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Journal articles on the topic 'Sequentially locally non-constant functions'

Author: Grafiati

Published: 3 June 2025

Last updated: 19 July 2025

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1

Chernov, Viktor. "Locally constant constructive functions and connectedness of intervals." Journal of Logic and Computation 30, no. 7 (2020): 1425–28. http://dx.doi.org/10.1093/logcom/exaa038.

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Abstract We prove that every locally constant constructive function on an interval is in fact a constant function. This answers a question formulated by Andrej Bauer [ 1]. As a related result, we show that an interval consisting of constructive real numbers is in fact connected but can be decomposed into the disjoint union of two sequentially closed nonempty sets.

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2

Kostic, Marko. "Abstract degenerate Volterra inclusions in locally convex spaces." Electronic Journal of Differential Equations 2023, no. 01-?? (2023): 63. http://dx.doi.org/10.58997/ejde.2023.63.

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In this paper, we analyze the abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces by using multivalued linear operators and vector-valued Laplace transform. We follow the method which is based on the use of (a, k)-regularized C-resolvent families generated by multivalued linear operators and which suggests a very general way of approaching abstract Volterra equations. Among many other themes, we consider the Hille-Yosida type theorems for \((a, k)\)-regularized C-resolvent families, differential and analytical properties of \((a, k)\)-regu

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3

Liao, Huanyu, Pavan Kumar Vaitheeswaran, Tao Song, and Ganesh Subbarayan. "Algebraic Point Projection for Immersed Boundary Analysis on Low Degree NURBS Curves and Surfaces." Algorithms 13, no. 4 (2020): 82. http://dx.doi.org/10.3390/a13040082.

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Point projection is an important geometric need when boundaries described by parametric curves and surfaces are immersed in domains. In problems where an immersed parametric boundary evolves with time as in solidification or fracture analysis, the projection from a point in the domain to the boundary is necessary to determine the interaction of the moving boundary with the underlying domain approximation. Furthermore, during analysis, since the driving force behind interface evolution depends on locally computed curvatures and normals, it is ideal if the parametric entity is not approximated a

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4

Al-Asmari, Najwa, Siraj Uddin, and Monia Naghi. "Sequential warped product submanifolds in locally product Riemannian manifolds." Filomat 37, no. 27 (2023): 9259–71. http://dx.doi.org/10.2298/fil2327259a.

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In this paper, wepresent sequential warped product submanifolds of locally product Riemannian manifolds and show that there exists a class of non-trivial sequential warped product submanifolds of a locally product Riemannian manifold of the form (M? ??1 M?)??2 MT by giving non-trivial examples. Also, we prove some useful results for such warped products and establish Chen?s inequality which represents a relationship between the squared norm of the second fundamental form for the warping functions ?1 and ?2. Further, some applications of our main result are given.

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5

Bozzetti, Cristina, and Costantino Medori. "Almost complex manifolds with non-degenerate torsion." International Journal of Geometric Methods in Modern Physics 14, no. 03 (2017): 1750033. http://dx.doi.org/10.1142/s0219887817500335.

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We show that almost complex manifolds [Formula: see text] of real dimension 4 for which the image of the Nijenhuis tensor forms a non-integrable bundle, called torsion bundle, admit a [Formula: see text]-structure locally, that is, a double absolute parallelism. In this way, the problem of equivalence for such almost complex manifolds can be solved; moreover, the classification of locally homogeneous manifold [Formula: see text] is explicitly given when the Lie algebra of its infinitesimal automorphisms is non-solvable (indeed reductive). It is also shown that the group of the automorphisms of

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6

Carmesin, Johannes. "A Characterization of the Locally Finite Networks Admitting Non-Constant Harmonic Functions of Finite Energy." Potential Analysis 37, no. 3 (2011): 229–45. http://dx.doi.org/10.1007/s11118-011-9254-9.

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7

Abdelbasit, K. M. "Experimental Design for Nonlinear Problems." Sultan Qaboos University Journal for Science [SQUJS] 12, no. 2 (2007): 211. http://dx.doi.org/10.24200/squjs.vol12iss2pp211-220.

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Experimental designs for nonlinear problems have to a large extent relied on optimality criteria originally proposed for linear models. Optimal designs obtained for nonlinear models are functions of the unknown model parameters. They cannot, therefore, be directly implemented without some knowledge of the very parameters whose estimation is sought. The natural way is to adopt a sequential or Bayesian approach. Another is to utilize available estimates or guesses. In this article we provide a brief historical account of the subject, discuss optimality criteria commonly used for nonlinear models

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8

Kawamura, Michihiko, and Shigeo Segawa. "P-harmonic dimensions on ends." Nagoya Mathematical Journal 132 (December 1993): 131–39. http://dx.doi.org/10.1017/s0027763000004670.

