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Journal articles on the topic 'Numba'

Author: Grafiati

Published: 28 June 2021

Last updated: 25 April 2022

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1

Pivarski, Jim, Peter Elmer, and David Lange. "Awkward Arrays in Python, C++, and Numba." EPJ Web of Conferences 245 (2020): 05023. http://dx.doi.org/10.1051/epjconf/202024505023.

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The Awkward Array library has been an important tool for physics analysis in Python since September 2018. However, some interface and implementation issues have been raised in Awkward Array’s first year that argue for a reimplementation in C++ and Numba. We describe those issues, the new architecture, and present some examples of how the new interface will look to users. Of particular importance is the separation of kernel functions from data structure management, which allows a C++ implementation and a Numba implementation to share kernel functions, and the algorithm that transforms recordoriented data into columnar Awkward Arrays.

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2

Sulaiman, Hasti, Fransiskus Xaverius Rema, and Anita Anita. "MENELUSURI JEJAK SEJARAH PENINGGALAN PORTUGIS DI KAMPUNG NUMBA." HISTORIA Jurnal Program Studi Pendidikan Sejarah 6, no. 2 (September 5, 2018): 237. http://dx.doi.org/10.24127/hj.v6i2.1528.

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3

Dressler, Sven, and Daniel N. Wilke. "PyBONDEM-GPU: A discrete element bonded particle Python research framework – Development and examples." EPJ Web of Conferences 249 (2021): 14009. http://dx.doi.org/10.1051/epjconf/202124914009.

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Discrete element modelling (DEM) is widely used to simulate granular systems, nowadays routinely on graphical processing units. Graphics processing units (GPUs) are inherently designed for parallel computation, and recent advances in the architecture, compiler design and language development are allowing general-purpose computation to be computed on multiple GPUs. Application of DEM to bonded particle systems are much less common, with a number of open research questions remaining. This study outlines a Bonded-Particle Research DEM Framework, PyBONDEM-GPU, written in Python. This framework leverages the parallel nature of GPUs for computational speed-up and the rapid prototype flexibility of Python. Python is faster and easier to learn than classical compiled languages, making computational simulation development accessible to undergraduate and graduate engineers. PyBONDEMGPU leverages the Numba-CUDA module to compile Python syntax for execution on GPUs. The framework enables research of fibre pull-out from fibre-matrix embeddings. Bonds are simulated between all interacting particles. The performance of PyBONDEM-GPU is compared against Python CPU implementations of PyBONDEM using the Numpy and Numba-CPU Python modules. PyBONDEM-GPU was found to be 1000 times faster than the Numpy implementation and 4 times faster than the Numba-CPU implementation to resolve forces and to integrate the equations of motion.

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Lavrinov, M. I. "AN OVERVIEW OF THE NUMBA JIT COMPILER AS A GPU PARALLEL COMPUTING TOOL." Современные наукоемкие технологии (Modern High Technologies), no. 2 2022 (2022): 67–71. http://dx.doi.org/10.17513/snt.39039.

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5

Boussou, Cécile, and Sylvie Vago. "NumBA, voyage au cœur des collections patrimoniales des bibliothèques du Cirad." De l’ombre à la lumière, no. 99 (October 1, 2020): 6–7. http://dx.doi.org/10.35562/arabesques.2236.

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6

Betcke, Timo, and Matthew W. Scroggs. "Designing a High-Performance Boundary Element Library With OpenCL and Numba." Computing in Science & Engineering 23, no. 4 (July 1, 2021): 18–28. http://dx.doi.org/10.1109/mcse.2021.3085420.

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7

Döschl, Alexander, Max-Emanuel Keller, and Peter Mandl. "Performance evaluation of GPU- and cluster-computing for parallelization of compute-intensive tasks." International Journal of Web Information Systems 17, no. 4 (August 6, 2021): 377–402. http://dx.doi.org/10.1108/ijwis-03-2021-0032.

