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1

Brezinski, Claude, and Michela Redivo-Zaglia. "Matrix Shanks Transformations." Electronic Journal of Linear Algebra 35 (February 1, 2019): 248–65. http://dx.doi.org/10.13001/1081-3810.3925.

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Shanks' transformation is a well know sequence transformation for accelerating the convergence of scalar sequences. It has been extended to the case of sequences of vectors and sequences of square matrices satisfying a linear difference equation with scalar coefficients. In this paper, a more general extension to the matrix case where the matrices can be rectangular and satisfy a difference equation with matrix coefficients is proposed and studied. In the particular case of square matrices, the new transformation can be recursively implemented by the matrix $\varepsilon$-algorithm of Wynn. Then, the transformation is related to matrix Pad\'{e}-type and Pad\'{e} approximants. Numerical experiments showing the interest of this transformation end the paper.
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2

Terr, David C. "A modification of Shanks' baby-step giant-step algorithm." Mathematics of Computation 69, no. 230 (March 4, 1999): 767–74. http://dx.doi.org/10.1090/s0025-5718-99-01141-2.

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3

Kuhlmann, Marco, and Giorgio Satta. "A New Parsing Algorithm for Combinatory Categorial Grammar." Transactions of the Association for Computational Linguistics 2 (December 2014): 405–18. http://dx.doi.org/10.1162/tacl_a_00192.

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We present a polynomial-time parsing algorithm for CCG, based on a new decomposition of derivations into small, shareable parts. Our algorithm has the same asymptotic complexity, O( n6), as a previous algorithm by Vijay-Shanker and Weir (1993), but is easier to understand, implement, and prove correct.
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Brezinski, Claude, Yi He, Xing-Biao Hu, Michela Redivo-Zaglia, and Jian-Qing Sun. "Multistep $𝜖$–algorithm, Shanks’ transformation, and the Lotka–Volterra system by Hirota’s method." Mathematics of Computation 81, no. 279 (September 1, 2012): 1527–49. http://dx.doi.org/10.1090/s0025-5718-2011-02554-8.

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5

Temelkova, Ivanka, Michael Tronnier, Ivan Terziev, Uwe Wollina, Ilia Lozev, Mohamad Goldust, and Georgi Tchernev. "A Series of Patients with Kaposi Sarcoma (Mediterranean/Classical Type): Case Presentations and Short Update on Pathogenesis and Treatment." Open Access Macedonian Journal of Medical Sciences 6, no. 9 (August 20, 2018): 1688–93. http://dx.doi.org/10.3889/oamjms.2018.354.

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BACKGROUND: Kaposi’s sarcoma was first described in 1872 by Moritz Kaposi. To date, it is considered a malignant disease is originating from the endothelial cells of the lymphatic vessels believed to be infected with HHV-8. The current classification defines four major epidemiological forms of Kaposi’s sarcoma: classical, endemic, AIDS-associated, and iatrogenic. CASE REPORT: A 90-year-old male is presented with multiple plaques- and tumour-shaped brown-violet formations located on an erythematous-livid base in the area of both feet and both shanks. Two samples were taken from the lesions on the skin of the shanks, with histopathological examination and the subsequent immunohistochemistry showing Kaposi’s sarcoma. CONCLUSIONS: Kaposi sarcoma is a disease that causes difficulties both in diagnostic and therapeutic respect. The only sure way to determine the correct diagnosis is immunohistochemical staining with the anti-HHV8 antibody. Despite the wide range of systematic and local treatment options, there is still no unified algorithm and a unified strategy for the treatment of Kaposi’s sarcoma.
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Kuhlmann, Marco, Giorgio Satta, and Peter Jonsson. "On the Complexity of CCG Parsing." Computational Linguistics 44, no. 3 (September 2018): 447–82. http://dx.doi.org/10.1162/coli_a_00324.

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We study the parsing complexity of Combinatory Categorial Grammar (CCG) in the formalism of Vijay-Shanker and Weir ( 1994 ). As our main result, we prove that any parsing algorithm for this formalism will take in the worst case exponential time when the size of the grammar, and not only the length of the input sentence, is included in the analysis. This sets the formalism of Vijay-Shanker and Weir ( 1994 ) apart from weakly equivalent formalisms such as Tree Adjoining Grammar, for which parsing can be performed in time polynomial in the combined size of grammar and input sentence. Our results contribute to a refined understanding of the class of mildly context-sensitive grammars, and inform the search for new, mildly context-sensitive versions of CCG.
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7

Jacobson, M. J., Y. Lee, R. Scheidler, and H. C. Williams. "Construction of all cubic function fields of a given square-free discriminant." International Journal of Number Theory 11, no. 06 (August 26, 2015): 1839–85. http://dx.doi.org/10.1142/s1793042115500803.

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For any square-free polynomial D over a finite field of characteristic at least 5, we present an algorithm for generating all cubic function fields of discriminant D. We also provide a count of all these fields according to their splitting at infinity. When D′ = D/(-3) has even degree and a leading coefficient that is a square, i.e. D′ is the discriminant of a real quadratic function field, this method makes use of the infrastructures of this field. This infrastructure method was first proposed by Shanks for cubic number fields in an unpublished manuscript from the late 1980s. While the mathematical ingredients of our construction are largely classical, our algorithm has the major computational advantage of finding very small minimal polynomials for the fields in question.
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8

Sun, Jian-Qing, Xiang-Ke Chang, Yi He, and Xing-Biao Hu. "An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm with Their Convergence and Stability Analysis." Numerische Mathematik 125, no. 4 (May 10, 2013): 785–809. http://dx.doi.org/10.1007/s00211-013-0549-1.

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9

Aprigliano, Federica, Silvestro Micera, and Vito Monaco. "Pre-Impact Detection Algorithm to Identify Tripping Events Using Wearable Sensors." Sensors 19, no. 17 (August 27, 2019): 3713. http://dx.doi.org/10.3390/s19173713.

