scholarly journals Evaluation of high-degree series expansions of the topographic potential to higher-order powers

2012 ◽  
Vol 117 (B12) ◽  
pp. n/a-n/a ◽  
Author(s):  
Christian Hirt ◽  
Michael Kuhn
Keyword(s):  
Higher Order ◽  
Series Expansions ◽  
Topographic Potential ◽  
High Degree ◽  
Degree Series

Business Simulation to Stage Critical Thinking in Introductory Accounting: Rationale, Design, and Implementation

2004 ◽  
Vol 19 (3) ◽  
pp. 277-303 ◽  
Author(s):  
Carol W. Springer ◽  
A. Faye Borthick
Keyword(s):  
Critical Thinking ◽  
Higher Order Thinking ◽  
Thinking Skills ◽  
Higher Order ◽  
Business Simulation ◽  
Business Decision ◽  
Higher Order Thinking Skills ◽  
Introductory Accounting ◽  
Business Simulations ◽  
High Degree

This article explains the rationale for, the design of, and the implementation of business simulation episodes for eliciting a developmental shift from knowing to thinking in introductory accounting courses. Using business simulations this way responds to a long-standing need for learning experiences that create opportunities for students to work on developing the higher-order thinking skills required for success in business and the accounting profession. The needed capability can be characterized as critical thinking: the ability to solve problems that cannot be described with a high degree of completeness, cannot be resolved with a high degree of certainty, or elicit disagreement from experts about the best solution. This use of business simulation, illustrated with an episode from the Safe Night Out (SNO) simulation, immerses students in the life of an evolving business for which they develop a continuing stream of business advice based on the application of accounting principles. Emphasizing communication skills, alternative viewpoints, and the effect of assumptions on decisions, the simulation episodes demonstrate the usefulness and importance of accounting to business decision makers. The intent of shifting from well-structured end-of-the-chapter problems to more authentic work, like that in business simulations, is to develop higher-order thinking skills while generating interest in the accounting major and increasing the usefulness of accounting in the minds of nonmajors.

A New Method for High-Degree Spline Interpolation: Proof of Continuity for Piecewise Polynomials

2019 ◽  
Vol 63 (3) ◽  
pp. 655-669
Author(s):  
A. Pepin ◽  
S. S. Beauchemin ◽  
S. Léger ◽  
N. Beaudoin
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Spline Interpolation ◽  
Higher Order ◽  
New Method ◽  
System Of Equations ◽  
Piecewise Polynomials ◽  
Odd Degree ◽  
High Degree

AbstractEffective and accurate high-degree spline interpolation is still a challenging task in today’s applications. Higher degree spline interpolation is not so commonly used, because it requires the knowledge of higher order derivatives at the nodes of a function on a given mesh.In this article, our goal is to demonstrate the continuity of the piecewise polynomials and their derivatives at the connecting points, obtained with a method initially developed by Beaudoin (1998, 2003) and Beauchemin (2003). This new method, involving the discrete Fourier transform (DFT/FFT), leads to higher degree spline interpolation for equally spaced data on an interval $[0,T]$. To do this, we analyze the singularities that may occur when solving the system of equations that enables the construction of splines of any degree. We also note an important difference between the odd-degree splines and even-degree splines. These results prove that Beaudoin and Beauchemin’s method leads to spline interpolation of any degree and that this new method could eventually be used to improve the accuracy of spline interpolation in traditional problems.

scholarly journals A Numerical Study of the Analytical Downward Continuation Error in Geoid Computation by EGM08

2011 ◽  
Vol 1 (1) ◽  
pp. 2-8 ◽  
Author(s):  
L. Sjöberg ◽  
M. Bagherbandi
Keyword(s):  
Numerical Study ◽  
Analytical Continuation ◽  
Downward Continuation ◽  
The Pacific ◽  
Topographic Bias ◽  
Significant Difference ◽  
Topographic Potential ◽  
Zero Degree ◽  
High Degree ◽  
Geoid Computation