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Purpose This paper aims to evaluate different approaches for the parallelization of compute-intensive tasks. The study compares a Java multi-threaded algorithm, distributed computing solutions with MapReduce (Apache Hadoop) and resilient distributed data set (RDD) (Apache Spark) paradigms and a graphics processing unit (GPU) approach with Numba for compute unified device architecture (CUDA). Design/methodology/approach The paper uses a simple but computationally intensive puzzle as a case study for experiments. To find all solutions using brute force search, 15! permutations had to be computed and tested against the solution rules. The experimental application comprises a Java multi-threaded algorithm, distributed computing solutions with MapReduce (Apache Hadoop) and RDD (Apache Spark) paradigms and a GPU approach with Numba for CUDA. The implementations were benchmarked on Amazon-EC2 instances for performance and scalability measurements. Findings The comparison of the solutions with Apache Hadoop and Apache Spark under Amazon EMR showed that the processing time measured in CPU minutes with Spark was up to 30% lower, while the performance of Spark especially benefits from an increasing number of tasks. With the CUDA implementation, more than 16 times faster execution is achievable for the same price compared to the Spark solution. Apart from the multi-threaded implementation, the processing times of all solutions scale approximately linearly. Finally, several application suggestions for the different parallelization approaches are derived from the insights of this study. Originality/value There are numerous studies that have examined the performance of parallelization approaches. Most of these studies deal with processing large amounts of data or mathematical problems. This work, in contrast, compares these technologies on their ability to implement computationally intensive distributed algorithms.

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8

Njiki Chatué, C., T. Njanko, E. M. Fozing, B. E. Bella Nké, N. Séta, and E. Njonfang. "Field observations, magnetic fabrics and microstructures evidences of syn-kinematic emplacement of the Numba granitic pluton (western Cameroon domain)." Journal of African Earth Sciences 172 (December 2020): 104009. http://dx.doi.org/10.1016/j.jafrearsci.2020.104009.

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Ge, Jixing. "GGCHEMPY: A Pure Python-based Gas-grain Chemical Code for Efficient Simulation of Interstellar Chemistry*." Research in Astronomy and Astrophysics 22, no. 1 (January 1, 2022): 015004. http://dx.doi.org/10.1088/1674-4527/ac321e.

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Abstract In this paper, we present a new gas-grain chemical code for interstellar clouds written in pure Python (GGCHEMPY (GGCHEMPY is available on https://github.com/JixingGE/GGCHEMPY)). By combining with the high-performance Python compiler Numba, GGCHEMPY is as efficient as the Fortran-based version. With the Python features, flexible computational workflows and extensions become possible. As a showcase, GGCHEMPY is applied to study the general effects of three-dimensional projection on molecular distributions using a two-core system which can be easily extended for more complex cases. By comparing the molecular distribution differences between two overlapping cores and two merging cores, we summarized the typical chemical differences such as N2H+, HC3N, C2S, H2CO, HCN and C2H, which can be used to interpret 3D structures in molecular clouds.

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10

Rousselle, Olivier, and Tom Sykora. "Fast simulation of Time-of-Flight detectors at the LHC." EPJ Web of Conferences 251 (2021): 03027. http://dx.doi.org/10.1051/epjconf/202125103027.

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The modelling of Cherenkov based detectors is traditionally done using Geant4 toolkit. In this work, we present another method based on Python programming language and Numba high performance compiler to speed up the simulation. As an example we take one of the Forward Proton Detectors at the CERN LHC - ATLAS Forward Proton (AFP) Time-of-Flight, which is used to reduce the background from multiple proton-proton collisions in soft and hard diffiractive events. We describe the technical details of the fast Cherenkov model of photon generation and transportation through the optical part of the ToF detector. The fast simulation is revealed to be about 200 times faster than the corresponding Geant4 simulation, and provides similar results concerning length and time distributions of photons. The study is meant as the first step in a construction of a building kit allowing creation of a fast simulation of an arbitrary shaped optical part of detectors.

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Clemente-López, Daniel, Esteban Tlelo-Cuautle, Luis-Gerardo de la Fraga, José de Jesús Rangel-Magdaleno, and Jesus Manuel Munoz-Pacheco. "Poincaré maps for detecting chaos in fractional-order systems with hidden attractors for its Kaplan-Yorke dimension optimization." AIMS Mathematics 7, no. 4 (2022): 5871–94. http://dx.doi.org/10.3934/math.2022326.