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This study aimed to investigate the performance of an updated version of our pre-impact detection algorithm parsing out the output of a set of Inertial Measurement Units (IMUs) placed on lower limbs and designed to recognize signs of lack of balance due to tripping. Eight young subjects were asked to manage tripping events while walking on a treadmill. An adaptive threshold-based algorithm, relying on a pool of adaptive oscillators, was tuned to identify abrupt kinematics modifications during tripping. Inputs of the algorithm were the elevation angles of lower limb segments, as estimated by IMUs located on thighs, shanks and feet. The results showed that the proposed algorithm can identify a lack of balance in about 0.37 ± 0.11 s after the onset of the perturbation, with a low percentage of false alarms (<10%), by using only data related to the perturbed shank. The proposed algorithm can hence be considered a multi-purpose tool to identify different perturbations (i.e., slippage and tripping). In this respect, it can be implemented for different wearable applications (e.g., smart garments or wearable robots) and adopted during daily life activities to enable on-demand injury prevention systems prior to fall impacts.
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10

Brezinski, Claude, and Michela Redivo–Zaglia. "The genesis and early developments of Aitken’s process, Shanks’ transformation, the ε–algorithm, and related fixed point methods." Numerical Algorithms 80, no. 1 (August 23, 2018): 11–133. http://dx.doi.org/10.1007/s11075-018-0567-2.

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11

Wang, Wenkang, Liancun Zhang, Juan Liu, Bainan Zhang, and Qiang Huang. "A real-time walking pattern recognition method for soft knee power assist wear." International Journal of Advanced Robotic Systems 17, no. 3 (May 1, 2020): 172988142092529. http://dx.doi.org/10.1177/1729881420925291.

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Real-time recognition of walking-related activities is an important function that lower extremity assistive devices should possess. This article presents a real-time walking pattern recognition method for soft knee power assist wear. The recognition method employs the rotation angles of thighs and shanks as well as the knee joint angles collected by the inertial measurement units as input signals and adopts the rule-based classification algorithm to achieve the real-time recognition of three most common walking patterns, that is, level-ground walking, stair ascent, and stair descent. To evaluate the recognition performance, 18 subjects are recruited in the experiments. During the experiments, subjects wear the knee power assist wear and carry out a series of walking activities in an out-of-lab scenario. The results show that the average recognition accuracy of three walking patterns reaches 98.2%, and the average recognition delay of all transitions is slightly less than one step.
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12

Key, Kerry. "Is the fast Hankel transform faster than quadrature?" GEOPHYSICS 77, no. 3 (May 1, 2012): F21—F30. http://dx.doi.org/10.1190/geo2011-0237.1.

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The fast Hankel transform (FHT) implemented with digital filters has been the algorithm of choice in EM geophysics for a few decades. However, other disciplines have predominantly relied on methods that break up the Hankel transform integral into a sum of partial integrals that are each evaluated with quadrature. The convergence of the partial sums is then accelerated through a nonlinear sequence transformation. While such a method was proposed for geophysics nearly three decades ago, it was demonstrated to be much slower than the FHT. This work revisits this problem by presenting a new algorithm named quadrature-with-extrapolation (QWE). The QWE method recasts the quadrature sum into a form conceptually similar to the FHT approach by using a fixed-point quadrature rule. The sum of partial integrals is efficiently accelerated using the Shanks transformation computed with Wynn’s [Formula: see text] algorithm. A Matlab implementation of the QWE algorithm is compared with the FHT method for accuracy and speed on a suite of relevant modeling problems including frequency-domain controlled-source EM, time-domain EM, and a large-loop magnetic source problem. Surprisingly, the QWE method is faster than the FHT for all three problems. However, when the integral needs to be evaluated at many offsets and the lagged convolution variant of the FHT is applicable, the FHT is significantly faster than the QWE method. For divergent integrals such as those encountered in the large loop problem, the QWE method can provide an accurate answer when the FHT method fails.
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13

Jorge-Botana, Guillermo, Ricardo Olmos, and José Antonio León. "Using Latent Semantic Analysis and the Predication Algorithm to Improve Extraction of Meanings from a Diagnostic Corpus." Spanish journal of psychology 12, no. 2 (November 2009): 424–40. http://dx.doi.org/10.1017/s1138741600001815.

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There is currently a widespread interest in indexing and extracting taxonomic information from large text collections. An example is the automatic categorization of informally written medical or psychological diagnoses, followed by the extraction of epidemiological information or even terms and structures needed to formulate guiding questions as an heuristic tool for helping doctors. Vector space models have been successfully used to this end (Lee, Cimino, Zhu, Sable, Shanker, Ely & Yu, 2006; Pakhomov, Buntrock & Chute, 2006). In this study we use a computational model known as Latent Semantic Analysis (LSA) on a diagnostic corpus with the aim of retrieving definitions (in the form of lists of semantic neighbors) of common structures it contains (e.g. “storm phobia”, “dog phobia”) or less common structures that might be formed by logical combinations of categories and diagnostic symptoms (e.g. “gun personality” or “germ personality”). In the quest to bring definitions into line with the meaning of structures and make them in some way representative, various problems commonly arise while recovering content using vector space models. We propose some approaches which bypass these problems, such as Kintsch's (2001) predication algorithm and some corrections to the way lists of neighbors are obtained, which have already been tested on semantic spaces in a non-specific domain (Jorge-Botana, León, Olmos & Hassan-Montero, under review). The results support the idea that the predication algorithm may also be useful for extracting more precise meanings of certain structures from scientific corpora, and that the introduction of some corrections based on vector length may increases its efficiency on non-representative terms.
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14

Su, Binbin, and Elena M. Gutierrez-Farewik. "Gait Trajectory and Gait Phase Prediction Based on an LSTM Network." Sensors 20, no. 24 (December 12, 2020): 7127. http://dx.doi.org/10.3390/s20247127.

