DIFFERENTIAL FORMS ON DIFFERENTIAL SPACES
Die Autoren definieren die wesentlichen Begriffe, um eine Analysis auf Differentialräumen \((M,C)\) zu konstruieren: \(k\)-Vektoren, Differentialformen, äußere Ableitung und Integration. Dabei gehen sie nicht vom üblichen Begriff des Tangentialvektors als Derivation auf \(C\) aus, sondern definieren ``glatte Halbkurven'' als glatte Abbildungen \([0,1[ \
Mąka, R., Urbański, P.
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Differentiable projections and differentiable semigroups [PDF]
Suppose X is a Banach space, G is a connected open subset of X, and p is a continuously Fr6chet differentiable function from G into G satisfying p(p(x))=p(x) for each x in G. We prove that p(G) is a differentiable submanifold of X and use this result to show that the maximal subgroup containing an idempotent in a differentiable semigroup is a Lie group.
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Optimisation of growth conditions for ovine airway epithelial cell differentiation at an air-liquid interface [PDF]
Respiratory tract infections are of significant concern in the agriculture industry. There is a requirement for the development of well-characterised in vitro epithelial cell culture models in order to dissect the diverse molecular interactions occurring
Berry, Catherine C. +3 more
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Hadamard differentiability via Gâteaux differentiability [PDF]
Let $X$ be a separable Banach space, $Y$ a Banach space and $f: X \to Y$ a mapping. We prove that there exists a $ $-directionally porous set $A\subset X$ such that if $x\in X \setminus A$, $f$ is Lipschitz at $x$, and $f$ is G teaux differentiable at $x$, then $f$ is Hadamard differentiable at $x$.
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Hepatocyte Differentiation [PDF]
Increasingly, research suggests that for certain systems, animal models are insufficient for human toxicology testing. The development of robust, in vitro models of human toxicity is required to decrease our dependence on potentially misleading in vivo animal studies.
Katy M, Olsavsky Goyak +2 more
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The C/EBPβ LIP isoform rescues loss of C/EBPβ function in the mouse
The transcription factor C/EBPβ regulates hematopoiesis, bone, liver, fat, and skin homeostasis, and female reproduction. C/EBPβ protein expression from its single transcript occurs by alternative in-frame translation initiation at consecutive start ...
Valérie Bégay +4 more
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NuMA regulates mitotic spindle assembly, structural dynamics and function via phase separation
Mitotic spindle assembly is required for proper cell division, but many underlying mechanisms remain unclear. Here, the authors show that NuMa undergoes liquid-liquid phase separation, condensing on spindle poles during mitotic entry and enriching ...
Mengjie Sun +7 more
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MicroRNAs regulate T-cell production of interleukin-9 and identify hypoxia-inducible factor-2a as an important regulator of T helper 9 and regularoty T-cell differentiation [PDF]
MicroRNAs (miRNAs) regulate many aspects of helper T cell (Th) development and function. Here we found that they are required for the suppression of interleukin‐9 (IL‐9) expression in Th9 cells and other Th subsets. Two highly related miRNAs (miR‐15b and
Baumjohann +37 more
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Species Differentiation Of Fish Samples By Restriction Fragment Length Polymorphism Analysis Of Cytochrome B Gene [PDF]
Metode pengukuran polimorfisme fragmen hasil pemotongan produkreaksi polimorfik berantai oleh enzim restriksi spesifik (polymerase chainreaction-restriction fragment length polymorphism, RFLP-PCR) telah digunakanuntuk membedakan beberapa jenis ikan ...
I, Z. M. (Zuraini) +3 more
core
Basic problems for the construction of a scenario for the Life are discussed. To study the problems in terms of dynamical systems theory, a scheme of intra-inter dynamics is presented.
Kaneko K. +7 more
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