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<abstract><p>The optimization of fractional-order (FO) chaotic systems is challenging when simulating a considerable number of cases for long times, where the primary problem is verifying if the given parameter values will generate chaotic behavior. In this manner, we introduce a methodology for detecting chaotic behavior in FO systems through the analysis of Poincaré maps. The optimization process is performed applying differential evolution (DE) and accelerated particle swarm optimization (APSO) algorithms for maximizing the Kaplan-Yorke dimension ($ D_{KY} $) of two case studies: a 3D and a 4D FO chaotic systems with hidden attractors. These FO chaotic systems are solved applying the Grünwald-Letnikov method, and the Numba just-in-time (jit) compiler is used to improve the optimization process's time execution in Python programming language. The optimization results show that the proposed method efficiently optimizes FO chaotic systems with hidden attractors while saving execution time.</p></abstract>

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12

García-Heredia, José Manuel, and Amancio Carnero. "NUMB and NUMBL differences in gene regulation." Oncotarget 9, no. 10 (January 11, 2018): 9219–34. http://dx.doi.org/10.18632/oncotarget.24186.

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13

Chou, Chung-Hsien, Chun-Yu Fan Chiang, Cheng-Chieh Yang, Ying-Chieh Liu, Sih-Rou Chang, Kuo-Wei Chang, and Shu-Chun Lin. "miR-31-NUMB Cascade Modulates Monocarboxylate Transporters to Increase Oncogenicity and Lactate Production of Oral Carcinoma Cells." International Journal of Molecular Sciences 22, no. 21 (October 29, 2021): 11731. http://dx.doi.org/10.3390/ijms222111731.

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Oral squamous cell carcinoma (OSCC) is among the leading causes of cancer-associated death worldwide. miR-31 is an oncogenic miRNA in OSCC. NUMB is an adaptor protein capable of suppressing malignant transformation. Disruption of the miR-31-NUMB regulatory axis has been demonstrated in malignancies. Mitochondrial dysfunction and adaptation to glycolytic respiration are frequent events in malignancies. Monocarboxylate transporters (MCTs) function to facilitate lactate flux in highly glycolytic cells. Upregulation of MCT1 and MCT4 has been shown to be a prognostic factor of OSCC. Here, we reported that miR-31-NUMB can modulate glycolysis in OSCC. Using the CRISPR/Cas9 gene editing strategy, we identified increases in oncogenic phenotypes, MCT1 and MCT4 expression, lactate production, and glycolytic respiration in NUMB-deleted OSCC subclones. Transfection of the Numb1 or Numb4 isoform reversed the oncogenic induction elicited by NUMB deletion. This study also showed, for the first time, that NUMB4 binds MCT1 and MCT4 and that this binding increases their ubiquitination, which may decrease their abundance in cell lysates. The disruptions in oncogenicity and metabolism associated with miR-31 deletion and NUMB deletion were partially rescued by MCT1/MCT4 expression or knockdown. This study demonstrated that NUMB is a novel binding partner of MCT1 and MCT4 and that the miR-31-NUMB-MCT1/MCT4 regulatory cascade is present in oral carcinoma.

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Alam, Marzia, Mehreen Saleem Gul, and Tariq Muneer. "Radiation View Factor for Building Applications: Comparison of Computation Environments." Energies 12, no. 20 (October 10, 2019): 3826. http://dx.doi.org/10.3390/en12203826.

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Computation of view factors is required in several building engineering applications where radiative exchange takes place between surfaces such as ground and vertical walls or ground and sloping thermal or photovoltaics collectors. In this paper, view factor computations are performed for bifacial solar photovoltaic (PV) collectors based on the finite element method (FEM) using two programming languages known as Microsoft Excel-Visual Basic for Applications (VBA) and Python. The aim is to determine the computer response time as well as the performance of the two languages in terms of accuracy and convergence of the numerical solution. To run the simulations in Python, an open source just-in-time (JIT) compiler called Numba was used and the same program was also run as a macro in VBA. It was observed that the simulation response time significantly decreased in Python when compared to VBA. This decrease in time was due to the increase in the total number of iterations from 400 million to 250 billion for a given case. Results demonstrated that Python was 71–180 times faster than VBA and, therefore, offers a better programming platform for the view factor analysis and modelling of bifacial solar PV where computation time is a significant modelling challenge.

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De Pra, Yuri, and Federico Fontana. "Programming Real-Time Sound in Python." Applied Sciences 10, no. 12 (June 19, 2020): 4214. http://dx.doi.org/10.3390/app10124214.

