Bound estimates for the derivative of driving point impedance functions

Filomat ◽  
2018 ◽  
Vol 32 (18) ◽  
pp. 6211-6218 ◽  
Author(s):  
Bülent Örnek ◽  
Timur Düzenlı
Keyword(s):  
Analytic Function ◽  
Boundary Point ◽  
Imaginary Axis ◽  
Proved Theorem ◽  
Impedance Function ◽  
Boundary Analysis ◽  
Natural Result ◽  
The Right ◽  
Rlc Circuits ◽  
Impedance Functions

In this paper, a boundary analysis is carried out for the derivative of driving point impedance functions, which is mainly used for synthesis of networks containing RL, RC and RLC circuits. It is known that driving point impedance function, Z(s), is an analytic function defined on the right half of the s-plane. In this study, we derive inequalities for the modulus of derivative of driving point impedance function, |Z'(0)|, by assuming the Z(s) function is also analytic at the boundary point s = 0 on the imaginary axis and the sharpness of these inequalities is proved. Furthermore, an equation for the driving point impedance function, Z(s), is obtained as a natural result of the proved theorem in this study.

Research on Improvement Road Impedance Function Based on Vehicle Navigation System

2013 ◽  
Vol 659 ◽  
pp. 45-48
Author(s):  
Rui Wang ◽  
Zai Tang Wang
Keyword(s):  
Path Planning ◽  
Navigation System ◽  
Vehicle Navigation ◽  
Impedance Function ◽  
Vehicle Navigation System ◽  
Navigation Path ◽  
Planning Algorithm ◽  
Improved Model ◽  
Path Planning Algorithm ◽  
Impedance Functions

Comparing with some widely used road impedance functions, this paper choose BPR model as base model of improvement, and determine the parameter of BPR model. We apply the improved model to vehicle navigation system in the path planning algorithm, and experiments proved that the model satisfies navigation path planning requirement and have universal performance.

scholarly journals Discrete free products of two complex cyclic matrix groups

1979 ◽  
Vol 20 (1) ◽  
pp. 69-80 ◽  
Author(s):  
Ronald J. Evans
Keyword(s):  
Complex Plane ◽  
Imaginary Axis ◽  
Free Products ◽  
Matrix Groups ◽  
Linear Fractional Transformations ◽  
Real Trace ◽  
Extended Complex ◽  
Image Position ◽  
The Right ◽  
Extended Complex Plane

All 2-by-2 matrices in this paper are to be viewed as linear fractional transformations on the extended complex plane ℂ*. Let L+ and L− be the open half-planes to the right and left, respectively, of the extended imaginary axis L. Let Λ be the set of complex 2-by-2 matrices A with real trace and determinant ±1 such that A(L+) ⊂L−. Let Ω = Ω1 ∪ Ω2 ∪ Ω3 ∪ Ω4, Whereand

scholarly journals Conditional Processes Induced by Birth and Death Processes

2010 ◽  
Vol 2010 ◽  
pp. 1-24
Author(s):  
Masaru Iizuka ◽  
Matsuyo Tomisaki
Keyword(s):  
Stochastic Processes ◽  
State Space ◽  
Boundary Point ◽  
Markov Property ◽  
The Other ◽  
Birth And Death Processes ◽  
Left Boundary ◽  
Finite State ◽  
The Right ◽  
Finite State Space

For birth and death processes with finite state space, we consider stochastic processes induced by conditioning on hitting the right boundary point before hitting the left boundary point. We call the induced stochastic processes the conditional processes. We show that the conditional processes are again birth and death processes when the right boundary point is absorbing. On the other hand, it is shown that the conditional processes do not have Markov property and they are not birth and death processes when the right boundary point is reflecting.

An Investigation of Soil-Structure Interaction Effects Observed at the MIT Green Building

2016 ◽  
Vol 32 (4) ◽  
pp. 2425-2448 ◽  
Author(s):  
Ertugrul Taciroglu ◽  
Mehmet Çelebi ◽  
S. Farid Ghahari ◽  
Fariba Abazarsa
Keyword(s):  
Soil Structure ◽  
Transfer Functions ◽  
Green Building ◽  
Modal Identification ◽  
Beam Model ◽  
Impedance Function ◽  
Frequency Dependent ◽  
Flexible Base ◽  
Soil Foundation ◽  
Impedance Functions

