one is for what value and 2nd one is for what?

Can anyone help me to improve this design?

Thanks in advance!

google sheets – How can I take the value in one cell and distribute it among other cells?

What I’m trying to do is make a budget sheet that will automatically split and spread whatever value I place into an input cell into various “accounts” that are also within the sheet.

So kinda like this:
Before-
| Input | 100$ |
| – | – |
| 20% account| |
| 20% account| |
| 25% account| |
| 35% account| |
After –
| Input | (Space open for new input) |
| – | – |
| 20% account| $20 |
| 20% account| $20 |
| 25% account| $25 |
| 35% account| $35 |

Among the Bouncing rate and the exit rate, which is more important and why?

Bounce Rate is the percentage of one-hit sessions among all sessions. If it is analyzed on the page level, as below, it is calculated as the number of one-page sessions that started from a particular page divided by the total number of sessions that started from this page (called entrances).

Exit Rate is the percentage that was the last in the session. In the exit rate user browse multiple pages of the website. The user may visit many pages like home page, service page, category page, and contact us page etc. of the website and can exit any of the pages while browsing.

A graph with the maximum signless Laplacian spectral radius among all $F_k$-free graphs of order $n$ is connected?

Assume that a graph $G$ has the maximum signless Laplacian spectral radius among all $F_k$-free ($kgeq 2$) graphs of order $n$ ($ngeq 3k^2 -k-2$).

I want to prove that $G$ is connected.

On the contrary, assume that $G$ is not connected. Then we can add some new edges into $G$ so that the obtained graph $G’$ is connected and still $F_k$-free.

How can I prove that the Rayleigh quotient and the Perron-Frobenius theorem imply that $q_1 (G’)>q_1 (G)$? where $q_1 (G)$ is the signless Laplacian spectral radius of $G$.

Thanks in advance.

how to have our own crypto wallet in blockchain system to send and receive crypto among it?

I want to create a cryptocurrency wallet in the blockchain system. also I don’t want to use other wallet APIs.
for this purpose which knowledge do I need to know? which programming languages do we need?
I know how to program with node js.

probability – What’s more likely: $7$-digit number with no $1$’s or at least one $1$ among its digits?

A $7$-digit number is chosen at random. Which is more likely: the number has no $1$‘s among its digits or the number has at least one $1$ among its digits?

Here’s how I did it: The question is asking whether $8(9)^6$ (the number of those with no $1$‘s among its digits) or $9(10)^6 – 8(9)^6$ (the number of those with at least one $1$ among its digits). Some tedious multiplying shows that $8(9)^6 = 4241528 < 4500000$, which demonstrates that $9(10^6) – 8(9)^6$ i.e. the number having at least one $1$‘s among its digits is more likely.

However, I am wondering if there is a slicker way to get the answer without having to do any tedious multipication.

algorithms – Given $n$ sets of matrices, find $n$ matrices that have the least number of LCDs among their entries

Let’s say I have $n$ sets of matrices

$$
A = left{begin{pmatrix}
2 & 4 & 17\
5 & 6 & 9\
end{pmatrix}
begin{pmatrix}
2 & 4 & 18\
5 & 6 & 9\
end{pmatrix}
right}
$$

$$
B = left{begin{pmatrix}
13 & 20\
3 & 16\
end{pmatrix}
begin{pmatrix}
14 & 20\
3 & 16\
end{pmatrix}
begin{pmatrix}
13 & 21\
3 & 16\
end{pmatrix}
begin{pmatrix}
14 & 21\
3 & 16\
end{pmatrix}
begin{pmatrix}
13 & 20\
3 & 17\
end{pmatrix}
begin{pmatrix}
14 & 20\
3 & 17\
end{pmatrix}

right}
$$

Let’s define $T$ as a vector that contains the lowest common denominators shared among the entries of all the $n$ matrices.

I need to find $n$ matrices, picking one from each set, that will minimize the length of $T$, i.e. in this case

$$
A_{1}=begin{pmatrix}
2 & 4 & 18\
5 & 6 & 9\
end{pmatrix}
$$

$$
B_{1}=begin{pmatrix}
14 & 20\
3 & 16\
end{pmatrix}
$$

The resulting $T$ would be

$$
T=begin{bmatrix}
2,3,4,5,9
end{bmatrix}
$$

I know I can bruteforce every possible combination, but is there a more efficient way?

how to perform code review among different types of developer?

My develper team includes Android, iOS, PHP, Web Front, .Net developers, but every type of developer only 1 person, and they don’t know other’s programming languages very well.

We have setup Jenkins with some static analysis tools such as Sonarqube, but it’s not enough to find out some logic mistakes.

Is there any suggestion on performing code review in this kind of team? Thanks a lot!

ra.rings and algebras – Are the trace relations among matrices generated by cyclic permutations?

Let $X_1,dots,X_n$ be non commutative variables such that $operatorname{tr} f(X_1,dots,X_n) = 0$ whenever the $X_i$ are specialized to square matrices in $M_r(k)$ for any $r geq 1$. Does this imply that $f$ is in the ideal generated by cyclic permutations: $g_1dots g_k – g_2dots g_k g_1$ for any polynomials $g_i$ in the $X_i$ and $k geq 2$?

(And if I have missed any obvious relations, is the statement true up to adding in those relations to the ideal?)