A Numerical Study of the Analytical Downward Continuation Error in Geoid Computation by EGM08Today the geoid can be conveniently determined by a set of high-degree spherical harmonics, such as EGM08 with a resolution of about 5'. However, such a series will be biased when applied to the continental geoid inside the topographic masses. This error we call the analytical downward continuation (DWC) error, which is closely related with the so-called topographic potential bias. However, while the former error is the result of both analytical continuation of the potential inside the topographic masses and truncation of a series, the latter is only the effect of analytical continuation.This study compares the two errors for EGM08, complete to degree 2160. The result shows that the topographic bias ranges from 0 at sea level to 5.15 m in the Himalayas region, while the DWC error ranges from -0.08 m in the Pacific to 5.30 m in the Himalayas. The zero-degree effects of the two are the same (5.3 cm), while the rms of the first degree errors are both 0.3 cm. For higher degrees the power of the topographic bias is slightly larger than that for the DWC error, and the corresponding global rms values reaches 25.6 and 25.3 cm, respectively, at nmax=2160. The largest difference (20.5 cm) was found in the Himalayas. In most cases the DWC error agrees fairly well with the topographic bias, but there is a significant difference in high mountains. The global rms difference of the two errors clearly indicates that the two series diverge, a problem most likely related with the DWC error.

Sensitivity to changes in rate of heartbeats as a measure of interoceptive ability

2020 ◽  
Author(s):  
Dennis E O Larsson ◽  
Giulia Esposito ◽  
HUgo Critchley ◽  
Zoltan Dienes ◽  
Sarah Garfinkel
Keyword(s):  
Heart Rate ◽  
Individual Differences ◽  
Higher Order ◽  
Tracking Task ◽  
Reporting Bias ◽  
Short Term ◽  
Counting Task ◽  
Reliability Performance ◽  
High Degree

Interoception is the sensing of internal bodily signals. Individuals vary in their ability to perceive, as conscious sensations, signals like the beating of the heart. Tests of such interoceptive ability are, however, constrained in nature and reliability. Performance of the heartbeat tracking task, a widely used test of cardiac interoception, often corresponds well with individual differences in emotion and cognition, yet is susceptible to reporting bias and influenced by higher order knowledge, e.g. of expected heart rate. The present study introduces a new way of assessing cardiac interoceptive ability, focusing on sensitivity to short-term, naturalistic changes in frequency of heartbeats. Results indicate an overall tendency to report fewer heartbeats during accelerations in heart rate. This finding may be driven in part by respiration, with a reduction in heartbeat salience during inspiratory periods when heart rate typically increases. Within-participant performance was also marked by a high degree of variability relative to the heartbeat counting task. Rather than a veridical monitoring of subtle variations in physiology, cardiac interoceptive ability appears to involve interpolation, wherein interoceptive decisions are informed by a dynamic working estimate from, the integration of afferent signalling with higher order predictions.

Assembly and organization of the N-terminal region of mucin MUC5AC: Indications for structural and functional distinction from MUC5B

2021 ◽  
Vol 118 (39) ◽  
pp. e2104490118
Author(s):  
Jerome Carpenter ◽  
Yang Wang ◽  
Richa Gupta ◽  
Yuanli Li ◽  
Prashamsha Haridass ◽  
...  
Keyword(s):  
Lung Diseases ◽  
Higher Order ◽  
Chronic Obstructive ◽  
Microscopy Imaging ◽  
Obstructive Lung Diseases ◽  
Force Microscopy ◽  
Macromolecular Assembly ◽  
Atomic Force ◽  
Chronic Obstructive Lung Diseases ◽  
High Degree

Elevated levels of MUC5AC, one of the major gel-forming mucins in the lungs, are closely associated with chronic obstructive lung diseases such as chronic bronchitis and asthma. It is not known, however, how the structure and/or gel-making properties of MUC5AC contribute to innate lung defense in health and drive the formation of stagnant mucus in disease. To understand this, here we studied the biophysical properties and macromolecular assembly of MUC5AC compared to MUC5B. To study each native mucin, we used Calu3 monomucin cultures that produced MUC5AC or MUC5B. To understand the macromolecular assembly of MUC5AC through N-terminal oligomerization, we expressed a recombinant whole N-terminal domain (5ACNT). Scanning electron microscopy and atomic force microscopy imaging indicated that the two mucins formed distinct networks on epithelial and experimental surfaces; MUC5B formed linear, infrequently branched multimers, whereas MUC5AC formed tightly organized networks with a high degree of branching. Quartz crystal microbalance-dissipation monitoring experiments indicated that MUC5AC bound significantly more to hydrophobic surfaces and was stiffer and more viscoelastic as compared to MUC5B. Light scattering analysis determined that 5ACNT primarily forms disulfide-linked covalent dimers and higher-order oligomers (i.e., trimers and tetramers). Selective proteolytic digestion of the central glycosylated region of the full-length molecule confirmed that MUC5AC forms dimers and higher-order oligomers through its N terminus. Collectively, the distinct N-terminal organization of MUC5AC may explain the more adhesive and unique viscoelastic properties of branched, highly networked MUC5AC gels. These properties may generate insight into why/how MUC5AC forms a static, “tethered” mucus layer in chronic muco-obstructive lung diseases.

