Published in The B.E. Journal of Theoretical Economics
We revisit the linear Cournot model with uncertain demand that is studied in Lagerlöf (2006. “Equilibrium Uniqueness in a Cournot Model with Demand Uncertainty.” The B.E. Journal of Theoretical Economics 6, no. 1. (Topics), Article 19: 1–6.) and provide sufficient conditions for equilibrium uniqueness that complement the existing results. We show t...
Published in Journal für die reine und angewandte Mathematik (Crelles Journal)
Let C be a smooth projective curve (resp. ( S , L ) {(S,L)} a polarized K 3 {K3} surface) of genus g ⩾ 11 {g\geqslant 11} , with Clifford index at least 3, considered in its canonical embedding in ℙ g - 1 {\mathbb{P}^{g-1}} (resp. in its embedding in | L | ∨ ≅ ℙ g {|L|^{\vee}\cong\mathbb{P}^{g}} ). We prove that C (resp. S) is a linear section of...
Published in Forum Mathematicum
We apply differential operators to modular forms on orthogonal groups O(2,ℓ){\mathrm{O}(2,\ell)} to construct infinite families of modular forms on special cycles. These operators generalize the quasi-pullback. The subspaces of theta lifts are preserved; in particular, the higher pullbacks of the lift of a (lattice-index) Jacobi form ϕ are theta l...
Published in Fractional Calculus and Applied Analysis
The problem whether a given pair of functions can be used as the kernels of a generalized fractional derivative and the associated generalized fractional integral is reduced to the problem of existence of a solution to the Sonine equation. It is shown for some selected classes of functions that a necessary condition for a function to be the kernel ...
Published in Nanophotonics
A high efficiency hardware integration of neural networks benefits from realizing nonlinearity, network connectivity and learning fully in a physical substrate. Multiple systems have recently implemented some or all of these operations, yet the focus was placed on addressing technological challenges. Fundamental questions regarding learning in hard...
Published in Open Medicine
Background Cerebral ischemia and reperfusion injury (CIRI) affects bodily function by causing irreversible damage to brain cells. The diverse pathophysiological course factors hinder the research work to go deeper. Long noncoding RNA taurine-upregulated gene 1 (TUG1) has been reported to be related to CIRI. This study explored the undefined regulat...
Published in Open Medicine
Objective This study was designed to compare the diagnostic efficacy of ultrasonography (US) and magnetic resonance imaging (MRI) in detecting changes in the knee of patients with rheumatoid arthritis (RA) and discover the possible association between the serological index and bone erosion detected by US. Patients and methods In this retrospective ...
Published in Open Medicine
Long noncoding RNA (lncRNA) metastasis-associated lung adenocarcinoma transcript 1 (MALAT1) was reported as an oncogene in many tumors including retinoblastoma (RB). This research mainly focused on the functions and mechanism of MALAT1 in RB. MALAT1 was upregulated in RB tissues and cells, and it served as a competing endogenous RNA (ceRNA) and inh...
Published in Open medicine (Warsaw, Poland)
Depending on breakpoints of rearrangement different types of BCR-ABL fusion protein can be generated in patients of chronic myeloid leukemia (CML). The aim of this study is to observe frequencies of major transcripts in CML patients by reverse transcriptase polymerase chain reaction (RT-PCR) and their hematological features at the time of presentat...
Published in Open medicine (Warsaw, Poland)
During embryonic development in women, a regression of temporary embryonic structures - mesonephric (Wolffian) ducts occurs. Adnexal tumors of Wolffian duct origin (FATWO) are rare. We presented the case of a 64-year-old female patient who was diagnosed with FATWO. After the surgical treatment, the uterus with bilateral adnexal structures was submi...
