Strong boundedness of analytic functions in tubes by Richard D. Carmichael

“…Certain classes of analytic functions in tube domains TC=ℝn+iC in n-dimensional complex space, where C is an open connected cone in ℝn, are studied. …”
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Derived categories and the analytic approach to general reciprocity laws. Part I by Michael Berg

“…We reformulate Hecke's open problem of 1923, regarding the Fourier-analytic proof of higher reciprocity laws, as a theorem about morphisms involving stratified topological spaces. …”
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Remarks on orthogonal polynomials with respect to varying measures and related problems by Xin Li

“…As an example, we present a simple and short proof for a known result on the weak-star convergence of orthogonal polynomials w.r.t, varying measures. …”
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Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications by Biwen Li, Huaping Huang

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Commutants of the Pommiez operator by Ivan H. Dimovski, Valentin Z. Hristov

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Problems on the teaching of geometry in comprehensive schools for 21st century by Valentina Dagienė

“…Geometry involves three kinds of cognitive processes which fulfill specific epistemological functions: (1) visualization processes with regard to space representation for the illustration of a statement, for the heuristic exploration of a complex situation, etc.; (2) construction processes by tools: construction of figu­rations can work like a model; (3) reasoning in relationship to discursive processes for extension of knowledge, for proof, for explanation. …”
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On the relation between Moore's and Penrose's conditions by Gaoxiong Gan

“…Moore (1920) defined the reciprocal of any matrix over the complex field by three conditions, but the beauty of the definition was not realized until Penrose (1955) defined the same inverse using four conditions. …”
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A new framework for shallow approximations of incompressible flows by Shourick, Nathan, Cheddadi, Ibrahim, Saramito, Pierre

“…A new framework for the asymptotic analysis of incompressible flows of complex non-Newtonian materials is presented in this paper. …”
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Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission by Ming-Tao Li, Gui-Quan Sun, Juan Zhang, Zhen Jin

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Simulation-based high-speed elongational rheometer for Carreau-type materials by Lukas Kannengießer, Walter Arne, Alexander Bier, Nicole Marheineke, Dirk W. Schubert, Raimund Wegener

“…The work can be understood as a proof of concept, a generalization to other, more complex materials is possible.…”
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TM-Chain: TCB Measurement Management Using Cloud Blockchain for IoT Devices by Jaemin Park, Sungjin Park

“…Based on TM-Chain, the verifiers launch remote attestation against the target devices using the TCB measurements verified by the cloud blockchain. We implemented a proof-of-concept (PoC) on a device to evaluate the performance overhead and a PoC on a public cloud to assess the feasibility.…”
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Mise en scène du paysage montagnard et valorisation sélective des patrimoines dans une vallée pyrénéenne en reconversion économique by Pierre Dérioz, Philippe Bachimon, Maud Loireau

“…This heritage part of the strategy is intended for the residents, the owners of secondary residences, and for tourists in the strict sense of the term: proof of this is in how the promotion of the industrial heritage has been accompanied the disappearance of its physical evidence in the landscape (destruction of the factory), the shift to the reconstruction of a memory being considered as a means of more effectively breaking with this industrial past.…”
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Spatially Formulated Connected Automated Vehicle Trajectory Optimization with Infrastructure Assistance by Ran Yi, Yang Zhou, Xin Wang, Zhiyuan Liu, Xiaotian Li, Bin Ran

“…Based on the formulation, we first conducted a mathematical proof on the controllability of our system, to show that our system can be controlled in the spatial domain and curvilinear coordinate. …”
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Towards evaluating and building versatile large language models for medicine by Chaoyi Wu, Pengcheng Qiu, Jinxin Liu, Hongfei Gu, Na Li, Ya Zhang, Yanfeng Wang, Weidi Xie

“…To demonstrate the dataset’s utility, we conducted a proof-of-concept experiment by performing instruction tuning on a lightweight, open-source medical language model. …”
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Redesigning geometry assessments to promote advanced geometric thinking: A case study on formal deduction and rigor by Scristia, Tatang Herman, Septy Sari Yukans

“…These redesigns are expected to help pre-service mathematics teachers tackle more complex mathematical problems by encouraging logical reasoning and argumentation. …”
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Estimation of Blood Pressure by Image-Free, Wearable Ultrasound by Ana Belen Amado Rey

“…Soon thereafter, in vivo measurements of BP and stiffness, and their correlation analysis will be performed to corroborate the accuracy of the developed proof-of-concept device.…”
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PTH1R-CaSR Cross Talk: New Treatment Options for Breast Cancer Osteolytic Bone Metastases by Yanmei Yang, Bin Wang

“…The effects of intermittent PTH and allosteric modulators of CaSR for the use of bone-anabolic agents and prevention of BrCa bone metastases constitute a proof of principle for therapeutic consideration. …”
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Protective Role of rAAV-NDI1, Serotype 5, in an Acute MPTP Mouse Parkinson's Model by Jennifer Barber-Singh, Byoung Boo Seo, Akemi Matsuno-Yagi, Takao Yagi

“…It is conceivable that the AAV-serotype5 carrying the NDI1 gene is a powerful tool for proof-of-concept study to demonstrate complex I defects as the causable factor in diseases of the brain.…”
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