Mathematics

Publication Title: 
Journal of Manipulative and Physiological Therapeutics

Projectional distortion is known to produce artifactual disrelationships between the images of osseous segments on X-ray film. Apparatus and methods were developed to measure the effect of projectional distortion on a human third lumbar vertebra. The procedures for mathematical analysis of such distortion are outlined, and the results of studies to determine the accuracy of the procedure are presented.

Author(s): 
Zengel, F.
Davis, B. P.
Publication Title: 
Journal of Manipulative and Physiological Therapeutics

OBJECTIVE: This paper discusses linear algebra as applied to human posture in chiropractic, specifically chiropractic biophysics technique (CBP). MATHEMATICAL ANALYSIS: Rotations, reflections and translations are geometric functions studied in vector spaces in linear algebra. These mathematical functions are termed rigid body transformations and are applied to segmental spinal movement in the literature. Review of the literature indicates that these linear algebra concepts have been used to describe vertebral motion.

Author(s): 
Harrison, D. D.
Janik, T. J.
Harrison, G. R.
Troyanovich, S.
Harrison, D. E.
Harrison, S. O.
Publication Title: 
Journal of Manipulative and Physiological Therapeutics

OBJECTIVE: To investigate the effect of chiropractic adjustments on movement time using Fitts Law. METHODS: This was a prospective, randomized controlled trial. Ten patients from a private chiropractic practice participated. Participants in the treatment group received high-velocity, low-amplitude chiropractic adjustments to areas of joint dysfunction (chiropractic subluxation). A nonintervention group was used to control for improvement resulting from time and practice effects. Movement time was measured as participants moved a cursor onto a target appearing on a computer screen.

Author(s): 
Smith, Dean L.
Dainoff, Marvin J.
Smith, Jane P.
Publication Title: 
Asia Pacific Journal of Clinical Nutrition

A mathematical model for determining the Yin Yang nature of fruits was established in our previous study. The objective of this study was to validate the mathematical model using animal experiments. One hundred and twenty Wistar II female rats were randomly divided into five diet groups: A, B, C, D and E that were administered with saline solution, hot Traditional Chinese Medicine (TCM) tonic, cold TCM tonic, hot (Yang) formulated mineral solution and cold (Yin) formulated mineral solution, respectively.

Author(s): 
Ni, Li
Lin, Xiao
Rao, Pingfan
Publication Title: 
Zhong Xi Yi Jie He Xue Bao = Journal of Chinese Integrative Medicine

OBJECTIVE: The primary aim of this research is to systematically sort out and analyze available documents for yang deficiency syndrome in traditional Chinese medicine, providing innovative ideas and methods for statistical study of yang deficiency syndrome.

Author(s): 
Jin, Rui
Lin, Qian
Liu, Sen-mao
Zhao, Qian
Zhang, Qian
Zhang, Bing
Publication Title: 
Zhong Xi Yi Jie He Xue Bao = Journal of Chinese Integrative Medicine

OBJECTIVE: Based on information entropy theory, this study analyzes the experimental indicators of glucocorticoid-induced traditional Chinese medicine yang deficiency or yin deficiency syndrome in animal models, thus laying the foundation of defining and interpreting the model state. METHODS: Data of biochemical indicators from 24 groups of animal models with different modeling conditions (type of modeling agent, dosage of modeling agent and modeling time) were collected.

Author(s): 
Jin, Rui
Zhang, Bing
Liu, Sen-mao
Ni, Li
Li, Min
Li, Lian-zhen
Publication Title: 
Complementary Therapies in Clinical Practice

OBJECTIVE: To determine the immediate effects of a combined form of Tai chi/yoga. DESIGN: 38 adults participated in a 20-min Tai chi/yoga class. The session was comprised of standing Tai chi movements, balancing poses and a short Tai chi form and 10 min of standing, sitting and lying down yoga poses. MAIN OUTCOME MEASURES: The pre- and post- Tai chi/yoga effects were assessed using the State Anxiety Inventory (STAI), EKG, EEG and math computations. RESULTS: Heartrate increased during the session, as would be expected for this moderate-intensity exercise.

Author(s): 
Field, Tiffany
Diego, Miguel
Hernandez-Reif, Maria
Publication Title: 
Ying Yong Sheng Tai Xue Bao = The Journal of Applied Ecology / Zhongguo Sheng Tai Xue Xue Hui, Zhongguo Ke Xue Yuan Shenyang Ying Yong Sheng Tai Yan Jiu Suo Zhu Ban

Ecosystem health assessment is one of the main researches and urgent tasks of ecosystem science in 21st century. An operational definition on ecosystem health and an all-sided, simple, easy operational and standard index system, which are the foundation of assessment on ecosystem health, are necessary in obtaining a simple and applicable assessment theory and method of ecosystem health.

Author(s): 
Chen, Gao
Dai, Limin
Ji, Lanzhu
Deng, Hongbing
Hao, Zhanqing
Wang, Qingli
Publication Title: 
Ying Yong Sheng Tai Xue Bao = The Journal of Applied Ecology / Zhongguo Sheng Tai Xue Xue Hui, Zhongguo Ke Xue Yuan Shenyang Ying Yong Sheng Tai Yan Jiu Suo Zhu Ban

Through samples investigation, this paper analyzed and classified the community structures of overcutting original forests, secondary birch forests and larch plantation forest under different disturbances. At the same time, some indexes which can reflect the integrity and stability of stand structure were selected. Health Distance (HD) method, a new idea, was attempted to assess ecosystem health of Korean pine and broadleaved mixed forest in Changbai Mountains.

Author(s): 
Dai, Limin
Chen, Gao
Deng, Hongbing
Ji, Lanzhu
Hao, Zhanqing
Wang, Qingli
Publication Title: 
Complementary Therapies in Clinical Practice

OBJECTIVE: To determine the immediate effects of a combined form of Tai chi/yoga. DESIGN: 38 adults participated in a 20-min Tai chi/yoga class. The session was comprised of standing Tai chi movements, balancing poses and a short Tai chi form and 10 min of standing, sitting and lying down yoga poses. MAIN OUTCOME MEASURES: The pre- and post- Tai chi/yoga effects were assessed using the State Anxiety Inventory (STAI), EKG, EEG and math computations. RESULTS: Heartrate increased during the session, as would be expected for this moderate-intensity exercise.

Author(s): 
Field, Tiffany
Diego, Miguel
Hernandez-Reif, Maria

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