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Consider an end Ω in the sense of Heins (cf. Heins [3]): Ω is a relatively non-compact subregion of an open Riemann surface such that the relative boundary ∂Ω consists of finitely many analytic Jordan closed curves, there exist no non-constant bounded harmonic functions with vanishing boundary values on ∂Ω and Ω has a single ideal boundary component. A density P = P(z)dxdy (z = x + iy) is a 2-form on Ω∩∂Ω with nonnegative locally Holder continuous coefficient P(z).

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9

Kozhevnikova, L. M. "Existence of a Local Renormalized Solution of an Elliptic Equation with Variable Exponents in $\mathbb{R}^n$." Владикавказский математический журнал 27, no. 2 (2025): 52–71. https://doi.org/10.46698/j2148-7740-8991-e.

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The article is devoted to the study of second-order quasilinear elliptic equations with variable nonlinearity exponents and a locally integrable right-hand side in the space $\mathbb{R}^n$. The author adapts the concept of a locally renormalized solution for equations with variable growth exponents, generalizing the results of M. F. Bidaut-V\'{e}ron and L. V\'{e}ron obtained for equations with constant exponents. The work establishes conditions on the structure of the quasilinear elliptic operator with variable growth that are sufficient for the correct definition of a locally renormalized sol

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10

He, Changjiang, David S. Leslie, and James A. Grant. "Online Detection and Fuzzy Clustering of Anomalies in Non-Stationary Time Series." Signals 5, no. 1 (2024): 40–59. http://dx.doi.org/10.3390/signals5010003.

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We consider the challenge of detecting and clustering point and collective anomalies in streaming data that exhibit significant nonlinearities and seasonal structures. The challenge is motivated by detecting problems in a communications network, where we can measure the throughput of nodes, and wish to rapidly detect anomalous traffic behaviour. Our approach is to train a neural network-based nonlinear autoregressive exogenous model on initial training data, then to use the sequential collective and point anomaly framework to identify anomalies in the residuals generated by comparing one-step-

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11

Klypin, Anatoly, Vivian Poulin, Francisco Prada, et al. "Clustering and halo abundances in early dark energy cosmological models." Monthly Notices of the Royal Astronomical Society 504, no. 1 (2021): 769–81. http://dx.doi.org/10.1093/mnras/stab769.

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ABSTRACT Cold Dark Matter with cosmological constant (ΛCDM) cosmological models with early dark energy (EDE) have been proposed to resolve tensions between the Hubble constant $H_0=100\, h$ km ṡ−1Ṁpc−1 measured locally, giving h ≈ 0.73, and H0 deduced from Planck cosmic microwave background (CMB) and other early-Universe measurements plus ΛCDM, giving h ≈ 0.67. EDE models do this by adding a scalar field that temporarily adds dark energy equal to about 10 per cent of the cosmological energy density at the end of the radiation-dominated era at redshift z ∼ 3500. Here, we compare linear and non-

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12

Yousaf, Z. "Structure of spherically symmetric objects: a study based on structure scalars." Physica Scripta 97, no. 2 (2022): 025301. http://dx.doi.org/10.1088/1402-4896/ac4191.

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Abstract The aim of this paper is to explore the consequences of extra curvature terms mediated from f(R, T, Q) (where Q ≡ R μ ν T μ ν ) theory on the formation of scalar functions and their importance in the study of populations who are crowded with regular relativistic objects. For this purpose, we model our system comprising of non-rotating spherical geometry formed due to gravitation of locally anisotropic and radiating sources. After considering a particular f(R, T, Q) model, we form a peculiar relation among Misner-Sharp mass, tidal forces, and matter variables. Through structure scalars

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RAUT, SANTANU, and DHURJATI PRASAD DATTA. "ANALYSIS ON A FRACTAL SET." Fractals 17, no. 01 (2009): 45–52. http://dx.doi.org/10.1142/s0218348x09004156.

