A Completeness Criterion for Spectra

1977 ◽  
Vol 6 (2) ◽  
pp. 285-297 ◽  
Author(s):  
T. Hikita ◽  
A. Nozaki
Keyword(s):  
Completeness Criterion

Some orthogonal and complete sets of Bessel functions associated with the vibrating plate

1982 ◽  
Vol 91 (3) ◽  
pp. 503-515 ◽  
Author(s):  
J. R. Higgins
Keyword(s):  
Bessel Function ◽  
Bessel Functions ◽  
Main Concern ◽  
Edge Type ◽  
Completeness Criterion ◽  
Complete Sets ◽  
Clamped Edge ◽  
Vibrating Plate

AbstarctSome orthogonal sets of Bessel functions of real order v are identified using the equation Δ2u = utt of the vibrating plate. Our main concern is with the L2 completeness of such sets, and we prove that the well known ‘clamped edge’ type is complete for v > -1, thus completing a result of E. Dahlberg. We also study a very closely related set and show that it needs an extra (non-Bessel) function for completeness.Our method for proving the completeness is based on one given by H. Hochstadt in connection with Dini functions. We have found it necessary to reorganize Hoch-stadt's method and correct some errors contained in it.Certain isolated values of v require special attention and we treat these by subjecting the Dalzell completeness criterion to a continuity argument.

Characterization of zigzag De Morgan functions

2016 ◽  
Vol 08 (02) ◽  
pp. 1650030
Author(s):  
V. A. Aslanyan
Keyword(s):  
Boolean Functions ◽  
Present Author ◽  
Completeness Theorem ◽  
Discrete Mathematics ◽  
Functional Completeness ◽  
Completeness Criterion ◽  
Appl Math

Post’s functional completeness theorem for Boolean functions plays an important role in discrete mathematics. In paper [A functional completeness theorem for De Morgan functions, Discrete Appl. Math. 162 (2014) 1–16, doi: 10.1016/j.dam.2013.08.006.] a functional completeness criterion for De Morgan functions is established by the present author and Yu. Movsisyan. Namely, the concepts of closed, complete and precomplete classes of De Morgan functions are introduced there and a functional completeness theorem for De Morgan functions is proven. As a result it is shown that there are five precomplete classes of De Morgan functions. Four of those are defined as sets of functions preserving some finitary relations. However, the fifth class — the class of zigzag De Morgan functions, is not defined by relations. In this paper, we prove that zigzag De Morgan functions can be defined as De Morgan functions preserving an atmost 16-ary relation.

PENERAPAN MODEL EXPERIENTIAL LEARNING UNTUK MENINGKATKAN KEMAMPUAN MENULIS PUISI SISWA KELAS VIII C SMPN 3 PENEBEL

2020 ◽  
Vol 9 (1) ◽  
pp. 46-56
Author(s):  
Ni Putu Ayu Ratih
Keyword(s):  
Action Research ◽  
Experiential Learning ◽  
Learning Model ◽  
Average Score ◽  
Language Teacher ◽  
Completeness Criterion ◽  
Classroom Action Research

This study aimed to know (1) students’ competence by implementing experiential learning model, (2) steps in implementing experiential learning model, and (3) students’ response after the experiential learning model is implemented in writing subject of VIII C students in SMPN 3 Penebel. This classroom action research was conducted in two cycles which consists of five components; design, implementation, observation, evaluation, and reflection. The subjects of this study were teacher and VIII C. Observation, test, and questionnaire were the collection technique. The data were analyzed qualitatively and quantitatively. It was found that; (1) students’ competence is improved after experiential learning model was implemented, it can be seen from the initial reflection which showed that the students’ average score is 65. Their average score in cycle I is 74.3. Their average score in cycle 2 is 86. Those have achieved the minimum completeness criterion, 75. (2) The learning steps of implementing the experiential learning are introduction, content, and conclusion. (3) The students’ response is improved in every cycle. In cycle I, students’ responses are 1243 with average 43 positive categories. In cycle II, the responses have increased into 1410 with average 49 very positive categories. Thus, experiential learning model can improve students’ competence in writing poem. It is suggested that; (1) Indonesian language teacher or other teacher can use this learning model as guidance in teaching; and (2) other researchers can conduct a continuation research related to experiential learning model.

A signed measure completeness criterion

1989 ◽  
Vol 17 (3) ◽  
pp. 253-261 ◽  
Author(s):  
Anatolij Dvurečenskij ◽  
Sylvia Pulmannová
Keyword(s):  
Signed Measure ◽  
Completeness Criterion
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