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Lower body segment trajectory and gait phase prediction is crucial for the control of assistance-as-needed robotic devices, such as exoskeletons. In order for a powered exoskeleton with phase-based control to determine and provide proper assistance to the wearer during gait, we propose an approach to predict segment trajectories up to 200 ms ahead (angular velocity of the thigh, shank and foot segments) and five gait phases (loading response, mid-stance, terminal stance, preswing and swing), based on collected data from inertial measurement units placed on the thighs, shanks, and feet. The approach we propose is a long-short term memory (LSTM)-based network, a modified version of recurrent neural networks, which can learn order dependence in sequence prediction problems. The algorithm proposed has a weighted discount loss function that places more weight in predicting the next three to five time frames but also contributes to an overall prediction performance for up to 10 time frames. The LSTM model was designed to learn lower limb segment trajectories using training samples and was tested for generalization across participants. All predicted trajectories were strongly correlated with the measured trajectories, with correlation coefficients greater than 0.98. The proposed LSTM approach can also accurately predict the five gait phases, particularly swing phase with 95% accuracy in inter-subject implementation. The ability of the LSTM network to predict future gait trajectories and gait phases can be applied in designing exoskeleton controllers that can better compensate for system delays to smooth the transition between gait phases.
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15

Kang, Gu Eon, Hung Nguyen, Mohsen Zahiri, He Zhou, Changhong Wang, Rahul Goel, and Bijan Najafi. "CHARACTERISTICS OF THE GAIT INITIATION PHASE IN OLDER ADULTS WITH DIABETIC PERIPHERAL NEUROPATHY." Innovation in Aging 3, Supplement_1 (November 2019): S474. http://dx.doi.org/10.1093/geroni/igz038.1765.

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Abstract Impairment in steady-state gait in older adults with diabetic peripheral neuropathy (OADPN) is well-known, however little attention has been paid to the gait initiation phase in which postural transitions occur from upright standing to steady-state gait. Given the risk of falls in the gait initiation phase in older adults, knowing its characteristics may be as important as steady-state gait. The aim of this study was to investigate kinematic characteristics of the gait initiation phase in OADPN compared to healthy older adults (HOA). Thirteen OADPN (72.9±6.1 years; 33.0±4.8 kg/m2), and 11 HOA (71.8±2.7 years; 26.5±4.3 kg/m2; no cardiovascular, neurological or orthopedic condition, no history of falling) performed gait on level ground for minimum 10 meters at self-selected comfortable speed. We collected kinematic data using five wearable sensors (LEGSysTM, BioSensics LLC, Watertown, MA) attached on the shanks, thighs and lower back. We used previously validated algorithm to analyze kinematic parameters for the gait initiation phase. Our statistical model showed that the number of steps, stride velocity, gait cycle time, double limb support and mediolateral center-of-mass sway during the gait initiation phase is significantly different between HOA (2.4±0.7 steps; 1.16±0.15 m/s; 1.12±0.10 seconds; 20.3±4.8%; 4.0±1.5°, respectively) and OADPN (4.0±2.1 steps; 0.92±0.29 m/s; 1.23±0.12 seconds; 29.2±10.3%; 7.0±2.9°, respectively) (all p&lt;0.05). The results suggest that OADPN take more, slower and more unstable steps to reach steady-state gait from upright standing compared to HOA. The results also provide implications for needs to develop new interventions targeting the gait initiation phase in OADPN.
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Kang, Gu Eon, Jacqueline Yang, He Zhou, Changhong Wang, Bareera Akhtar, Brian xu, Guillermo Beckmann, and Bijan Najafi. "GAIT UNSTEADINESS AS AN INDICATOR OF COGNITIVE STATUS IN INDIVIDUALS WITH PERIPHERAL NEUROPATHY." Innovation in Aging 3, Supplement_1 (November 2019): S845. http://dx.doi.org/10.1093/geroni/igz038.3110.

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Abstract Neuropathic individuals are at risk of falls, however potential impact of cognitive impairment in neuropathic individuals is not well-understood. Since cognitive impairment is considered an independent risk factor for falls, knowing its potential, additional impact may help better understand underlying mechanism of risk of falls in neuropathic individuals. We aimed to investigate stride-to-stride variability in neuropathic individuals with cognitive impairment (NP-Cog-Impaired) and without cognitive impairment (NP-Cog-Intact) during normal and dual-task walking. Neuropathic symptoms and cognitive status was measured using maximum vibration perception threshold (VPTmax) in the feet and the Montreal Cognitive Assessment (MoCA), respectively. We analyzed data from 19 NP-Cog-Impaired (8 men; 68.5±9.1 years; 29.0±6.2 kg/m2; VPTmax=27.2±12.1 volts; MoCA=19.6±2.4) and 25 NP-Cog-Intact (15 men; 66.5±9.1 years; 31.3±5.9 kg/m2; VPTmax=26.3±12.7 volts; MoCA=25.6±1.6). We collected movement data using five inertial sensors (LEGSysTM, BioSensics LLC, Watertown, MA) attached on the shanks, thighs and lower back. We used previously validated algorithm to calculate coefficient of variations (CV) of stride velocity and stride length. CV of stride velocity and stride length were significantly greater for the NP-Cog-Impaired group (11.07±5.22% and 7.31±3.20%, respectively) than for the NP-Cog-Intact group (7.31±3.20% and 4.81±2.80%, respectively) for dual-task walking but not for normal walking. Between normal and dual-task walking, CV of stride velocity and stride length increased 43.2% (significantly) and 46.4% (marginally), respectively, from normal walking to dual-task walking for the NP-Cog-Impaired group but not for the NP-Cog-Intact group. Results suggest that cognitive impairment may be an additional risk factor of falls in neuropathic individuals.
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Wang, S. W., H. C. He, B. L. Fu, and H. L. Sun. "ANALYSIS OF TEMPORAL AND SPATIAL CHARACTERISTICS OF MANGROVE PHYSIOLOGICAL STRUCTURE PARAMETERS QUANTITATIVE INVERSION BASED ON TIME SERIES SENTINEL-2 &#8211; TAKING SHANKOU MANGROVE NATURE RESERVE AS AN EXAMPLE." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-3/W10 (February 7, 2020): 487–94. http://dx.doi.org/10.5194/isprs-archives-xlii-3-w10-487-2020.