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The formulation of a new analysis on a zero measure Cantor set C(⊂I = [0,1]) is presented. A non-Archimedean absolute value is introduced in C exploiting the concept of relative infinitesimals and a scale invariant ultrametric valuation of the form log ε-1 (ε/x) for a given scale ε > 0 and infinitesimals 0 < x < ε, x ∈ I\C. Using this new absolute value, a valued (metric) measure is defined on C and is shown to be equal to the finite Hausdorff measure of the set, if it exists. The formulation of a scale invariant real analysis is also outlined, when the singleton {0} of the real line

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14

Pishvaian, Michael, Amer Zureikat, Charles Lopez, et al. "Abstract CT084: Targeted intra-arterial gemcitabine vs. continuation of IV gemcitabine plus nab-paclitaxel following Induction with sequential IV gemcitabine plus nab-paclitaxel and radiotherapy for unresectable locally advanced pancreatic cancer (TIGeR-PaC) - phase III trial interim analysis." Cancer Research 83, no. 8_Supplement (2023): CT084. http://dx.doi.org/10.1158/1538-7445.am2023-ct084.

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Abstract Background: Treatment of locally advanced pancreatic cancer (LAPC) remains a clinical challenge with a median survival of 16-18 months1. Control of local disease, beyond systemic therapy, is part of the treatment paradigm being investigated in this patient population. Double balloon mediated local delivery of intra-arterial gemcitabine (IAG) into the tumor has been demonstrated to be safe in this patient population2. TIGeR-PaC is an ongoing Phase III clinical trial comparing the efficacy of this approach compared to standard of care IV gemcitabine/nab-paclitaxel (GN) for patients with

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15

Afzal, Waqar, Mujahid Abbas, Jorge E. Macías-Díaz, Armando Gallegos, and Yahya Almalki. "Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs." Fractal and Fractional 9, no. 7 (2025): 458. https://doi.org/10.3390/fractalfract9070458.

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This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·). To the best of our knowledge, the boundedness of such operators has not been addressed in any existing functional setting. We establish their boundedness under appropriate log-Hölder continuity and growth conditions on the exponent function p(·). To highlight the novelty and practical relevance of the proposed operator, we conduct a comparative analysis demonstrating its effectiveness in addressing convergen

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16

Volchkova, Natalia Petrovna, and Vitaliy Vladimirovich Volchkov. "The problem of finding a function by its ball means values." Chebyshevskii Sbornik 24, no. 2 (2023): 63–80. https://doi.org/10.22405/2226-8383-2023-24-2-63-80.

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A classical property of a non-constant 2𝑟-periodic function on the real axis is that it has no period incommensurable with 𝑟. One of the multidimensional analogues of this statement is the following well-known theorem of L. Zalcman on two radii: for the existence of a nonzero locally summable function 𝑓 : R𝑛 → C with nonzero integrals over all balls of radii 𝑟1 and 𝑟2 in R𝑛 it is necessary and sufficient that 𝑟1/𝑟2 ∈ 𝐸𝑛, where 𝐸𝑛 is the set of all possible ratios of positive zeros of the Bessel function 𝐽𝑛/2. The condition 𝑟1/𝑟2 /∈ 𝐸𝑛is equivalent to the equality 𝒵+(︀̃︀𝜒𝑟1)︀∩ 𝒵+(︀̃︀𝜒𝑟2)︀= ∅, w

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17

Maas, Huub, Wendy Noort, Hiltsje A. Smilde, Jacob A. Vincent, Paul Nardelli, and Timothy C. Cope. "Detection of epimuscular myofascial forces by Golgi tendon organs." Experimental Brain Research 240, no. 1 (2021): 147–58. http://dx.doi.org/10.1007/s00221-021-06242-1.

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AbstractSkeletal muscles embed multiple tendon organs, both at the proximal and distal ends of muscle fibers. One of the functions of such spatial distribution may be to provide locally unique force feedback, which may become more important when stresses are distributed non-uniformly within the muscle. Forces exerted by connections between adjacent muscles (i.e. epimuscular myofascial forces) may cause such local differences in force. The aim of this exploratory study was to investigate the effects of mechanical interactions between adjacent muscles on sensory encoding by tendon organs. Action

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18

Impey, Danielle, Sara de la Salle, Ashley Baddeley, and Verner Knott. "Effects of an NMDA antagonist on the auditory mismatch negativity response to transcranial direct current stimulation." Journal of Psychopharmacology 31, no. 5 (2016): 614–24. http://dx.doi.org/10.1177/0269881116665336.

