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#spectra

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Pustam | पुस्तम | পুস্তম🇳🇵

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: bit.ly/22kbNfi

Gizmodo · Digital Music Couldn't Exist Without the Fourier TransformThis is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny
#Fourier#FourierTransform#Transform
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cohan

We've gone from days around -20C/-4F to +4 to +8C/39 to 46F still below freezing at night. Not exactly spring, but out of sight the trees will soon be getting ready for #Spring activity- like these #catkins from last spring (not an early one, this was May 01). #Aspen catkins are cute and fluffy, but #BalsamPoplar ! Some of the most beautiful #flowers of the year (before they fully open is the best time).
YouTube video #Spectra to follow
youtube.com/shorts/C6utqVeYOHs
#nature #BorealForest #Alberta

Two small greyish vertical branches form an X with a couple of smaller twigs near the centre/crossing. Just above that centre a cluster of several catkins hangs from one of those twigs. The catkins are several cm long two of them still mostly closed showing deep red of the outside of the many many tiny flowers. the third has opened along one side, so still red behind and below, but along one side open to show a chain of yellow from the structures of the tiny flowers. Behind a blurry grey background of more branches and trunks.
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cohan

🧵 1 Here we are, more or less halfway between Winter Solstice + Spring Equinox! (Thanks to @mirabilos I've recently learned more about the calculation of #CrossQuarter Days: it's not so straightforward!)
Anyway, for me a general idea of mid-way works- I'll make my natural observations over several days anyway, and if I have time/ energy for ritual, it will depend on work/weather!
Short video on YouTube #spectra link to follow
youtube.com/shorts/ktwTVim_udI
#metenis #imbolc #pagan #animist #Alberta

1-A bit of a mound rises from a snowy pasture- where the soil was piled when a cattle watering dugout was made long ago. It's a late winter afternoon, maybe an hour from sunset and the many little lumps and crests and ridges in the snow (made from cattle tracking around then wind blowing snow) on the mound have deep blue shadows on this side away from the sun. Behind the mound we can see a bit more of the snowy pasture then a line goes all the way across of low dark willows with here and there- mostly to the right- some smallish poplars sticking out above. We can't see how far this treed area goes exactly, but get a glimpse of another sliver of silvery snow much farther back where the ground rises a bit. Farther still are more shadowy trees and on the horizon, barely discernible, we see the foothills blue/hazy blending into the partly clouded sky (mountains behind invisible in cloud). A Line of modest fluffy clouds caps a slightly darker blue-grey with sunset highlights area above the mountains, and above those clouds the sky is faintly overcast pale grey with a hint of violet-coral!
2-Across an area of rather smooth snow broken by many small poplar suckers along with occasional other small woody things and the occasionalbit of dry grass or thistle, a loose row (a few metres wide) of youngish (maybe mid-size in diameter, at most, many skinnier) but tall follows a fenceline from left to right. Beyond we see more snowy ground and more distant low willows and trees.The soft barely golden white ball of sun shines between the trunks and branches from a dull blue sky with bits of cloud, a little less than halfway up the trees as it westers, casting long blue linear shadows from the trees on the snow in the foreground.
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PoffinTime

Besoin d'aide avec Wordpress, partages appréciés !
Je travaille sur mon site #Wordpress avec le plugin #Spectra pour les formulaires, et je dois réenregistrer très régulièrement mes pages parce que les formulaires arrêtent de fonctionner : quand ils sont remplis et qu'on clique pour les envoyer, le formulaire disparaît mais aucun message n'apparaît et le mail n'arrive pas dans ma boîte.
C'est évidemment une catastrophe pour les prises de contact...
Comment faire ?

Replied in thread
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cohan

🧵 4 third short video
Drawing Masks for Winter Solstice: Darkness and Light in Balance
#art #drawing #PencilCrayons #OilPastels #pagan
links for #Spectra #Peertube and YouTube
I have some extra photos to post too, that will have to wait-- no time to write alt now!
spectra.video/w/mLPZjTcdqogp75
youtube.com/shorts/941_emg068Y

PeerTubeDrawing Masks for Winter Solstice: Darkness and Light in BalanceBy Cohan Magazine
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cohan

Happy #Caturday ! After some chilly to cold and or snowy or wet days, Pearly enjoyed a couple of mild afternoons we had this week- even taking advantage of the snow being gone in places to walk all the way down to my woodcutting area for a visit!(I carried her back, after). #Video on Youtube linked here, #Spectra #Peertube in replies
#cats #SeniorCats #Chonky #GoOutsideForMe #Alberta #CountryLiving
youtube.com/shorts/m6xsSUmUDDg

A chunky senior neutered female cat, black with white underneath and feet, stands sideways to the viewer, sniffing a small old tree stump to the left. The orangey light of the setting sun reaches the upper part of her body and casts a few highlights on the fading fallen leaves on the ground. the text Pearly (dull gold large script) sunset visit (deeper orangey gold, semi-bold regular font) appears on the image
same cat as previous image, laying at my feet in the centre, on dry leaves and wood debris, looking up. You can see part of my black rubber boot and grubby blue-grey work pant leg from knee down. To the left is a plastic zip top tote bag, white with a design of pineapples all over, yellow trim and a green top, is open on a folding chair, stuffed to the top with gloves, hats, camera equipment etc. To the right is a black plastic sled lined with a blue plastic tarp and loaded with cut and split firewood along with fine spruce branches to use as kindling.
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