#linear function
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<— Unit 12 — Unit 🍑 — Unit 13 —>
Unit 🍑 : Parent Functions

Note:
Approach asymptote:
Rational___ 1/x
1/x^2
Max or Min:
Parabola ___ x^2
Absolute value__ l x l
Radical __ sqr root(x)
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#aapc1u12#parent functions#constant function#linear function#absolute function#exponential function#cubic function#rational function#fraction function#radical function#square root function#cubed root function#domain and range#domain & range
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Approximately 7 months ago, during my spectral theory class, I learned of the word sesquilinear and haven't gotten over it since.
Sesquilinear is the property of being linear in one argument and being conjugate linear in the other. In contrast to being bilinear, i.e. linear in both arguments. The root "sesqui" means one and a half, which, tbf, is reasonable enough.
(Side note: this is a property of inner products, which I learned about years ago? But I don't recall my previous measure/functional prof ever using it? Idk maybe just a language thing.)
But I think the word is just so funny? It sounds *silly*.
My perspective has only been moved into sillier territory by one of my friends adding "sesquilinear" to the "potential leopard gecko names" list that's taped to our office wall, shortly after we covered inner products in one of our shared classes this semester.
Idk when he added it, but he was there when I first noticed so I commented it seemed rather mean to do that. Then I recalled that he didn't actually like leopard geckos so okay, makes more sense now. Still mean, but makes sense.
Consequently, if I'm tired or otherwise a little out of it and hear sesquilinear, I cannot handle it and will have to stiffle giggles.
This hit recently during my linear algebra class when we defined bilinear, which shouldn't really have set it off since 1) literally not the same word 2) I wasn't even that tired. A little bored if anything. Otoh, same prof for spectral and linear. So I just sat and continued taking notes while grinning and smothering my giggles. Unknown if the professor noticed.
#im very glad to take linear this semester because its the first theoretical linear class ive taken and i can already tell its super useful#but its extremely funny to take it (with the same professor!) after spectral theory#an analysis class that is sufficiently high up that many major departments dont offer it as a class regularly#(my prev two institutions didnt and its every other year here. there were 6 students last semester)#also taking it concurrently with functional analysis (someone else is in both too lol)#i am like. physically incapable of taking classes in a nice normal order I think. though its been a domino effect situation for a while#seven stories#spectral DEs linear
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god i really do need to work on the mechanical goggles while im energetic
#at least just to get a functional prototype#proof of concept and all#i need light sensors and figure out is linear actuators or servos would work better#i think servos would react faster but the motion i need is back and forth#ig i could turn rotation into linear motion through gears but thats a lotta failure points
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#just like a latch-up on a semiconductor i live on cmos logic but can't quite decide.#myself pretty much.#doomed anyhow since i'd describe my knowledge of my velocity as quite robust#correlating the evaluation feels like taking forever. i completely lack patience yet i find myself bored as fuck..#..and the function evaluates on. it's linear. it's slow. wow i swear it just got even slower..#& the only continuous exponent i encountered is the dread. y'all know the dread?!#even tho i know i'm not a particle @quantum state & not associated with alice & bob whatsoever..#..i have no idea where i am neither if i even qualify as a somewhat finite bounded class (totally not ordered) (almost surely)#reading about the hairy ball theorem i told myself “well that's just great. even the theorem's got em. why can't i grow some for a change?!#& if i can't just grow balls & quit this aeon retiring yelling someth like “bye suckerz better luck next time haha fuck you and g'night”..#..i fear having to abandon my madness function:#(i mean dude what the fuck? starting it went like weierstrass completely nuts! and now it looks like the planck curve!)#which is why i seriously start to worry finding myself continuous - but perfectly vigilant.#what kind of hell is this?!
