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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.
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...
Show Me the Maths - Arkady
zhlédnutí 4,6KPřed měsícem
Show Me the Maths - Arkady
Multivariable Calculus Lecture 4 - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 9KPřed 2 měsíci
Multivariable Calculus Lecture 4 - Oxford Mathematics 1st Year Student Lecture
Logging the World - Oliver Johnson
zhlédnutí 32KPřed 2 měsíci
Logging the World - Oliver Johnson
Multivariable Calculus Lecture 3 - Oxford Mathematics 1st Year Student Lecture
zhlédnutí 30KPřed 2 měsíci
Multivariable Calculus Lecture 3 - Oxford Mathematics 1st Year Student Lecture
Show Me the Maths - Becky
zhlédnutí 6KPřed 2 měsíci
Show Me the Maths - Becky
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
Show Me the Maths - Nathan
zhlédnutí 2,9KPřed 2 měsíci
Show Me the Maths - Nathan
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
Show Me the Maths - Josh
zhlédnutí 2,3KPřed 3 měsíci
Show Me the Maths - Josh
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
Show Me the Maths - Arun
zhlédnutí 2,5KPřed 3 měsíci
Show Me the Maths - Arun
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
A Puzzle for Christmas - the answer
zhlédnutí 2,2KPřed 4 měsíci
A Puzzle for Christmas - the answer
A Puzzle for Christmas
zhlédnutí 2,8KPřed 4 měsíci
A Puzzle for Christmas
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

Komentáře

  • @KikeV2R0
    @KikeV2R0 Před 48 minutami

    So basically to be a good mathematician you have to be a physicist 😜 (Just joking ❤)

  • @ShraddhaSingh-oh8yg
    @ShraddhaSingh-oh8yg Před 58 minutami

    nice❤

  • @pooritech
    @pooritech Před hodinou

    Japanese Glass Pen making is a practical exmeple of Miura Ori. Here. czcams.com/users/shorts2DsyTO-fuBU?si=tXMIgs0fyC16Mz4Z

  • @stevenmellemans7215
    @stevenmellemans7215 Před 2 hodinami

    Fermat at the age of 10? Surely his birthday is feb 29.😊

  • @F.Butler03
    @F.Butler03 Před 2 hodinami

    He’ll either have pasta or he won’t so it’s 50%

  • @raphaelgomes2947
    @raphaelgomes2947 Před 2 hodinami

    She should check out music through and just hold much can be done with, effectively, just 12 notes, and often even fewer than that.

  • @julietmike1941
    @julietmike1941 Před 2 hodinami

    Must have been a morning class because the class doesn't react to a lot of the amusing things he says.

  • @r3d5ive87
    @r3d5ive87 Před 3 hodinami

    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.

  • @dougr.2398
    @dougr.2398 Před 3 hodinami

    Shakuntala Devi could do that long numericAl multiplication in a flash! (Nearly)

  • @OzGoober
    @OzGoober Před 10 hodinami

    Thanks for the story

  • @connorjohnmark
    @connorjohnmark Před 12 hodinami

    Her: "Math" The captions: "Maths"

  • @gtrecc5454
    @gtrecc5454 Před 12 hodinami

    How do you approach this problem?

    • @profdrmrpengalangthethird2126
      @profdrmrpengalangthethird2126 Před 3 hodinami

      You can watch the entire lecture, it's linked between the description and su scribe button I'd that helps 👍

  • @voxyloids8723
    @voxyloids8723 Před 13 hodinami

    Genius

  • @YangSook523
    @YangSook523 Před 13 hodinami

    What happens if you are lazy and not clever?

  • @t_c5266
    @t_c5266 Před 15 hodinami

    I'd smash

  • @victorblaer
    @victorblaer Před 15 hodinami

    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.

  • @barzinimongo
    @barzinimongo Před 15 hodinami

    I love how the movie just cuts of mid speech, but im a fucking retard with maths so I will never understand this anyway.

  • @victorblaer
    @victorblaer Před 15 hodinami

    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.") :/

  • @scottychen2397
    @scottychen2397 Před 15 hodinami

    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…..:)

  • @neilclay5835
    @neilclay5835 Před 16 hodinami

    Fantastic

  • @oylesine61
    @oylesine61 Před 17 hodinami

    It depends if you are using a calculator or app to solve it, sure they are exactly same 😂

  • @ccrouzet
    @ccrouzet Před 17 hodinami

    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)

    • @ccrouzet
      @ccrouzet Před 17 hodinami

      Also the lesson seems to be about Fourier decomposition of a function

  • @orderofchaos8680
    @orderofchaos8680 Před 18 hodinami

    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.

  • @ukaszblok479
    @ukaszblok479 Před 18 hodinami

    31 %

  • @VenkyDenky
    @VenkyDenky Před 22 hodinami

    .31

  • @shuukenji6585
    @shuukenji6585 Před 23 hodinami

    "Yup I understand... I'll let someone do my work for me..."

  • @YG-kk4ey
    @YG-kk4ey Před dnem

    Henry needs more protein

  • @1972h-myplayaround-acc-now

    Always look for simple solutions to a problem. I hate to agree, but it is, in fact, technically lazy! 😂

  • @chessbergen
    @chessbergen Před dnem

    aha, an excuse to procrastinate

  • @austinjones265
    @austinjones265 Před dnem

    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

  • @Hammett849
    @Hammett849 Před dnem

    what mathematicians do all day long? calculating.

  • @andreidei
    @andreidei Před dnem

    given I'm watching this on youtube, statistically, there's a big chance that all of it is BS... great talk otherwise ;)

  • @PTAdnan
    @PTAdnan Před dnem

    I have never been gaslighted like this.

  • @sebastiancars3542
    @sebastiancars3542 Před dnem

    So true

  • @ajml6_
    @ajml6_ Před dnem

    But if you were lazy you’ll also be lazy to find a trick at the first place, isn’t it?

  • @user-hm2gb6pm6b
    @user-hm2gb6pm6b Před dnem

    College statistics sir

  • @sahanglp3i-271
    @sahanglp3i-271 Před dnem

    Be lazy and genius as well ... He forgot mention it

  • @kiwiplum-iv8hp
    @kiwiplum-iv8hp Před dnem

    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

  • @Quranic_Bookmarks
    @Quranic_Bookmarks Před dnem

    life

  • @Boxing_Gamer
    @Boxing_Gamer Před dnem

    Where is his latter?

  • @maxwellsimon4538
    @maxwellsimon4538 Před dnem

    Well i HOPE you’d be able to tell what math was on your first day of class

  • @user-hm2gb6pm6b
    @user-hm2gb6pm6b Před dnem

    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

  • @roger_isaksson
    @roger_isaksson Před dnem

    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.

  • @APaleDot
    @APaleDot Před dnem

    Is she single?

  • @AhmedAljawwi
    @AhmedAljawwi Před dnem

    I am the best mathematician, because i am too lazy to solve the question.

  • @user-qz2ug3nx6k
    @user-qz2ug3nx6k Před dnem

    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

  • @shnobles1o554
    @shnobles1o554 Před dnem

    31

  • @halcon2134
    @halcon2134 Před dnem

    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.

  • @halcon2134
    @halcon2134 Před dnem

    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.

  • @HeatherHolt
    @HeatherHolt Před dnem

    I must be the best mathematician out there, then.