Bounded functional calculi for unbounded operators by Batty, C, Gomilko, A, Tomilov, Y

“…They extend the Hille–Phillips calculus for (negative) generators A of certain bounded C0-semigroups, in particular for bounded semigroups on Hilbert spaces and bounded holomorphic semigroups on Banach spaces. …”

High-intensity two-frequency photoassociation spectroscopy of a weakly bound molecular state : theory and experiment by Kon, W. Y., Aman, J. A., Hill, J. C., Killian, T. C., Hazzard, Kaden R. A.

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On Generalization Bounds for Neural Networks with Low Rank Layers by Pinto, Andrea, Rangamani, Akshay, Poggio, Tomaso

“…We compare our results to prior generalization bounds for deep networks, highlighting how deep networks with low-rank layers can achieve better generalization than those with full-rank layers. …”
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Structural characterization of the full-length Hantaan virus polymerase by Keown, JR, Carrique, L, Nilsson-Payant, BE, Fodor, E, Grimes, JM

“…We determine a series of structures at resolutions between 2.7 and 3.3 Å of RNA free polymerase comprising the core, core and endonuclease, and a full-length polymerase. The full-length polymerase structure depicts the location of the cap binding and C-terminal domains which are arranged in a conformation that is incompatible with transcription and in a novel conformation not observed in previous conformations of cap-snatching viral polymerases. …”

Evaluation of keratin templates on dermal regeneration of full-thickness burns by Moay, Zi Kuang

“…Full-thickness burns presents themselves as damages to both epidermis and dermis, and may affect the subcutaneous tissue, muscular, neurovascular, and skeletal structures. …”
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Structural and functional characterisation of the collagen binding domain of fibronectin by Millard, CJ

“…However, the presence of at least a single GlcNAc sugar residue on the second sugar chain site on 8Fn1 (N- linked to N511) is essential for full affinity binding to collagen. Direct binding of the 8Fn1-9Fn1 module pair to collagen is assessed with a short collagen peptide and the binding is monitored by NMR. …”

Structural basis of RNA binding by leucine zipper GCN4 by Nikolaev, Yaroslav, Pervushin, Konstantin

“…Further studies in the context of full-length bZIP factors are envisaged to address the biological relevance of LZ RNase activity.…”
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FullCert: deterministic end-to-end certification for training and inference of neural networks by Lorenz, T, Kwiatkowska, M, Fritz, M

“…In this work, we present FullCert, the first end-to-end certifier with sound, deterministic bounds, which proves robustness against both training-time and inference-time attacks. …”

Lenzen’s Distributed Routing Generalized: A Full Characterization of Constant-Time Routability by Ghaffari, Mohsen, Wang, Brandon

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Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra by Nguyen, Quynh T., Kiani, Bobak T., Lloyd, Seth

“…When applied to many physical kernel matrices, our method can improve the runtime of solving quantum linear systems of dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>&amp;#x03BA;</mml:mi><mml:mi>polylog</mml:mi><mml:mo>&amp;#x2061;</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mfrac><mml:mi>N</mml:mi><mml:mi>&amp;#x03B5;</mml:mi></mml:mfrac><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>, where <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&amp;#x03BA;</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&amp;#x03B5;</mml:mi></mml:math> are the condition number and error bound of the matrix operation. This runtime is near-optimal and, in terms of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>, exponentially improves over prior quantum linear systems algorithms in the case of dense and full-rank kernel matrices. …”
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Alternative splicing in the DBD linker region of p63 modulates binding to DNA and iASPP in vitro by Lotz, R, Osterburg, C, Chaikuad, A, Weber, S, Akutsu, M, Machel, AC, Beyer, U, Gebel, J, Löhr, F, Knapp, S, Dobbelstein, M, Lu, X, Dötsch, V

“…Here we characterize the interaction of iASPP with p63 and show that it binds to the linker region between the DNA binding domain and the oligomerization domain. …”

Regulation of mRNA abundance by polypyrimidine tract-binding protein-controlled alternate 5′ splice site choice by Hamid, Fursham M., Makeyev, Eugene V.

“…Here we report that polypyrimidine tract-binding protein 1 (Ptbp1/PTB/hnRNP-I) controls alternate 5′ and 3′ splice site (5′ss and 3′ss) usage in a large set of mammalian transcripts. …”
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The SARS-CoV-2 nucleocapsid protein interferes with the full enzymatic activation of UPF1 and its interaction with UPF2 by Nuccetelli, V, Mghezzi-Habellah, M, Deymier, S, Roisin, A, Gérard-Baraggia, F, Rocchi, C, Coureux, P, Gouet, P, Cimarelli, A, Mocquet, V, Fiorini, F

Tracking of a moving ground target by a quadrotor using a backstepping approach based on a full state cascaded dynamics by Tan, Chun Kiat, Wang, Jianliang, Paw, Yew Chai, Ng, Teng Yong

“…The approach proposed in this paper uses a re-formulated full state cascaded dynamics to eliminate the need for inverse kinematics in a full state backstepping control architecture. …”
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16.31 Feedback Control Systems, Fall 2007 by How, Jonathan P.

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Structural study of plant cellulose synthase and atypical profilin3 by Qiao, Zhu

“…A low-resolution model of oligomeric full-length cellulose synthase was also obtained by Cryo-EM. …”
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Unconventional split aptamers cleaved at functionally essential sites preserve biorecognition capability by Wang, Ruoyu, Zhang, Qiansen, Zhang, Yi, Shi, Hanchang, Nguyen, Kim Truc, Zhou, Xiaohong

“…An allosteric binding mechanism of BPSPAs, in which a new binding pocket is formed upon the target binding, is revealed by all-atom microsecond-scale molecular dynamics simulations. …”
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Part I Targeting RNA duplexes with modified triplex-forming oligonucleotides Part II Allostery within a Watson-Crick RNA duplex and its application in studying RNA recognition by R... by Zhou, Yuan

“…Binding of full-length RIG-I and a triplex-forming oligonucleotide (TFO) also induces 2AP fluorescence enhancement. …”
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Toward Simulation-Free Estimation of Critical Clearing Time by Vu, Thanh Long, Al Araifi, Surour M., El Moursi, Mohamed S., Turitsyn, Konstantin

“…However, these methods, as well as other existing methods, still rely on time-consuming numerical integration of the fault-on dynamics. …”
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Macrobrachium rosenbergii De Man nodavirus recombinant capsid protein production and its interactions with RNA by Goh, Zee Hong

“…In 2012 the major farming areas in Malaysia were found to be infected by MrNv but till now information on the Malaysian isolate MrNv is still unavailable in the NCBI database and studies of this newly emerged member of the Nodaviridae family were not in depth. …”
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