What is known of the version of Karamata's Characterization Theorem?

We are interested in new proofs, connections with others theories and variations of the following theorem. Th K (Karamata). If $f$ is monotone on some interval $[A,\infty)$, $$...

05 June 2018 4,148 1 View

How to solve an exremal problems related to harmonic functions?

11 December 2016 1,661 14 View

What are notable results in fixed point theory and applictions?

07 August 2016 6,907 5 View

Is mathematics effective in the natural sciences?

The question of course references Wigner's The Unreasonable Effectiveness of Mathematics in the Natural Sciences. Is mathematics unreasonably effective in the natural sciences? It has been argued...

04 May 2015 521 6 View

What is known about an inequality related to convex function?

The following inequality is known as Petrovic's inequality: Prop 1. Let $f : [0,\infty) \rightarrow \mathbb{R}$ be a convex function, and $(x_i)_{i=1}^n$, be a sequence of positive numbers....

01 January 1970 3,098 12 View

Are there some results related $Mod(\Gamma)$ and $Mod(\Gamma')$, where $\Gamma'$ the family which is the projection of $\Gamma$ onto a plane?

Let $S$ be a minimal surface in $R^3$ space and $\Gamma$ a family of curves on $S$. Further let $L$ be a plane in $R^3$ and $\Gamma'$ the family which is the projection of $\Gamma$ onto $L$. Are...

01 January 1970 8,321 4 View

No title

A reasonable method of defining an integral that includes the HK integral is to say a Schwartz distribution $f$ is integrable if it is the distributional derivative of a continuous function $F$....

01 January 1970 8,956 3 View

How to classify strictly upper triangular matrices by similarity?

Let F be a field. Consider U, the set of n times n strictly upper triangular matrices in F. For X, Y in U, we call them similar if there exists some S, which is non-degenerate and upper...

01 March 2021 2,957 8 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

Why is the sum of the elements in a row in a Q matrix equal to zero?

When explaining substitution models, the substitutions are expressed as Q matrix. Why is the sum of the elements in a row zero?

28 February 2021 3,864 3 View

Distribution of particles in metal matrix?

How would define the "good" and "poor" distribution of particles within the matrix. Is there a quantitative solution to assess the distribution of the particles, which then having denotation of...

28 February 2021 7,397 8 View

How to find a correlation between coordinates in a curvilinear coordinate system?

Hello. I have a skewed elliptical coordinate system (I use alternative elliptical coordinates). And I need to determine connections between coordinates in order to fetch a covariance matrix of...

28 February 2021 364 3 View

For modelling epoxy-based matrices (in composites), which model in ABAQUS is the most suitable, Concrete damaged plasticity or Drucker-Prager model?

I am working on developing a micromechanical FE model for predicting kink-band formation in UD composites. To model matrix plasticity, which model, out of Concrete Damaged Plasticity and...

28 February 2021 5,415 1 View

What are the methods used for CNT..?

Respected Professor's i hope you are doing well and happy. i need some information about carbon Nanotubes. before blending the CNT with the matrix the CNT has been introducing in some treatments....

24 February 2021 5,383 5 View

How can I generate random samples from Bingham distribution in R? How can I construct those symmetric matrices?

in the function rbingham(n,A) in R software how can I construct that A (symmetric) matrix?

24 February 2021 3,528 3 View

How does the injection volume impact LLOQ and ULOQ in regression analysis (LC-MSMS)?

Hello, I have run into an issue that has sparkled a debate at work: is the LLOQ/ULOQ impacted by injection volume under the following circumstances: 1) Same dilution factor of all samples 2)...

23 February 2021 9,159 3 View

Multinomial probabilities and confidence intervals - obtaining the CI of the reference category?

Hi, Some background to my question: I have fitted 1st order multinomial Markov models with covariates. Since all probabiilties (for each row of the transition matrix) sum to 1, I estimate only...

22 February 2021 2,541 4 View