#alevel mathematics

[mathmedicine]

AS LEVEL PURE MATHEMATICS 1 (PAPER 1)

PURE MATHEMATICS 1 (2002-2010) C1 Quadratics /C2 Functions /C3 Coordinate Geometry C4 Circular Measure C5 Trigonometry C6 Vectors C7 Series C8 Differentiation C9 Integration PURE MATHEMATICS 1 (2010-2013) C1 Quadratics C2 Functions C3 Coordinate Geometry C4 Circular Measure C5 Trigonometry C6 Vectors C7 Series C7 Binomial C8 Differentiation C9 Integration

[uncontrolledfission]

Why should you care about quantum computers?

Post #5 on Physics and Astronomy, 23/09/23

Welcome back. It’s been a while. 

First, let’s backtrack. What even are quantum computers?

Today’s computers are run on bits. These are the smallest increment of data on a computer, and are run in binary–they can be in the state of either 0 or 1. This essentially corresponds to two values: off and on. 

This, therefore, means that information can only remain in one, definite state. 

So, what makes quantum computers so different?

A quantum computer is run on qubits (short for quantum bits). Qubits, instead of a single state, can remain in an arbitrary superposition of states (meaning it’s not in any specific state until it’s measured). Qubits, on their own, aren’t particularly useful. But it performs one, very useful, function: it can store a combination of all possible states of the qubit into one area. This means that complex problems can be represented differently in qubits compared to bits. 

Quantum computers aren’t fully developed and at their full capacity quite yet. So far, there’s nothing a quantum computer can do that a regular supercomputer cannot. However, this opens an opportunity for some wonderful new things to happen. 

One of these things can include the cracking of passwords. 

Today’s encryption works by using “trapdoor” functions, which means that data is easy to compute in the forward direction, but extremely difficult to crack in the reverse without special keys. Keywords, ‘extremely difficult’; it is not impossible. However, this is not a massive concern: encryption works on the basis that it would simply take too long to crack.

To give you a tangible example, 100,003 and 131,071 are relatively easy to multiply together, giving you the answer 13,107,493,213. How easy, however, would it be to determine a prime factor pair of this number? It would take a computer a long time to figure this out, since it runs on bits, which can only show one definite state of data.

With quantum computers, it’s different. As aforementioned, qubits can remain in a superposition of states; somewhere in there, the desired answer lies. It’s just a matter of obtaining the resources to make this happen. 

Don’t worry, though. Ordinary people aren’t at any risk quite yet.

[online-physics-tutor]

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[coolesthscharacter]

every day at 9pm when the polls end i get to go onto my spreadsheet & get out my calculator and add all the percentages and approximate votes and i get to highlight things and work out averages its like the highlight of my day that i spend the whole day looking forward to . like i literally will be repeatedly checking the time over and over so i can do math. i think i was probably not the best candidate for the admin of a coolness contest

[anunfortunatekinlist]

i am an academic victim, i am listening to the smiths in the back of a maths class, sat on tumblr after doing half a worksheet in degrees after i should of done it in radians.

alevel maths was not for the weak and i am the weak

[cosmichoneyz]

"They woke again at seven, stupid with love Everything they knew – the brightest stars, Sirius, Canopus Alpha Centauri, Vega; the Roman Emperors, Claudius Nero, Galba, Otho, Vitellius; musical terms, allegro, calando Crescendo, glissando; mathematics, the value of pi Prime numbers, Cantor’s infinities – only a jumble of words, only a jumble of words."

The Laughter of Stafford Girls' High, Carol Ann Duffy, Feminine Gospels, 2002

I AM STUDYING THIS FOR MY ENGLISH LIT ALEVEL AND THIS IS SO INEFFABLE HUSBANDS CODED. LIKE. THEY LITERALLY MENTION ALPHA CENTAURI. THIS IS A BIT ABOUT TWO LESBIAN TEACHERS IN LOVE BTW. I AM NOT OK

[tutors-uae]

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[fantastic-mr-corvid]

MATH DAD JOKE ACHIEVED! VICTIM DID A DOUBLE SPEED MATHS N FURTHER MATHS A LEVEL COURSE! DOUBLE KO!

<- knows my friends enough to never end a sentence with a number and a question mark. its like typo in chat but 100% worse. shm maths people <- did maths alevel and is currently doing a maths unit in engineering

bascialy '!' is a mathematical thing that makes a number big [multiplying all numbers untill that number together i think dont at me im not the maths nerd in this situation] and he said its in '30!' so i joked that it was in 2.65252859812e+32 days. cause funny maths pedantic thing

[sub-at-omicsteminist]

[serenestudyblr]

Ignore how messy my desk is and focus on how kinda cool my trig graphs are ?? I think I’m getting better 🥰

[studysupremicst]

Tuesday July 21 2020

04:07

[mathmedicine]

ALEVEL PURE MATHEMATICS 3 (PAPER 3)

PURE MATHEMATICS 2/3 (2002-2010) C1 Algebra C2 Logarithmic and Exponential Functions C3 Trigonometry C4 Differentiation C5 Integration C6 Numerical Methods C7 Vectors C8 Differential Equations C9 Complex Numbers

[uncontrolledfission]

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.

[study07]

Day 3/28 of motivation and productivity

I’m afraid of maths but I have to write the exam tomorrow. So yeah not in a great mood eventhough I studied alot today

[mqthemqtics]

Hey, I was wondering if you had any tips for studing maths? And BTW your blog is sooo nice ✨

hey babe! thanks for the compliment 💖💖💖 sorry if this is quite late (my ask box didn’t tell me about it??? tumblr wyd) but anyways! here are my tips for studying maths:

practice, practice, practice!: yes, i’m sure you’ve heard it before but rlly the best way to study maths is to do practice questions! you should have a textbook from school, if not then some websites you can use are: khan academy (this one is the one id use personally! it has loads of subjects and is real easy to use)                                        getrevising (great for all subjects, esp if you are doing gcse/ alevel!) mathedup (so!! many!! questions!!) you should defo mark all your questions and if you don’t get why you got one wrong, then go through it with a friend or a teacher!

go through tricky concepts: if you are really stuck on one particular part of the topic, make a page JUST about how to do those questions! look at mark schemes, examples, and just go through it step by step. by writing it down i often can see where i’m going wrong!

flashcards: what?? flashcards for maths?? you may think its funny, but flashcards can rlly help you with remembering key terms (like truncate - i always get stuck on that one!) write down the word and the meaning, and this can help you understand questions better!

practice papers: practice!!! papers!!! i cannot stress this enough omg practice papers are a GODSEND - you get exam questions similar to the one you’ll see in the test, you get the mark scheme!! (btdubs - the mark scheme can b rlly useful…) and its always good practicing in timed conditions (this is my main way of revising!!!!)

mark schemes: USE. THE. MARK. SCHEME. omg use it!! not just for the right answer but for WHAT the marks are! see where you get method marks, answer marks, benefit of the doubts, everything!! this will help you structure your answers for the examiners to mark more easily, which is good for you cause you’re more likely to pick up marks!! use it!!!!!!

thats it for my studying tips for maths - hope it helps hunny!

[gc-kuriboh37]

Welcome to A level maths, why has this man stabbed himself in the stomach?