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

How can the use of Jolly Phonics improves the quality of reading, speaking and writing in rural disadvantaged communities in Papua New Guinea?

Jolly Phonics reading program is an effective way to teach early reading to young learners. How can lectures at the university prepare early childhood student teachers to teach Jolly Phonics to...

03 March 2021 3,731 3 View

Does Napabucasin soluble in dichloromethane and in ethanol?

I need to prepare a solution of Napabucasin (inhibitor of cancer cell stemness) in dichloromethane. The drug is expensive, so maybe somebody already tried to do it. If it is soluble, what is the...

02 March 2021 9,945 3 View

Is there any rich, publicly available English literary corpus?

Hi everyone. I am looking for a rich corpus in English literature, a one which includes literary prose ( e.g., novels or short stories) . can anyone propose a good one? Best regards Fatemeh

01 March 2021 1,970 2 View

Is CD44 degraded in lysosome together with hyaluronan after CD44 mediated endocytosis of hyaluronic acid?

Also when RHAMM binds hyaluronic acid, they get internalized, will RHAMM also be degraded? Or both CD44 and RHAMM will be transferred back to the cell membrane? Asking for breast cancer cell line...

01 March 2021 8,169 2 View

Unknown debris sheets observed in cell culture flasks?

Hi, We culture neural progenitor cells in T175 culture flasks coated with PLO-Laminin. We have successfully grown these cells with our protocol for months. Recently, we observed large sheets...

25 February 2021 3,443 4 View

Which are the most recent implications of ESL Academic Discourse in language teaching?

Language teachers at UTP (Language Department) are increasingly interested in the role of academic papers in the development of language (English) teaching practices. Research papers in Academic...

22 February 2021 1,388 4 View

Which database is the most suitable for checking English bigrams frequency?

Which database is the most suitable for checking English bigrams frequency? We want to assess the frequency of different English graphemes. Most of the databases that we have checked seem to...

18 February 2021 4,565 3 View

Oil red O protocol for flow cytometry?

18 February 2021 4,214 3 View

Can I follow Researchers from Teaching and testing areas?

I want Researchers from Educational Measurement and Evaluation, relating to teaching, learning , academic performance and test validation

18 February 2021 4,757 13 View

Which detection method is better for an ELISA-based assay: colorimetric or fluorometric?

Hello, I am planning to perform an ELISA-based assay to quantify the percentage of genomic methylation (5-methylcytosine) in human embryonic stem cells. I've been searching for some kits and I...

16 February 2021 8,389 3 View