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Oxford Mathematics
United Kingdom
Registrace 20. 03. 2014
The Oxford Mathematics CZcams Channel features public lectures, student lectures, research films and more. All with the aim of explaining a subject that affects us all.
Functional Analysis: Weak convergence lecture 3 - Oxford Mathematics 3rd Year Student Lecture
In this final lecture on the topic of weak convergence we are showing, Melanie discusses how the weak compactness of closed bounded sets in reflexive Banach spaces can be used to establish the existence of minimisers of non-linear functions and of solutions of Partial Differential Equations.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): czcams.com/play/PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE.html
All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): czcams.com/play/PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE.html
All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
zhlédnutí: 2 756
Video
Functional Analysis: Weak convergence lecture 2 - Oxford Mathematics 3rd Year Student Lecture
zhlédnutí 3,6KPřed dnem
In this second lecture on the topic of weak convergence that we are showing, Melanie discusses key properties of weakly convergent sequences in Banach and Hilbert spaces, including Mazur’s Theorem that ensures that if we pass to a weak limit in a closed convex set then the resulting limit must also be in the set. You can watch many other student lectures via our main Student Lectures playlist (...
Functional Analysis: Weak convergence lecture 1 - Oxford Mathematics 3rd Year Student Lecture
zhlédnutí 19KPřed 14 dny
This is the first of three lectures on the topic of weak convergence we are showing from our 'Functional Analysis' 3rd year course. The lectures build upon results on Banach spaces and their duals that are covered earlier in the course. In this lecture Melanie explains why familiar arguments from finite dimensional analysis break down in infinite dimensional spaces since bounded sequences canno...
Show Me the Maths - Petra
zhlédnutí 15KPřed 21 dnem
Mathematics and mathematicians are not immune to the culture and politics of their times as Oxford Mathematician Petra explains in our latest 'Show Me the Maths' film. You can find out more about Petra's work here: www.maths.ox.ac.uk/people/petra.stankovic Go to the playlist for more films in the series: czcams.com/play/PL4d5ZtfQonW3N04yqCKYbGpLiLhZC8KTV.html
Fluid Dynamics and Waves: Flow-induced forces and circulation - 2nd Year Student Lecture
zhlédnutí 3,9KPřed 21 dnem
Having derived Blasius’ Theorem, in this lecture from his second year 'Fluid Dynamics and Waves' course, Dominic Vella (re)-considers flow past a cylinder and confirms D’Alembert’s paradox that simple flow past a cylinder leads to no drag force. He also shows how the presence of circulation around the cylinder leads to a lift force (though still no drag). The sign of this force is different tha...
Fluid Dynamics and Waves: Motion in a continuum - Oxford Mathematics 2nd Year Student Lecture
zhlédnutí 6KPřed měsícem
In this lecture from the second year 'Fluid Dynamics and Waves' course, Dominic Vella discusses what a fluid is, how it differs from a solid, and how to describe the kinematics of its motion. He focuses on two different reference frames (the laboratory frame and a frame that moves with the fluid) and discusses how to relate rates of change of quantities between these two reference frames. You c...
Show Me the Maths - Kit
zhlédnutí 3,5KPřed měsícem
We have 16 research groups in Oxford Mathematics and the Mathematical Biology group is one of the biggest with nearly 50 members, reflecting the growing importance of modelling in biology and medicine. Kit Gallagher explains his work in our latest 'Show Me the Maths' film. Here's more about his work: www.maths.ox.ac.uk/people/kit.gallagher Go to the playlist for more films in the series: czcams...
Mobilizing Mathematics for the Fight Against Cancer - Trachette Jackson
zhlédnutí 6KPřed měsícem
Mathematical oncologists apply mathematical and computational models to every aspect of cancer biology, from tumor initiation to malignant spread and treatment response. A substantial amount of medical research now focuses on the molecular biology of individual tumors to selectively target pathways involved in tumor progression, leading to careful manipulation of these pathways, and new cell-sp...
