#mathsblr
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A class of curves
During my thesis, researching ways of flow around rocks and ships near the surface of water, I found a set of equations that can be used to model these weirder shapes. One example was the lemon curve, which you saw as the cricket ball simulation I showed earlier. The other is a generalised version of these that allows one to customise the location of bumps on the surface of the solid. The following plots were made in python.
Lemon curves (name courtesy of my fabulous sister @mrunmione) - the shape used to model a cricket ball
Crocodile curves (because they literally look like crocodiles)
Why are they important? ↓
It is important that when you model obstacles, you do so with at least second-differentiable functions, which means that they can be differentiated at least twice without behaving badly.
This is due to the nature of equations used to model fluids, called the Navier Stokes equations, which is based on Newton's 2nd law of motion, the force applied on an object is proportional to the acceleration (which is where the 2nd derivative comes into play).
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november 3rd: 29/100 days of productivity
took note for my analysis class
start reviewing exercises of my probability class
I'm back in my hometown for my autumn break. I missed my cat so much it was nice to see him
#100 days of studying#100dop#100 days of productivity#dark academia#light academia#books#studyblr#studyspo#bookblr#book#dark academia aesthetic#study aesthetic#uniblr#uni life#uni#france#stem dark academia#stem#mathsblr
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The search for dark matter
Post #6 on Physics and Astronomy, 06/10/23
Welcome back.
This time, I’m going to be talking about how astronomers and physicists have made an effort to detect and provide evidence for the existence of dark matter.
To recap from my first issue, it’s worth talking about what dark matter actually is. It’s a type of matter estimated to make up about 80% of the Universe’s matter. To date, it hasn’t been detected. Light passes straight through, it is assumed, however we infer the existence of such a substance due to its gravitational influence.
We can take an example from the Bullet Cluster. This is a pair of galaxy clusters that collided head-on a while ago. That pink mist you see in the photo is hot gas, and within it most of the regular matter. The blue mist, on the other hand, is dark matter, and where most of the mass of these two galaxies were in this photo.
Vera Rubin and Kent Ford
Vera Rubin and Kent Ford were two astronomers who had worked together to observe the Andromeda Galaxy, more specifically the rotational velocities of concentric regions from the center. The prediction was that, the further you looked from the center, the less the velocity of the stars within that region, since a greater centripetal force would be required to maintain a high-velocity orbit. This, however, was not the case.
It was observed that the velocity remained nearly constant the further you went out. Wait a minute, though, this didn’t make sense–that velocity was high enough, in theory, to make the stars fly off into space. But they weren’t.
These findings matched those of Fritz Zwicky. He was a Swiss astronomer who had studied the Coma galaxy cluster. He made the same observation–the speeds were so high that the stars should just have been flung off into space. His findings, however, were ignored.
Experiments to detect dark matter
So far, experiments to detect dark matter have been largely unsuccessful. Some of these include PICASSO, LUX-ZEPLIN, EURECA, FUNK, KIMS, DarkSide, Edelweiss, DARWIN, and DAMA/LIBRA, which is what I’m exploring next.
This detector in particular, introduced promising results which ended up the subject of dispute. DAMA/LIBRA, which hoped to capture activity from WIMPs (Weakly Interacting Massive Particles), returned a signal with a period of one year. This looked to be one step closer to affirming dark matter’s existence–however, COSINE-100, an experiment set up to mirror that of DAMA/LIBRA, could not reach those same results, which led to the belief that the signal detected could be from some other factor.
The search for dark matter is one that interests me very much. It’s like telling someone in the Stone Age that metal exists, and they should go find it. Except, dark matter is seemingly even more impossible to find, since we can’t perceive it, with the human eye or the best of our current technology. Which, I guess you could argue, would be exactly how the Stone Age person would have felt, but you understand my point.
That said, it’s something I’m eagerly watching. The day we find something promising? You’ll hear it first from me.
#physics#studyblr#astronomy#engineering#astrophysics#stem#sixth form#alevels#dark matter#dark energy#mathematics#physicsblr#mathsblr
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electric circuit fundamentals + coffee
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From Quanta Magazine's article: "3-D Fractals Offer Clues to Complex Systems".
#julia set#fractals#maths#mathematics#science and art#nature#language of the universe#universe#source#infinity#physicsblr#mathsblr#studyblr#geek
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@mathblr, I guess, or just anyone that is knowledgeable in calculus
How do you differentiate/integrate the modulus function? Can it be differentiated/integrated? Would it literally just change signs from negative to positive? It’s always bugged me but I’ve never looked into it.