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Abstract. The physiological structure parameter of vegetation is an important index to measure the ecological health status of mangroves, and it is of great value to measure the ecological health status. Taking Shankou Mangrove Nature Reserve of Guangxi as the study area, The Chlorophyll-A/B(CAB),Leaf Area Index (LAI),Fractional Vegetation Cover (FVC) and Fraction of absorbed photo synthetically active radiation (FAPAR) were calculated by using Sentinel-2 image data to calculate the chlorophyll content of mangrove vegetation in the study area. The BP neural network algorithm is used to verify the accuracy difference between the inversion results and the corresponding products of MODIS, and the dynamic changes of physiological structure parameters of vegetation in mangroves are further studied. Results showed that: (1)The correlation coefficients between LAI, CAB, FAPAR, FVC and MODIS products were higher than 0.71 in 95% confidence interval in mangrove years, it is proved that Sentinel-2A/B multispectral image inversion of mangrove physiological structure parameters has high accuracy and quality. (2)The physiological structure parameters of mangroves fluctuated during the year. In February, the lowest values of LAI, CAB, FAPAR and FVC were 0.30, 0.08, 0.08 and 0.13, respectively. The highest values were 0.69 in October, 0.29 in December, 0.27 in August, 0.40 in April, 0.24 and 0.24 in September, and 0.27 and 0.33 in LAI in November, respectively, with the highest LAI in October, 0.29 in December, 0.27 in August, 0.40 in April, 0.24 and 0.24 in September, and 0.27 and 0.33 in November. The results provide the basis for the monitoring of mangrove vegetation change and provide a reference for ecological assessment and protection.
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18

D’Amico, Ronald, Paul Benn, Shanker Thiagarajah, Susan L. Ford, Eileen Birmingham, Ojesh R. Upadhyay, Louise Garside, Rodica Van Solingen-Ristea, Kati Vandermeulen, and William Spreen. "833. Efficacy and Safety of Long-Acting Cabotegravir + Rilpivirine in Participants with HIV/HCV Co-infection: ATLAS-2M 48-Week Results." Open Forum Infectious Diseases 8, Supplement_1 (November 1, 2021): S508—S509. http://dx.doi.org/10.1093/ofid/ofab466.1029.

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Abstract Background The phase IIIb ATLAS-2M study demonstrated non-inferiority of long-acting (LA) cabotegravir (CAB) + rilpivirine (RPV) dosed every 8 weeks (Q8W) compared with every 4 weeks (Q4W) for maintenance of virologic suppression. Hepatitis C virus (HCV) co-infection occurs in ~6% of people with HIV due to shared modes of transmission. We report efficacy and safety of CAB + RPV LA in participants with HIV/HCV co-infection in ATLAS-2M. Methods Participants with HIV-1 RNA &lt; 50 c/mL receiving CAB + RPV LA Q4W (transitioned from ATLAS [NCT02951052]) or oral comparator ART were randomized 1:1 to receive CAB + RPV LA Q4W or Q8W. Baseline HCV RNA was assessed by polymerase chain reaction. Participants with symptomatic chronic HCV infection requiring treatment within 12 months or liver enzymes not meeting entry criteria were excluded. Week 48 assessments included proportion with HIV-1 RNA ≥50 and &lt; 50 c/mL (Snapshot algorithm), general and hepatic safety, and pharmacokinetics. Results HIV/HCV co-infection was present in 10 (1%) of 1045 participants, 60% of whom were female at birth. At Week 48, 9/10 (90%) and 972/1035 (94%) participants with HIV/HCV co-infection and HIV mono-infection, respectively, had HIV-1 RNA &lt; 50 c/mL (adjusted difference, 4.1; 95% CI, −14.5 to 22.6). No participants with HIV/HCV co-infection had HIV-1 RNA ≥50 c/mL (vs 14/1035 [1%] with HIV mono-infection) or confirmed virologic failure through Week 48 (vs 10 [1%] with HIV mono-infection); 1/10 (10%) discontinued for reasons other than adverse events (AEs). Excluding injection site reactions (ISRs), AEs and serious AEs were reported in 4 (40%) and 0 participants with HIV/HCV co-infection, respectively; the only AE reported in &gt;1 participant was injection site pain (n=5; 50%). In participants with HIV/HCV co-infection, all ISRs were grade 1/2; none led to withdrawal. No hepatic laboratory abnormalities were reported in participants with HIV/HCV co-infection through Week 48; rates were low in those with HIV mono-infection (Table). Plasma CAB and RPV concentrations were similar between groups. Conclusion CAB + RPV LA was effective and well tolerated in this small cohort of participants with HIV and asymptomatic HCV co-infection. Disclosures Ronald D’Amico, DO, MSc, GlaxoSmithKline (Shareholder)ViiV Healthcare (Employee) Paul Benn, MB ChB FRCP, ViiV Healthcare (Employee) Shanker Thiagarajah, MB ChB, GlaxoSmithKline (Employee, Shareholder) Susan L. Ford, PharmD, GlaxoSmithKline (Shareholder)ViiV Healthcare (Employee) Eileen Birmingham, MD, MPH, Janssen Research and Development (Employee, Shareholder) Ojesh R. Upadhyay, MPH, MBA, GlaxoSmithKline (Employee) Louise Garside, PhD, GlaxoSmithKline (Employee) Rodica Van Solingen-Ristea, MD, Janssen Research and Development (Employee)ViiV Healthcare (Employee) Kati Vandermeulen, M.SC., Janssen Research and Development (Employee) William Spreen, PharmD, GlaxoSmithKline (Shareholder)ViiV Healthcare (Employee)
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Sarkar, Palash. "Computing square roots faster than the Tonelli-Shanks/Bernstein algorithm." Advances in Mathematics of Communications, 2022, 0. http://dx.doi.org/10.3934/amc.2022007.

