analytic estimate
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2021 ◽  
Vol 922 (2) ◽  
pp. 97
Author(s):  
Bai-Chiang Chiang ◽  
Kevin M. Huffenberger

Abstract In the context of cosmic microwave background data analysis, we study the solution to the equation that transforms scanning data into a map. As originally suggested in “messenger” methods for solving linear systems, we split the noise covariance into uniform and nonuniform parts and adjust their relative weights during the iterative solution. With simulations, we study mock instrumental data with different noise properties, and find that this “cooling” or perturbative approach is particularly effective when there is significant low-frequency noise in the timestream. In such cases, a conjugate gradient algorithm applied to this modified system converges faster and to a higher fidelity solution than the standard conjugate gradient approach. We give an analytic estimate for the parameter that controls how gradually the linear system should change during the course of the solution.


Author(s):  
Richard D. Morey ◽  
Michael P. Kaschak ◽  
Antonio M. Díez-Álamo ◽  
Arthur M. Glenberg ◽  
Rolf A. Zwaan ◽  
...  

AbstractThe Action-sentence Compatibility Effect (ACE) is a well-known demonstration of the role of motor activity in the comprehension of language. Participants are asked to make sensibility judgments on sentences by producing movements toward the body or away from the body. The ACE is the finding that movements are faster when the direction of the movement (e.g., toward) matches the direction of the action in the to-be-judged sentence (e.g., Art gave you the pen describes action toward you). We report on a pre-registered, multi-lab replication of one version of the ACE. The results show that none of the 18 labs involved in the study observed a reliable ACE, and that the meta-analytic estimate of the size of the ACE was essentially zero.


Photonics ◽  
2021 ◽  
Vol 8 (7) ◽  
pp. 261
Author(s):  
Guanjun Xu ◽  
Dongdong Jiao ◽  
Long Chen ◽  
Linbo Zhang ◽  
Ruifang Dong ◽  
...  

Thermal noise in optical cavities sets a fundamental limit to the frequency instability of ultra-stable lasers. Numata et al. derived three equations based on strain energy and the fluctuation–dissipation theorem to estimate the thermal noise contributions of the spacer, substrates, and coating. These equations work well for cylindrical cavities. Extending from that, an expression for the thermal noise for a cubic spacer based on the fluctuation–dissipation theorem is derived, and the thermal noise in cubic optical cavities is investigated in detail by theoretical analysis and finite element simulation. The result shows that the thermal noise of the analytic estimate fits well with that of finite element analysis. Meanwhile, the influence of the compressive force Fp on the thermal noise in cubic optical cavities is analyzed for the first time. For a 50 mm long ultra-low expansion cubic cavity with fused silica substrates and GaAs/AlGaAs crystalline coating, the displacement noise contributed from every Fp of 100 N is about three times more than that of the substrate and coating.


2021 ◽  
Vol 502 (1) ◽  
pp. 700-713
Author(s):  
Sunmyon Chon ◽  
Takashi Hosokawa ◽  
Kazuyuki Omukai

ABSTRACT The direct collapse (DC) is a promising mechanism that provides massive seed black holes (BHs) with ∼105 M⊙ in the early universe. To study a long-term accretion growth of a direct-collapse black hole (DCBH), we perform cosmological radiation-hydrodynamics simulations, extending our previous work where we investigated its formation stage. With a high spatial resolution down below the Bondi radius, we show that the accretion rate on to the BH is far below the Eddington value. Such slow mass growth is partly because of the strong radiative feedback from the accreting BH to the surrounding dense gas. Even after it falls into the first galaxy, the accretion rate is substantially suppressed due to the supernova feedback associated with the intense star formation. Moreover, the BH has a large velocity of ∼100 km s−1 relative to the gas, which further reduces the accretion rate. This large relative velocity stems from the fact that the DCBHs form in metal-free environments typically at ∼1 kpc from the galaxy. The BH accelerates as it approaches the galactic centre due to the gravity. The relative velocity never damps and the BH wanders around the outer galactic region. An analytic estimate predicts that the DCBH formation within ∼100 pc around the galactic centre is necessary to decelerate the BH with dynamical friction before z = 7. Since metal enrichment with Z ∼ 10−5−10−3 Z⊙ is expected there, the formation of DCBHs in the metal-enriched environments is preferable for the subsequent rapid growth.