#mathblr#mathsblr#maths#math#mathematics#integration#differentiation#calculus#maths problem#questions
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A lot of maths boils down to "how do we get this thing to behave in a way that's intuitive to us?" And then we give those things names like "normal" "regular" etc.
But so much isn't intuitive, and we spend so long working with the less-nice versions of objects, that I feel like the mathematician's idea of intuitive behaviour has grown to be super different to the layman's or even the undergrad's
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Finals week is ON 💪🔭📑
#physics#physicsblr#studyblr#study notes#mathblr#stemblr#finals#uniblog#univeristy#uniblr#mathsblr#mathematics
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summer is in the air🧮🦾🌞👹
#saját#studyblr#lizystudying#myown#lizysinpain#studying#study#maths#mathsblr#lizysbionics#lizysvibe#study vibes
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Forcing your Beta to study maths is a Sin Cos it's his choice. Give him a Sec to figure out what he wants to study. May be he wants to study something else but he doesn't because he's scared that he'll get Cot. Don't act like an Alpha. Relax. Have a Kappa coffee.
#maths memes#mathsblr#mathblr#mathematics#mathsmemes#mathematiques#funny memes#aesthetic quotes#dank memes#indian memes#memecage#desi academia#desiblr#chutiyapa#words typed#math student#maths#allen#science#trigonometry#science memes
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Lesson Of Da Dae- 1
Bhai kabhi tution wale sir ki expectations high mat karo. Cuz guess who just got 90% in maths and her tutor thinks it's not up to her standards?
if you guessed me, aka @hoomanwithpizza, well congratulations! You get a cookie!
Here's your cookie, 🍪! Enjoy!
@supriyawithoutsu knows what im talking about </3
#tution#desiblr#desi tag#desi tumblr#gujju#funny#desi humor#relatable#dasvi#tenth grade#boards#standard 10#mathematics#mathsblr
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a fascinating identity found on facebook (not all facebook is bad it seems)
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12th october : 10/100 days of productivity
create a quizz with basics probability law
finish studying class notes of my probability class
review some old exercises of my probability class
It's been a while since I updated the challenge, but I am still going at it!
I did take a break during one weekend because exam season is starting for me and I needed it before the rush haha.
#100dop#100 days of studying#100 days of productivity#dark academia#light academia#studyblr#books#studyspo#bookblr#book#dark academia aesthetic#study aesthetic#uniblr#uni#uni life#mathsblr#stem dark academia
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okay, I'm fucking tired of this maths-hate! Like, guys trigonometry is actually quite fun once you know what you're doing. It's like a particularly challenging jigsaw puzzle, it's an intense game of chess with your academic rival. Trigonometry sums on my level basically require me to prove the expressions on the right and left side of the sign are equal. When I'm solving one, I feel like a lawyer in court, presenting my case. When I get one sum correct, I feel like the sky isn't even the limit. I could go on for hours... thou knows not what thee misses
#desiblr#icse2023#oranges#because i love them#mathsblr#trigonometry#Maths academia#stem academia#romanticising#Demi rants#just me rambling#Math rants#quite possibly#i'm gonna regret this#but lemme tell you#I'm gonna enjoy it#while it lasted
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March 7th and 8th and 9th, 2023
35/50 and 36/50 and 37/50 days of productivity
Tuesday wasn’t very productive (because I started my period and was in a lot of pain and just couldn’t really do any thing) so I only did the bare minimum. Yesterday my chemistry teacher wasn’t in again (he wasn’t here on Tuesday) so my organic chemistry teacher taught us instead. Was slightly more productive yesterday than on Tuesday but then started prom dress shopping online but I couldn’t find any I liked. Today was also semi productive. It also snowed!!! I did some revision for my test tomorrow and I’m not looking forward to it….
Tasks achieved:
Biology exam questions
Chemistry revision
Stats homework
Projectile class work
Organic chemistry revision
🎧 punisher - Phoebe Bridgers
QOTD - who inspires you the most
#studyblr#study aes#chemblr#stemblr#mathblr#mathsblr#a level chemistry#a level maths#organic chemistry my foe#gatherstudies#gatherbeingstudious#50 days of productivity#50 dop#so I don’t know if I’m being picky or what#but all the dresses I like aren’t in the colour I want#and all the dress that are in the colour I want aren’t really my vibe/style#also after walking home#my feet were very cold
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I have a love-hate relationship with maths.
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