# Questions tagged [applied-mathematics]

The applied-mathematics tag has no usage guidance.

107
questions

**15**

votes

**4**answers

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

**0**answers

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

**0**answers

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

**2**answers

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

**1**answer

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

**0**answers

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

**0**answers

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

**0**answers

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

**22**answers

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

**0**answers

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

**5**answers

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

**0**answers

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

**0**answers

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

**0**answers

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

**1**answer

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 ...