2020 ◽  
Vol 11 ◽  
Author(s):  
Cedrik Armes ◽  
Henry Standish-Hunt ◽  
Patroklos Androulakis-Korakakis ◽  
Nick Michalopoulos ◽  
Tsvetelina Georgieva ◽  
...  

In resistance training, the use of predicting proximity to momentary task failure (MF, i.e., maximum effort), and repetitions in reserve scales specifically, is a growing approach to monitoring and controlling effort. However, its validity is reliant upon accuracy in the ability to predict MF which may be affected by congruence of the perception of effort compared with the actual effort required. The present study examined participants with at least 1 year of resistance training experience predicting their proximity to MF in two different experiments using a deception design. Within each experiment participants performed four trials of knee extensions with single sets (i.e., bouts of repetitions) to their self-determined repetition maximum (sdRM; when they predicted they could not complete the next repetition if attempted and thus would reach MF if they did) and MF (i.e., where despite attempting to do so they could not complete the current repetition). For the first experiment (n = 14) participants used loads equal to 70% of a one repetition maximum (1RM; i.e., the heaviest load that could be lifted for a single repetition) performed in a separate baseline session. Aiming to minimize participants between day variability in repetition performances, in the second separate experiment (n = 24) they used loads equal to 70% of their daily isometric maximum voluntary contraction (MVC). Results suggested that participants typically under predicted the number of repetitions they could perform to MF with a meta-analytic estimate across experiments of 2.0 [95%CIs 0.0 to 4.0]. Participants with at least 1 year of resistance training experience are likely not adequately accurate at gauging effort in submaximal conditions. This suggests that perceptions of effort during resistance training task performance may not be congruent with the actual effort required. This has implications for controlling, programming, and manipulating the actual effort in resistance training and potentially on the magnitude of desired adaptations such as improvements in muscular hypertrophy and strength.


2020 ◽  
Author(s):  
Molly Lewis ◽  
Maya B Mathur ◽  
Tyler VanderWeele ◽  
Michael C. Frank

What is the best way to estimate the size of important effects? Should we aggregate across disparate findings using statistical meta-analysis, or instead run large, multi-lab replications (MLR)? A recent paper by Kvarven, Strømland, and Johannesson (2020) compared effect size estimates derived from these two different methods for 15 different psychological phenomena. The authors report that, for the same phenomenon, the meta-analytic estimate tends to be about three times larger than the MLR estimate. These results pose an important puzzle: What is the relationship between these two estimates? Kvarven et al. suggest that their results undermine the value of meta-analysis. In contrast, we argue that both meta-analysis and MLR are informative, and that the discrepancy between estimates obtained via the two methods is in fact still unexplained. Informed by re-analyses of Kvarven et al.’s data and by other empirical evidence, we discuss possible sources of this discrepancy and argue that understanding the relationship between estimates obtained from these two methods is an important puzzle for future meta-scientific research.


2019 ◽  
Author(s):  
Hilmar Brohmer ◽  
Katja Corcoran ◽  
Robbie Cornelis Maria van Aert ◽  
Lisa V. Eckerstorfer

Goal Contagion is a social-cognitive approach to understand how people are getting inspired by others: an observation of goal-directed behavior leads to an automatic inference of the goal on an implicit level before the goal is adopted and pursued thereafter. Most studies on goal contagion used an experimental design and measured either implicit inference or goal pursuit. There are many similarities between different studies (e.g., most use written stimulus material), but also crucial differences (e.g., the type of goal). To identify conditions under which goals are most contagious, we conducted a meta-analysis, including effects from published studies, unpublished studies and Registered Reports. The meta-analytic summary effect was small, g = 0.30, 95%CI [0.21; 0.40], τ² = 0.05, 95%CI [0.03, 0.13]. We investigated whether effects are lager for implicit inference or goal pursuit, if goals that are pursued by more people might be more contagious, if the manipulation material had an influence, and if control groups that were contrary to the goal might have driven the effect. None of these variables turned out to have a moderating effect on the results. Moreover, the original effect seemed to be biased through the current publication system: methods to correct for publication bias like p-uniform* lead to estimates of about half the size of the original effect. The meta-analytic estimate based on only unpublished studies and Registered Reports was close to zero. We suggest that future research on Goal Contagion makes use of Open Science practices to advance research in this domain.


