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Families of functions and functions of proof

International Journal of Mathematical Education in Science and Technology, 2002
This article describes an activity for secondary school students that may constitute an appropriate opportunity to discuss with them the idea of proof, particularly in an algebraic context. During the activity the students may experience and understand some of the roles played by proof in mathematics in addition to verification of truth: explanation ...
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On a family of starlike functions

1972
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 175-181 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 175-181 ; streszcz. pol., ros.
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Functional Families: Functional Teams

Australian and New Zealand Journal of Family Therapy, 2006
This article highlights the negative effects on professionals who regularly work with very abusive families and seeks to identify what protective factors in the work team and its management mitigate these effects. I compare the behavioural consequences of living in a dysfunctional family with the consequences of working in a dysfunctional team. My hope
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Families of Functions

1992
Some subsequence {f nk }k∈N converges uniformly on compact subsets of Ω. Thus each of the sequences \(S_p \mathop = \limits^{{\text{def}}} \left\{ {f_{n_k }^{2^p } } \right\}_{k \in {\text{N}}} {\text{,}}\,p \in \mathbb{Z}^ + \) converges on compact subsets of Ω. Furthermore, S p+1 ⊂ S p . The diagonal sequence \(S\mathop = \limits^{{\text{def}}} \left\
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On Functions Representable as a Supremum of a Family of Smooth Functions

SIAM Journal on Mathematical Analysis, 1983
[Part I: SIAM J. Math. Anal. 14, 239-246 (1983; Zbl 0524.26010).] Let \(S^ q_ m(D)\) denote the set of functions representable as \(f(x)=\max_{t\in T^ m}h(x,t),\) where \(T^ m\) is a compact m- dimensional smooth manifold and \(h: D\times T^ m\to R\) is a q-times continuously differentiable function, with \(q\geq 2.\) The paper deals with the question ...
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Families, functioning and therapies

International Review of Psychiatry, 2012
BHUGRA D, FIORILLO, Andrea
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Indexed families of functionals, and Gaussian radial basis functions

The 2002 45th Midwest Symposium on Circuits and Systems, 2002. MWSCAS-2002., 2003
We report on results concerning the capabilities of gaussian radial basis function networks in the setting of inner product spaces that need not be finite dimensional. Specifically, we show that important indexed families of functionals can be uniformly approximated, with the approximation uniform also with respect to the index.
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The Versatile Gasdermin Family: Their Function and Roles in Diseases

Frontiers in Immunology, 2021
, Ruochan Chen, Daolin Tang
exaly  

The Univalent Functions of a Family

Journal of the London Mathematical Society, 1960
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