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Stability of Real Parametric Polynomial Discrete Dynamical Systems
Published 2015-01-01“…The stability of the fixed points of canonical polynomial maps has been found to depend solely on a special function termed Product Position Function for a given fixed point. …”
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Lipschitz Analysis of g-Phase Retrievable Frames
Published 2025-01-01“…A g-phase retrievable frame is a $\lambda$-phase retrievable frame in finite dimensional Hilbert space $\mathcal{H}_n$, where $\lambda$ is an special function, which is called phase coefficient function. …”
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Singular Solutions to a (3 + 1)-D Protter-Morawetz Problem for Keldysh-Type Equations
Published 2017-01-01“…We consider a properly defined, in a special function space, generalized solution to problem PK for which existence and uniqueness theorems hold. …”
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Engineering chiral mesoporous silica nanoparticles: Template design and structural control for advanced applications
Published 2025-12-01“…These helical structures endow CMSNs with specialized functionalities, enabling their applications in chiral catalysis, enantioselective recognition, chiral separation, drug delivery, and optical devices, making them a focal point in materials and biomedical research. …”
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Paley and Hardy's inequalities for the Fourier-Dunkl expansions
Published 2025-01-01“…Originality/value – Dunkl theory is a generalization of Fourier analysis and special function theory related to root systems. Establishing Paley and Hardy's inequalities in these settings is a participation in extending the Dunkl harmonic analysis as it has many applications in mathematical physics and in the framework of vector valued extensions of multipliers.…”
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Mechanisms and environmental factors shaping the ecosystem of brain macrophages
Published 2025-01-01“…Microglia and BAMs are phenotypically and epigenetically distinct and exhibit highly specialized functions tailored to their environmental niches. …”
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A Comprehensive Analysis of Robustness in Interdependent Mechatronic Systems under Attack Strategies
Published 2021-01-01“…With the development of mechatronic systems, different kinds of subsystems within them are highly correlated to each other due to the demand for the special function. To assess the robustness in the mechatronic system under various disturbances, we build an interdependent mechatronic system as an interdependent machine-electricity-communication network (IMECN) and adopt the improved cascading failure model where the occurrence of the failure propagation is decided by a proportion threshold δ. …”
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Methods of Administrative and Legal Protection of Tax Relations: Theoretical and Legal Study
Published 2019-12-01“…It is conditioned by their special functional purpose – creation of conditions for independent prevention of possible breach of protected relations by the taxpayer. …”
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Calcium bridges built by mitochondria-associated endoplasmic reticulum membranes: potential targets for neural repair in neurological diseases
Published 2025-12-01“…This microstructural domain mediates several specialized functions, including calcium (Ca2+) signaling, autophagy, mitochondrial morphology, oxidative stress response, and apoptosis. …”
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Effect of Sports Energy Drink on Fat Metabolism and Weight Loss of College Students
Published 2022-01-01“…Energy drink is a combination of sports drinks, energy drinks, and other special functional drinks (such as nutrient drinks with added vitamins and minerals; herbal drinks with Chinese herbal ingredients), a general term for a large category of drinks that provide specific health and nutritional functions for special groups of people. …”
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Resource availability and competition shape pollinator trophic specialization in longleaf pine savannas
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Evaluation of wheat products with high flavonoid content: justification of importance of marker-assisted development and production of flavonoid-rich wheat cultivars
Published 2017-11-01“…In the structure of the global commodity supply in the food market in modern conditions it is necessary to note the emergence of a broad group of new high-tech products, and specialized functional food with high value added. The creation of varieties with a high content of flavonoids (plant compounds that can have a positive effect on human health) is one of the important directions of plant breeding oriented on the functional foods development. …”
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