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For its versatility, Python has become one of the most popular programming languages. In spite of its possibility to straightforwardly link native code with powerful libraries for scientific computing, the use of Python for real-time sound applications development is often neglected in favor of alternative programming languages, which are tailored to the digital music domain. This article introduces Python as a real-time software programming tool to interested readers, including Python developers who are new to the real time or, conversely, sound programmers who have not yet taken this language into consideration. Cython and Numba are proposed as libraries supporting agile development of efficient software running at machine level. Moreover, it is shown that refactoring few critical parts of the program under these libraries can dramatically improve the performances of a sound algorithm. Such improvements can be directly benchmarked within Python, thanks to the existence of appropriate code parsing resources. After introducing a simple sound processing example, two algorithms that are known from the literature are coded to show how Python can be effectively employed to program sound software. Finally, issues of efficiency are mainly discussed in terms of latency of the resulting applications. Overall, such issues suggest that the use of real-time Python should be limited to the prototyping phase, where the benefits of language flexibility prevail on low latency requirements, for instance, needed during computer music live performances.

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Bogdanović, Ozren, Mariana Delfino-Machín, María Nicolás-Pérez, María P. Gavilán, Inês Gago-Rodrigues, Ana Fernández-Miñán, Concepción Lillo, Rosa M. Ríos, Joachim Wittbrodt, and Juan R. Martínez-Morales. "Numb/Numbl-Opo Antagonism Controls Retinal Epithelium Morphogenesis by Regulating Integrin Endocytosis." Developmental Cell 23, no. 4 (October 2012): 782–95. http://dx.doi.org/10.1016/j.devcel.2012.09.004.

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Gagan, B. R., Shivaprakash T, Thirumalai Shaktivel C, Vaishak P, and Kushal Kumar B. N. "Design of a New Language Seeks Literature Survey." International Journal for Research in Applied Science and Engineering Technology 10, no. 3 (March 31, 2022): 1623–27. http://dx.doi.org/10.22214/ijraset.2022.40949.

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Abstract: In a scientific study, computing is a must-have tool. In general, scientists have various difficulties, requirements, and views when it comes to computation, which need to be addressed by the programming language that they use, this cannot be satisfied by general-purpose languages. Also, researchers need to concentrate on the issue they are working on rather than the optimizations for the calculations, so instead of using a general-purpose language, if there exists a language whose compiler would take care of those optimizations, it would make their work easier and faster. This is a survey of the work undertaken to design the programming language and its compiler. The primary goal of this research is to examine the function of work, implementation strategy, steps taken for improving the performance, the procedure of benchmarking, and finally, the outcome of the papers studied. The survey's main conclusions are that: the most common language mentioned among the papers was Python which appears to be more popular among developers due to its simple syntax and library support for computing. On the other hand, Python lacks performance, to compensate for this performance issue, the community has developed tools like Cython, Numba, Pythran, etc, which can be used to speed up Python. Domain-specific languages such as Wolfram, Seq, and ELI highlighted various methods for overcoming problems. Some languages like Wolfram and ELI moved from interpreter to compiler to get the performance boost. Most of the compilers use LLVM as the backend for optimizations and code generation. Keywords: scientific computation, compiler, programming language

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Boulle, A., and J. Kieffer. "High-performance Python for crystallographic computing." Journal of Applied Crystallography 52, no. 4 (July 24, 2019): 882–97. http://dx.doi.org/10.1107/s1600576719008471.

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The Python programming language, combined with the numerical computing library NumPy and the scientific computing library SciPy, has become the de facto standard for scientific computing in a variety of fields. This popularity is mainly due to the ease with which a Python program can be written and executed (easy syntax, dynamical typing, no compilation etc.), coupled with the existence of a large number of specialized third-party libraries that aim to lift all the limitations of the raw Python language. NumPy introduces vector programming, improving execution speeds, whereas SciPy brings a wealth of highly optimized and reliable scientific functions. There are cases, however, where vector programming alone is not sufficient to reach optimal performance. This issue is addressed with dedicated compilers that aim to translate Python code into native and statically typed code with support for the multi-core architectures of modern processors. In the present article it is shown how these approaches can be efficiently used to tackle different problems, with increasing complexity, that are relevant to crystallography: the 2D Laue function, scattering from a strained 2D crystal, scattering from 3D nanocrystals and, finally, diffraction from films and multilayers. For each case, detailed implementations and explanations of the functioning of the algorithms are provided. Different Python compilers (namely NumExpr, Numba, Pythran and Cython) are used to improve performance and are benchmarked against state-of-the-art NumPy implementations. All examples are also provided as commented and didactic Python (Jupyter) notebooks that can be used as starting points for crystallographers curious to enter the Python ecosystem or wishing to accelerate their existing codes.

