Progression

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Megan Colas - One of the best experts on this subject based on the ideXlab platform.

  • comparing acute bouts of sagittal plane Progression foam rolling vs frontal plane Progression foam rolling
    Journal of Strength and Conditioning Research, 2015
    Co-Authors: Corey A Peacock, Darren D Krein, Jose Antonio, Gabriel J Sanders, Tobin Silver, Megan Colas
    Abstract:

    Many strength and conditioning professionals have included the use of foam rolling devices within a warm-up routine prior to both training and competition. Multiple studies have investigated foam rolling in regards to performance, flexibility, and rehabilitation; however, additional research is necessary in supporting the topic. Furthermore, as multiple foam rolling Progressions exist, researching differences that may result from each is required. To investigate differences in foam rolling Progressions, 16 athletically trained males underwent a 2-condition within-subjects protocol comparing the differences of 2 common foam rolling Progressions in regards to performance testing. The 2 conditions included a foam rolling Progression targeting the mediolateral axis of the body (FRml) and foam rolling Progression targeting the anteroposterior axis (FRap). Each was administered in adjunct with a full-body dynamic warm-up. After each rolling Progression, subjects performed National Football League combine drills, flexibility, and subjective scaling measures. The data demonstrated that FRml was effective at improving flexibility (p <= 0.05) when compared with FRap. No other differences existed between Progressions.

Dustin Moody - One of the best experts on this subject based on the ideXlab platform.

  • GEOMETRIC ProgressionS ON ELLIPTIC CURVES.
    Glasnik matematicki, 2017
    Co-Authors: Abdoul Aziz Ciss, Dustin Moody
    Abstract:

    In this paper, we look at long geometric Progressions on different model of elliptic curves, namely Weierstrass curves, Edwards and twisted Edwards curves, Huff curves and general quartics curves. By a geometric Progression on an elliptic curve, we mean the existence of rational points on the curve whose x-coordinate (or y-coordinate) are in geometric Progression. We find infinite families of twisted Edwards curves and Huff curves with geometric Progressions of length 5, an infinite family of Weierstrass curves with 8 term Progressions, as well as infinite families of quartic curves containing 10-term geometric Progressions.

  • Arithmetic Progressions on Conics.
    Journal of integer sequences, 2016
    Co-Authors: Abdoul Aziz Ciss, Dustin Moody
    Abstract:

    In this paper, we look at long arithmetic Progressions on conics. By an arithmetic Progression on a curve, we mean the existence of rational points on the curve whose x-coordinates are in arithmetic Progression. We revisit arithmetic Progressions on the unit circle, constructing 3-term Progressions of points in the first quadrant containing an arbitrary rational point on the unit circle. We also provide infinite families of three term Progressions on the unit hyperbola, as well as conics ax2 + cy2 = 1 containing arithmetic Progressions as long as 8 terms.

  • Arithmetic Progressions on Huff Curves
    2012
    Co-Authors: Dustin Moody
    Abstract:

    We look at arithmetic Progressions on elliptic curves known as Huff curves. By an arithmetic Progression on an elliptic curve, we mean that either the x or y-coordinates of a sequence of rational points on the curve form an arithmetic Progression. Previous work has found arithmetic Progressions on Weierstrass curves, quartic curves, Edwards curves, and genus 2 curves. We find an infinite number of Huff curves with an arithmetic Progression of length 9.

  • Arithmetic Progressions on Edwards Curves
    2011
    Co-Authors: Dustin Moody
    Abstract:

    We look at arithmetic Progressions on elliptic curves known as Edwards curves. By an arithmetic Progression on an elliptic curve, we mean that the x-coordinates of a sequence of rational points on the curve form an arithmetic Progression. Previous work has found arithmetic Progressions on Weierstrass curves, quartic curves, and genus 2 curves. We find an infinite number of Edwards curves with an arithmetic Progression of length 9.

  • Arithmetic Progressions on Hu curves
    2011
    Co-Authors: Dustin Moody
    Abstract:

    We look at arithmetic Progressions on elliptic curves known as Hu curves. By an arithmetic Progression on an elliptic curve, we mean that either the x or y-coordinates of a sequence of rational points on the curve form an arithmetic Progression. Previous work has found arithmetic Progressions on Weierstrass curves, quartic curves, Edwards curves, and genus 2 curves. We find an infinite number of Hu curves with an arithmetic Progression of length 9.

Corey A Peacock - One of the best experts on this subject based on the ideXlab platform.

