Simple Tight Exponential Bounds on the First-Order Marcum Q-Function via the Geometric Approach

2006 ◽  
Author(s):  
Pooi Yuen Kam ◽  
Rong Li
Keyword(s):  
Geometric Approach ◽  
First Order ◽  
Exponential Bounds ◽  
Q Function

scholarly journals Tight bounds for the first order Marcum Q-function

2010 ◽  
Vol 12 (4) ◽  
pp. 293-301 ◽  
Author(s):  
Jiangping Wang ◽  
Dapeng Wu
Keyword(s):  
First Order ◽  
Q Function

Some applications of first-order differential subordinations

2017 ◽  
Vol 67 (4) ◽  
Author(s):  
Mamoru Nunokawa ◽  
Janusz Sokół
Keyword(s):  
Sufficient Conditions ◽  
Geometric Approach ◽  
Differential Subordination ◽  
First Order ◽  
Carathéodory Functions ◽  
Subordination Theory ◽  
Differential Subordinations

AbstractIn this work we present a new geometric approach to some problems in differential subordination theory. In the paper some sufficient conditions for function to be starlike or univalent or to be in the class of Carathéodory functions are obtained. We also discuss the new results closely related to the generalized Briot-Bouquet differential subordination.

Kinematic Geometry of Wheeled Vehicle Systems

1999 ◽  
Vol 121 (1) ◽  
pp. 50-56 ◽  
Author(s):  
S. V. Sreenivasan ◽  
P. Nanua
Keyword(s):  
Spherical Surface ◽  
Geometric Approach ◽  
First Order ◽  
Uneven Terrain ◽  
Geometric Conditions ◽  
Wheeled Vehicle ◽  
Kinematic Analyses ◽  
Motion Characteristics ◽  
The One ◽  
Wheeled Vehicles

This paper utilizes a kinematic-geometric approach to study the first-order motion characteristics of wheeled vehicles on even and uneven terrain. The results obtained from first-order studies are compared to those obtained from second order kinematic analyses, and special situations where the first-order analysis is inadequate are discussed. This approach is particularly suited for studying actively actuated vehicles since their designs typically do not include intentional passive compliances. It is shown that if a vehicle-terrain combination satisfies certain geometric conditions, for instance when a wheeled vehicle operates on even terrain or on a spherical surface, the system possesses a singularity—it possesses finite range mobility that is higher than the one obtained using Kutzbach criterion. On general uneven terrain, the same vehicles require undesirable ‘kinematic slipping’ at the wheel-terrain contacts to attain the mobility that it possesses on these special surfaces. The kinematic effects of varying the vehicle and/or terrain geometric parameters from their nominal values are discussed. The design enhancements that are required in existing off-road vehicles to avoid kinematic slipping are presented for a class of vehicles that include two-wheel axles in their designs.

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