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Petersen, Petur H., Kaiyong Zou, Stefan Krauss, and Weimin Zhong. "Continuing role for mouse Numb and Numbl in maintaining progenitor cells during cortical neurogenesis." Nature Neuroscience 7, no. 8 (July 25, 2004): 803–11. http://dx.doi.org/10.1038/nn1289.

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20

Hirai, Maretoshi, Yoh Arita, C. Jane McGlade, Kuo-Fen Lee, Ju Chen, and Sylvia M. Evans. "Adaptor proteins NUMB and NUMBL promote cell cycle withdrawal by targeting ERBB2 for degradation." Journal of Clinical Investigation 127, no. 2 (January 9, 2017): 569–82. http://dx.doi.org/10.1172/jci91081.

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21

Miao, Lianjie, Yangyang Lu, Anika Nusrat, Hala Y. Abdelnasser, Sayantap Datta, Bin Zhou, Robert J. Schwartz, and Mingfu Wu. "The Spatiotemporal Expression of Notch1 and Numb and Their Functional Interaction during Cardiac Morphogenesis." Cells 10, no. 9 (August 25, 2021): 2192. http://dx.doi.org/10.3390/cells10092192.

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Numb family proteins (NFPs), including Numb and Numblike (Numbl), are commonly known for their role as cell fate determinants for multiple types of progenitor cells, mainly due to their function as Notch inhibitors. Previous studies have shown that myocardial NFP double knockout (MDKO) hearts display an up-regulated Notch activation and various defects in cardiac progenitor cell differentiation and cardiac morphogenesis. Whether enhanced Notch activation causes these defects in MDKO is not fully clear. To answer the question, we examined the spatiotemporal patterns of Notch1 expression, Notch activation, and Numb expression in the murine embryonic hearts using multiple approaches including RNAScope, and Numb and Notch reporter mouse lines. To further interrogate the interaction between NFPs and Notch signaling activation, we deleted both Notch1 or RBPJk alleles in the MDKO. We examined and compared the phenotypes of Notch1 knockout, NFPs double knockout, Notch1; Numb; Numbl and RBPJk; Numb; Numbl triple knockouts. Our study showed that Notch1 is expressed and activated in the myocardium at several stages, and Numb is enriched in the epicardium and did not show the asymmetric distribution in the myocardium. Cardiac-specific Notch1 deletion causes multiple structural defects and embryonic lethality. Notch1 or RBPJk deletion in MDKO did not rescue the structural defects in the MDKO but partially rescued the defects of cardiac progenitor cell differentiation, cardiomyocyte proliferation, and trabecular morphogenesis. Our study concludes that NFPs regulate progenitor cell differentiation, cardiomyocyte proliferation, and trabecular morphogenesis partially through Notch1 and play more roles than inhibiting Notch1 signaling during cardiac morphogenesis.

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22

García-Heredia, José M., Eva M. Verdugo Sivianes, Antonio Lucena-Cacace, Sonia Molina-Pinelo, and Amancio Carnero. "Numb-like (NumbL) downregulation increases tumorigenicity, cancer stem cell-like properties and resistance to chemotherapy." Oncotarget 7, no. 39 (August 23, 2016): 63611–28. http://dx.doi.org/10.18632/oncotarget.11553.

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23

Rašin, Mladen-Roko, Valeswara-Rao Gazula, Joshua J. Breunig, Kenneth Y. Kwan, Matthew B. Johnson, Susan Liu-Chen, Hua-Shun Li, et al. "Numb and Numbl are required for maintenance of cadherin-based adhesion and polarity of neural progenitors." Nature Neuroscience 10, no. 7 (June 24, 2007): 819–27. http://dx.doi.org/10.1038/nn1924.

