Continuous frequency and phase spectrograms： a study of their 2D and 3D capabilities and application to musical signal analysis

A new lighting and enlargement on phase spectrogram （PS） and frequency spectrogram （FS） is presented in this paper. These representations result from the coupling of power spectrogram and short time Fourier transform （STFT）. The main contribution is the construction of the 3D phase spectrogram （3DPS） and the 3D frequency spectrogram （3DFS）. These new tools allow such specific test signals as small slope linear chirp, phase jump case of musical signal analysis is reported. The main objective is to and small frequency jump to be analyzed. An application detect small frequency and phase variations in order to characterize each type of sound attack without losing the amplitude information given by power spectrogram     

From body to culture: the need for a developmental psychology view. A commentary on the article Learning beyond the body by Juan-Ignacio Pozo / Del cuerpo a la cultura: la necesidad de una mirada desde la psicología del desarrollo. Un comentario sobre el artículo Aprender más allá del cuerpo de Juan-Ignacio Pozo

The necessity of adopting a developmental perspective to understand the role that the body and action play in children’s representations is argued in proposals made by Pozo in his article Learning beyond the body: from embodied representations to explicitation mediated by external representations. The transformative power of action is valued from this developmental perspective, while at the same time revealing the close link between action, cognition and communication. Similarly, the explicitation and implicitation processes are considered to be recurrent phases that occur in any stage of development, applied to embodied knowledge as well as to more elaborate and explicit knowledge.     

Shift-invariance of short-time Fourier transform in fractional Fourier domains

Fractional Fourier domains form a continuum of domains making arbitrary angles with the time or frequency domains on the time-frequency plane. Signal representations in these domains are related to the fractional Fourier transform (FrFT). In this paper, a new proof on the shift-invariance of linear time-frequency distributions on fractional Fourier domains is given. We show that short-time Fourier transform (STFT) is the unique linear distribution satisfying magnitude-wise shift-invariance in the fractional Fourier domains. The magnitude-wise shift-invariance property in arbitrary fractional Fourier domains distinguishes STFT among all linear time-frequency distributions and simplifies the interpretation of the resultant distribution as shown by numerical examples.     

Third-Grade Students Investigate and Represent Data

Results of a collaborative project between two mathematics education faculty, a third-grade teacher, and her beginning third-grade students are presented. The purpose of this project was to collect information from these students as they thought through how to ask, collect, and then answer their own data-driven questions. These young students exhibited a growing understanding, sophistication, and comfort with the use and application of data and data terminology as they developed their strategies for collecting, analyzing, and presenting their results.     

二语熟练程度与双语句法表征

在研究考察二语熟练程度与双语句法表征的关系中,借鉴国外句法启动的经典实验范式,设计针对不同水平英语学习者的跨语言句法启动实验,结果我们发现,汉英存在不平衡的启动效应：L1-L2的效应大于L2-L1,高水平英语学习者的效应大于低水平,且随着英语熟练程度的提高汉英双语句法表征融合度更高、共享的层面更显著。     

全心全意为人民服务认真实践"三个代表"

在改革开放和社会主义现代化建设的新征途中 ,如何充分尊重民心民意 ,凝聚民智民力 ,关心民生民利 ,也就成为摆在每一个共产党人面前的一项历史使命。本文试图以人民群众在弘扬先进文化和开拓先进生产力方面的突出作用 ,说明全心全意为人民服务 ,是实践三个代表的基本要求