scholarly journals A Complete Characterisation of Vertex-multiplications of Trees with Diameter 5

2021 ◽  
Vol 8 (2) ◽  
pp. 1-9
Author(s):  
Willie Han Wah Wong ◽  
◽  
Eng Guan Tay ◽  
Keyword(s):  
Complete Characterisation

scholarly journals Some results on isometric composition operators on Lipschitz spaces

2021 ◽  
Author(s):  
Abraham Rueda Zoca
Keyword(s):  
Convex Hull ◽  
Composition Operator ◽  
Metric Spaces ◽  
Composition Operators ◽  
Extreme Points ◽  
Necessary Condition ◽  
Closed Convex Hull ◽  
Lipschitz Spaces ◽  
Complete Characterisation

AbstractGiven two metric spaces M and N we study, motivated by a question of N. Weaver, conditions under which a composition operator $$C_\phi :{\mathrm {Lip}}_0(M)\longrightarrow {\mathrm {Lip}}_0(N)$$ C ϕ : Lip 0 ( M ) ⟶ Lip 0 ( N ) is an isometry depending on the properties of $$\phi $$ ϕ . We obtain a complete characterisation of those operators $$C_\phi $$ C ϕ in terms of a property of the function $$\phi $$ ϕ in the case that $$B_{{\mathcal {F}}(M)}$$ B F ( M ) is the closed convex hull of its preserved extreme points. Also, we obtain necessary condition for $$C_\phi $$ C ϕ being an isometry in the case that M is geodesic.

scholarly journals Invariant convolution algebras

1973 ◽  
Vol 18 (4) ◽  
pp. 299-306 ◽  
Author(s):  
J. W. Baker
Keyword(s):  
Inverse Semigroup ◽  
Topological Structure ◽  
Measure Algebra ◽  
Identical Structure ◽  
Convolution Algebras ◽  
Algebraic Properties ◽  
Totally Disconnected ◽  
Complete Characterisation ◽  
The Way

Let A be a commutative, semi-simple, convolution measure algebra in the sense of Taylor (6), and let S denote its structure semigroup. In (2) we initiated a study of some of the relationships between the topological structure of A^ (the spectrum of A), the algebraic properties of S, and the way that A lies in M(S). In particular, we asked when it is true that A is invariant in M(S) or an ideal of M(S) and also whether it is possible to characterise those measures on S which are elements of A. It appeared from (2) that if A is invariant in M(S) then S must be a union of groups and that A^ must be a space which is in some sense “ very disconnected ”. In (3) we showed that if A^ is discrete then A is “ approximately ” an ideal of M(S). (What is meant by “ approximately ” is explained in (3); it is the best one can expect since algebras which are approximately equal have identical structure semigroups and spectra.) In this paper we round off some of the results of (2) and (3). We show that if A is invariant in M(S) then A^ is totally disconnected, and that if A^ is totally disconnected then S is an inverse semigroup (union of groups). From these two crucial facts it is fairly straight-forward to obtain a complete characterisation of algebras A (and their structure semigroups) for which (i) A^ is totally disconnected, (ii) A is invariant in M(S), or (iii) A is an ideal of M(S).

scholarly journals Canonical point mappings in

1997 ◽  
Vol 56 (2) ◽  
pp. 239-242 ◽  
Author(s):  
Zayid Abdulhadi ◽  
Walter Hengartner
Keyword(s):  
Complete Characterisation

We give a complete characterisation of univalent logharmonic mappings from the domain D of such that has countable many components onto where pj is a singleton in C.

