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Recently I was working on a discord bot to compute the roots of a cubic equation.

I have already made another program beforehand in C# that basically does the same thing, and is proven to work correctly, so I straight up copied the codes into the one which I am working with now.

(Suppose that I am calculating the roots of 7x³ + 2x² + 12x + 9 = 0)
The code below is from the program which was created beforehand:
(Once again, the program and the results are proven to be correct, results are listed at the bottom of the code)*

Target Environment: Wordpress VIP header.php

goal: click icon div to open third party chat, toggle to close if needed, chat icon to persist acrross all pages.

Hi All

I've been tasked with integrating a 3rd Party Chat app in our site. I want it to perform like a traditional chat in-page chat app (in a div) , however, the shared script uses js the window.open method and open the chat into a separate window. I've tried unsuccefully to use , tags. Suspect this shouldnt be to hard but I can't figure it out. I hope I have enough information here.

Thanks in advance! The code I am replacing is straight forward yet opens into a new window but I need the window to look like a modern chat

Hello I need to write a function that will automatically make a specific string

For example I have a List of elements:

Recently my friends and I decided to make a multi-functional calculator to automatically find the roots of quadratic equations. It wasn't that challenging after all, so we decided to go onto the next level, to make a calculator for a cubic equation.

(ax^3 + bx^2 + cx + d)

However, we stumbled across some trivial problems, and no matter how hard we tried, the results are still the same. we are beginners in terms of coding, so we're not sure if we are actually making some stupid mistakes here but at least we want to learn something from others.

Basically, we have tried a lot of combinations of different cubic equations, or even re-coding the whole thing. The problem is that the results we yield are always wrong, but only for the real parts of the second root and third root.

For a better understanding, we have tried 9x^3 + 8x^2 + 7x + 6, as an example.
The correct answer, according to a cubic equation calculator website, is

(The website)

First root = -0.87285
Second root = -0.00802 + 0.87391 i
Third root = -0.00802 - 0.87391 i

However, our result to this equation is :

First root = -0.87285
Second root = -0.2963 + 0.87391 i
Third root = -0.2963 + -0.87391 i

It is apparently noticeable that only parts of the second and third roots are wrong.
We have tried finding similar threads to help, but those are a little bit too difficult for us to understand or those problems are not the same as ours.
We look forward to finding the solution and the causes to this problem.

We have separated the formulas for finding the roots of a cubic equation into 5 parts. (rootp1-rootp5)
The formulas are coded according to the formulas that can be found in the Chinese version of Wikipedia's page of Cubic equation.
(The formulas)
We have also rounded the real parts of the roots to 5 digits.

(Some code lines might be redundant, but as I have mentioned, we are new to coding)

Code (C#) :

Looking into UTF8 decoding performance, I noticed the performance of protobuf's UnsafeProcessor::decodeUtf8 is better than String(byte[] bytes, int offset, int length, Charset charset) for the following non ascii string: "Quizdeltagerne spiste jordbær med flØde, mens cirkusklovnen".

I tried to figure out why, so I copied the relevant code in String and replaced the array accesses with unsafe array accesses, same as UnsafeProcessor::decodeUtf8. Here are the JMH benchmark results:

i'm trying to write a shell script to analyse some videos by using the first frame of each second of video as a basis. i'm using ffmpeg to extract the frames. i thought i'd hit gold when this thread came up in my searches, but it doesn't handle the deinterlacing.

i'm using a time-based approach that works well for various formats as long as the video is progressive. it doesn't work so well for interlaced video (only the first field is output in that case, creating a half-height image). i've tried various combinations of deinterlacing (yadif/bwdif) with select but the filter chains i create either cause errors or still return a half-sized image.

here is my call w/a filter that works correctly for progressive video source :
ffmpeg -i $infile -vf "select='if(eq(n\,0),1,floor(t)-floor(prev_selected_t))" -vsync 0 $outfile

the following still return only half-height images for interlaced source :
... -vf "bwdif=0,select='if(eq(n\,0),1,floor(t)-floor(prev_selected_t))'"

... -vf "bwdif=0,select='between(mod(n\,$ips)\,1\,2)'" -- $ips is images per second

... -vf "select='between(mod(n\,$ips)\,1\,2)',bwdif=0"

i've also tried various permutations of the above w/explicit frame reference (-r, -vframes, ...), still no joy.

can someone help me with the syntax ?

--EDIT--
here is the complete output of running the command with the first filter :

I'm trying to speed up a piece of code convolving a 1D array (filter) over each column of a 2D array. Somehow, when I run it with numba's njit, I get a 7x slow down. My thoughts:

• Maybe column indexing is slowing it down, but switching to row indexing didn't affect performance
• Maybe slice indexing the results of the convolution is slow, but removing it didn't change anything
• I've checked that numba understands all the types properly

(tested on Windows 10, python 3.9.4 from conda, numpy 1.12.2, numba 0.53.1)

Can anyone tell me why this code is slow?

I have a video that i need to hardcode subtitles for legacy devices so I usually use ffmpeg for this and it works fine but its so slow.

This is the command i usually use.

I intend to plot the following function: