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      Questions tagged [applied-mathematics]

      The tag has no usage guidance.

      24
      votes
      5answers
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      Is the field of q-series 'dead'? [closed]

      I had a discussion with my advisor about what am I interested as my future research direction and I said it is special functions and q-series. He laughed and said that the topic is essentially dead ...
      0
      votes
      0answers
      148 views

      The collected works of John von Neumann

      Might there be an online collection of John von Neumann's collected works in pdf format? I'm particularly interested in his approach to applied mathematics(ex. shockwaves, hydrodynamics). Note: I ...
      0
      votes
      0answers
      36 views

      Stochastic process for minimize a mean

      I have the next problem: consider an inventory process $\{X_{k}\}$ such that $X_{k+1}=X_k+A_k-\xi$, $X_0=25$, where $A_k$ is the number of items of items produced at the $k$th-month and $\xi$ is the ...
      1
      vote
      0answers
      103 views

      Doubts related Shifting from Pure to Applied math [closed]

      I am a second year (Pure) Math and (Theoretical) Physics undergraduate in India. I want to do a masters in Applied/Computational Science or Math, for which I have apply after next 7 months. I have ...
      4
      votes
      1answer
      73 views

      Numerical instability of the axis-angle representation of rotations in 3D

      Suppose that I have $1000$ pair of points where each pair consists of a point in $\mathbb{R}^3$ and its image after a rotation in $\mathrm{SO}(3)$ with some noise. I have used RANSAC to find the ...
      3
      votes
      1answer
      109 views

      Variation of steepest descent/Laplace methods for non-exponential integrands

      I was wondering if versions of the Laplace/steepest descent methods exists for integrals of the type $$\int_C f(z) M(\lambda g(z)) dz$$ for $\lambda >>0$ functions $f(z), g(z): \mathbb C \...
      6
      votes
      1answer
      93 views

      Further Developments of Lieb-Schultz-Mattis theorem in Mathematics

      The Lieb-Schultz-Mattis theorem [1] and its higher-dimensional generalizations [2] says that a translation-invariant lattice model of spin-1/2's cannot allow a non-degenerate ground state preserving ...
      15
      votes
      1answer
      1k views

      Is there any paper which summarizes the mathematical foundation of deep learning?

      Is there any paper which summarizes the mathematical foundation of deep learning? Now, I am studying about the mathematical background of deep learning. However, unfortunately I cannot know to what ...
      3
      votes
      2answers
      811 views

      On Mathematical Foundations of Football

      Football (soccer) is arguably one of the most unpredictable sports. Countless variables play a role in determining the outcome of a certain football match. Due to the high complexity of the entire set ...
      33
      votes
      3answers
      3k views

      On Mathematical Analysis of MathSciNet & MathOverflow

      This question has two original motivations: mathematical and social. The mathematical motivation is mainly based on what I have seen about Zipf's law here and there. The Zipf's law simply states ...
      2
      votes
      0answers
      240 views

      How to promote a blog?

      Math behind might be interesting. Quite recent bloggingg activity might have interesting math model. The point is that bloggers compete for subscribers and at the same time cooperate gaining ...
      9
      votes
      3answers
      466 views

      Are there any books/articles that apply abstract coordinate free differential geometry to basic thermodynamics?

      The mathematical structure of thermodynamics by Peter Salamon (pdf) would be an example, but i would like a more abstract natural formulation of application of differential geometry or even geometric ...
      1
      vote
      0answers
      69 views

      Questions about generalized Polynomial Chaos, book by Dongbin Xiu

      I have some questions about Chapter 5 from the book Numerical Methods for Stochastic Computations, by Dongbin Xiu. Theorem 5.7: Let $Y$ be a random variable and $\mathbb{E}[Y^2]<\infty$. Let $Z$ ...
      66
      votes
      9answers
      8k views

      Mathematical conjectures on which applications depend

      What are some examples of mathematical conjectures that applied mathematicians assume to be true in applications, despite it being unknown whether or not they are true?
      20
      votes
      1answer
      1k views

      Why is Persistent Cohomology so much faster than Persistent Homology

      I refer to this paper: http://www.mrzv.org/publications/dualities-persistence/manuscript/ According to the results in the paper, especially the experiments in page 15 it shows that persistent ...

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