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<p style='text-indent:20px;'>Let <inline-formula><tex-math id="M1">\begin{document}$ p $\end{document}</tex-math></inline-formula> be a prime such that <inline-formula><tex-math id="M2">\begin{document}$ p = 1+2^nm $\end{document}</tex-math></inline-formula>, where <inline-formula><tex-math id="M3">\begin{document}$ n\geq 1 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M4">\begin{document}$ m $\end{document}</tex-math></inline-formula> is odd. Given a square <inline-formula><tex-math id="M5">\begin{document}$ u $\end{document}</tex-math></inline-formula> in <inline-formula><tex-math id="M6">\begin{document}$ \mathbb{Z}_p $\end{document}</tex-math></inline-formula> and a non-square <inline-formula><tex-math id="M7">\begin{document}$ z $\end{document}</tex-math></inline-formula> in <inline-formula><tex-math id="M8">\begin{document}$ \mathbb{Z}_p $\end{document}</tex-math></inline-formula>, we describe an algorithm to compute a square root of <inline-formula><tex-math id="M9">\begin{document}$ u $\end{document}</tex-math></inline-formula> which requires <inline-formula><tex-math id="M10">\begin{document}$ \mathfrak{T}+O(n^{3/2}) $\end{document}</tex-math></inline-formula> operations (i.e., squarings and multiplications), where <inline-formula><tex-math id="M11">\begin{document}$ \mathfrak{T} $\end{document}</tex-math></inline-formula> is the number of operations required to exponentiate an element of <inline-formula><tex-math id="M12">\begin{document}$ \mathbb{Z}_p $\end{document}</tex-math></inline-formula> to the power <inline-formula><tex-math id="M13">\begin{document}$ (m-1)/2 $\end{document}</tex-math></inline-formula>. This improves upon the Tonelli-Shanks (TS) algorithm which requires <inline-formula><tex-math id="M14">\begin{document}$ \mathfrak{T}+O(n^{2}) $\end{document}</tex-math></inline-formula> operations. Bernstein had proposed a table look-up based variant of the TS algorithm which requires <inline-formula><tex-math id="M15">\begin{document}$ \mathfrak{T}+O((n/w)^{2}) $\end{document}</tex-math></inline-formula> operations and <inline-formula><tex-math id="M16">\begin{document}$ O(2^wn/w) $\end{document}</tex-math></inline-formula> storage, where <inline-formula><tex-math id="M17">\begin{document}$ w $\end{document}</tex-math></inline-formula> is a parameter. A table look-up variant of the new algorithm requires <inline-formula><tex-math id="M18">\begin{document}$ \mathfrak{T}+O((n/w)^{3/2}) $\end{document}</tex-math></inline-formula> operations and the same storage. In concrete terms, the new algorithm is shown to require significantly fewer operations for particular values of <inline-formula><tex-math id="M19">\begin{document}$ n $\end{document}</tex-math></inline-formula>.</p>
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20

"Socio-Inspired Optimization of Cutting Force in Micro Drilling of CFRP Composites for Aerospace Applications." International Journal of Innovative Technology and Exploring Engineering 9, no. 2 (December 10, 2019): 43–47. http://dx.doi.org/10.35940/ijitee.a4770.129219.

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The aim of this paper is to apply socio-inspired Cohort Intelligence algorithm for the minimization of forces(cutting) induced in micro drilling machining of composite materials for aerospace applications. Three objective functions developed by Ravi Shankar Anand and Karali Patra are being used. These objective functions are forces in radial directions and thrust force.. Four variations of CI namely Follow Best, Roulette Wheel Follow Better, and Alienation have been applied. The variations of CI was coded in MATLAB (R2016a). The results are compared with experimental work. The results obtained are much better than already available results giving significant drop in cutting forces and thereby power consumption and ultimately improvement in hole quality. As a future direction, other metaheuristics, socio based algorithms can be applied for solving the problem. Also, variations of Cohort Intelligence can be applied for constrained problems.
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21

Rogers, Ian Keith. "Without a True North: Tactical Approaches to Self-Published Fiction." M/C Journal 20, no. 6 (December 31, 2017). http://dx.doi.org/10.5204/mcj.1320.