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Transcranial direct current stimulation (tDCS) is a non-invasive form of brain stimulation which uses a weak constant current to alter cortical excitability and activity temporarily. tDCS-induced increases in neuronal excitability and performance improvements have been observed following anodal stimulation of brain regions associated with visual and motor functions, but relatively little research has been conducted with respect to auditory processing. Recently, pilot study results indicate that anodal tDCS can increase auditory deviance detection, whereas cathodal tDCS decreases auditory proce

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19

Doole, S. H., and J. Norbury. "The bifurcation of steady gravity water waves in (R, S) parameter space." Journal of Fluid Mechanics 302 (November 10, 1995): 287–305. http://dx.doi.org/10.1017/s0022112095004101.

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The bifurcation of steady periodic waves from irrotational inviscid streamflows is considered. Normalizing the flux Q to unity leaves two other natural quantities R (pressure head) and S (flowforce) to parameterize the wavetrain. In a well-known paper, Benjamin & Lighthill (1954) presented calculations within a cnoidal-wave theory which suggested that the corresponding values of R and S lie inside the cusped locus traced by the sub- and supercritical streamflows. This rule has been applied since to many other flow scenarios. In this paper, regular expansions for the streamfunction and prof

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20

Lahaye, Domenico, Franjo Juretić, and Marco Talice. "Modelling a Turbulent Non-Premixed Combustion in a Full-Scale Rotary Cement Kiln Using reactingFoam." Energies 15, no. 24 (2022): 9618. http://dx.doi.org/10.3390/en15249618.

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No alternatives are currently available to operate industrial furnaces, except for hydrocarbon fuels. Plant managers, therefore, face at least two challenges. First, environmental legislation demands emission reduction. Second, changes in the origin of the fuel might cause unforeseen changes in the heat release. This paper develops the hypothesis for the detailed control of the combustion process using computational fluid dynamic models. A full-scale mock-up of a rotary cement kiln is selected as a case study. The kiln is fired by the non-premixed combustion of Dutch natural gas. The gas is in

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21

Bennouna, Jaafar, Françoise Shneiker, Jean Yves BLAY, et al. "The FIPO23 trial: First-in-human phase I/II study of XON7 in advanced solids tumors." Journal of Clinical Oncology 42, no. 16_suppl (2024): TPS2673. http://dx.doi.org/10.1200/jco.2024.42.16_suppl.tps2673.

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TPS2673 Background: XON7 is a first-in-class glyco-humanized polyclonal antibody (GH-pAb) targeting selectively multiple tumor-associated antigens. XON7 induces tumor cell apoptosis and promotes the elimination of tumor cells by immune effector cells through CDC (Complement Dependent Cytotoxicity) and ADCP (Antibody-Dependent Cell Phagocytosis). XON7 demonstrated anti-tumor efficacy in mice xenograft models with human solid tumors such as colon, prostate, lung and triple negative breast cancers. Safety pharmacology and toxicology studies in non-human primates demonstrated an acceptable safety

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22

Yasuhito, Tanaka. "Constructive Proof of Tychonoff's Fixed Point Theorem for Sequentially Locally Non-Constant Functions." September 6, 2013. https://doi.org/10.5281/zenodo.1088352.

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23

Yasuhito, Tanaka. "Constructive Proof of Tychonoff's Fixed Point Theorem for Sequentially Locally Non-Constant Functions." International Journal of Engineering, Mathematical and Physical Sciences 6.0, no. 5 (2013). https://doi.org/10.5281/zenodo.1335774.

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24

Yasuhito, Tanaka. "Constructive Proof of the Existence of an Equilibrium in a Competitive Economy with Sequentially Locally Non-Constant Excess Demand Functions." August 23, 2012. https://doi.org/10.5281/zenodo.1062222.

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In this paper we will constructively prove the existence of an equilibrium in a competitive economy with sequentially locally non-constant excess demand functions. And we will show that the existence of such an equilibrium in a competitive economy implies Sperner-s lemma. We follow the Bishop style constructive mathematics.

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25

Breitung, Jörg, and Max Diegel. "Sequential Detector Statistics for Speculative Bubbles." Journal of Time Series Analysis, June 5, 2025. https://doi.org/10.1111/jtsa.12845.

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ABSTRACTWe propose a heteroskedasticity‐robust locally best invariant (LBI) statistic to test the hypothesis of a unit root against the alternative of an explosive root associated with speculative bubbles. Compared to existing alternatives such as Dickey‐Fuller type tests, the LBI statistic has a standard limiting distribution and greater power, particularly in the empirically relevant scenario of a moderately explosive root. Further refinements, such as the point‐optimal linear test, approach the power envelope remarkably closely. To detect bubbles with an unknown starting date, we consider s

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26

Hua, Bobo, and Florentin Münch. "Every salami has two ends." Journal für die reine und angewandte Mathematik (Crelles Journal), February 21, 2025. https://doi.org/10.1515/crelle-2025-0003.

