Results 41 to 50 of about 6,523,161 (276)
SummaryIn this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equationx2−Dy2= 1 has infinitely many solutions in positive integers for a givenDnot being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically ...
Acewicz, Marcin, Pąk, Karol
openaire +2 more sources
ABSTRACT Background Osteonecrosis (ON) is a debilitating complication of acute lymphoblastic leukemia (ALL) therapy. While numerous studies have explored its incidence and associated risk factors, investigations using large‐scale cohorts remain important to characterize ON across heterogeneous populations.
Noémie de Villiers +5 more
wiley +1 more source
Hasan Al-Banna's Approach In Reconciling The Flow Of Salaf And Khalaf: Study And Evaluation
The article is about the similarities in the understanding and method of faith between the Salaf and Khalaf schools. The Khalaf belief system is ta'wil, whereas the Salaf belief system is ithbat or tafwid. Hasan al-Banna claims that these two schools of
Nasron Yaacob
doaj
ABSTRACT Introduction Patients with ovarian cancer often present with massive ascites, leading to significant protein loss during surgical procedures. Although cell‐free concentrated ascites reinfusion therapy (CART) is used in palliative settings to mitigate protein loss, its application in intraoperative settings remains unexplored.
Yutaka Yoneoka +7 more
wiley +1 more source
Force calculation of the process of briquetting powder, chip and other bulk materials
The work is devoted to solving the axisymmetric problem of the theory of pressing porous bodies with practical application in the form of force calculation of metallurgical processes of briquetting small fractional bulk materials: powder, chip ...
O. M. Dyakonov
doaj +1 more source
Body Fat Assessment in International Elite Soccer Referees
Soccer referees are a specific group in the sports population that are receiving increasing attention from sports scientists. A lower fat mass percentage (FM%) is a useful parameter to monitor fitness status and aerobic performance, while being able to ...
Cristian Petri +7 more
doaj +1 more source
ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda +15 more
wiley +1 more source
Mapping the evolution of mitochondrial complex I through structural variation
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
Conservation laws of some lattice equations
We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger ...
Cheng, Jun-wei, Zhang, Da-jun
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The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients [PDF]
The general KdV equation (gKdV) derived by T. Chou is one of the famous (1+1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable.
Kobayashi, Tadashi, Toda, Kouichi
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