Basics of Functional Analysis and Function Spaces

2012 ◽  
pp. 125-150
Author(s):  
Weimin Han ◽  
B. Daya Reddy
Keyword(s):  
Functional Analysis ◽  
Function Spaces ◽  
And Function

scholarly journals On Certain Topological Properties of Normed Space Valued Null Function Space c0 (S, (E, || . || ), xi, u) and Its Paranormed Structure

2015 ◽  
Vol 15 (1) ◽  
pp. 121-128
Author(s):  
Narayan Prasad Pahari
Keyword(s):  
Functional Analysis ◽  
Function Space ◽  
Normed Space ◽  
Function Spaces ◽  
Sequence Spaces ◽  
Basic Sequence ◽  
Topological Properties ◽  
New Class ◽  
And Function ◽  
Class Of Functions

The aim of this paper is to introduce and study a new class c0 (S, (E, || . || ), ξ, u) of normed space E valued functions which will generalize some of the well known  basic sequence spaces and function spaces studied in Functional Analysis.. Beside the investigation pertaining to the linear paranormed structure of the class c0 ( S, (E, || . || ), ξ, u ) when topologized it with suitable natural paranorm , our primarily interest is to explore the conditions pertaining the containment relation of the class c0 (S, (E, || . || ), ξ, u) in terms of different ξ and u so that such a class of functions is contained in or equal to another class of similar nature.DOI: http://dx.doi.org/10.3126/njst.v15i1.12028Nepal Journal of Science and TechnologyVol. 15, No.1 (2014) 121-128

Convexity of integral transforms and function spaces

2007 ◽  
Vol 18 (1) ◽  
pp. 1-14 ◽  
Author(s):  
R. Balasubramanian ◽  
S. Ponnusamy ◽  
D. J. Prabhakaran
Keyword(s):  
Integral Transforms ◽  
Function Spaces ◽  
And Function

scholarly journals The T-shaped “axe” from Northeast Honduras: Observations on chronology and function of a pre Columbian stone tool

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Paul F. Healy ◽  
Daniel Savage
Keyword(s):  
Functional Analysis ◽  
Central America ◽  
Current Understanding ◽  
Stone Tool ◽  
Archaeological Research ◽  
Cambridge University ◽  
Distinctive Type ◽  
University Museum ◽  
And Function ◽  
Bay Islands

This paper provides a description and analysis of a distinctive type of pre-Columbian stone tool, usually termed a T-shaped axe, found almost exclusively in Northeast Honduras, Central America. There have been very few detailed or technical studies of lithics from Honduras. Early archaeological research and the current understanding of the regional prehistory are included, with Northeast Honduras viewed as a frontier zone located between the Mesoamerican and Isthmo-Columbian culture areas. Our study examines, in particular, a collection of these tools curated today at the Cambridge University Museum of Archaeology and Anthropology (CUMAA). The 39 (whole and fragmentary) specimens were collected between 1937 and 1939, from the Bay Islands, Northeast Honduras, but have never been published. This paper classifies the collection specimens into five varieties, based on morphology, with sample statistics, form dimensions, and illustrations provided for each. Manufacturing technology is primarily percussion flaking. The tool type is compared with similar specimens excavated and described from the Bay Islands and adjacent Honduran mainland, and with similar appearing implements from elsewhere in Central America. Insights about the possible age and function of these unusual, and distinctive, lithics are included. Based on preliminary macroscopic and microscopic analyses, it is concluded that the tools may have been employed as agricultural implements (hoes or spades), primarily for digging activities, rather than as axes or weapons used for cutting and slicing. It is most likely that these implements first appeared about 800 CE, and continued in use until at least 1400 CE. The tool type is most probably a local (not imported) product. More functional analysis is encouraged.

scholarly journals Functional Analysis in Embodiment Design - An Investigation of Embodiment Function Relations in Testing Activities

2019 ◽  
Vol 1 (1) ◽  
pp. 1503-1512
Author(s):  
Patric Grauberger ◽  
Katharina Voß ◽  
Sven Matthiesen
Keyword(s):  
Functional Analysis ◽  
Data Acquisition ◽  
Engineering Design ◽  
Student Development ◽  
Development Project ◽  
Embodiment Design ◽  
Development Literature ◽  
And Function ◽  
Data Acquisition And Processing

AbstractTesting contributes to success of engineering design as it plays an important role in gaining insights about the system in development. Literature indicates that for success in engineering design, gaining insights about relations of embodiment and function is crucial. In this contribution, an investigation of how insights about embodiment function relations are gained in testing, is conducted. For this, the testing documentation in a student development project is analysed. The results show a correlation of gaining insights about embodiment function relations to success in engineering design. Potential for improvement in data acquisition and processing is uncovered, which will be used in a succeeding study to investigate this issue in more detail.

The Paranormality of Subsets of Hyperspaces and Function Spaces

2018 ◽  
Vol 104 (1-2) ◽  
pp. 316-318
Author(s):  
A. V. Bogomolov
Keyword(s):  
Function Spaces ◽  
And Function
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