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      Questions tagged [applied-mathematics]

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      15
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      4answers
      958 views

      Applications of mathematics in clinical setting

      What are some examples of successful mathematical attempts in clinical setting, specifically at the patient-disease-drug level? To clarify, by patient-disease-drug level, I mean the mathematical work ...
      2
      votes
      0answers
      105 views

      The topological complexity of polytopes

      Polytopes arise naturally when modelling fundamental structures in Biology such as RNA and proteins [1,2]. Recently, it occurred to me that a complexity measure on the topology of polytopes might be ...
      3
      votes
      0answers
      161 views

      Fast Bourgain embedding (or similar embeddings)?

      Currently I am working on applications of Bourgain Embedding (or similar embeddings of finite metric spaces to $l_2$) to automatic feature engineering for machine learning/data science ( http://www....
      9
      votes
      2answers
      264 views

      Differential Geometry applied to biology

      So this was originally a question posted here https://math.stackexchange.com/questions/3333252/differential-geometry-applied-to-biology. But I'll ask again here to see if I can get some different ...
      2
      votes
      1answer
      58 views

      Probability distributions with irregular behaviour

      Might there be a probability distribution $\mathcal{D}$ such that if we sample $a_i \sim \mathcal{D}([-N,N])$ where $[-N,N] \subset \mathbb{Z}$ then if we define the asymptotic estimate $f$: \begin{...
      1
      vote
      0answers
      124 views

      Research-level blogs on complex networks:

      I'm an applied mathematician that has a research interest in complex networks for modelling biological systems and I wondered whether the MathOverflow community might know of research-level blogs that ...
      1
      vote
      0answers
      69 views

      Plethora of variant neural networks?

      Since a decade ago when new life was breathed in to neural networks in the form of deep learning a plethora of different architectures have come about. Is there a reference that gives compendium of ...
      2
      votes
      0answers
      47 views

      Second order non-instantaneous impulsive evolution equations

      The first order linear non-instantaneous impulsive evolution equations is given as; $u'(t)=Au(t)~~ t\in[s_i,t_{i+1}],\,i\in\mathbb{N_0}:=\{0,1,2,...\}$ $u(t_i^+)=(E+B_i)u(t_i^-),\,\,i\in\mathbb{N}:=...
      48
      votes
      22answers
      6k views

      Which high-degree derivatives play an essential role?

      Q. Which high-degree derivatives play an essential role in applications, or in theorems? Of course the 1st derivative of distance w.r.t. time (velocity), the 2nd derivative (acceleration), and the ...
      3
      votes
      0answers
      63 views

      Use of Asymptotics in Diffusion Maps

      Question for brevity: Suppose $\varepsilon >0$ is small and that $$ f(\varepsilon) = f_1(\varepsilon) + \mathcal{O}(\varepsilon^k) $$ where $f_1$ has order $\varepsilon^{-\delta}$ for small fixed ...
      24
      votes
      5answers
      4k views

      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
      157 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
      37 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
      107 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
      77 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 ...

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