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24

Zhang, Yue, Fengyin Li, Yongli Song, Xiaole Sheng, Fazheng Ren, Kai Xiong, Lei Chen, et al. "Numb and Numbl act to determine mammary myoepithelial cell fate, maintain epithelial identity, and support lactogenesis." FASEB Journal 30, no. 10 (July 6, 2016): 3474–88. http://dx.doi.org/10.1096/fj.201600387r.

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25

Lima, Érico de Oliveira de Araújo. "Numa cama, numa greve, numa festa, numa revolução: notas sobre materialidades de uma experiência estética." Galáxia (São Paulo), no. 31 (June 2016): 117–29. http://dx.doi.org/10.1590/1982-25542016122253.

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Resumo Este artigo aborda o filme A Idade da Terra (Glauber Rocha, 1980), segundo uma abordagem teórico-metodológica que destaca as materialidades da imagem e do som. Existem aqui dois gestos: um de caráter analítico, que tenta efetuar um contato material com a obra destacada; e um segundo gesto, de tonalidade conceitual, que consiste em situar a discussão sobre as materialidades dos objetos da comunicação. No caminho por essa pesquisa de conceitos, encontramos uma vinculação fundamental entre a dimensão temporal das formas e a materialidade da experiência estética.

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Wang, Zezhou, and Shawn S. C. Li. "Numb." Cell Adhesion & Migration 4, no. 2 (April 2010): 176–79. http://dx.doi.org/10.4161/cam.4.2.10690.

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27

Jafar-Nejad, Hamed, Koenraad K. Norga, and Hugo J. Bellen. "Numb." Developmental Cell 3, no. 2 (August 2002): 155–56. http://dx.doi.org/10.1016/s1534-5807(02)00228-9.

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Wilton, Jayne. "Numb." Lancet Respiratory Medicine 4, no. 4 (April 2016): 258. http://dx.doi.org/10.1016/s2213-2600(15)00372-0.

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Swarnkar, Gaurav, Kannan Karuppaiah, Gabriel Mbalaviele, Tim (Hung-Po) Chen, and Yousef Abu-Amer. "Osteopetrosis in TAK1-deficient mice owing to defective NF-κB and NOTCH signaling." Proceedings of the National Academy of Sciences 112, no. 1 (December 22, 2014): 154–59. http://dx.doi.org/10.1073/pnas.1415213112.

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The MAP kinase TGFβ-activated kinase (TAK1) plays a crucial role in physiologic and pathologic cellular functions including cell survival, differentiation, apoptosis, inflammation, and oncogenesis. However, the entire repertoire of its mechanism of action has not been elucidated. Here, we found that ablation of Tak1 in myeloid cells causes osteopetrosis in mice as a result of defective osteoclastogenesis. Mechanistically, Tak1 deficiency correlated with increased NUMB-like (NUMBL) levels. Accordingly, forced expression of Numbl abrogated osteoclastogenesis whereas its deletion partially restored osteoclastogenesis and reversed the phenotype of Tak1 deficiency. Tak1 deletion also down-regulated Notch intracellular domain (NICD), but increased the levels of the transcription factor recombinant recognition sequence binding protein at Jκ site (RBPJ), consistent with NUMBL regulating notch signaling through degradation of NICD, a modulator of RBPJ. Accordingly, deletion of Rbpj partially corrected osteopetrosis in Tak1-deficient mice. Furthermore, expression of active IKK2 in RBPJ/TAK1-deficient cells significantly restored osteoclastogenesis, indicating that activation of NF-κB is essential for complete rescue of the pathway. Thus, we propose that TAK1 regulates osteoclastogenesis by integrating activation of NF-κB and derepression of NOTCH/RBPJ in myeloid cells through inhibition of NUMBL.

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30

Forrest, Kally, and NUMSA. "NUMSA Women Organise." Agenda, no. 5 (1989): 24. http://dx.doi.org/10.2307/4065645.

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Travis, John. "Comfortably Numb." Science News 166, no. 1 (July 3, 2004): 8. http://dx.doi.org/10.2307/4015361.

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Stirrups, Rob. "Comfortably numb." Lancet Psychiatry 2, no. 5 (May 2015): 394. http://dx.doi.org/10.1016/s2215-0366(15)00189-3.

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Falsafi, Babak, and David A. Wood. "Reactive NUMA." ACM SIGARCH Computer Architecture News 25, no. 2 (May 1997): 229–40. http://dx.doi.org/10.1145/384286.264205.

