#parabola

mc@iviv.hu

A #Linux-distro-a-day keeps the problems away and you don’t have to pay.

#linux #distros #my-selection

#INDEX

#4MLinux https://iviv.hu/posts/1579981

#Academix https://iviv.hu/posts/1581092

#antiX https://iviv.hu/posts/1582700

#Artix https://iviv.hu/posts/1584361

#AVLinux https://iviv.hu/posts/1585659

#Batocera https://iviv.hu/posts/1587077

#CROWZ https://iviv.hu/posts/1588676

#Cruncbangplusplus https://iviv.hu/posts/1590164

#CachyOS https://iviv.hu/posts/1592431

#Diamond https://iviv.hu/posts/1593569

#DietPi https://iviv.hu/posts/1595173

#DragonFlyBSD https://iviv.hu/posts/1596570

#Dragora https://iviv.hu/posts/1597447

#Exe-GnuLinux https://iviv.hu/posts/1599465

#Finnix https://iviv.hu/posts/1601139

#FreedomBox https://iviv.hu/posts/1602692

#GeckoLinux https://iviv.hu/posts/1605606

#Grml-LiveLinux https://iviv.hu/posts/1606978

#Guix-System https://iviv.hu/posts/1608320

#Haiku-OS https://iviv.hu/posts/1610171

#HardenedBSD https://iviv.hu/posts/1611525

#Kaisen https://iviv.hu/posts/1614979

#Karoshi https://iviv.hu/posts/1616490

#FreedomBox https://iviv.hu/posts/1617470

#Kwort-Linux https://iviv.hu/posts/1617920

#Manjaro https://iviv.hu/posts/1619475

#Murena-eOS https://iviv.hu/posts/1621997

#Navy-Linux https://iviv.hu/posts/1624130

#NetBSD https://iviv.hu/posts/1625881

#Netrunner https://iviv.hu/posts/1627259

#Obarun https://iviv.hu/posts/1630119

#OpenBSD https://iviv.hu/posts/1631492

#openmamba https://iviv.hu/posts/1634684

#OSGeoLive https://iviv.hu/posts/1636276

#OSMC https://iviv.hu/posts/1637728

#Parabola https://iviv.hu/posts/1639178

#Pearl-Linux-OS https://iviv.hu/posts/1640627

#PopOS https://iviv.hu/posts/1642087

#Porteus https://iviv.hu/posts/1643480

#PrimTux https://iviv.hu/posts/1645838

#Q4OS https://iviv.hu/posts/1647694

#RebeccaBlackOS https://iviv.hu/posts/1648947

#Redcore-Linux https://iviv.hu/posts/1650279

#Redo-Rescue https://iviv.hu/posts/1651483

#Salix https://iviv.hu/posts/1654392

#SELKS https://iviv.hu/posts/1655733

#Septor https://iviv.hu/posts/1657289

#Slint https://iviv.hu/posts/1659912

#SliTaz https://iviv.hu/posts/1661392

#Solus https://iviv.hu/posts/1662843

#SolydXK https://iviv.hu/posts/1664296

#Trisquel https://iviv.hu/posts/1665975

#Ufficio-Zero https://iviv.hu/posts/1667306

#Vanilla-OS https://iviv.hu/posts/1668744

#Voyager https://iviv.hu/posts/1670173

#Whonix https://iviv.hu/posts/1671604

#XigmaNAS https://iviv.hu/posts/1673122

#Xubuntu https://iviv.hu/posts/1674647

#MX-Linux https://iviv.hu/posts/1676135

mkwadee@diasp.eu

Literally a couple of years ago I posted some #AnimatedGifs of the simplest #NumericalIntegration techniques, namely the #RectangleMethod, the #TrapeziumRule and #SimpsonsRule. In the comments, @Miloslav Číž suggested that I show the errors of each method as the number of strips increases (or equivalently,the width of each decreases). I said I'd try to do it when I got time. In principle it is a simple but worthwhile request but getting a bit of time and motivation to do it is another matter. Also, I needed to a way to change the labels dynamically. Anyway, here we are.

The rectangle method is the most simple-minded and crudest method of finding the area below the curve. It converges slowly.
Rectangle method

The trapezium rule is quite an improvement to the above and each area is approximated by joining up the ordinates at the beginning and end of each discrete interval with a straight line. This converges appreciably faster than the above method.
Trapezium rule

Finally the most sophisticated of the three is Simpson's rule in which pairs of adjacent strips use a #quadratic #parabola to interpolate between the ordinates. This even better at convergence than the trapezium rule. I've shown a different function here because for the function shown in the first two cases the difference between the approximation and the numerical #approximation is not discernible and the errors are very small.
Simpson's rule

#MyWork #Mathematics #Maths #Numerics #RectangleMethod #TrapeziumRule #SimpsonsRule #FreeSoftware #CCBYSA #Wikipedia #Wikimedia

digit@joindiaspora.com

#goodread #worthreading #worthrereading https://blog.aurynn.com/2015/12/16-contempt-culture #contemptculture

(arrived at that from https://www.youtube.com/watch?v=o_AIw9bGogo which in turn i got to from http://www.linuxandubuntu.com/home/obarun-arch-based-linux-distro-without-systemd looking into #obarun and #artix and #parabola seeking to be #withoutsystemd while retaining access to all #distros (including #arch in this case) and their packages (including the superb #aur) through #bedrock (which methinks embodies this article's insight well))

masterofthetiger@diasp.org

The Last Day of 2018

This is the last day of the year 2018. It is time for many to propose resolutions for them to do in 2019. I personally will start a 90 day #Bible reading plan. I am not sure if it is much of a resolution, but I am going to install an encrypted #Arch #Linux (Or maybe #Parabola #GNU /Linux-libre) operating system on my main machine before I travel. I also will not be on diaspora* nor Mastodon for the next month.

I also have been thinking of what has happened in 2018. It has been an impressive year, and looking back I see some amazing things God has done in my life in particular. I cannot wait for what God has for me in this next year. Since I will be moving to Europe for a while (which is all I will say publicly).

Like many others, I will stay up until midnight and enjoy the festivities and the countdown. Like everyone else, I feel that this last New Year's just passed, and am amazed at how soon 2019 has come.

This last year I have started two different projects which I plan to continue working on. Namely, #Heb12 (a Bible app system), and #LibreCheck (a check-in system like KidCheck for daycares, Sunday Schools, etc.). If you have seen my previous post, you will know that I plan to do a lot of work on LibreCheck in the next few months (if you want to help out, please talk to me!).

What are you planning to do this next year?

#newyears #newyear