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Abstract A salami is a connected, locally finite, weighted graph with non-negative Ollivier Ricci curvature and at least two ends of infinite volume. We show that every salami has exactly two ends and no vertices with positive curvature. We moreover show that every salami is recurrent and admits harmonic functions with constant gradient. The proofs are based on extremal Lipschitz extensions, a variational principle and the study of harmonic functions. Assuming a lower bound on the edge weight, we prove that salamis are quasi-isometric to the line, that the space of all harmonic functions has f

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27

Avila, Artur, David Damanik, and Zhenghe Zhang. "Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent." Inventiones mathematicae, September 5, 2022. http://dx.doi.org/10.1007/s00222-022-01157-2.

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AbstractWe consider discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the orbits of a general hyperbolic transformation. Specifically, we show that if the sampling function is a non-constant Hölder continuous function defined on a subshift of finite type with a fully supported ergodic measure admitting a local product structure and a fixed point, then the Lyapunov exponent is positive away from a discrete set of energies. Moreover, for sampling functions in a residual subset of the space of Hölder continuous functions, the Lyapunov exponent is posi

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28

Garra, Roberto, Andrea Giusti, Francesco Mainardi, and Gianni Pagnini. "Fractional relaxation with time-varying coefficient." Fractional Calculus and Applied Analysis 17, no. 2 (2014). http://dx.doi.org/10.2478/s13540-014-0178-0.

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AbstractFrom the point of view of the general theory of the hyper-Bessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of power law type and time variability of the characteristic coefficient. According to our analysis, the solutions are still expressed in terms of functions of the Mittag-Leffler type as in case of fractional relaxation with constant coefficient but exhibit a further stretching in the time argument due to the presence of Erdélyi-Kober fractional integrals in our operator

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29

Mugnolo, Delio, and Enzo Vitillaro. "The Wave Equation with Acoustic Boundary Conditions on Non-Locally Reacting Surfaces." Memoirs of the American Mathematical Society 303, no. 1526 (2024). http://dx.doi.org/10.1090/memo/1526.

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The aim of the paper is to study the problem { u t t − c 2 Δ u = 0 a m p ; in R × Ω , μ v t t − d i v Γ ( σ ∇ Γ v ) + δ v t + κ v + ρ u t = 0 a m p ; on R × Γ 1 , v t = ∂ ν u a m p ; on R × Γ 1 , ∂ ν u = 0 a m p ; on R × Γ 0 , u ( 0 , x ) = u 0 ( x ) , u t ( 0 , x ) = u 1 ( x ) a m p ; in Ω , v ( 0 , x ) = v 0 ( x ) , v t ( 0 , x ) = v 1 ( x ) a m p ; on Γ 1 , \begin{equation*} \begin {cases} u_{tt}-c^2\Delta u=0 \qquad &\text {in $\mathbb {R}\times \Omega $,}\\ \mu v_{tt}- div_{_\Gamma }(\sigma \nabla _\Gamma v)+\delta v_t+\kappa v+\rho u_t =0\qquad &\text {on $\mathbb {R}\times \Gamm

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Barbieri, Alessio, and Enzo Vitillaro. "The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces." Semigroup Forum, November 1, 2022. http://dx.doi.org/10.1007/s00233-022-10319-w.

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AbstractThe aim of the paper is to study the problem $$\begin{aligned} {\left\{ \begin{array}{ll} u_{tt}+du_t-c^2\Delta u=0 \qquad &{}\text {in}\, {\mathbb {R}}\times \Omega ,\\ \mu v_{tt}- \textrm{div}_\Gamma (\sigma \nabla _\Gamma v)+\delta v_t+\kappa v+\rho u_t =0\qquad &{}\text {on}\, {\mathbb {R}}\times \Gamma _1,\\ v_t =\partial _\nu u\qquad &{}\text {on}\, {\mathbb {R}}\times \Gamma _1,\\ \partial _\nu u=0 &{}\text {on}\, {\mathbb {R}}\times \Gamma _0,\\ u(0,x)=u_0(x),\quad u_t(0,x)=u_1(x) &{} \text {in}\, \Omega ,\\ v(0,x)=v_0(x),\quad v_t(0,x)=v_1(x) &{} \text

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Mehrota, Ayushi, and David Kim. "Blockchain databases: Encrypted for efficient and secure NoSQL key-store." Journal of Emerging Investigators, 2023. http://dx.doi.org/10.59720/22-084.