  • comparing acute bouts of sagittal plane Progression foam rolling vs frontal plane Progression foam rolling
    Journal of Strength and Conditioning Research, 2015
    Co-Authors: Corey A Peacock, Darren D Krein, Jose Antonio, Gabriel J Sanders, Tobin Silver, Megan Colas
    Abstract:

    Many strength and conditioning professionals have included the use of foam rolling devices within a warm-up routine prior to both training and competition. Multiple studies have investigated foam rolling in regards to performance, flexibility, and rehabilitation; however, additional research is necessary in supporting the topic. Furthermore, as multiple foam rolling Progressions exist, researching differences that may result from each is required. To investigate differences in foam rolling Progressions, 16 athletically trained males underwent a 2-condition within-subjects protocol comparing the differences of 2 common foam rolling Progressions in regards to performance testing. The 2 conditions included a foam rolling Progression targeting the mediolateral axis of the body (FRml) and foam rolling Progression targeting the anteroposterior axis (FRap). Each was administered in adjunct with a full-body dynamic warm-up. After each rolling Progression, subjects performed National Football League combine drills, flexibility, and subjective scaling measures. The data demonstrated that FRml was effective at improving flexibility (p <= 0.05) when compared with FRap. No other differences existed between Progressions.

Le G Garff - One of the best experts on this subject based on the ideXlab platform.

  • impact of continuing first line egfr tyrosine kinase inhibitor therapy beyond recist disease Progression in patients with advanced egfr mutated non small cell lung cancer nsclc retrospective gfpc 04 13 study
    Targeted Oncology, 2016
    Co-Authors: J B Auliac, Clement Fournier, Audigier C Valette, M Perol, A Bizieux, F Vinas, Decroisette Phan C Van Ho, Bota S Ouchlif, R Corre, Le G Garff
    Abstract:

    Retrospective studies suggested a benefit of first-line tyrosine kinase inhibitor (TKI) treatment continuation after response evaluation in solid tumors (RECIST) Progression in epidermal growth factor receptor (EGFR)-mutated non-small-cell lung cancer (NSCLC) patients. The aim of this multicenter observational retrospective study was to assess the frequency of this practice and its impact on overall survival (OS). The analysis included advanced EGFR-mutated NSCLC patients treated with first-line TKI who experienced RECIST Progression between June 2010 and July 2012. Among the 123 patients included (67 ± 12.7 years, women: 69 %, non smokers: 68 %, PS 0–1: 87 %), 40.6 % continued TKI therapy after RECIST Progression. There was no difference between the patients who did and did not continue TKI therapy with respect to Progression-free survival (PFS1: 10.5 versus 9.5 months, p = 0.4). Overall survival (OS) showed a non-significant trend in favor of continuing TKI therapy (33.0 vs. 21.2 months, p = 0.054). Progressions were significantly less symptomatic in the TKI continuation group than in the discontinuation group (18 % vs. 37 %, p 1 (HR 4.33, 95 %CI: 2.21-8.47, p = 0.001), >1 one metastatic site (HR 1.96, 95 %CI: 1.06-3.61, p = 0.02), brain metastasis (HR 1.75, 95 %CI: 1.08-2.84, p = 0.02) at diagnosis, and a trend towards a higher risk of death in cases of TKI discontinuation after Progression (HR 1.62, 95 %CI: 0.98-2.67, p = 0.056 ). In multivariate analysis only PS >1 (HR 6.27, 95 %CI: 2.97-13.25, p = 0.00001) and >1 metastatic site (HR 2.54, 95 %CI: 1.24-5.21, p = 0.02) at diagnosis remained significant. This study suggests that under certain circumstances, first-line TKI treatment continuation after RECIST Progression is an acceptable option in EGFR-mutated NSCLC patients.

Maksym Radziwill - One of the best experts on this subject based on the ideXlab platform.

  • the riemann zeta function on vertical arithmetic Progressions
    International Mathematics Research Notices, 2015
    Co-Authors: Maksym Radziwill
    Abstract:

    We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic Progression 12 + i(an + b) with a > 0, b real, exhibits a remarkable correspondance with the analogous continuous average and derive several consequences. For example, motivated by the linear independence conjecture, we show at least one third of the elements in the arithmetic Progression an + b are not the ordinates of some zero of ζ(s) lying on the critical line. This improves on earlier work of Martin and Ng. We then complement this result by producing large and small values of ζ(s) on arithmetic Progressions which are of the same quality as the best Ω results currently known for ζ( 12 + it) with t real.

  • the riemann zeta function on vertical arithmetic Progressions
    arXiv: Number Theory, 2012
    Co-Authors: Maksym Radziwill
    Abstract:

    We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic Progression $1/2 + i(an + b)$ with $a > 0$, $b$ real, exhibits a remarkable correspondance with the analogous continuous average and derive several consequences. For example, motivated by the linear independence conjecture, we show at least one third of the elements in the arithmetic Progression $a n + b$ are not the ordinates of some zero of $\zeta(s)$ lying on the critical line. This improves on earlier work of Martin and Ng. We then complement this result by producing large and small values of $\zeta(s)$ on arithmetic Progressions which are of the same quality as the best $\Omega$ results currently known for $\zeta(1/2 + it)$ with $t$ real.