scholarly journals Generalized roundness and negative type.

1997 ◽  
Vol 44 (1) ◽  
pp. 37-45 ◽  
Author(s):  
C. J. Lennard ◽  
A. M. Tonge ◽  
A. Weston
Keyword(s):  
Negative Type ◽  
Generalized Roundness

scholarly journals ROUNDNESS PROPERTIES OF ULTRAMETRIC SPACES

2013 ◽  
Vol 56 (3) ◽  
pp. 519-535 ◽  
Author(s):  
TIMOTHY FAVER ◽  
KATELYNN KOCHALSKI ◽  
MATHAV KISHORE MURUGAN ◽  
HEIDI VERHEGGEN ◽  
ELIZABETH WESSON ◽  
...  
Keyword(s):  
Euclidean Space ◽  
Metric Space ◽  
Metric Spaces ◽  
Independent Set ◽  
Ultrametric Space ◽  
Ultrametric Spaces ◽  
Negative Type ◽  
Finite Metric Space ◽  
Finite Metric Spaces ◽  
Generalized Roundness

AbstractMotivated by a classical theorem of Schoenberg, we prove that an n + 1 point finite metric space has strict 2-negative type if and only if it can be isometrically embedded in the Euclidean space $\mathbb{R}^{n}$ of dimension n but it cannot be isometrically embedded in any Euclidean space $\mathbb{R}^{r}$ of dimension r < n. We use this result as a technical tool to study ‘roundness’ properties of additive metrics with a particular focus on ultrametrics and leaf metrics. The following conditions are shown to be equivalent for a metric space (X,d): (1) X is ultrametric, (2) X has infinite roundness, (3) X has infinite generalized roundness, (4) X has strict p-negative type for all p ≥ 0 and (5) X admits no p-polygonal equality for any p ≥ 0. As all ultrametric spaces have strict 2-negative type by (4) we thus obtain a short new proof of Lemin's theorem: Every finite ultrametric space is isometrically embeddable into some Euclidean space as an affinely independent set. Motivated by a question of Lemin, Shkarin introduced the class $\mathcal{M}$ of all finite metric spaces that may be isometrically embedded into ℓ2 as an affinely independent set. The results of this paper show that Shkarin's class $\mathcal{M}$ consists of all finite metric spaces of strict 2-negative type. We also note that it is possible to construct an additive metric space whose generalized roundness is exactly ℘ for each ℘ ∈ [1, ∞].

A Korean Patient With Fulminant Autoantibody-Negative Type 1 Diabetes

Diabetes Care ◽  
2004 ◽  
Vol 27 (12) ◽  
pp. 3023-3024 ◽  
Author(s):  
T. S. Jung ◽  
S. I. Chung ◽  
M. A. Kim ◽  
S. J. Kim ◽  
M. H. Park ◽  
...  
Keyword(s):  
Type 1 Diabetes ◽  
Korean Patient ◽  
Negative Type

scholarly journals Negative-type Chemically Amplified Photosensitive Novolac

2008 ◽  
Vol 21 (1) ◽  
pp. 161-164 ◽  
Author(s):  
Yuta Saito ◽  
katsuhisa Mizoguchi ◽  
Mitsuru Ueda
Keyword(s):  
Negative Type ◽  
Chemically Amplified

scholarly journals A frequent tyrosinase gene mutation in classic, tyrosinase-negative (type IA) oculocutaneous albinism.

1990 ◽  
Vol 87 (9) ◽  
pp. 3255-3258 ◽  
Author(s):  
L. B. Giebel ◽  
K. M. Strunk ◽  
R. A. King ◽  
J. M. Hanifin ◽  
R. A. Spritz
Keyword(s):  
Gene Mutation ◽  
Oculocutaneous Albinism ◽  
Negative Type ◽  
Tyrosinase Gene ◽  
Type Ia

Serum and histological IgG4-negative type 1 autoimmune pancreatitis

2018 ◽  
Vol 12 (3) ◽  
pp. 232-238 ◽  
Author(s):  
Yuichi Takano ◽  
Takahiro Kobayashi ◽  
Fumitaka Niiya ◽  
Eiichi Yamamura ◽  
Naotaka Maruoka ◽  
...  
Keyword(s):  
Autoimmune Pancreatitis ◽  
Negative Type ◽  
Type 1 Autoimmune Pancreatitis

scholarly journals Blood typing in positive DEA 1 dogs

2020 ◽  
Vol 57 (1) ◽  
pp. e151444
Author(s):  
Suzana Claudia Spinola Santos ◽  
Mariane Melo Santos ◽  
Wellington Francisco Rodrigues ◽  
Roberto Meyer ◽  
Maria de Fátima Dias Costa
Keyword(s):  
Flow Cytometry ◽  
Autosomal Dominant ◽  
Blood Typing ◽  
Negative Type ◽  
Through Flow

Blood typing techniques have been improved to ensure greater safety for transfusion procedures. Typification for the DEA 1 antigen through flow cytometry should offer more reliability to routine immunohematology in donor and recipient dogs. Currently, the DEA 1 group is starting to be an autosomal dominant allelic system with the DEA 1 negative type and its variations of positivity. The present study investigated the DEA 1 antigen using the techniques of immunochromatography, hemagglutination and flow cytometry. Among the positive animals for the DEA 1 group, typified by flow cytometry, medium intensities of fluorescence were found, which are indicative of weak, moderate and strong antigenicity. This enabled the division of the DEA 1 group into weak positive, moderate positive and strong positive. The blood typing techniques for the DEA 1 group by flow cytometry, agglutination and immunochromatography had positive (Spearman r=0.70) and statistically significant (p>0.0001) correlations.

Sign in / Sign up

Export Citation Format

Share Document