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1
Boundary Value Problems: And Partial Differential Equations
Most important is that a sectionally continuous function must not “blow up” at any
point— even an endpoint— of an interval. Note also that a function need not be
defined at every point in order to qualify as sectionally continuous. No value was
...
2
Applied Partial Differential Equations
Obviously every continuous function is sectionally continuous. The functions in
Examples 2.1.1 and 2.1.2 are examples of functions that are sectionally
continuous but not continuous. The function f(x) = x~i is an example of a function
that is not ...
Paul DuChateau, David Zachmann, 2012
3
Three-Dimensional Flows
Metzger and Morales in [156] introduced the notion of sectionally expanding set
in a manifold of arbitrary finite dimension. This notion encompasses that of
singularhyperbolic sets in 3-manifolds as a particular case. We say that a
compact ...
Vítor Araújo, Maria José Pacifico, Marcelo Viana, 2010
4
Homeomorphisms in Analysis
For n>2, if A is a
sectionally 0-dimensional set contained in the interior of I = Xi=i[
ai,6i] and if B is the image of fA[A] under an affine embedding <p of [0, 1] into the
interior of I, then there exists a homeomorphism H of I onto itself so that H\A ...
Casper Goffman, Togo Nishiura, Daniel Waterman, 1997
5
Some Basic Problems of the Mathematical Theory of Elasticity
In such cases the function F(z) will be said to be sectionally holomorphic
everywhere, except at the points zv z2, In particular, functions will often be
considered which are sectionally holomorphic everywhere, except at the point at
infinity, where ...
N.I. Muskhelishvili, 1977
6
Econometric Theory and Practice: Frontiers of Analysis and ...
Combination. Unit. Root. Tests. for. Cross-Sectionally. Correlated. Panels*. In.
Choi. 12.1 INTRODUCTION There have been several approaches to testing for a
unit root in panel data. These include Quah (1994); Levin and Lin (1992);1 Im, ...
P. C. B. Phillips, Dean Corbae, Steven N. Durlauf, 2006
7
The Congruences of a Finite Lattice: A Proof-by-Picture Approach
Regular lattices Sectionally complemented lattices are regular, so we already
have a congruence-preserving extension theorem for regular lattices in Chapter
12. We would like to point out that Theorem 14.1 contains this result. Lemma
14.12.
8
Lattice Theory: Foundation: Foundation
We illustrate the use of compatible vectors with two results on sectionally
complemented chopped lattices. The first result is from G. Grätzer and E.T.
Schmidt [345]. Lemma 314 (Atom Lemma). Let M be a chopped lattice with
exactly two ...
9
New Trends in Mathematical Physics: Selected contributions ...
cies are not sectionally dissipative/expansive. For simplicity, we explain this point
in dimension three. Consider a saddle P of a diffeomorphism f (assume that f(P) =
P). This saddle P is sectionally dissipative (resp. expansive) if the modulus of ...
Vladas Sidoravicius, 2009
10
Theoretical Elasticity
A function <t>(z), continuous in some neighbourhood of a sectionally smooth
curve L and continuous on L from the left and right, including the ends, is said to
be sectionally continuous in the neighbourhood of L, including its ends.
A. E. Green, Wolfgang Zerna, 2002
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Lopsided Appointments: Halt This Insensitivity, South-east Urges …
... noted that the principle of federal character as espoused in the nation's constitution was expressly aimed at avoiding such sectionally skewed appointments. «THISDAY Live, 七月 15»
In The Year 2020: DIS Magazine Predicts The Future For e-flux's …
“Culture finally liberates itself from its tendency to resort to modernist categorization, and operates cross-sectionally and globally between communities (virtual ... «ARTnews, 六月 15»
A process to help doctors screen for poverty issues could make …
“It's important to understand poverty is an issue for all of us and we need to work cross-sectionally,” he says. “Across the country in all communities there is an ... «Kawartha Media Group, 四月 15»
Motor neuron disease Can gluten sensitivity mimic amyotrophic …
“This led us to examine whether these cases are pure chance associations, so we examined our ALS clinic population cross-sectionally for gluten-sensitivity ... «Nature.com, 四月 15»
High levels of vitamin K may decrease risk for metabolic syndrome
Data were analyzed both cross sectionally and longitudinally with Poisson and linear regression adjusted for multiple confounders. A validated food frequency ... «Healio, 四月 15»
Sputum eosinophils, %*
Both cohorts were evaluated cross-sectionally. Sputum was induced for the assessment of eosinophils. In parallel, blood eosinophil counts, serum periostin ... «Medscape, 四月 15»
Better Sleep Could Help Those Overwhelmed By Negative Thoughts
Their work revealed that “shorter sleep duration was cross-sectionally associated with more rumination and delayed sleep timing was associated with more ... «RedOrbit, 十二月 14»
UA Researcher Finds Links among Depression, Sleep Problems …
“Cross-sectionally, we see an association with depression and pain and OA, and, when someone has sleep disturbances, they're at high risk of depression.”. «UA News, 十月 14»
Art review: Strong group effort at Yocum Gallery exudes wit
The show runs through Oct. 17 and presents the work of 10 artists who have made sectionally composed artworks, like tiles, or arranged side by side in diptychs ... «Reading Eagle, 十月 14»
Amfil Tech Signs mPact-GROzone JVA; Shipping First Unit to …
... beverage industries with successfully installed and performing units cross - sectionally in the Food/Beverage and Fresh Produce Industries, e.g. Sysco Foods, ... «Business Wire, 五月 14»