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Ellis, Cristin. "Numb Networks." Political Research Quarterly 69, no. 3 (July 28, 2016): 626–32. http://dx.doi.org/10.1177/1065912916657187.

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Bushman, Brad J., and Craig A. Anderson. "Comfortably Numb." Psychological Science 20, no. 3 (March 2009): 273–77. http://dx.doi.org/10.1111/j.1467-9280.2009.02287.x.

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Tarr, R. W. "Comfortably numb." Journal of NeuroInterventional Surgery 2, no. 4 (November 21, 2010): 307–8. http://dx.doi.org/10.1136/jnis.2010.003939.

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Godard, Edward (Ted) St. "Comfortably Numb." Journal of Palliative Care 30, no. 2 (June 2014): 127–28. http://dx.doi.org/10.1177/082585971403000209.

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Davenport, R. J. "Numb Together." Science of Aging Knowledge Environment 2005, no. 35 (August 31, 2005): nf70. http://dx.doi.org/10.1126/sageke.2005.35.nf70.

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Sebel, Peter S. "Comfortably numb?" Acta Anaesthesiologica Scandinavica 48, no. 1 (December 12, 2003): 1–3. http://dx.doi.org/10.1111/j.1399-6576.2004.00303.x.

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Casanova, James E. "PARtitioning Numb." EMBO reports 8, no. 3 (March 2007): 233–35. http://dx.doi.org/10.1038/sj.embor.7400928.

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Roy, Probir, Shuaiwen Leon Song, Sriram Krishnamoorthy, Abhinav Vishnu, Dipanjan Sengupta, and Xu Liu. "NUMA-Caffe." ACM Transactions on Architecture and Code Optimization 15, no. 2 (June 22, 2018): 1–26. http://dx.doi.org/10.1145/3199605.

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López, Juan Carlos. "Comfortably Numb." Nature Reviews Neuroscience 5, no. 2 (February 2004): 83. http://dx.doi.org/10.1038/nrn1339.

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Asher, Thomas R. "Uncomfortably Numb." Index on Censorship 32, no. 3 (July 2003): 105–11. http://dx.doi.org/10.1080/03064220308537261.

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Mason, Tyler B., Jason M. Lavender, Stephen A. Wonderlich, Howard Steiger, Li Cao, Scott G. Engel, James E. Mitchell, and Ross D. Crosby. "Comfortably Numb." Journal of Nervous and Mental Disease 205, no. 5 (May 2017): 335–39. http://dx.doi.org/10.1097/nmd.0000000000000658.

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Check, Erika. "Comfortably numb." Nature 443, no. 7112 (October 2006): 629–31. http://dx.doi.org/10.1038/443629a.

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Pullman, M., and J. Andrzejowski. "Comfortably numb." Anaesthesia 68, no. 9 (July 12, 2013): 896–98. http://dx.doi.org/10.1111/anae.12346.

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Sullivan, Mark. "Dangerously numb." PAIN 159, no. 3 (March 2018): 407–8. http://dx.doi.org/10.1097/j.pain.0000000000001128.

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Seierstad, Åsne. "Comfortably numb." Samtiden 120, no. 04 (April 3, 2012): 26–31. http://dx.doi.org/10.18261/issn1890-0690-2011-04-04.

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Seierstad, Åsne. "Comfortably numb." Samtiden 122, no. 03 (November 17, 2014): 72–77. http://dx.doi.org/10.18261/issn1890-0690-2014-03-07.

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Lindström, B. "A TRANSLATE OF BOSE –CHOWLA B 2 -SETS." Studia Scientiarum Mathematicarum Hungarica 36, no. 3-4 (December 1, 2000): 331–33. http://dx.doi.org/10.1556/sscmath.36.2000.3-4.5.

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Abstract:

be a pow r of a prim .Wh n č is a primitiv element in GF (q 2)then {-.by a th orem of R.C.Bose and S.Chowla,i.e.th sumsO.Moreno has prov d the xistenc of primitiv quadratics 2 -+g ov r GF (q).I prov that the numb r of b .B (q,.)with b relativ ly prime to q 2 -1istwic th numbr of Mor no quadratics over GF (q)(Corollary 2).If . is a root of a Moreno quadratic,then

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