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urghh forgot to take my meds again ... uwaaaahhhh
#*shaking my past self*#need to eat something to take it as well augh#they should make a memory that functions in an unbroken and linear way
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no sims 5 . guys im gonna
#UGHHHH . like. i get theyre planning on just updating the sims 4 for fucking ever but like. i feel like its such a shit base and theres only#so much you can do#its been running for 10 years atp like.#idk man i was hoping for sims 5 bad bc i wanted to just have it be like. Well made from the start and like. i hate the current way packs r#structured and if its gonna stay sims 4 thats gonna continue to be the standard. ughhhhh.#also idk how i feel abt cc kits like. i like tht the creators will be paid for work and that console players can have cc or whatever but#idk . i already dont particularly like Kits i think like. idk.... i kinda wish the cc kits would just be free but the creators Obviously r#still played. or have something similar to like#is it like. bethesda i think has its own mod thing that works on console.. itd be nice to have something like that instead#but also ig asking ea to maintain an online gallery of any sort is sort of asking to be disappointed LOL#idk man. im just bummed.... i feel like itd be better to just. leave ts4 behind and if they rly want to Divert from linear sims games they#should like#Make a game that's BUILT for that like. a sturdy foundation that would make ppl want to keep playing so long. idk..#and also like..so many features i personally would want in a sims 5 arent like. things that could be updated in ts4#like we arent gonna ever get open neighborhoods like ts3#and i get those were laggy for a lot of ppl but i honest to goodness feel like it could be optimized and fixed#But. that would be work for ea DJFNFJFN so. wtvr#sry. i try to be like. charitable ik the actual sims team work hard and stuff but it feels like nothing is given the time it needs to be#fully thought out..#also like. 1. i dont think ea would have Paid fixes for their jank ass game which is one of the biggest benefits of mods#at least id hope they wouldnt thatd be disgusting. but like. i feel like a sizable subset of mod benefits is the fixes#like. whenever a new pack drops there are immediately 500 fixes for it in order for it to be At all functional or enjoyable 😭😭😭 idk ..#not that. idk ig it only said Creator focused kits so itll probably mostly be cas stuff anyway. but idk man... just a bit hrm to me#ig that does make sense. bc having gameplay mods or anything like that i dont think like. idk if ea would do patches for it or if theyd have#the creator do patches or what#idkidkidk. im just very .#also sims movie i dont careee im fucking sick of like. videogame franchise movies stop it. ik i dont have to see it i just think its lame.#and also im still mad abt the mc movie yeah.
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mmmmmm i have one assignment due this evening (in less than 6 hours) and three due tomorrow. i haven't started doing any of them
#guess i'll die#two presentations and two tests in linear algebra one of which isn't mine but i'll get paid for doing it#why couldn't my executives function before the literally last moment
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hearts hurting a little bit over the whole not having an irl jewish community but the one time I attempted to explore and engage with it, I ended up panicking over [redacted] plus the whole being two hours + away thing like. lmao. ah well gonna watch the wife play angry birds and drink my little fizzy
#vii.rtf#like this might be a silly vent but unfortunately working through trauma is not a linear process#I'm happy how I am it'd just be nice to experience physically being near flesh and blood sometimes yk#I left pōneke in part to avoid people for cptsd reasons#and while I would like to work on that so I can be in the city and still function like#non-committal hand gestures
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Parent Functions




#precalc#pc1u1#parent functions#constant function#linear function#absolute value function#quadratic function#cubic function#reciprocal function#reciprocal squared function#square root function#cubed root function
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I'm taking functional analysis and baby mathematician's first PDEs course (by which I of course mean it's a qual course) and since PDEs is actually just secretly functional, my constant state of being is calculating norms and inner products.
One of my friends who's also taking PDEs walked in to me doing functional homework and sounded sad on my behalf about the amount of norms I've been dealing with.
The analysis qual sequence (not measure and functional) also recently introduced norms, but like. Lightly.
#seven stories#DEs#functional#on the bright side ive gotten fairly used to them and i dont think my third class (linear) will get to norms#edit: otoh linear might make me do gram schmidt and that might make me cry#i have no clue why functional is making me do it but im very sad about it
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update will be up tomorrow sometime!
also if u sent me an ask or message recently i promise i see it i’ll get to y’all asap!!
#fens fables#licherally like a week later#i have to edit it and also finish it but unless there’s extreme circumstances#or i just REALLY don’t want to#it’ll be up tomorrow#i keep being like oh i can juggle multiple things#i can’t#my brain function? linear#ok gn
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Functions_9th Grade.Math course..pdf
● Graphing linear functions means drawing straight lines on a coordinate plane using linear equations like y = mx + b. ● Find two points by plugging in x values to solve for y, then plot these points and draw a line through them
Check it now from here.
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Impedance refresher.