Fourier Series and PDEs: Calculating Fourier Series - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 26KPřed měsícem
This lecture, part of the Fourier Series and PDEs first year course, begins by defining periodic, odd and even functions. Then it presents some properties of such functions before going on to show how we can use the orthgonality of sines and cosines to calculate the Fourier coefficients, leading to the idea of Fourier Sine and Fourier Cosine Series. You can watch many other student lectures via...
Multivariable Calculus Lecture 4 - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 9KPřed 2 měsíci
Multivariable Calculus Lecture 4 - Oxford Mathematics 1st Year Student Lecture
Multivariable Calculus Lecture 3 - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 30KPřed 2 měsíci
Multivariable Calculus Lecture 3 - Oxford Mathematics 1st Year Student Lecture
Multivariable Calculus Lecture 2 - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 18KPřed 2 měsíci
Multivariable Calculus Lecture 2 - Oxford Mathematics 1st Year Student Lecture
Multivariable Calculus Lecture 1 - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 232KPřed 2 měsíci
Multivariable Calculus Lecture 1 - Oxford Mathematics 1st Year Student Lecture
Probability Lecture 6: Joint and conditional distributions - 1st Year Student Lecture
zhlédnutí 6KPřed 3 měsíci
Probability Lecture 6: Joint and conditional distributions - 1st Year Student Lecture
Probability Lecture 5: Some classical distributions, expectation - 1st Year Student Lecture
zhlédnutí 3,5KPřed 3 měsíci
Probability Lecture 5: Some classical distributions, expectation - 1st Year Student Lecture
Probability Lecture 4: Independence, discrete random variables - 1st Year Student Lecture
zhlédnutí 3,3KPřed 3 měsíci
Probability Lecture 4: Independence, discrete random variables - 1st Year Student Lecture
Probability Lecture 3: Conditional probabilities - 1st Year Student Lecture
zhlédnutí 8KPřed 3 měsíci
Probability Lecture 3: Conditional probabilities - 1st Year Student Lecture
Probability Lecture 2: Events, probabilities and the axiomatic setup - 1st Year Student Lecture
zhlédnutí 6KPřed 3 měsíci
Probability Lecture 2: Events, probabilities and the axiomatic setup - 1st Year Student Lecture
Probability Lecture 1: Events, probabilities & elementary combinatorics - 1st Year Student Lecture
zhlédnutí 23KPřed 4 měsíci
Probability Lecture 1: Events, probabilities & elementary combinatorics - 1st Year Student Lecture
Linear Algebra 1: Matrix algebra - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 9KPřed 4 měsíci
Linear Algebra 1: Matrix algebra - Oxford Mathematics 1st Year Student Lecture
Linear Algebra 1: Systems of linear equations - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 11KPřed 4 měsíci
Linear Algebra 1: Systems of linear equations - Oxford Mathematics 1st Year Student Lecture
A Mathematical Journey through Literature - Sarah Hart
zhlédnutí 8KPřed 4 měsíci
A Mathematical Journey through Literature - Sarah Hart
So basically to be a good mathematician you have to be a physicist 😜 (Just joking ❤)
nice❤
Japanese Glass Pen making is a practical exmeple of Miura Ori. Here. czcams.com/users/shorts2DsyTO-fuBU?si=tXMIgs0fyC16Mz4Z
Fermat at the age of 10? Surely his birthday is feb 29.😊
He’ll either have pasta or he won’t so it’s 50%
She should check out music through and just hold much can be done with, effectively, just 12 notes, and often even fewer than that.
Must have been a morning class because the class doesn't react to a lot of the amusing things he says.
If you want to realize how complicated things can get with just 12 different “objects,” realize that in western music there are only 12 notes.
Shakuntala Devi could do that long numericAl multiplication in a flash! (Nearly)
Thanks for the story
Her: "Math" The captions: "Maths"
How do you approach this problem?
