In this paper, we study an existential question for strictly decreasing convergent sequences. Applying Du's existence theorem, our will be answered affirmatively.

OBJECTIVE The incidence of melanoma is increasing worldwide, prevalence of malignant epithelial tumors is high and early diagnosis reduces significantly the morbi-mortality of these diseases. The purpose of the study is to estimate the prevalence of pre-malignant and malignant skin lesions and to determine the sensitivity and specificity of screening tests. METHODS A cross-sectional populatio...

After the covid has spread all over world, catering industry is facing an unprecedented problem. In order to make business rebound success, inverters need a rational choice avoid some potential risk in spending money catering. Since COVID, people are less likely enjoy their meal real which caused economic depression around world and made society mess. The research finds that food security one f...

We prove a basic result about tensor products of a II j factor with a finite von Neumann algebra and use it to answer, affirmatively, a question asked by S. Popa about maximal injective factors.

Given a centred distribution, can one find a time-homogeneous martingale diffusion starting at zero which has the given law at time 1? We answer the question affirmatively if generalized diffusions are allowed.

The following conjecture due to Y. Edel is affirmatively solved: two quadratic APN (almost perfect nonlinear) functions are CCZ-equivalent if and only if they are extended affine equivalent.

This paper shows that p-order metric regularity is preserved under perturbation of Hölder continuous mapping of order 1/p, which answers affirmatively a problem posed recently by Dontchev [2].

In the present paper, we characterize Fano Bott manifolds up to diffeomorphism in terms of three operations on matrix. More precisely, prove that given two X and $$X'$$ , following conditions are equivalent: As a consequence, affirmatively answer cohomological rigidity problem for manifolds.