More than a simple concert pianist,Wilson Chu is an Indonesian musical diplomacy force.As a distinguished performer,composer,and educator,Wilson has left an indelible mark on the international stage by seamlessly blen...More than a simple concert pianist,Wilson Chu is an Indonesian musical diplomacy force.As a distinguished performer,composer,and educator,Wilson has left an indelible mark on the international stage by seamlessly blending Western classical music with Southeast Asian tradition.Since 2019,he has been the youngest Associate Professor of Piano at the College of Chinese and ASEAN Arts(CCAA)at Chengdu University,where he has dedicated himself to shaping the next generation of musicians.展开更多
The first part of this article addresses the main premise of the Theory of Musical Equilibration. It states that in contrast to previous hypotheses, music does not directly describe emotions: instead;it evokes process...The first part of this article addresses the main premise of the Theory of Musical Equilibration. It states that in contrast to previous hypotheses, music does not directly describe emotions: instead;it evokes processes of the will which the listener identifies with. It is not until these processes are experienced that music appears to take on an emotional character. The second part of the article focuses on demonstrating the emotional nature of musical harmonies. The Basic Test and the Rocky Test are presented. These tests were designed to find correlations between chords and scenes from fairy tales as well as emotional terms. 86% of the participants correlated the musical selection to the emotion outlined by the Theory of Musical Equilibration the authors developed in this context.展开更多
In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation o...In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation of envelope curves and examples are illustrated graphically with Matlab.展开更多
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a（n-1）, K has at least n＋1 critical chords, where a（n）=n＋（2n（n＋1））√1/2/n＋2.
Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
In this paper,the L_(p)chord Minkowski problem is concerned.Based on the results shown in[20],we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvatu...In this paper,the L_(p)chord Minkowski problem is concerned.Based on the results shown in[20],we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvature flow for p>−n with p≠0.展开更多
文摘More than a simple concert pianist,Wilson Chu is an Indonesian musical diplomacy force.As a distinguished performer,composer,and educator,Wilson has left an indelible mark on the international stage by seamlessly blending Western classical music with Southeast Asian tradition.Since 2019,he has been the youngest Associate Professor of Piano at the College of Chinese and ASEAN Arts(CCAA)at Chengdu University,where he has dedicated himself to shaping the next generation of musicians.
文摘The first part of this article addresses the main premise of the Theory of Musical Equilibration. It states that in contrast to previous hypotheses, music does not directly describe emotions: instead;it evokes processes of the will which the listener identifies with. It is not until these processes are experienced that music appears to take on an emotional character. The second part of the article focuses on demonstrating the emotional nature of musical harmonies. The Basic Test and the Rocky Test are presented. These tests were designed to find correlations between chords and scenes from fairy tales as well as emotional terms. 86% of the participants correlated the musical selection to the emotion outlined by the Theory of Musical Equilibration the authors developed in this context.
基金Supported by the Start-up Research Fund from Huzhou University (RK21089)。
文摘In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation of envelope curves and examples are illustrated graphically with Matlab.
基金Supported by the Innovative Project of College Students of Jiangsu Province(201710332019Z)the Natural Science Foundation of Jiangsu Province(BK20171218)the National Natural Science Foundation of China(11671293)
文摘In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a（n-1）, K has at least n＋1 critical chords, where a（n）=n＋（2n（n＋1））√1/2/n＋2.
文摘Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
基金supported by the National Natural Science Foundation of China(12171144,12231006,12122106).
文摘In this paper,the L_(p)chord Minkowski problem is concerned.Based on the results shown in[20],we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvature flow for p>−n with p≠0.
