On the Ashbaugh–Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian

2021 ◽  
Vol 14 (7) ◽  
pp. 2069-2078
Author(s):  
Qiaoling Wang ◽  
Changyu Xia
Keyword(s):  
Lower Order ◽  
Dirichlet Eigenvalues ◽  
Eigenvalues Of The Laplacian

Range of the first two eigenvalues of the laplacian

1994 ◽  
Vol 447 (1930) ◽  
pp. 397-412 ◽  
Keyword(s):  
Local Minimum ◽  
Unit Area ◽  
Circular Disc ◽  
Planar Domain ◽  
Dirichlet Eigenvalues ◽  
Eigenvalues Of The Laplacian ◽  
Straight Lines

For each planar domain D of unit area, the first two Dirichlet eigenvalues of —∆ on D determine a point (λ 1 ( D ), λ 2 ( D ) in the (λ 1 , λ 2 ) plane. As D varies over all such domains, this point varies over a set R which we determine. Its boundary consists of two semi-infinite straight lines and a curve connecting their endpoints. This curve is found numerially. We also show how to minimize the n th eigenvalue when the minimizing domain is diconnected. For n = 3 we show that the minimizing domain is connected and that λ 3 is a local minimum for D a circular disc.

Experiments with a Quadrupole Octopole Corrector in a STEM

1977 ◽  
Vol 35 ◽  
pp. 90-91 ◽  
Author(s):  
V. Beck
Keyword(s):  
Lower Order ◽  
Spherical Aberration ◽  
Mechanical Alignment

Recently a number of experiments have been carried out on a STEM which included a multipole corrector for primary spherical aberration. The results of these experiments indicate that the correction of primary spherical aberration with magnetic multipoles is beset with very serious difficulties related to hysteresis.The STEM and corrector have been described previously. In theory, the corrector should cancel primary spherical aberration so that other aberrations limit the resolution. For this instrument, secondary spherical aberration should limit the resolution to 1 A at 50 kV. A thorough study of misalignment aberrations was made. The result of the study indicates that the octopoles must be aligned to 1000 A. Since mechanical alignment cannot be done to this accuracy, trim coils were built into the corrector in order to achieve the required alignment electrically. The trim coils are arranged to excite all the lower order moments of an element.

Psychometric Definition of Rorschach Determinant Component Structure

1998 ◽  
Vol 14 (2) ◽  
pp. 116-123 ◽  
Author(s):  
Raymond M. Costello
Keyword(s):  
Lower Order ◽  
Three Dimensions ◽  
Comprehensive System ◽  
Empirical Examination ◽  
Component Structure ◽  
Exner's Comprehensive System ◽  
Factor Analytic ◽  
Confirmatory Factor ◽  
Components Analysis ◽  
Definition Of

This is an empirical examination of Experienced Stimulation (es) and Experience Actual (EA) from Exner's Comprehensive System (CS) for Rorschach's Test, spurred by Kleiger's theoretical critique. Principal components analysis, Cronbach's α, and inter-item correlational analyses were used to test whether 13 determinants used to code Rorschach responses (M, FM, m, CF+C, YF+Y, C'F+C', TF+T, VF+V, FC, FC', FV, FY, FT) are best represented as a one, two, or more-dimensional construct. The 13 determinants appear to reflect three dimensions, a “lower order” sensori-motor dimension (m + CF+C + YF+Y + C'F+C' + TF+T + VF+V) with a suggested label of Modified Experienced Stimulation (MES), a “higher order” sensori-motor dimension (FM + FV + FY + FT) with a suggested label of Modified Experience Potential (MEP), and a third sensori-motor dimension (M+FC+FC') for which the label of Modified Experience Actual (MEA) is suggested. These findings are consistent with Kleiger's arguments and could lead to a refinement of CS constructs by aggregating determinants along lines more theoretically congruous and more internally consistent. A RAMONA model with parameters specified was presented for replication attempts which use confirmatory factor analytic techniques.

READING EXERCISES FOR VIII GRADE STUDENTS BASED ON BLOOM’S TAXONOMY

2017 ◽  
Vol 6 (3) ◽  
Author(s):  
Intan Permata Sari And Indra Hartoyo
Keyword(s):  
Data Analysis ◽  
Lower Order ◽  
Bloom's Taxonomy ◽  
Higher Order Thinking ◽  
Thinking Skills ◽  
Higher Order ◽  
Critical Thinking Skills ◽  
Thinking Skill ◽  
Level Of Education ◽  
Bloom’S Taxonomy

This study is aimed at (1) analyzing reading exercises based Bloom’s taxonomy for VIII grade in English on Sky textbook. (2) Found the distribution of the lower and higher order thinking skill in reading exercises. (3) To reason for level reading exercises. After analyzed the data, the result of the data analysis also infers that the six levels of Bloom’s taxonomy in reading exercises weren’t applied totally. The creating skill doesn’t have distribution in reading exercise, and the understanding – remembering level more dominant than another levels. The distribution of the higher order thinking level was lower than the lower order thinking level and the six levels are not appropriate with the proportion for each level of education based Bloom’s taxonomy, such as the distribution of the creating level in the reading exercise must be a concern because no question that belong to the creating level. It was concluded that reading exercises in English on Sky textbook cannot improve students' critical thinking skills for VIII grade.

Strawberry Cultivar Performance and Susceptibility to Tarnished Plant Bug Injury

HortScience ◽  
1998 ◽  
Vol 33 (3) ◽  
pp. 460d-460
Author(s):  
D.T. Handley ◽  
M.A. Schupp ◽  
J.F. Dill
Keyword(s):  
Lower Order ◽  
Tarnished Plant Bug ◽  
Strawberry Cultivar ◽  
Marketable Fruit ◽  
Feeding Pressure ◽  
High Yields ◽  
Insecticide Sprays ◽  
Strawberry Cultivars

Twelve strawberry cultivars established in matted row plots in 1993 were treated with insecticides for tarnished plant bug or left untreated for the 1994, 1995, and 1996 seasons. `Honeoye', `Cavendish', and `Oka' had the highest yields of marketable fruit. `Jewel', `Chambly', and `Kent' had lower, but acceptable, yields. `Lateglow', `Blomidon', `Seneca, NY1424', `Settler', and `Governor Simcoe' had lower yields than other varieties. Tarnished plant bug populations were very low during the 1994 and 1996 seasons, and thus feeding pressure may have been too low for any differences in susceptibility between varieties to be expressed. In 1995, when tarnished plant bug feeding pressure was greatest, `Oka', `Cavendish', and `Honeoye' had the lowest injury levels. `Kent' and `Lateglow' had the highest levels of injury. Insecticide sprays significantly reduced the percent of injured fruit for most cultivars, but did not significantly increase the weight of marketable fruit harvested. This is due to injury being most prevalent on lower order, and thus smaller, fruit. Cultivars that produced high yields, had low injury levels, and had the least difference between sprayed and unsprayed treatments are most likely to have resistance to tarnished plant bug injury. `Oka', `Cavendish', and `Honeoye' were the most promising cultivars in this regard.

Factors associated with complications in higher order compared to lower order repeat

2016 ◽  
Vol 1 (1) ◽  
pp. 32-39
Author(s):  
Tahira Akhtar ◽  
◽  
Aahsann Kazemi ◽  
Keyword(s):  
Lower Order ◽  
Higher Order ◽  
Factors Associated
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