Is the Hausdorffness a necessary condition for a manifold to be smooth ?

Is the Hausdorffness a necessary condition for a manifold to be smooth? If not, why we include Hausdorff condition in the definition of differentiable manifold?

03 April 2017 4,688 7 View

What is the geometrical meaning if $H$ and $H^{\ast}$ are perpendicular ?

Let $M$ be a submanifold of a Statistical manifold $\overline{M}$. If $H$ and $H^{\ast}$ are mean curvature vector fields, then what do you mean by $H$ and $H^{\ast}$ are perpendicular.

02 March 2017 382 0 View

Is a Statistical manifold completely capture the structure of Statistical model ?

Is a Statistical manifold completely capture the structure of Statistical model ?

06 July 2016 508 3 View

In case of hypersurfaces why we take {D_X\Xi}=0 ?

03 April 2016 7,578 5 View

How to model the battery pack in PSIM or PSCAD?

Hello, I have simulated a single battery cell using Thevenin equivalent circuit. For a battery pack, I have a large number of cells connected in series and parallel connections. Is there any way...

28 February 2021 2,116 1 View

How to find the right number of integration points in second order 3d finite elements?

I am familiar with finite element simulations and numerical schemes like the Gauss Legendre quadrature. I also know that the Gauss integration yields exact values for polynomials up to degree 2n-1...

27 February 2021 6,818 3 View

How to evaluate unsupervised clustering metrics when some elements do not have a cluster label in the result?

I run algorithms like HDBSCAN and MeanShift, and compare them with K-means and GaussianMixture. The first two algorithms do not return cluster labels for some elements in the dataset. My question...

27 February 2021 428 3 View

High aspect ratio hexahedral mesh optimization solver?

I am interested in evaluating mesh optimization solvers that converge to high aspect ratio unstructured hexahedral grids. In other words, I am interested in a solver that optimizes warpage,...

26 February 2021 7,279 2 View

Anyone with some Transgenomic Wavemaker software? Seeking help from the chromatography community?

I am trying to seek out some Transgenomic Wavemaker software (happy to purchase a computer too) to operate a fraction collector. The only way to connect to the fraction collector so far is to...

23 February 2021 9,181 1 View

How to validate regridding results of environemental data to higher spatial resolution in R?

I am working with several continous, environmental marine datasets at varying original spatial resolutions. My aim is to regrid each dataset to one common, high resolution grid. I am currently...

22 February 2021 2,290 2 View

The Role of Town Planners in CAV Use?

Colleagues and I are about to begin a project investigating the role of town planners and local authorities in establishing the introduction of connected and autonomous vehicles (CAVs). What...

21 February 2021 2,247 3 View

Assistance in finalizing and publishing an article on human resource management in forestry?

Dear colleagues! We have prepared an article on the current status of human resources potential of municipal state forest management institutions of Kazakhstan. Since this is my first experience...

16 February 2021 8,611 3 View

Pile-Raft connection?

Greetings, I was wondering what is the optimal way to connect the reinforcement at the top of the pile (the part that connects to the raft foundation): -The pile bars are left straight and...

16 February 2021 2,007 3 View

Is there any kind of data available for connection properties like signal strength between UE and RAN?

Is there any kind of data available for connection strength between UE and RAN? I am looking for signal strength, the geographical coverage of RAN's in a given Tracking Area, Coverage Area over a...

16 February 2021 1,073 5 View