scholarly journals Curious special function identities

2007 ◽  
pp. 22-27
Author(s):  
H.W. Gould
Keyword(s):  
Special Function

Brownian motion with quadratic killing and some implications

1986 ◽  
Vol 23 (04) ◽  
pp. 893-903 ◽  
Author(s):  
Michael L. Wenocur
Keyword(s):  
Brownian Motion ◽  
Weibull Distribution ◽  
Special Function ◽  
Function Theory ◽  
Killing Rate

Brownian motion subject to a quadratic killing rate and its connection with the Weibull distribution is analyzed. The distribution obtained for the process killing time significantly generalizes the Weibull. The derivation involves the use of the Karhunen–Loève expansion for Brownian motion, special function theory, and the calculus of residues.

WAY OF CONSTRUCTION OF TANGENTS IN UNITS SPIRAL DISCRETELY SUBMITTED CURVES WITH USE OF SPECIAL FUNCTION

2019 ◽  
Vol 19 (2) ◽  
pp. 278-287
Author(s):  
В.М. Щербина ◽  
◽  
О.Є. Мацулевич ◽  
С.М. Коломієць ◽  
◽  
...  
Keyword(s):  
Special Function

A canonical ensemble derivation of the McMillan-Mayer solution theory

1983 ◽  
Vol 48 (10) ◽  
pp. 2888-2892 ◽  
Author(s):  
Vilém Kodýtek
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Energy Function ◽  
Special Function ◽  
Helmholtz Free Energy ◽  
Canonical Ensemble ◽  
Free Energy Function ◽  
Solution Theory ◽  
Pure Solvent ◽  
The Common

A special free energy function is defined for a solution in the osmotic equilibrium with pure solvent. The partition function of the solution is derived at the McMillan-Mayer level and it is related to this special function in the same manner as the common partition function of the system to its Helmholtz free energy.

New useful special function in quantum optics theory

2016 ◽  
Vol 25 (8) ◽  
pp. 080303 ◽  
Author(s):  
Feng Chen ◽  
Hong-Yi Fan
Keyword(s):  
Quantum Optics ◽  
Special Function

User Interface Design for Maintenance/Troubleshooting Expert System

1985 ◽  
Vol 29 (4) ◽  
pp. 367-371
Author(s):  
Christopher G. Koch
Keyword(s):  
User Interface ◽  
Expert System ◽  
Expert Systems ◽  
Gas Turbine ◽  
Interface Design ◽  
Special Function ◽  
Input Output ◽  
Flat Panel ◽  
Voice Input ◽  
Control Functions

Expert systems applications for special environments impose special requirements on the user-system interface. A study was conducted to determine requirements and define a design concept for the interface for an expert system being developed to support corrective maintenance and troubleshooting of gas turbine electronic equipment and controls. The resulting design specifies a portable unit containing color flat panel video/graphics display, special function membrane keypad, miniature printer, and headset with voice input/output. Communication with the expert system is structured by multiple-window information presentation and voice-activated control functions.

Reforming Teaching and Management System and Improving Engineering and Technical Personnel Practice and Innovation Ability

2011 ◽  
Vol 291-294 ◽  
pp. 3278-3281
Author(s):  
Xue Min Gong ◽  
Jia Yong Zhang ◽  
Li Wen Guo
Keyword(s):  
Teaching Methods ◽  
Special Function ◽  
Test Methods ◽  
Market Demand ◽  
Teaching Management ◽  
Technical Personnel ◽  
Tutorial System ◽  
Reform Teaching ◽  
Innovation Ability ◽  
Personnel Practice

With the development of technology and the society, the demand standard of enterprise to talented person is more and more strict. Through analyzing the special function of some methods, such as to carry out tutorial system, to reform teaching methods, to strengthen teaching management, to improve engineering test methods and improve school infrastructure measures, this paper discusses the new method to cultivate high quality engineering and technical personnel to provid theoretical guidance for future universities to meet market demand and cultivate innovative talents.

Discussion on Colour Design of Medical Product Based on Visual Negative Afterimage Theory

2010 ◽  
Vol 102-104 ◽  
pp. 335-338
Author(s):  
Xing Fu Xiong ◽  
Chen Xiong
Keyword(s):  
Information Exchange ◽  
Special Function ◽  
Negative Influence ◽  
Medical Product ◽  
Space Environment ◽  
Negative Effects ◽  
Future Design ◽  
Medical Environment ◽  
Human Orientation ◽  
Organically Combine

This paper mainly analyses and discusses the application and significance of the visual negative afterimage on the colour design of medical product based on the visual negative afterimage theory. The design for the colour of medical product based on the visual negative afterimage theory focuses more human orientation in aspect of the visual effect design. The paper also points out that the trend of future design is to organically combine the art, the therapy features and the humanity.The complementary colour equilibrium of the visual negative afterimage will play a more and more important role in the colour design of the medical product. In the modern medical environment, the colour of the medical product has a decisive effect on the information exchange between people and the space environment. Although the visual negative afterimage is common in our daily life, the colour is not taken into consideration in the colour design of the medical product, which will result in negative effects. The colour is a strong and extremely attractive expression tool. Therefore, when the colour is designed for the medical product, it should be applied reasonably. The application of colour must be based on the special function requirements and the use of different people, so as to show its special function and requirements, which not only avoids the negative influence caused by the visual negative afterimage, but also creates a more humanistic atmosphere for the medical environment.

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