2019 ◽  
Vol 488 (4) ◽  
pp. 5267-5278 ◽  
Author(s):  
Siva Darbha ◽  
Eric R Coughlin ◽  
Daniel Kasen ◽  
Chris Nixon

ABSTRACT A star approaching a supermassive black hole (SMBH) can be torn apart in a tidal disruption event (TDE). We examine ultra-deep TDEs, a new regime in which the disrupted debris approaches close to the black hole’s Schwarzschild radius, and the leading part intersects the trailing part at the first pericentre passage. We calculate the range of penetration factors β versus SMBH masses M that produce these prompt self-intersections using a Newtonian analytic estimate and a general relativistic (GR) geodesic model. We find that significant self-intersection of Solar-type stars requires β ∼ 50–127 for M/M⊙ = 104, down to β ∼ 5.6–5.9 forM/M⊙ = 106. We run smoothed particle hydrodynamic (SPH) simulations to corroborate our calculations and find close agreement, with a slightly shallower dependence on M. We predict that the shock from the collision emits an X-ray flare lasting t ∼ 2 s with L ∼ 1047 erg s−1 at E ∼ 2 keV, and the debris has a prompt accretion episode lasting t ∼ several minutes. The events are rare and occur with a rate $\dot{N} \lesssim 10^{-7}$ Mpc−3 yr−1. Ultra-deep TDEs can probe the strong gravity and demographics of low-mass SMBHs.


2019 ◽  
Author(s):  
Cedrik Armes ◽  
Henry Standish-Hunt ◽  
Patroklos Androulakis-Korakakis ◽  
Nick Michalopoulos ◽  
Tsvetelina Georgieva ◽  
...  

In resistance training, the use of predicting proximity to momentary task failure (MF, i.e. maximum effort), and repetitions in reserve scales specifically, is a growing approach to monitoring and controlling effort. However, its validity is reliant upon accuracy in the ability to predict MF which may be affected by congruence of the perception of effort compared with the actual effort required. The present study examined participants with at least one year of resistance training experience predicting their proximity to MF in two different experiments using a deception design. Within each experiment participants performed four trials of knee extensions with single sets (i.e. bouts of repetitions) to their self-determined repetition maximum (sdRM; when they predicted they could not complete the next repetition if attempted and thus would reach MF if they did) and MF (i.e. where despite attempting to do so they could not complete the current repetition). For the first experiment (n = 14) participants used loads equal to 70% of a one repetition maximum (1RM; i.e. the heaviest load that could be lifted for a single repetition) performed in a separate baseline session. Aiming to minimize participants between day variability in repetition performances, in the second separate experiment (n = 24) they used loads equal to 70% of their daily isometric maximum voluntary contraction (MVC). Results suggested that participants typically under predicted the number of repetitions they could perform to MF with a meta-analytic estimate across experiments of 2.02 [95%CIs 0.0 to 4.04]. Participants with at least one year of resistance training experience are likely not adequately accurate at gauging effort in submaximal conditions. This suggests that perceptions of effort during resistance training task performance may not be congruent with the actual effort required. This has implications for controlling, programming, and manipulating the actual effort in resistance training and potentially on the magnitude of desired adaptations such as improvements in muscular hypertrophy and strength.


2018 ◽  
Vol 28 (12) ◽  
pp. 1071-1077 ◽  
Author(s):  
Max M. Feinstein ◽  
Anthony E. Pannunzio ◽  
Pilar Castro

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