Reflective Knowledge: Confucius and Virtue Epistemology

Most of sScholars have typically regarded Confucius as an ethical thinker broadly construed and not as an epistemological thinker. This paper seeks to overturn that view and, in doing so, has three basic goals. The first goal is to make the case that Confucian thought of the Analects is of epistemological significance. Goal two is to locate the significance of the Confucian thought within epistemology while accounting for the past overlooking of this significance. The third goal is to show that the Confucian thought is not only of epistemological significance, but that it can make a contribution to progressing contemporary epistemology

Discretization error cancellation in the plane-wave approximation of periodic Hamiltonians with Coulomb singularities

In solid-state physics, energies of molecular systems are usually computed with a plane-wave discretization of Kohn-Sham equations. A priori estimates of plane-wave convergence for periodic Kohn-Sham calculations with pseudopotentials have been proved , however in most computations in practice, plane-wave cut-offs are not tight enough to target the desired accuracy. It is often advocated that the real quantity of interest is not the value of the energy but of energy differences for different configurations. The computed energy difference is believed to be much more accurate because of `discretization error cancellation', since the sources of numerical errors are essentially the same for different configurations. For periodic linear Hamiltonians with Coulomb potentials, error cancellation can be explained by the universality of the Kato cusp condition. Using weighted Sobolev spaces, Taylor-type expansions of the eigenfunctions are available yielding a precise characterization of this singularity. This then gives an explicit formula of the first order term of the decay of the Fourier coefficients of the eigenfunctions. It enables one to prove that errors on eigenvalue differences are reduced but converge at the same rate as the error on the eigenvalue.Comment: 14 pages, 3 figures, improved result on main theorem, corrected typo

The Awareness of cultural orientations in culturally responsive education for Korean American students

It is important for teachers to be aware of the cultural backgrounds of students and their family in order to provide culturally responsive instruction and counseling. Most teachers may identify Asian ethnicities due to their distinguishable physical or behavioral characteristics but they may not know how Asian Americans have changed their cultural value and legacies. To examine cultural orientation, the Korean American Acculturation Scale (KAAS), which consists of behavior and cultural value orientations, was administered to 466 Korean American students. The result indicated that the most recent generations were less behaviorally oriented to Korean culture and more disoriented to Korean cultural value after controlling the affect of age. However, the degree of behavior and cultural value disorientation to Korean culture varied among individual Korean American students, depending on their genders and/or generations. Korean American students seemed to choose the degree and mode of their cultural orientation selectively during their acculturation

Sampling the Probability Distribution of Type Ia Supernova Lightcurve Parameters in Cosmological Analysis

In order to obtain robust cosmological constraints from Type Ia supernova (SN Ia) data, we have applied Markov Chain Monte Carlo (MCMC) to SN Ia lightcurve fitting. We develop a method for sampling the resultant probability density distributions (pdf) of the SN Ia lightcuve parameters in the MCMC likelihood analysis to constrain cosmological parameters, and validate it using simulated data sets. Applying this method to the Joint Lightcurve Analysis (JLA) data set of SNe Ia, we find that sampling the SN Ia lightcurve parameter pdf's leads to cosmological parameters closer to that of a flat Universe with a cosmological constant, compared to the usual practice of using only the best fit values of the SN Ia lightcurve parameters. Our method will be useful in the use of SN Ia data for precision cosmology.Comment: 9 pages, 6 figures, 4 tables. Revised version accepted by MNRA

Exercise-induced respiratory muscle fatigue: implications for performance

It is commonly held that the respiratory system has ample capacity relative to the demand for maximal O-2 and CO2 transport in healthy humans exercising near sea level. However, this situation may not apply during heavy-intensity, sustained exercise where exercise may encroach on the capacity of the respiratory system. Nerve stimulation techniques have provided objective evidence that the diaphragm and abdominal muscles are susceptible to fatigue with heavy, sustained exercise. The fatigue appears to be due to elevated levels of respiratory muscle work combined with an increased competition for blood flow with limb locomotor muscles. When respiratory muscles are prefatigued using voluntary respiratory maneuvers, time to exhaustion during subsequent exercise is decreased. Partially unloading the respiratory muscles during heavy exercise using low-density gas mixtures or mechanical ventilation can prevent exercise-induced diaphragm fatigue and increase exercise time to exhaustion. Collectively, these findings suggest that respiratory muscle fatigue may be involved in limiting exercise tolerance or that other factors, including alterations in the sensation of dyspnea or mechanical load, may be important. The major consequence of respiratory muscle fatigue is an increased sympathetic vasoconstrictor outflow to working skeletal muscle through a respiratory muscle metaboreflex, thereby reducing limb blood flow and increasing the severity of exercise-induced locomotor muscle fatigue. An increase in limb locomotor muscle fatigue may play a pivotal role in determining exercise tolerance through a direct effect on muscle force output and a feedback effect on effort perception, causing reduced motor output to the working limb muscles