GEODESICALLY PARALLEL TRANSFER OF A VECTOR ALONG THE CURVE ON THE SURFACE

We studied the problem of optimizing the Hausdorff distance between two convex polygons. Its minimization is chosen as the criterion of optimality. It is believed that one of the polygons can make arbitrary movements on the plane, including parallel transfer and rotation with the center at any point. The other polygon is considered to be motionless. Iterative algorithms for the phased shift and rotation of the polygon are developed and implemented programmatically, providing a decrease in the Hausdorff distance between it and the fixed polygon. Theorems on the correctness of algorithms for a wide class of cases are proved. Moreover, the geometric properties of the Chebyshev center of a compact set and the differential properties of the Euclidean function of distance to a convex set are essentially used. When implementing the software package, it is possible to run multiple times in order to identify the best found polygon position. A number of examples are simulated.

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Comparative Study of DDS with Different Types of Phase Accumulators

Inventions ◽

10.3390/inventions4030035 ◽

2019 ◽

Vol 4 (3) ◽

pp. 35

Author(s):

Oleksiy Polikarovskykh ◽

Lesia Karpova ◽

Ihor Hula ◽

Vasyl Melnychuk

Keyword(s):

Signal Transmission ◽

Block Length ◽

Maximum Output ◽

Output Frequency ◽

Direct Digital Synthesizer ◽

Transfer Delay ◽

Variable Block ◽

Different Types ◽

Parallel Transfer ◽

Transfer Signal

The paper deals with the problems of delayed transfer signals in the direct digital synthesizer (DDS) phase accumulator adders. Transfer delay is one of the factors that affect the maximum output frequency of the DDS synthesizer. The main types of adders used in DDS synthesizers are described. Separately, attention was paid to the adder with a consistent transfer of the transfer signal, adders with a transmission carry signal with a fixed block length, adders with a signal transmission delay with a variable block length, and a mathematical analysis of the origin and duration of the delay of the transfer signal in them. It was found that the use of a transfer adder with a variable length of a block in the core of a direct digital synthesizer would increase the maximum output frequency by 2.4 times compared to the adder with a parallel transfer, and by 1.43 times as compared with the adder with a fixed length the block.

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Textbook Theory

Advances in Educational Technologies and Instructional Design - Textbook Theory and Invariant Approaches to Language Learning ◽

10.4018/978-1-7998-2672-9.ch004 ◽

2020 ◽

pp. 96-114

Keyword(s):

Inverse Transformation ◽

Binary Opposition ◽

Speech Generation ◽

Functional Patterns ◽

Parallel Transfer ◽

Abstract Categories ◽

Fundamental Categories

Textbook theory seems to be at the farthest level from the most abstract categories, and it is repeatedly associated with in the current study. The connection of the principal fundamental categories of invariance and binarism are not even superficially traced to the traditional textbook theory inventory. The numerous conceptions of predication predominantly deal with its logical frames. The aim of the chapter is to explicate some hidden links between the levels of the conceptual vertical. The idea of invariance is embodied by the continuous iteration of binary predicative units originally incompressible in terms of their constituents and structure. Binary opposition is the category indissolubly active at every stage of speech generation. There have been found four functional patterns produced by a particular predicative operation. Each pattern correlates with all types of speech but to various extents, accenting some of them. They are parallel transfer, inverse transformation, convergent or divergent pivot structuring, and zooming.

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Beams Selection for MmWave Multi-Connection Based on Sub-6GHz Predicting and Parallel Transfer Learning

10.1109/iccc52777.2021.9580346 ◽

2021 ◽

Author(s):

Huajiao Chen ◽

Changyin Sun ◽

Fan Jiang ◽

Jing Jiang

Keyword(s):

Transfer Learning ◽

Parallel Transfer ◽

Selection For

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Functional Fiber Junctions for Circuit Routing in E-Textiles: Deterministic Alignment of MEMS Layout With Fabric Structure

Volume 2: Manufacturing Processes; Manufacturing Systems; Nano/Micro/Meso Manufacturing; Quality and Reliability ◽

10.1115/msec2021-63887 ◽

2021 ◽

Author(s):

Sushmita Challa ◽

M. Shafquatul Islam ◽

Danming Wei ◽

Jasmin Beharic ◽

Dan O. Popa ◽

...

Keyword(s):

Microelectromechanical Systems ◽

Flexible Substrate ◽

Fibrous Materials ◽

Mems Devices ◽

Image Processing Algorithm ◽

Mems Packaging ◽

Alignment Procedure ◽

Fabric Structure ◽

Parallel Transfer ◽

Functional Fiber

Abstract Fabrics and fibrous materials offer a soft, porous, and flexible substrate for microelectromechanical systems (MEMS) packaging in breathable, wearable formats that allow airflow. Device-on-fiber systems require developments in the field of E-Textiles including smart fibers, functional fiber intersections, textile circuit routing, and alignment methods that adapt to irregular materials. In this paper, we demonstrate a MEMS-on-fabric layout workflow that obtains fiber intersection locations from high-resolution fabric images. We implement an image processing algorithm to drive the MEMS layout software, creating an individualized MEMS “gripper” layout designed to grasp fibers on a specific fabric substrate during a wafer-to-fabric parallel transfer step. The efficiency of the algorithm in terms of a number of intersections identified on the complete image is analyzed. The specifications of the MEMS layout design such as the length of the MEMS gripper, spatial distribution, and orientation are derivable from the MATLAB routine implemented on the image. Furthermore, the alignment procedure, tolerance, and hardware setup for the alignment method of the framed sample fabric to the wafer processed using the custom gripper layout are discussed along with the challenges of the release of MEMS devices from the Si substrate to the fabric substrate.

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