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Databases have revealed many vulnerabilities in which hackers can penetrate and gain access to the data. Blockchains have been proven useful to protect against fraud and data miners, exemplified in cryptocurrencies. In this paper, we propose a blockchain database framework as a non-relational database structure that integrates the properties of blockchains and databases. The independent variables when testing this database were the Append, Delete, Query, and Update functions in the database framework. We predicted that the Append, Query, and Update functions would have a logarithmic runtime an

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Pourmorady, Ariel D., Elizaveta V. Bashkirova, Andrea M. Chiariello, et al. "RNA-mediated symmetry breaking enables singular olfactory receptor choice." Nature, December 20, 2023. http://dx.doi.org/10.1038/s41586-023-06845-4.

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AbstractOlfactory receptor (OR) choice provides an extreme example of allelic competition for transcriptional dominance, where every olfactory neuron stably transcribes one of approximately 2,000 or more OR alleles1,2. OR gene choice is mediated by a multichromosomal enhancer hub that activates transcription at a single OR3,4, followed by OR-translation-dependent feedback that stabilizes this choice5,6. Here, using single-cell genomics, we show formation of many competing hubs with variable enhancer composition, only one of which retains euchromatic features and transcriptional competence. Fur

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González Cázares, Jorge Ignacio, and Aleksandar Mijatović. "A Monte Carlo algorithm for the extrema of tempered stable processes." Advances in Applied Probability, June 30, 2023, 1–28. http://dx.doi.org/10.1017/apr.2023.1.

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Abstract We develop a novel Monte Carlo algorithm for the vector consisting of the supremum, the time at which the supremum is attained, and the position at a given (constant) time of an exponentially tempered Lévy process. The algorithm, based on the increments of the process without tempering, converges geometrically fast (as a function of the computational cost) for discontinuous and locally Lipschitz functions of the vector. We prove that the corresponding multilevel Monte Carlo estimator has optimal computational complexity (i.e. of order $\varepsilon^{-2}$ if the mean squared error is at

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Messana, Gaia, Chandra Bortolotto, Sithin Thulasi Seetha, et al. "Non-invasive PD-L1 stratification in non-small cell lung cancer using dynamic contrast-enhanced MRI." European Radiology, March 27, 2025. https://doi.org/10.1007/s00330-025-11524-1.

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Abstract Objectives This study aimed to assess whether pharmacokinetic parameters derived from DCE-MRI can stratify Programmed Death-Ligand 1 (PD-L1) expression in NSCLC. The secondary aim was to identify a suitable pharmacokinetic model configuration for anisotropic temporally-spaced DCE-MRI sequences, considering Tofts variants, population-averaged arterial input functions (AIF), and bolus arrival time (BAT) estimation methods. Materials and methods From April 2021 to May 2023, patients with locally advanced non-small cell lung cancer (NSCLC) were prospectively enrolled. Tumors were categori

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Boyle, Elette, Ilan Komargodski, and Neekon Vafa. "Memory Checking Requires Logarithmic Overhead." Journal of the ACM, December 17, 2024. https://doi.org/10.1145/3707202.

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We study the complexity of memory checkers with computational security and prove the first general tight lower bound. Memory checkers, first introduced over 30 years ago by Blum, Evans, Gemmel, Kannan, and Naor (FOCS ’91, Algorithmica ’94), allow a user to store and maintain a large memory on a remote and unreliable server by using small trusted local storage. The user can issue instructions to the server and after every instruction, obtain either the correct value or a failure (but not an incorrect answer) with high probability. The main complexity measure of interest is the size of the local

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sprotocols. "Sequential chromatin immunoprecipitation protocol for global analysis through massive parallel sequencing (reChIP-seq)." January 15, 2015. https://doi.org/10.5281/zenodo.13973.

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Authors: Marco Antonio Mendoza-Parra, Shankaranarayanan Pattabhiraman & Hinrich Gronemeyer ### Abstract Chromatin immunoprecipitation combined with massive parallel sequencing (ChIP-seq) is increasingly used to study protein-chromatin interactions or local epigenetic modifications at genome-wide scale. ChIP-seq can be performed directly with several ng of immunoprecipitated DNA, which is generally obtained from a several million cells, depending on the quality of the antibody. ChIP-seq can only provide binding/modification information for a single epitope but multidimensional analyses requ

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