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

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

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 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

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

What is the density for pva electrospining?

I'm Juan Carlos, a high school student who is working with electropinning, I made an electropinning machine with a 21g needle and a 30kv high voltage source and the distance between my needle is...

28 February 2021 298 3 View

Should we reduce the standard unit of length to 0.31951540592 meter ?

The reasoning behind this question is to align the ratios of the proton potential in energy per charge to the speed of light in distance per time. As these two dimensions appear to be related,...

27 February 2021 947 7 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

Has anyone used the Illumina ITS1 primer sets?

Hi everyone, Illumina provides a list of primers to amplify with high taxonomic coverage the ITS1 region for further fungal sequencing, but I cannot find the exact amount necessary of each...

25 February 2021 6,969 3 View

Statistics: include groups of respondents made by one person for analysis?

Good morning, I could not find literature about this so I am asking. I am organizing data for a questionnaire (N=100) that foresees some personal questions like level of education. For the aim...

25 February 2021 2,090 4 View

How do you mesh a thin solid in Fluent?

Hello, I have used the shell function on SpaceClaim to create thin solids for the model I am studying. These are contained within an enclosure for my study. I chose this approach as it avoids the...

24 February 2021 8,856 3 View