Must a quasi-Banach space of Rademacher type 1 have a point-separating dual?

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Does Leibniz-Reynolds transport theorem hold for variable Lipschitz domains in the sphere?

I have a family of simply connected domains Lipschitz domains D(t) on the unit n-1 sphere in Euclidean n-space. The domains vary continuously in t. Since the uniform limit of Lipschitz functions...

06 July 2018 6,208 0 View

If the Nakajima problem has an affirmative answer for convex bodies with a C^1 boundary, can it be shown to have an affirmative answer in general?

The Nakajima problem asks if a convex body with constant width and constant brightness must be a Euclidean ball. An affirmative answer is only known in three dimensions(Howard, 2006). A convex...

04 May 2018 6,189 1 View

Convex Bodies with C^2 boundaries and non-vanishing curvature?

Is there a convex symmetric body with C^2 boundary and non-vanishing Gaussian curvature in R^3 whose polar(dual) body fails to have non-vanishing Gaussian curvature?

01 February 2018 3,004 2 View

How does a PhD mathematician break into R&D or Data Science?

I am considering my options and would like to continue in academia but my current job which is partially remote is ending and my family situation restricts my job locations to the Pacific...

01 February 2018 613 0 View

There is an isometric embedding of \ell_1 into weak-L_1 using 1-stable random variables. Can anyone outline this construction for me?

There is a reference to such an embedding in a 2005 article of Nigel Kalton on Rademacher Decoupling. I've failed to figure out how to construct this embedding and am wondering if anyone can give...

01 February 2016 2,670 2 View

Is space-time dilation conceptually equivalent to space-time expansion?

Relativistic space-time is described as a four-dimensional continuum comprising three dimensions of space and one dimension of time. In this framework, space and time are interwoven, forming an...

29 July 2024 5,365 2 View

Ternary in Electrical Engineering?

Dear Research Community I would like to invite Elctrical Engineering specialists to solve problems related to Ternary Algebra or tripple sets I have an algorithm that places in relation three...

28 July 2024 5,771 2 View

The best source for amplification of ADAM17 prodomain?

hi every one I am making vector construction (for fusion proteins) and in this moment I wanna to amplification of ADAM17 prodomain with PCR. to yet, I couldn't amplified the ADAM17 prodomain with...

21 July 2024 8,660 1 View

Is there a name for this type of function?

Let n∈ℕ, where the function f:A⊆ℝ𝑛→ℝ, 𝐴 is Borel, and (A,d) is a completely seperable space. What is the name of the functions where the graph of f in any (n+1)-dimensional box of A×ℝ is...

17 July 2024 258 1 View

Does a Banach algebra version of "the sum of a closed subspace and a finite dimensional subspace is always closed" exist?

In the setting of Banach spaces, it is well know that if $M$ is a closed subspace of a Banach space $X$ and $F$ is a finite dimensional subspace of $X$, then $M+F$ is closed. Does a Banach...

16 July 2024 8,437 4 View

Can I detect the FLAG sequence of my AAV vector by qPCR?

I am treating human cells with an AAV vector encoding for my gene of interest tagged by FLAG. I want to quantify the mRNA expression of my gene of interest via qPCR to discriminate the endogenous...

14 July 2024 8,482 3 View

The 95% confidence interval, which ranges from 0.0 to 1.2, prompts the question: Is the regression coefficient significantly different from zero?

I utilized a Bayesian state space model to analyze the data. The 95% confidence interval, which ranges from 0.0 to 1.2, prompts the question: Is the regression coefficient significantly different...

01 July 2024 9,575 2 View

Is Schrödinger's equation the same as the heat diffusion equation?

Doing a Google search brings up the statement (Schrödinger's equation and the duality diffusion equations are equivalent. In turn, Schrödinger's 1931 conjecture is solved.). The above statement is...

25 June 2024 9,791 4 View

How to verify the relationship between the elements of public space (such as physical elements and cultural elements) and place attachment?

My research plan: First, via literature review and on-site investigation, summarize public space elements. Then, learn from literature that place attachment theory has two factors: place...

08 June 2024 3,808 0 View

How spectral bands and indices like (NDVI, NDBI) together used as input before supervised classification? In ArcGIS pro or any other software?

How Satellite Bands (Landsat/Sentinal) and indices (NDVI/NDBI) were composite together (Layer stacked) (In a single layer) before performing supervised classification (MLC/SVM/RF etc)? How it...

06 June 2024 2,207 1 View