The soil-foundation impedance function of the MIT Green Building is identified from its response signals recorded during an earthquake. Estimation of foundation impedance functions from seismic response signals is a challenging task, because: (1) the foundation input motions (FIMs) are not directly measurable, (2) the as-built properties of the super-structure are only approximately known, and (3) the soil-foundation impedance functions are inherently frequency-dependent. In the present study, aforementioned difficulties are circumvented by using, in succession, a blind modal identification (BMID) method, a simplified Timoshenko beam model (TBM), and a parametric updating of transfer functions (TFs). First, the flexible-base modal properties of the building are identified from response signals using the BMID method. Then, a flexible-base TBM is updated using the identified modal data. Finally, the frequency-dependent soil-foundation impedance function is estimated by minimizing the discrepancy between TFs (of pairs instrumented floors) that are (1) obtained experimentally from earthquake data and (2) analytically from the updated TBM. Using the fully identified flexible-base TBM, the FIMs as well as building responses at locations without instruments can be predicted, as demonstrated in the present study.

scholarly journals On the Behavior of an Analytic Function about an Isolated Boundary Point

1952 ◽  
Vol 4 ◽  
pp. 103-108 ◽  
Author(s):  
Makoto Ohtsuka
Keyword(s):  
Analytic Function ◽  
Meromorphic Function ◽  
Boundary Point ◽  
Open Set

Let D be an open set in the 2-plane, C its boundary, z0 a point on C, and f(z) a one-valued meromorphic function in D.

scholarly journals Accessibility Toolbox for R and ArcGIS

10.32866/8416 ◽  
2019 ◽  
Author(s):  
Christopher D. Higgins
Keyword(s):  
Impedance Function ◽  
Accessibility Analysis ◽  
Analysis Workflow ◽  
Travel Impedance ◽  
Study Context ◽  
Impedance Functions ◽  
Selection Of

Analyses of place-based accessibility undertaken in the popular ArcGIS environment require many time-consuming and tedious steps. Moreover, questions persist over the selection of an impedance function and cost or cut-off parameters. In response, this paper details a new Accessibility Toolbox for R and ArcGIS that includes a Python tool for conducting accessibility analyses and an interactive R Notebook that enables the visualization and customization of impedance functions and parameters. Using this toolbox, researchers and practitioners can simplify their accessibility analysis workflow and make better decisions about the specification and customization of travel impedance for their study context.

NATIONALISM AS A FACTOR OF OPPOSITION TO TODAY'S SOCIAL TRANSFORMATIONS

2020 ◽  
Vol 11 (4) ◽  
pp. 143-151
Author(s):  
S. V. Storozhuk ◽  
Keyword(s):  
Economic Development ◽  
Western World ◽  
Internal Stability ◽  
Creative Potential ◽  
Social Transformations ◽  
Common Values ◽  
Natural Result ◽  
The Right

The article shows that the dominance of liberal values in the Western world was a natural result of the development of capitalism and the resulting socio-cultural and ideological transformations. In particular, the development of capitalism causes a gradual extinction of existential pressure and leads to a change in life priorities – the need for security gives way to freedom, subordination to power – autonomy, discipline – the development of creative potential. Recognition of the right of each individual to determine and develop their own identity in the context of globalization leads to a sharp influx of immigrants in economic development and liberal countries, thus forming an axiological conflict within society, which causes an outbreak of nationalism as an ideology to protect their own interests, historically formed group and its inherent values. Meanwhile, modern nationalism is a counteraction to the destruction of the established axiological system, which is manifested only in that part of the population which has an individual psychological tendency to authoritarianism. Using alternative channels of a group of people united by common values, defending their own interests undermine the internal stability of states, finding the enemy in the middle of society.

Additive Automorphic Functions and Bloch Functions

1994 ◽  
Vol 46 (3) ◽  
pp. 474-484
Author(s):  
Rauno Aulaskari ◽  
Peter Lappan
Keyword(s):  
Analytic Function ◽  
Unit Disk ◽  
Fuchsian Group ◽  
Bloch Function ◽  
Hyperbolic Distance ◽  
Finitely Generated ◽  
Bloch Functions ◽  
The Right ◽  
Uniformly Continuous ◽  
Automorphic Functions

AbstractA function f analytic in the unit disk D is said to be strongly uniformly continuous hyperbolically, or SUCH, on a set E ⊂ D if for each ∊ > 0 there exists a δ > 0 such that |f(z) — f(z')| < ∊ whenever z and z' are points in E and the hyperbolic distance between z and z' is less than δ. We show that f is a Bloch function in D if and only if |f| is SUCH in D. A function f is said to be additive automorphic in D relative to a Fuchsian group F if, for each γ ∊ Γ, there exists a constant Aγ such that f(γ(z)) =f(z) + Aγ. We show that if an analytic function f is additive automorphic in D relative to a Fuchsian group Γ, where Γ is either finitely generated or if the fundamental region F of Γ has the right kind of structure, and if |f| is SUCH in F, then f is a Bloch function. We show by example that some restrictions on Γ are needed.

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