scholarly journals Fourier series of functions involving higher-order ordered Bell polynomials

2017 ◽  
Vol 15 (1) ◽  
pp. 1606-1617 ◽  
Author(s):  
Taekyun Kim ◽  
Dae San Kim ◽  
Gwan-Woo Jang ◽  
Lee Chae Jang
Keyword(s):  
Number Theory ◽  
Fourier Series ◽  
Higher Order ◽  
Series Expansions ◽  
Bell Polynomials ◽  
Bell Numbers ◽  
Enumerative Combinatorics ◽  
Bernoulli Functions ◽  
Series Of Functions

AbstractIn 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the preferred arrangement numbers). In this paper, we study Fourier series of functions related to higher-order ordered Bell polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.

scholarly journals Higher Order Radiative Corrections in QCD

Symmetry ◽  
2021 ◽  
Vol 14 (1) ◽  
pp. 41
Author(s):  
Zoltán Trócsányi ◽  
Adam Kardos ◽  
Giuseppe Bevilacqua
Keyword(s):  
Large Hadron Collider ◽  
Standard Model ◽  
Particle Physics ◽  
Hadron Collider ◽  
Higher Order ◽  
Radiative Corrections ◽  
Compelling Evidence ◽  
The Standard Model ◽  
High Degree ◽  
Very High

The spectacular physics results collected during the first two runs of the Large Hadron Collider (LHC) present compelling evidence that the Standard Model of Particle Physics describes nature with a very high degree of accuracy [...]

On solutions of the boundary-layer equations with algebraic decay

1978 ◽  
Vol 88 (2) ◽  
pp. 309-321 ◽  
Author(s):  
J. H. Merkin
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Similarity Solution ◽  
Outer Boundary ◽  
Higher Order ◽  
Series Expansions ◽  
Algebraic Decay ◽  
Boundary Layer Equations ◽  
Outer Expansion ◽  
Higher Order Terms

The boundary-layer equations are solved numerically for mainstreams\[ U(x) = x(1-x^2)^{-\alpha}\quad {\rm and}\quad U(x) = (1-x)^{-\alpha}, \]which are both O((1 − x)−α) near x = 1. Series expansions are derived near x = 1. For α > 1, where, for the similarity solution at x = 1, the outer boundary condition is approached through exponentially small terms, a straightforward expansion in powers of 1 − x is possible. For 0 < α < 1, where the decay is only algebraic (Brown & Stewartson 1965), the outer boundary condition cannot be satisfied even with algebraic decay by the higher-order terms in the series and this must be regarded as only an inner expansion. An outer expansion is required which matches with this inner expansion and which approaches the outer boundary condition with exponential decay. For α = 1, the decay is exponential, but not of the same form as for α > 1, and again the outer boundary condition cannot be attained by the higher-order terms in the series. An outer expansion for this case is also derived.

scholarly journals New evidence on son preference among immigrant households in the United States

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Huiqiong Duan ◽  
Daniel L. Hicks
Keyword(s):  
United States ◽  
The United States ◽  
Higher Order ◽  
Son Preference ◽  
Immigrant Parents ◽  
Gender Preferences ◽  
Child Gender ◽  
Immigrant Populations ◽  
High Degree ◽  
New Evidence

AbstractThis paper provides new evidence on the acquisition and persistence of child gender preference among immigrant populations in the United States using Census and American Community Survey data. We first confirm the existing evidence of son preference among immigrant populations from South East Asia that was documented across multiple studies and samples. We then demonstrate several new empirical findings. First, Japanese immigrants exhibit daughter preference. Second, assortative matching between immigrant parents is associated with stronger gender preferences. Third, comparing male and female migrants who marry natives provides suggestive evidence that paternal preferences could be more to blame for son preference than maternal. Fourth, child gender preferences are strongest for migrants who arrive after childhood but do not appear to diminish with the duration of residence in the United States. Finally, while higher-order generations exhibit weaker son preference, there is a high degree of heterogeneity across groups. Most of the second- and higher-order generation immigrants assimilate more rapidly to US norms except Indian immigrant populations, which exhibit strong son preference among higher-order generations.

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