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IntroductionOver three days in November 2017, 400 people gathered for a conference at the Sam’s Town Hotel and Gambling Hall in Las Vegas, Nevada. The majority of attendees were fiction authors but the conference program looked like no ordinary writer’s festival; there were no in-conversation interviews with celebrity authors, no panels on the politics of the book industry and no books launched or promoted. Instead, this was a gathering called 20Books2017, a self-publishing conference about the business of fiction ebooks and there was expertise in the room.Among those attending, 50 reportedly earned over $100,000 US per annum, with four said to be earning in excess of $1,000,000 US year. Yet none of these authors are household names. Their work is not adapted to film or television. Their books cannot be found on the shelves of brick-and-mortar bookstores. For the most part, these authors go unrepresented by the publishing industry and literary agencies, and further to which, only a fraction have ever actively pursued traditional publishing. Instead, they write for and sell into a commercial fiction market dominated by a single retailer and publisher: online retailer Amazon.While the online ebook market can be dynamic and lucrative, it can also be chaotic. Unlike the traditional publishing industry—an industry almost stoically adherent to various gatekeeping processes: an influential agent-class, formalized education pathways, geographic demarcations of curatorial power (see Thompson)—the nascent ebook market is unmapped and still somewhat ungoverned. As will be discussed below, even the markets directly engineered by Amazon are subject to rapid change and upheaval. It can be a space with shifting boundaries and thus, for many in the traditional industry both Amazon and self-publishing come to represent a type of encroaching northern dread.In the eyes of the traditional industry, digital self-publishing certainly conforms to the barbarous north of European literary metaphor: Orwell’s ‘real ugliness of industrialism’ (94) governed by the abject lawlessness of David Peace’s Yorkshire noir (Fowler). But for adherents within the day-to-day of self-publishing, this unruly space also provides the frontiers and gold-rushes of American West mythology.What remains uncertain is the future of both the traditional and the self-publishing sectors and the degree to which they will eventually merge, overlap and/or co-exist. So-called ‘hybrid-authors’ (those self-publishing and involved in traditional publication) are becoming increasingly common—especially in genre fiction—but the disruption brought about by self-publishing and ebooks appears far from complete.To the contrary, the Amazon-led ebook iteration of this market is relatively new. While self-publishing and independent publishing have long histories as modes of production, Amazon launched both its Kindle e-reader device and its marketplace Kindle Direct Publishing (KDP) a little over a decade ago. In the years subsequent, the integration of KDP within the Amazon retail environment dramatically altered the digital self-publishing landscape, effectively paving the way for competing platforms (Kobo, Nook, iBooks, GooglePlay) and today’s vibrant—and, at times, crassly commercial—self-published fiction communities.As a result, the self-publishing market has experienced rapid growth: self-publishers now collectively hold the largest share of fiction sales within Amazon’s ebook categories, as much as 35% of the total market (Howey). Contrary to popular belief they do not reside entirely at the bottom of Amazon’s expansive catalogue either: at the time of writing, 11 of Amazon’s Top 50 Bestsellers were self-published and the median estimated monthly revenue generated by these ‘indie’ books was $43,000 USD / month (per author) on the American site alone (KindleSpy).This international publishing market now proffers authors running the gamut of commercial uptake, from millionaire successes like romance writer H.M. Ward and thriller author Mark Dawson, through to the 19% of self-published authors who listed their annual royalty income as $0 per annum (Weinberg). Their overall market share remains small—as little as 1.8% of trade publishing in the US as a whole (McIlroy 4)—but the high end of this lucrative slice is particularly dynamic: science fiction author Michael Anderle (and 20Books2017 keynote) is on-track to become a seven-figure author in his second year of publishing (based on Amazon sales ranking data), thriller author Mark Dawson has sold over 300,000 copies of his self-published Milton series in 3 years (McGregor), and a slew of similar authors have recently attained New York Times and US Today bestseller status.To date, there is not a broad range of scholarship investigating the operational logics of self-published fiction. Timothy Laquintano’s recent Mass Authorship and the Rise of Self-Publishing (2016) is a notable exception, drawing self-publishing into historical debates surrounding intellectual property, the future of the book and digital abundance. The more empirical portions of Mass Authorship—taken from activity between 2011 to 2015—directly informs this research and his chapter on Amazon (Chapter 4) could be read as a more macro companion to my findings below; taken together and compared they illustrate just how fast-moving the market is. Nick Levey’s work on ‘post-press’ literature and its inherent risks (and discourses of cultural capitol) also informs my thesis here.In addition to which, there is scholarship centred on publishing more generally that also touches on self-published writers as a category of practitioner (see Baverstock and Steinitz, Haughland, Thomlinson and Bélanger). Most of this later work focuses almost entirely on the finished product, usually situating self-publishing as directly oppositional to traditional publishing, and thus subordinating it.In this paper, I hope to outline how the self-publishers I’ve observed have enacted various tactical approaches that specifically strive to tame their chaotic marketplace, and to indicate—through one case study (Amazon exclusivity)—a site of production and resistance where they have occasionally succeeded. Their approach is one that values information sharing and an open-source approach to book-selling and writing craft, ideologies drawn more from the tech / start-up world than commercial book industry described by Thompson (10). It is a space deeply informed by the virtual nature of its major platforms and as such, I argue its relation to the world of traditional publishing—and its representation within the traditional book industry—are tenuous, despite the central role of authorship and books.Making the Virtual Self-Publishing SceneWithin the study of popular music, the use of Barry Shank and Will Straw’s ‘scene’ concept has been an essential tool for uncovering and mapping independent/DIY creative practice. The term scene, defined by Straw as cultural space, is primarily interested in how cultural phenomena articulates or announces itself. A step beyond community, scene theorists are less concerned with examining an evolving history of practice (deemed essentialist) than they are concerned with focusing on the “making and remaking of alliances” as the crucial process whereby communal culture is formed, expressed and distributed (370).A scene’s spatial dimension—often categorized as local, translocal or virtual (see Bennett and Peterson)—demands attention be paid to hybridization, as a diversity of actors approach the same terrain from differing vantage points, with distinct motivations. As a research tool, scene can map action as the material existence of ideology. Thus, its particular usefulness is its ability to draw findings from diverse communities of practice.Drawing methodologies and approaches from Bourdieu’s field theory—a particularly resonant lens for examining cultural work—and de Certeau’s philosophies of space and circumstantial moves (“failed and successful attempts at redirection within a given terrain,” 375), scene focuses on articulation, the process whereby individual and communal activity becomes an observable or relatable or recordable phenomena.Within my previous work (see Bennett and Rogers, Rogers), I’ve used scene to map a variety of independent music-making practices and can see clear resemblances between independent music-making and the growing assemblage of writers within ebook self-publishing. The democratizing impulses espoused by self-publishers (the removal of gatekeepers as married to visions of a fiction/labour meritocracy) marry up quite neatly with the heady mix of separatism and entrepreneurialism inherent in Australian underground music.Self-publishers are typically older and typically more upfront about profit, but the communal interaction—the trade and gifting of support, resources and information—looks decidedly similar. Instead, the self-publishers appear different in one key regard: their scene-making is virtual in ways that far outstrip empirical examples drawn from popular music. 