You can watch the entire lecture, it's linked between the description and su scribe button I'd that helps 👍
Genius
What happens if you are lazy and not clever?
I'd smash
Thank you for the lecturre. Quick production tip, usiing the open source software OBS, it's easy enough to create audio filters that filter out background noise under x decibels.
I love how the movie just cuts of mid speech, but im a fucking retard with maths so I will never understand this anyway.
Rando question - what work has been done (if any, bc it's a dumb question), by transforming primes to a different vector space (might be a non sensical transformation), as the sum of fractions (or other mapping) and analyzing the problem in that space? Or using topology, algebraic geometery, are there any interesting results? Thanks and awesome to follow this genius work! (edit - a quick google says " It is, by construction, simply a relabeling of the natural numbers, so it will have the same structure they do.") :/
She should just say maths. You’re not in ‘special ED’ This is borderline - maybe not for you in particular - an inferiority. Why go to england at all!? Z =X1 + …. + Xn And N appears as ‘n’ is a random variable. Consider that N can take a codomain including naught. What does this mean? It surely isn’t exactly correct as you’ve done it! It’s more like a genus if anything…. Consider that there’s meaning there, or some serious implication of a priori dependence. Omega…..:)
Fantastic
It depends if you are using a calculator or app to solve it, sure they are exactly same 😂
For those wondering, the trick here was to split the integral of the cosine into 2 parts and use cos(x + pi) = -cos(x) to get 2 pieces of integrals that cancel each other. Same for the sine integral with sin(-x) = -sin(x)
Also the lesson seems to be about Fourier decomposition of a function
If it is a solved problem, you should think about a clever way to save some time. If it is a new problem, any trial-and-error is a valid effort before you actually get the answer.
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"Yup I understand... I'll let someone do my work for me..."
Henry needs more protein
Always look for simple solutions to a problem. I hate to agree, but it is, in fact, technically lazy! 😂
aha, an excuse to procrastinate
No they're not equally easy and I'm going to tell you why one takes a lot more space to process than the other if you try to do this with an 8-bit computer you'd have to use overflow buffers because there's not enough storage because there's a lot more processing happening so you could try to be silly and Fantastical all you want put large numbers are harder to work with end of story
Cringe american
what mathematicians do all day long? calculating.
given I'm watching this on youtube, statistically, there's a big chance that all of it is BS... great talk otherwise ;)
I have never been gaslighted like this.
So true
But if you were lazy you’ll also be lazy to find a trick at the first place, isn’t it?
College statistics sir
Be lazy and genius as well ... He forgot mention it
Honestly i was always so bad at math until my 10th grade teacher told me to just see math as art Some thing complex which you wish to simplify.As an artsy person that helped me because geometry became architectural sketches , algebra was interpreted like dance moves and function graphs seemed like music waves .Learning is differnt to everyone I guess
life
Where is his latter?
Well i HOPE you’d be able to tell what math was on your first day of class
Return Umbrellas Maths Debts Mortgage Scrap The data collected by your camera has recorded missing things of .......of my house so the probability of retrieval is impossible Random chance of watching the same rain ......is ............peculiar ......models ....... How the models appeared in the lobby of university .....how they got funds ???? AM
If it appeals to your intellect, it is likely too complicated. If it appeals to your convenience it is likely too rudimentary. If it appeals to simplicity and a different perspective, it could be part of the solution.
Is she single?
I am the best mathematician, because i am too lazy to solve the question.
HI GUYS AND REMEMBER JESUS LOVES YOU STAY BLESSED HE IS COMING BACK FOR HIS CHILDREN GOD BLESS YOU HE IS COMING SOONER THAN YOU THINK REPENT REPENT REPENT REPENT REPENT REPENT REPENT
31
I studied almost all of it, I forgot most of it but it helped me not give up on problems and always look for a solution.
I'm no one, but I recommend someone who teaches what integrals are and how they are connected to the derivatives. If you see the utility it is easier.
I must be the best mathematician out there, then.