functional analysis – Upper and lower limits of the network function

I did not reach a solution for the determination of upper and lower limits of the following function:


It applies to weighted unoriented network graphics, with not nodes. The formula is calculated for the node I. With $ alpha $ being a coefficient which can be chosen greater than zero. wij is the weight of the arc connection nodes I and j (with a j for all the neighbors in the network of I). The logarithm numerator represents the sum of the weights of all the arcs in the graph.

So basically we add the weights of all the arcs connected to the node I, by multiplying them before by the logarithmic term. Please note that for $ alpha> 1 $ the contribution of an arc to the final score can be negative.

Can you help me find a maximum and a minimum?
It should be expressed in terms of not and $ alpha $ which are fixed parameters. We also know the value of the maximum wij.

applications – Define storage limits by application

Is there a way to define the storage space that an app can use?

I am tired of uninstalling apps, deleting app data and deleting files to see the newly freed space start to be swallowed in a few hours by these "abusive storage" apps!

Worst of all, I have real needs with some of these apps.
Take Outlook for example, it wastes space in caching old emails that I won't read and it lacks parameters to control this behavior. I use it with my personal and professional accounts and to clean its data means to repeat the authentication steps … for each of the accounts … daily … and this is only one of these problematic applications …

Repeated use of the "delete things" method seems constantly stupid, a poorly chosen process design choice …

And I don't care about the loss of functionality, they will have to deal with any space that I deem worthy of having. =]

python – Limits the number of decimal places of a float that fills a list

Hello Stackoverflow community, hello.

I am trying to develop a code which calculates the numerical values ​​obtained from a physical equation

Here is the form of the equation, t

where k, T and pi are constant values ​​defined by the user.
Already lambda is a value that will be traversed in a range with for and its responses stored in a list using the following code snippet

import pandas as pd
import numpy as np

for i in range (1,100):

rho = (8*np.pi*k)/i
print (rhos)

the results generated come out in this format:

enter description of image here

How to control the number of decimal places that will appear in the list? Can this check be done before filling the list or only after the add method?

Using CSOM, are site sharing settings accessible, especially the setting that limits site sharing to the sole owner of the site?

Using CSOM, is there a way to check a website (web) to make sure that only site owners can share the site? In the modern SharePoint user interface, the site sharing option says "Site owners and members and people with Edit permissions can share files and folders, but only site owners can share the site ".

limits – what's wrong with this derivation of the distance around an ellipse?

I'm studying Gil Strang's text Calculation. Exercise 30 in section 8.2 reads as follows:

The area of ​​an ellipse is $ πab $. The area of ​​a band which surrounds it (width Δ) is $ π (a + Δ) (b + Δ) – πab ≈ π (a + b) Δ $. The distance around the ellipse seems to be $ π (a + b) $. But that distance is impossible to find – what's wrong?

I'm having trouble understanding this. It really seems that if we take the limit of the band area on Δ when Δ goes to zero, we get $ π (a + b) $ as the distance around the ellipse. Please help!

usability – Character limits in text box fields – advantages and disadvantages and best practices?

Some of our form fields have character limits. We are debating whether we should reflect the current size of data entry or simply limit and prohibit data entry beyond this size.

In HTML, simple elements can have a maxlength attribute that prevents any new entry but