20Books2017 is only one of two conferences for this community thus far and represents one of the few occasions in which the community has met in any sort of organized way offline. For the most part, and in the day-to-day, self-publishing is a virtual scene.At present, the virtual space of self-published fiction is centralized around two digital platforms. Firstly, there is the online message board, of which two specific online destinations are key: the first is Kboards, a PHP-coded forum “devoted to all things Kindle” (Kboards) but including a huge author sub-board of self-published writers. The archive of this board amounts to almost two million posts spanning back to 2009. The second message board site is a collection of Facebook groups, of which the 10,000-strong membership of 20BooksTo50K is the most dominant; it is the originating home of 20Books2017.The other platform constituting the virtual scene of self-publishing is that of podcasting. While there are a number of high-profile static websites and blogs related to self-publishing (and an emerging community of vloggers), these pale in breadth and interaction when compared to podcasts such as The Creative Penn, The Self-Publishing Podcast, The Sell More Books Show, Rocking Self-Publishing (now defunct but archived) and The Self-Publishing Formula podcast. Statistical information on the distribution of these podcasts is unavailable but the circulation and online discussion of their content and the interrelation between the different shows and their hosts and guests all point to their currency within the scene.In short, if one is to learn about the business and craft production modes of self-publishing, one tends to discover and interact with one of these two platforms. The consensus best practice espoused on these boards and podcasts is the data set in which the remainder of this paper draws findings. I have spent the last two years embedded in these communities but for the purposes of this paper I will be drawing data exclusively from the public-facing Kboards, namely because it is the oldest, most established site, but also because all of the issues and discussion presented within this data have been cross-referenced across the different podcasts and boards. In fact, for a long period Kboards was so central to the scene that itself was often the topic of conversation elsewhere.Sticking in the Algorithm: The Best Practice of Fiction Self-PublishingSelf-publishing is a virtual scene because its “constellation of divergent interests and forces” (Shank, Preface, x) occur almost entirely online. This is not just a case of discussion, collaboration and discovery occurring online—as with the virtual layer of local and translocal music scenes—rather, the self-publishing community produces into the online space, almost exclusively. Its venues and distribution pathways are online and while its production mechanisms (writing) are still physical, there is an almost instantaneous and continuous interface with the online. These writers type and, increasingly dictate, their work into the virtual cloud, have it edited there (via in-text annotation) and from there the work is often designed, formatted, published, sold, marketed, reviewed and discussed online.In addition to which, a significant portion of these writers produce collaborative works, co-writing novels and co-editing them via cooperative apps. Teams of beta-readers (often fans) work on manuscripts pre-launch. Covers, blurbs, log lines, ad copy and novel openings are tested and reconfigured via crowd-sourced opinion. Seen here, the writing of the self-publishing scene is often explicitly commercial. But more to the fact, it never denies its direct co-relation with the mandates of online publishing. It is not traditional writing (it moves beyond authorship) and viewing these writers as emerging or unpublished or indeed, using the existing vernacular of literary writing practices, often fails to capture what it is they do.As the self-publishers write for the online space, Amazon forms a huge part of their thinking and working. The site sits at the heart of the practices under consideration here. Many of the authors drawn into this research are ‘wide’ in their online retail distribution, meaning they have books placed with Amazon’s online retail competitors. Yet the decision to go ‘wide’ or stay exclusive to Amazon — and the volume of discussion around this choice — is illustrative of how dominant the company remains in the scene. In fact, the example of Amazon exclusivity provides a valuable case-study.For self-publishers, Amazon exclusivity brings two stated and tangible benefits. The first relates to revenue diversification within Amazon, with exclusivity delivering an additional revenue stream in the form of Kindle Unlimited royalties. Kindle Unlimited (KU) is a subscription service for ebooks. Consumers pay a flat monthly fee ($13.99 AUD) for unlimited access to over a million Kindle titles. For a 300-page book, a full read-through of a novel under KU pays roughly the same royalty to authors as the sale of a $2.99 ebook, but only to Amazon-exclusive authors. If an exclusive book is particularly well suited to the KU audience, this can present authors with a very serious return.The second benefit of Amazon exclusivity is access to internal site merchandising; namely ‘Free Days’ where the book is given away (and can chart on the various ‘Top 100 Free’ leaderboards) and ‘Countdown Deals’ where a decreasing discount is staggered across a period (thus creating a type of scarcity).These two perks can prove particularly lucrative to individual authors. On Kboards, user Annie Jocoby (also writing as Rachel Sinclair) details her experiences with exclusivity:I have a legal thriller series that is all-in with KU [Kindle Unlimited], and I can honestly say that KU has been fantastic for visibility for that particular series. I put the books into KU in the first part of August, and I watched my rankings rise like crazy after I did that. They've stuck, too. If I weren't in KU, I doubt that they would still be sticking as well as they have. (anniejocoby)This is fairly typical of the positive responses to exclusivity, yet it incorporates a number of the more opaque benefits entangled with going exclusive to Amazon.First, there is ‘visibility.’ In self-publishing terms, ‘visibility’ refers almost exclusively to chart positions within Amazon. The myriad of charts — and how they function — is beyond the scope of this paper but they absolutely indicate — often dictate — the discoverability of a book online. These charts are the ‘front windows’ of Amazon, to use an analogy to brick-and-mortar bookstores. Books that chart well are actively being bought by customers and they are very often those benefiting from Amazon’s powerful recommendation algorithm, something that expands beyond the site into the company’s expansive customer email list. This brings us to the second point Jocoby mentions, the ‘sticking’ within the charts.There is a widely held belief that once a good book (read: free of errors, broadly entertaining, on genre) finds its way into the Amazon recommendation algorithm, it can remain there for long periods of time leading to a building success as sales beget sales, further boosting the book’s chart performance and reviews. There is also the belief among some authors that Kindle Unlimited books are actively favoured by this algorithm. The high-selling Amanda M. Lee noted a direct correlation:Rank is affected when people borrow your book [under KU]. Page reads don't play into it all. (Amanda M. Lee)Within the same thread, USA Today bestseller Annie Bellet elaborated:We tested this a bunch when KU 2.0 hit. A page read does zip for rank. A borrow, even with no pages read, is what prompts the rank change. Borrows are weighted exactly like sales from what we could tell, it doesn't matter if nobody opens the book ever. All borrows now are ghost borrows, of course, since we can't see them anymore, so it might look like pages are coming in and your