What is a good reference book for Linear Algebra focusing on linear maps instead of matrices?

I am looking for a reference book on linear algebra that uses linear maps instead of matrices and uses Einstein summation notation. Thanks in advance for your help. Regards, Zubair

02 March 2019 1,597 11 View

Are there generalizations of Holographic principle(proposed by Susskind) to arbitrary dimensions?

The holographic principle by Susskind states that the maximum amount of information stored in a 3D volume can be dictated by its surface area. Thus, in some way the boundary encodes the...

01 February 2019 204 8 View

Is there any literature in machine learning that tries to design classifiers without the notion of metrics?

Is there any literature that focuses on design of the classifier theoretically, without considering metrics.

02 March 2018 5,235 4 View

What is the best starting place to learn about the philosophy of Mathematics?

Where to begin, if I want to learn about Philosophy of Mathematics, assuming no knowledge of Philosophy and a minimal knowledge of mathematics. Any resource particularly books and YouTube lecture...

10 November 2017 898 13 View

Kindly point to fast implentations of Cech Complexes for point clouds?

I am looking for an algorithm that constructs Cech Complex for point clouds. I am specifically looking for some thing in Mathematica but any resource would be very helpful. I am looking for...

08 September 2017 9,278 2 View

What is the correct mathematical structure to represent a digital image?

The digital image is a collection of values of sensors arranged in a grid. These sensors have a field of view in the original world. Then it generates a value based on the phenomena that it...

08 September 2017 2,037 6 View

What is a delta complex as used in algebraic topology. What advantges does this offer over the conventional complexes?

Some easy to understand references from the literature will be much appreciated. Thanks in advance for all the answer. Regards, Zubair

04 May 2017 449 4 View

What are the best software and libraries for computational topology?

04 May 2017 3,293 0 View

How can you construct a continuous function with a peak at point (x,y) and decaying monotonically away from the point in 2D?

There are also n directional derivative constraints in n arbitrary directions. An algebraic formula for such a function would be beneficial. The function is 2D function on the domain [0,1]x[0,1]

03 April 2017 1,692 4 View

What is the basic concept of quantitative topology and how does it differ from the conventional notion of topology?

What is quantitative topology and what quality of a topological space does it aim to quantify? Thank you for all the answers in advance

03 April 2017 3,038 4 View

MD MOE RMSD

How to calculate the RMSD values for a MD simulation using MOE?

07 August 2021 0 0 View

MD MOE RMSD

How to calculate the RMSD values for a MD simulation using MOE?

07 August 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

Physics: Why do we describe light by referring to its wavelength, but microwaves and radar pulses by referring to their frequency?

In physics, the description of the properties of light generally refers to its wavelength (nm), while in the range of microwaves and radio waves we refer to the frequency of a signal (e.g. kHz or...

03 March 2021 1,682 3 View

Why are the velocities so high in my Boussinesq approximation Fluent simulation?

Hello, I have a mechanism where air rises due to convective flows. In this simulation, nothing is driving the air except this. I understand that the Boussinesq approximation only works for small...

02 March 2021 4,910 3 View

What is the characteristic length to determine the Reynolds number for the scattered turbulent fluid flow?

Dear all, I just saw this example in FB on the difference between laminar flow and turbulent flow. The flow from a pipe hits the sink and scattered. The flow from the pipe is characterized as...

02 March 2021 1,999 5 View

Why almost every element would be metallized in sufficiently high pressure and low temperature?

(This statement is from wikipedia, BTW). What is so special about metallic bond that is limiting high-P low-T state of a matter (as long as individual atoms exist, not white dwarf of neutron star...

02 March 2021 3,309 2 View