[Click here for a PDF version of this post] Karl is taking his circuits course right now, which means that I get a chance to field some questions. I don’t get an excuse to think about this stuff any more. It’s fun material, since most of the ideas are all really simple, and you can figure out everything from first principles. Karl just started sinusoidal circuits, which I think is a bit exciting.…
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#capacitor#Fourier transform#Green&039;s function#Heavyside Theta#impedance#inductor#linear system#RC circuit#reactance#resistance#RLC circuit#step function#system response
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Emotional Wounds and Functional Freeze: The Holidays
1/06/25 no energy and emotional wounds
Well we all know 2020 alone was super hard on everyone!!!! That year was hard to decorate for ANY holiday. Was also the year the unhealed trauma that I was unaware of, manifested itself physically and finally my gut gave way 😢 I had burning into my esophagus and I couldn’t eat for weeks!!!! Absolutely had to starve myself and lost over 25 lbs within 2 weeks… Everyone around me at the time got upset and started questioning me like crazy!!! I even tried to get into a Dr but it was heavy into Covid so… everything was about Covid and I couldn’t get help. People in my life still blame Covid for my situation and I don’t correct them 🥺🌹
Last Christmas in 2023, I fell off a ladder trying to hang up lights over my garage and I hit HARD, face planting on concrete and was nervous I broke my nose… THANK GOD nothing was broken that I know of but I had deep large bruises on my legs that changed colors for months and still if you press hard enough on my legs, I sorta can still feel it but it doesn’t hurt so much. THAT EXPERIENCE helped to mirror my unhealed emotional wounds 😭😭😭 That Christmas after I fell, it was super difficult to wrap presents or decorate cuz I was physically sore/tired and unsure what to do about my emotional wounds….
I had already made this blog and started writing down my story but didn’t understand why I was writing my story down…. I felt bad for making this blog and talking about my exes till I understand how important it is to process everything and talk about it. I needed to sort out my emotions and release everything I had been repressing!! As I continued to write though, I began to feel soooooo exhausted everyday. Almost zero energy and I push myself daily to get stuff done. (There was a traumatic death Feb 17th in 2024 also added to my plate)
This Christmas, all I wanted was lots of Christmas lights cuz it brings me joy but my family all begged me not to get on anymore ladders AND everyone was so busy, I couldn’t get them to come hang the lights for me, so I understood but was sad. I did get some lights up that I could reach and I did decorate inside but it all felt like a big chore. Buying Christmas gifts and wrapping them also felt like a major chore!!! Even though I wasn’t physically sore this Christmas, I just felt like I had to “get everything over with.” I mean, money has been tight since inflation, also stores closing down that I normally would shop at during Christmas…. So that was all sad. I LOVE Christmas it’s my fave holiday but it also always brings back bad memories of the Christmas I spent with my ex Andrew and the hurtful things he said…..
Now I’m taking down the decorations and ugggggh fudgin sucks!!! I just want it to be over with so I can get it off my plate. Part of me wants to throw a lot of it away but I know come next Christmas; I’ll wanna put it back out lol I would just leave it all up but eh, it’s over. Gotta accept Christmas is over. Just like I’ve had to accept my past is over. My exes are out of my life and they don’t love me. They only used me and hurt me. Idk why the wounds are so deep or why they take so long to heal. The impact alone from the emotional abuse has been CRAZY!! I’ve often wanted to pull my hair out and hide my face. Also, trying to get my energy back!!! It’s like in 2024, I just ….. am fried. Completely burnt out.
also this Christmas, I wanted to try makeup again and trying to style my hair and wore new dresses…. I just want to feel “beautiful” again…. Real beauty is on the inside but when you’re so exhausted and hurt, you struggle to feel any kind of beauty at all … there is a difference between humbling yourself and self-loathing. Gotta talk positively about yourself!! (Feels uncomfortable) Coming home to myself has been a journey separately in itself!! I am going to make it there and not give up!! Facing the demons of the past head on. Dismissing every lie my exes told me about myself with their brutal discarding!!! 🌹🌹❤️🩹
#the holidays#trauma#functional freeze#emotional wounds#healing journal#self awareness#my story#unpacking#emotional abuse#heartbreak#online relationships#toxic relationship#healingjourney#healing is possible#healing is a process#healing is not linear#healing is hard#healing is a journey#healing takes time#trauma bonding#trauma recovery#trauma brain#recovery#toxic romance#toxic love#codependency#toxic#abandonment#discarded#betrayal trauma
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Excel really can just do anything huh
#makes my life easier bless#I can’t for the life of me figure out how to find a trendline using multiple data points though#like yeah you can just take two if the line is linear#and you can use other functions for exponential growth and decay#but what about averaging trendlines?? when you have multiple data points that don’t have a singular linear or exponential function??#how does it do that???#I thought maybe it just averaged the results of the slope and calculated it based on that#but I tried replicating it and it didn’t work#the internet won’t tell me either#sigh idk I haven’t done math in a while so maybe I learned this and just forgot#oh excel…you work in mysterious ways#math#cw math
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