Flow Cytometry Primary 10 Colours Panel for Chronic Lympho Proliferative Diseases Diagnosis

Blood ◽  
2011 ◽  
Vol 118 (21) ◽  
pp. 5190-5190
Author(s):  
Jonathan Brauner ◽  
Ingrid Beukinga ◽  
Zoulikha Amraoui ◽  
Zaina Kassengera ◽  
Michel Toungouz ◽  
...  
Keyword(s):  
Bone Marrow ◽  
Flow Cytometry ◽  
T Cells ◽  
T Cell ◽  
B Cells ◽  
B Lymphocytes ◽  
Plasma Cells ◽  
Cell Lymphoma ◽  
Cd10 Expression ◽  
Complete Characterisation

Abstract Abstract 5190 Objectives: Definition of the primary antibodies panel for 10 colours flow cytometry able to describe normal and clonal T, B lymphocytes and plamocytes in blood and bone marrow. Once clonalities are detected, the complete characterisation of Chronic Lymphoproliferative Diseases (CLPD) is supported by secondary panels chosen based on the results of CD5/CD10 expression for clonal B lymphocytes, CD27/CD38 for plasmatocytes and CD3/CD27 for clonal T cells. Materials and Methods: Blood and bone marrow of patients (N=50) with CLPD (mainly B-CLL). Samples are enumerated by haematology analyzer DxH 800 then 106 cells are washed three times, stained with the antibodies combination and red blood cells lysed with Versalyse (TM. Beckman Coulter). The samples were analysed on a 10 colours Navios flow cytometer (Beckman Coulter Fullerton, CA). The staining panel consists of 14 antibodies (CD45, CD8, CD4, CD5, CD3, CD19, CD38, λ, κ, CD23, CD5, CD10, CD14, CD27) conjugated with 10 different fluorochromes. The fixed gating strategy allows linking Navios analysis software to the middleware Remisol which drives the choice of the secondary panel. In some cases a third tube is performed for Ki67 or Zap-70 intra-cytoplasmic staining. Results: Monocytes are removed on the basis of their CD14/CD4 expression. B lymphocytes are CD19 positive. Normal naïve/memory B cells, hematogones and plasma cells are defined by their CD27, CD10 and CD38 expression. Eventual monoclonality is sought by analysis of the distribution of Kappa and Lambda light chains. A first classification of B cell lymphoma is achieved with the CD5 and CD10 expression of the clone (CD5+/CD10−: B-CLL MCL and few MZL, CD5−/CD10−: MZL and related, CD5−/CD10+ DLBCL and FL). Analysis of CD27, CD20 and CD23 expression allows discriminating between CD5+/CD10- lymphomas. All the 50 samples were correctly detected as CLPD and the automated Remisol choice of the second panel fit to the final diagnosis of all the cases of this small series. T lymphocytes are defined by their CD3 and CD5 expression. The analysis of CD4/CD8 balance and CD27/CD5 distribution are first line test when T cell clonality is suspected. There is a special gating to detect CD3-CD4+ T cell lymphoma and double negativity of CD4 and CD8 is a surrogate marker for gamma/delta T cells. NK cells are mentioned as not-T not-B lymphocytes, without specific staining. Conclusion/Discussion:This 10 colours 14 antibodies panel allows describing in one tube normal T and B cells, hematogones, memory and naives B cells plasma cells and detects T and B clonalities. This panel follows a similar logic than the Euroflow LST tube but with 10 colours and with Beckman Coulter's technology and antibodies. Moreover, this combination helps discriminating rapidly the CD5+/CD10- lymphomas while the complete characterisation of CD5 negative lymphomas only require less than 6 antibodies second tube. This is a paperless (all the process is driven and controlled by Remisol), fast and inexpensive diagnostic approach (always less than 20 antibodies required). Disclosures: Pradier: Beckman Coulter: Consultancy, Membership on an entity's Board of Directors or advisory committees.

An Alternative Method for the Characterisation of Fibrous Materials from Measurements of Absorption Using Techniques Based on the Allard and Champoux Model

2000 ◽  
Vol 31 (8) ◽  
pp. 19-25
Author(s):  
Jesús Alba ◽  
Jaime Ramis
Keyword(s):  
Fibrous Material ◽  
Flow Resistance ◽  
Fibrous Materials ◽  
Specific Flow ◽  
Alternative Method ◽  
Starting Point ◽  
Complete Characterisation ◽  
Absorption Measurements

In this work we present a method for characterising fibrous materials from absorption measurements in the Kundt tube. Specific Flow Resistance may be calculated, using techniques based on the Allard & Champoux model. Using this model and taking measurements of absorption as a starting point, the method presented here enables one to achieve a complete characterisation of a fibrous material.

