#Inverse functions also exist using the #hyperbola in the role of the #circle. In these cases in #trigonometry the #arcfunctions are included below (possibly innocent errors about imaginary numbers):

Hype for the Future 7A: Mathematics Edition

The hyperbolic functions of the sine and of the cosine are identified as follows:

sinh(x)=(e^x-e^(-x))/2

cosh(x)=(e^x+e^(-x))/2

The remaining hyperbolic trigonometric functions can be constructed with the hyperbolic versions of the appropriate functions. While tan(x)=sin(x)/cos(x), tanh(x)=sinh(x)/cosh(x) and can be constructed as (e^x-e^(-x))/(e^x+e^(-x)).

And so, here are four functions to demonstrate it. The default resolution of the plotting routine is crude, leading to #Aliasing and so the mesh has to be refined somewhat.

Here are three #ConicSections and one #Trigonometric functions.

An #Ellipse
A #Parabola.
A #Hyperbola.
A rotating #Tangent function.

#MyWork #CCBYSA #Maxima #Mathematics #Geometry #FreeSoftware

Happy Anniversary!

Formation: 04.10.1985

Thank you to everyone in the community that has contributed to the project.

Website: https://www.fsf.org
Mastodon: @fsf

#FSF #FreeSoftware #FLOSS #GNU #GPL #Linux #GNULinux #Copyleft #GNUHealth #Emacs #GnuPG #Taler #Nano #Jami #GCompris #GIMP #GnuCash #Guix #Wget #Trisquel #LinuxLibre #Dynebolic #Parabola #Hyperbola #Mediagoblin #Savannah #IceCat #FreeFont #GNUHurd #Gnumeric #Shepherd #Guile #GCC #GNUBoot #GNURadio #GNUnet #OpenSource #FOSS #FLAC

Happy Birthday!

Announcement: 27.09.1983 https://www.gnu.org/gnu/initial-announcement.en.html

Thank you to everyone in the community that has contributed to the project.

Website: https://www.gnu.org
Mastodon: @fsf

#GNU #GPL #FreeSoftware #FSF #FLOSS #Linux #GNULinux #Copyleft #GNUHealth #Emacs #GnuPG #Taler #Nano #Jami #GCompris #GIMP #GnuCash #Guix #Wget #Trisquel #LinuxLibre #Dynebolic #Parabola #Hyperbola #Mediagoblin #Savannah #IceCat #FreeFont #GNUHurd #Gnumeric #Shepherd #Guile #GCC #GNUBoot #GNURadio #GNUnet

Happy Birthday!

Announcement: 25.08.1991

Thank you to everyone in the community that has contributed to the project.

Website: https://www.kernel.org/linux.html

#Linux #OpenSource #FOSS #FreeSoftware #FLOSS #Privacy #InfoSec #CyberSecurity #Mint #MXLinux #Debian #EndeavourOS #PopOS #Manjaro #Ubuntu #Fedora #Zorin #openSUSE #NixOS #Garuda #AlmaLinux #Kali #Tails #Kubuntu #Devuan #Slackware #Arch #RHEL #Gentoo #QubesOS #Gnuinos #Trisquel #Dynebolic #Guix #Parabola #Hyperbola #Parrot #RaspberryPi #IPFire

The knights seated themselves.at the foci of the hyperbola formed by the table, Thus, constituted itself, the duo known throughout the universe for its dedication to crime fighting, the Knights of the Hyperbolic Table!

#hyperbola #knights #nanofiction

Technical Feudalism

https://lemmy.ml/post/20246670

@tecnotestering Creo que ya alguno lo dijo: usando #GNU+#Linux.
Francamente, al estado actual de las #distros libres, usar Windows sin que te obliguen por la fuerza es masoquismo del más espeluznante.
- https://www.gnu.org/distros/free-distros.html
- https://distrowatch.com/
#debian #ubuntu #arch #trisquel #guix #hyperbola #parabola #fedora #mxlinux #opensuse #slitaz #lubuntu #linuxmint #floss #softwarelibre #gpl

The great thing about this arrangement is that the development of each project can be flexible. So the platform is shared with all and developed with the projects' needs in mind, and then the development of #PaleMoon itself is basically like one-man, and then you get community-owned projects like #Hyperbola's Ice* projects

#Mozilla really made a mistake with making the platform synonymous with the #Firefox browser.

Day 4 - section:

when we see sections

of ourselves — our potential

manifests loci

https://codepen.io/fractalkitty/pen/wvRxORX

#mathober2023 #section #conic #hyperbola #p5js #procreate #codepen #math #mathart #loci #haiku #poetry

The Hyperbola project recently decided to kick PHP out of its GNU/Linux-libre in the next release (and it will also be the last release before the new HyperbolaBSD). This is due to the problem with the PHP's new trademark policy:

https://wiki.hyperbola.info/doku.php?id=en:philosophy:php_trademark

Sad. I know it looks a repeat with Firefox brand, Rust, ... (hmm...can't think of more such examples).

#FreeSoftware
#hyperbola

Cool real-life example of #paraboloid and #hyperbola in nature. Original post via @coreyspowell at: https://mastodon.social/@coreyspowell/110774904285735511 Page (2004) with animation: https://hubblesite.org/contents/news-releases/2004/news-2004-11.html

@swagpussc (...continued)
What you need to know at this point in your learning process is simply that _around_ the Linux "kernel" there are different flavours of the "shell" part, hence different "distributions", in the jargon, of Linux-based operating systems.

You may have heard of #Debian, #Ubuntu, #OpenSUSE, #Slackware, #Arch, #Mint, #Hyperbola, #Gentoo, #Fedora, #Devuan, ...

... anyway. These were ground-up clones started in the 1990s and later.

#Unix #LinuxDistributions
(continued...)

This just occurred to me but is probably obvious to others: as a #supersonic #aircraft flies, the people who hear its sonic boom at any given moment will be arranged in a #hyperbola (assuming they're on relatively flat ground parallel to the aircraft's direction of flight).
#maths

@ascott @ska

About 3 years ago, by the way, I was pointing people who wanted to switch distributions at #Hyperbola .

* https://www.hyperbola.info

I haven't kept track, because of world events, but it appears on quickly checking back today that it's still going.

But #s6 on #ArchLinux actually is an option. The PKGBUILD was last updated _last Thursday_, and the dependent packages in the AUR indicate that supporting infrastructure is also packaged, and it's not just do-everything-else-yourself.

@msw @fedora For those who have at least once worked voluntarily to a free system #Distribution / #Distro that either follows the #GNU FSDG (like those that provide some part of #GNU, such as #Dragora, #Dyne:bolic, #GuixSystem / #GuixSD, #Hyperbola, #Parabola, #PureOS, #Trisquel, #UtutoS, #LibreCMC, #ProteanOS, or those which don't, such as #Replicant) or to a #Distro that is almost there (I'm waiting your reply, #Debian) per-language managers complicated things.

#Introdução #Introduction

LOCAL (LOCATION): #SantaCatarina, #Brasil / #Brazil

INTERESSES (INTEREST): #Debxp #FreeSoftwareDirectory #FSD #Hyperbola #IRPFLivre #JSExtensions #LibrePlanet #LibrePlanetBrasil #Replicant #SoftwaresImpostos #CulturaLivre #FreeCulture #SoftwareLivre #FreeSoftware #XMPP #OpenDocumentFormat #Padrões #Standards #DIY #Livro #Book #Ficção #Fiction #Caminhada #Walking #Comédia #Comedy #Paisagem #Landscape #PowerMetal #NewAge #NeoFolk #SynthPop #Dance #Disco #WorldMusic