rank is changing, but what is probably happening is someone borrowed your book around the same time, causing the rank jump. (Annie B)Whether this advantage is built into the algorithm in a (likely) attempt to favour exclusive authors, or by nature of KU books presenting at a lower price point, is unknown but there is anecdotal evidence that once a KU book gains traction, it can ‘stick’ within the charts for longer periods of time compared to non-exclusive titles.At the entrepreneurial end of the fiction self-publishing scene, Amazon is positioned at the very centre. To go wide—to follow vectors through the scene adjacent to Amazon — is to go around the commercial centre and its profits. Yet no one in this community remains unaffected by the strategic position of this site and the market it has either created or captured. Amazon’s institutional practices can be adopted by competitors (Kobo Plus is a version of KU) and the multitude of tactics authors use to promote their work all, in one shape or another, lead back to ‘circumstantial moves’ learned from Amazon or services that are aimed at promoting work sold there. Further to which, the sense of instability and risk engendered by such a dominant market player is felt everywhere.Some Closing Ideas on the Ideology of Self-PublishingSelf-publishing fiction remains tactical in the de Certeau sense of the term. It is responsive and ever-shifting, with a touch of communal complicity and what he calls la perruque (‘the wig’), a shorthand for resistance that presents itself as submission (25). The entrepreneurialism of self-published fiction trades off this sense of the tactical.Within the scene, Amazon bestseller charts aren’t as much markers of prestige as systems to be hacked. The choice between ‘wide’ and exclusive is only ever short-term; it is carefully scrutinised and the trade-offs and opportunities are monitored week-to-week and debated constantly online. Over time, the self-publishing scene has become expert at decoding Amazon’s monolithic Terms of Service, ever eager to find both advantage and risk as they attempt to lever the affordances of digital publishing against their own desire for profit and expression.This sense of mischief and slippage forms a big part of what self-publishing is. In contrast to traditional publishing—with its long lead times and physical real estate—self-publishing can’t help but appear fragile, wild and coarse. There is no other comparison possible.To survive in self-publishing is to survive outside the established book industry and to thrive within a new and far more uncertain market/space, one almost entirely without a mapped topology. Unlike the traditional publishing industry—very much a legacy, a “relatively stable” population group (Straw 373)—self-publishing cannot escape its otherness, not in the short term. Both its spatial coordinates and its pathways remain too fast-evolving in comparison to the referent of traditional publishing. In the short-to-medium term, I imagine it will remain at some cultural remove from traditional publishing, be it perceived as a threatening northern force or a speculative west.To see self-publishing in the present, I encourage scholars to step away from traditional publishing industry protocols and frameworks, to strive to see this new arena as the self-published authors themselves understand it (what Muggleton has referred to a “indigenous meaning” 13).Straw and Shank’s scene concept provides one possible conceptual framework for this shift in understanding as scene’s reliance on spatial considerations harbours an often underemphazised asset: it is a theory of orientation. At heart, it draws as much from de Certeau as Bourdieu and as such, the scene presented in this work is never complete or fixed. It is de Certeau’s city “shaped out of fragments of trajectories and alterations of spaces” (93). These scenes—be they musicians or authors—are only ever glimpsed and from a vantage point of close proximity. In short, it is one way out of the essentialisms that currently shroud self-published fiction as a craft, business and community of authors. The cultural space of self-publishing, to return Straw’s scene definition, is one that mirrors its own porous, online infrastructure, its own predominance in virtuality. Its pathways are coded together inside fast-moving media companies and these pathways are increasingly entwined within algorithmic processes of curation that promise meritocratization and disintermediation yet delivery systems that can be learned and manipulated.The agility to publish within these systems is the true skill-set required to self-publish fiction online. It traverses specific platforms and short-term eras. It is the core attribute of success in the scene. Everything else is secondary, including the content of the books produced. It is not the case that these books are of lesser literary quality or that their ever-growing abundance is threatening—this is the counter-argument so often presented by the traditional book industry—but more so that without entrepreneurial agility, the quality of the ebook goes undetermined as it sinks lower and lower into a distribution system that is so open it appears endless.ReferencesAmanda M. Lee. “Re: KU Page Reads and Rank.” Kboards: Writer’s Cafe. 1 Oct. 2007 <https://www.kboards.com/index.php/topic,232945.msg3245005.html#msg3245005>.Annie B [Annie Bellet]. “Re: KU Page Reads and Rank.” Kboards: Writer’s Cafe. 1 Oct. 2007 <https://www.kboards.com/index.php/topic,232945.msg3245068.html#msg3245068>.Anniejocoby [Annie Jocoby]. “Re: Tell Me Why You're WIDE or KU ONLY.” Kboards: Writer’s Cafe. 1 Oct. 2007 <https://www.kboards.com/index.php/topic,242514.msg3558176.html#msg3558176>.Baverstock, Alison, and Jackie Steinitz. “Why Are the Self-Publishers?” Learned Publishing 26 (2013): 211-223.Bennett, Andy, and Richard A. Peterson, eds. Music Scenes: Local, Translocal and Virtual. Vanderbilt University Press, 2004.———, and Ian Rogers. Popular Music Scenes and Cultural Memory. Palgrave Macmillan, 2016.Bourdieu, Pierre. Distinction: A Social Critique of the Judgement of Taste. Routledge, 1984.De Certeau, Michel. The Practice of Everyday Life. University of California Press, 1984.Haugland, Ann. “Opening the Gates: Print On-Demand Publishing as Cultural Production” Publishing Research Quarterly 22.3 (2006): 3-16.Howey, Hugh. “October 2016 Author Earnings Report: A Turning of the Tide.” Author Earnings. 12 Oct. 2016 <http://authorearnings.com/report/october-2016/>.Kboards. About Kboards.com. 2017. 4 Oct. 2017 <https://www.kboards.com/index.php/topic,242026.0.html>.KindleSpy. 2017. Chrome plug-in.Laquintano, Timothy. Mass Authorship and the Rise of Self-Publishing. University of Iowa Press, 2016.Levey, Nick. “Post-Press Literature: Self-Published Authors in the Literary Field.” Post 45. 1 Oct. 2017 <http://post45.research.yale.edu/2016/02/post-press-literature-self-published-authors-in-the-literary-field-3/>.McGregor, Jay. “Amazon Pays $450,000 a Year to This Self-Published Writer.” Forbes. 17 Apr. 2017 <http://www.forbes.com/sites/jaymcgregor/2015/04/17/mark-dawson-made-750000-from-self-published-amazon-books/#bcce23a35e38>.McIlroy, Thad. “Startups within the U.S. Book Publishing Industry.” Publishing Research Quarterly 33 (2017): 1-9.Muggleton, David. Inside Subculture: The Post-Modern Meaning of Style. Berg, 2000.Orwell, George. Selected Essays. Penguin Books, 1960.Fowler, Dawn. ‘‘This Is the North – We Do What We Want’: The Red Riding Trilogy as ‘Yorkshire Noir.” Cops on the Box. University of Glamorgan, 2013.Rogers, Ian. “The Hobbyist Majority and the Mainstream Fringe: The Pathways of Independent Music Making in Brisbane, Australia.” Redefining Mainstream Popular Music, eds. Andy Bennett, Sarah Baker, and Jodie Taylor. Routlegde, 2013. 162-173.Shank, Barry. Dissonant Identities: The Rock’n’Roll Scene in Austin Texas. Wesleyan University Press, 1994.Straw, Will. “Systems of Articulation, Logics of Change: Communities and Scenes in Popular Music.” Cultural Studies 5.3 (1991): 368–88.Thomlinson, Adam, and Pierre C. Bélanger. “Authors’ Views of e-Book Self-Publishing: The Role of Symbolic Capital Risk.” Publishing Research Quarterly 31 (2015): 306-316.Thompson, John B. Merchants of Culture: The Publishing Business in the Twenty-First Century. Penguin, 2012.Weinberg, Dana Beth. “The Self-Publishing Debate: A Social Scientist Separates Fact from Fiction.” Digital Book World. 3 Oct. 2017 <http://www.digitalbookworld.com/2013/self-publishing-debate-part3/>.
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