scholarly journals Quality assurance of the international computerised 24 h dietary recall method (EPIC-Soft)

2013 ◽  
Vol 111 (3) ◽  
pp. 506-515 ◽  
Author(s):  
Sandra P. Crispim ◽  
Genevieve Nicolas ◽  
Corinne Casagrande ◽  
Viktoria Knaze ◽  
Anne-Kathrin Illner ◽  
...  
Keyword(s):  
Soft Error ◽  
Missing Information ◽  
Cognitive Approach ◽  
Dietary Recall ◽  
Quality Controls ◽  
System Calculation ◽  
Dietary Data ◽  
Complete Characterisation ◽  
Probing Questions

The interview-administered 24 h dietary recall (24-HDR) EPIC-Soft®has a series of controls to guarantee the quality of dietary data across countries. These comprise all steps that are part of fieldwork preparation, data collection and data management; however, a complete characterisation of these quality controls is still lacking. The present paper describes in detail the quality controls applied in EPIC-Soft, which are, to a large extent, built on the basis of the EPIC-Soft error model and are present in three phases: (1) before, (2) during and (3) after the 24-HDR interviews. Quality controls for consistency and harmonisation are implemented before the interviews while preparing the seventy databases constituting an EPIC-Soft version (e.g. pre-defined and coded foods and recipes). During the interviews, EPIC-Soft uses a cognitive approach by helping the respondent to recall the dietary intake information in a stepwise manner and includes controls for consistency (e.g. probing questions) as well as for completeness of the collected data (e.g. system calculation for some unknown amounts). After the interviews, a series of controls can be applied by dietitians and data managers to further guarantee data quality. For example, the interview-specific ‘note files’ that were created to track any problems or missing information during the interviews can be checked to clarify the information initially provided. Overall, the quality controls employed in the EPIC-Soft methodology are not always perceivable, but prove to be of assistance for its overall standardisation and possibly for the accuracy of the collected data.

Neutral N-glycans in adult rat brain tissue. Complete characterisation reveals fucosylated hybrid and complex structures

1998 ◽  
Vol 251 (3) ◽  
pp. 691-703 ◽  
Author(s):  
Yi-Ju Chen ◽  
David R. Wing ◽  
Geoffrey R. Guile ◽  
Raymond A. Dwek ◽  
David J. Harvey ◽  
...  
Keyword(s):  
Rat Brain ◽  
Brain Tissue ◽  
Complex Structures ◽  
Adult Rat ◽  
Adult Rat Brain ◽  
Rat Brain Tissue ◽  
Complete Characterisation

scholarly journals The Minimum Number of Monotone Subsequences

10.37236/1676 ◽  
2002 ◽  
Vol 9 (2) ◽  
Author(s):  
Joseph Samuel Myers
Keyword(s):  
Additional Constraint ◽  
Catalan Number ◽  
Monotone Subsequence ◽  
Minimum Number ◽  
Complete Characterisation

Erdős and Szekeres showed that any permutation of length $n \geq k^2+1$ contains a monotone subsequence of length $k+1$. A simple example shows that there need be no more than $(n \bmod k){{\lceil n/k \rceil}\choose {k+1}} + (k - (n \bmod k)){{\lfloor n/k \rfloor}\choose {k+1}}$ such subsequences; we conjecture that this is the minimum number of such subsequences. We prove this for $k=2$, with a complete characterisation of the extremal permutations. For $k > 2$ and $n \geq k(2k-1)$, we characterise the permutations containing the minimum number of monotone subsequences of length $k+1$ subject to the additional constraint that all such subsequences go in the same direction (all ascending or all descending); we show that there are $2 {{k}\choose {n \bmod k}} C_k^{2k-2}$ such extremal permutations, where $C_k = {{1}\over {k+1}}{{2k}\choose {k}}$ is the $k^{{\rm th}}$ Catalan number. We conjecture, with some supporting computational evidence, that permutations with a minimum number of monotone $(k+1)$-subsequences must have all such subsequences in the same direction if $n \geq k(2k-1)$, except for the case of $k = 3$ and $n = 16$.

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