Results 51 to 60 of about 4,006,009 (283)
On the Continuity of Parametric Linear Operations [PDF]
6. M. S. Knebelman, Collineations and motions in generalized spaces, Amer. J. Math. vol. 51 (1928) pp. 527-564. 7. D. D. Kosambi, Collineations in path-space, J. Indian Math. Soc. N.S. vol. 1 (1934) pp. 69-72. 8. Jack Levine, Classification of collineations in projectively and affinely connected spaces of two dimensions, Ann. of Math. vol. 52 (1950) pp.
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Animals must match their growth rate to available nutrients. We show that in Drosophila larvae, the nutrient‐sensing TOR kinase controls growth by regulating levels of TFAM, a key regulator of mitochondrial function, in the adipose tissue. When nutrients are abundant, high TOR activity suppresses TFAM, lowering mitochondrial bioenergetic activity and ...
Shrivani Sriskanthadevan‐Pirahas +4 more
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This paper introduces the concept of Kato chaos to linear dynamics and its induced dynamics. This paper investigates some properties of Kato chaos for a continuous linear operator T and its induced operators T¯.
Lixin Jiao, Lidong Wang, Heyong Wang
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
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TWO-DIMENSIONAL INVERSE SCATTERING FOR QUASI-LINEAR BIHARMONIC OPERATOR [PDF]
The subject of this work concerns the classical direct and inverse scattering problems for quasi-linear perturbations of the two-dimensional biharmonic operator.
Kultima, Jaakko +7 more
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Emerging experimental and computational methods for studying redox‐regulated structural transitions
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
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Some special characterisations of Fredholm operators in Banach space
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
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OPERATOR LINEAR TAK TERBATAS PADA RUANG HILBERT [PDF]
Dalam skripsi ini dibahas definisi dan karakteristik operator linear tak terbatas pada ruang Hilbert. Pendefinisian dan pembahasan karakteristik didasari pembahasan mengenai pemetaan liniear kontinu.
Basir, Syaiun
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Continuity of linear operators commuting with continuous linear operators [PDF]
1. Introduction. In [6] and [8] we showed that centralisers (that is operators commuting with multiplication) on certain Banach algebras are necessarily continuous. In the present paper we consider whether an operator on a Banach space commuting with a continuous or a closed operator must itself be continuous.
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Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
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