Teaching apparatus and method for visually representing mathematical expressions

• 1. 用于书写数学表达式分析的方法、装置和计算机程序产品 [P] . 中国专利： CN102460476B . 2016.02.17
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• 3. Teaching apparatus and method for visually representing mathematical expressions [P] . 美国专利： US5645431A . 1997-07-08

  机译： 用于视觉表示数学表达式的教学设备和方法

• 4. TEACHING APPARATUS AND METHOD FOR VISUALLY REPRESENTING POLYNOMIAL EXPRESSIONS [P] . CA2131245A1 . 1995-03-04

  机译： 视觉表示多项式表达的教学设备和方法

• 5. Teaching apparatus and method for visually representing polynomial expressions [P] . 美国专利： US5433611A . 1995-07-18

  机译： 用于视觉表示多项式表达式的教学设备和方法

• 1. A Method for Representing Mathematical Expressions as Words in Natural Language [C] . Takayuki WATABE, Yoshinori MIYAZAKI KES International Conference on Intelligent Decision Technologies . 2014
• 2. Effects of a videodisc problem-solving approach embedded in constructivist-based instruction in mathematics methods course on preservice teachers' decisions about teaching mathematics strategies and attitudes toward mathematics and technologies. [D] . Kim, Min Kyeong. 1997
• 3. Teaching science and mathematics to students with visual impairments: Reflections of a visually impaired technician [O] . Mbulaheni Maguvhe 2015
• 4. Effects of a videodisc problem solving approach embedded in constructivist-based instruction in mathematics methods course on preservice teachers\u27 decisions about teaching mathematics strategies and attitudes toward mathematics and technologies [O] . Kim, Min Kyeong 1997

• 1. Research for Using Information Technology in the Design of Effective Mathematics Teaching Methods [J] . Yongming Lu ,Yunhong Xiao . International Journal of Technology Management . 2014,第006期
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• 3. BACKGROUND： Vibrio vulnifi cus inside the body could activate the NF-!B signaling pathwayand initiate the inflammatory cascade. The lung is one of the earliest organs affected by sepsisassociated with acute lung injury. High mobility group protein B1 （HMGB1） is an important late-actingpro-infl ammatory cytokine involving in the pathophysiology of sepsis. It is also involved in the injuryprocess in the lung, liver and intestine. There has been no report on the involvement of HMGB1 inVibrio vulnifi cus sepsis-induced lung injury.METHODS： Sixty rats were randomly divided into a normal control group （group A, n=10） anda Vibrio vulnificus sepsis group （group B, n=50）. Sepsis was induced in the rats by subcutaneousinjection of Vibrio vulnificus （concentration 6×108 cfu/mL, volume 0.1 mL/100g）） into the left lowerlimbs. The rats in group B were sacrifi ced separately 1, 6, 12, 24, and 48 hours after the infection.Their lungs were stored as specimens, lung water content was measured, and lung pathology wasobserved under a light microscope. The expressions of the HMGB1 gene and protein in the lungswere detected by RT-PCR and Western blot. Data were analyzed with one-way analysis of variance（ANOVA） and the LSD method for pair-wise comparison between the two groups. P〈0.05 wasconsidered statistically signifi cant.RESULTS： Compared to group A （0.652±0.177）, HMGB1 mRNA expression in the lungs ofgroup B was signifi cantly higher at 0 hour （1.161±0.358, P=0.013）, 24 hours （1.679±0.235, P=0.000）,and 48 hours （1.258±0.274, P=0.004） （P〈0.05）, and peaked at 24 hours. Compared to group A（0.594±0.190）, HMGB1 protein expression at 6 hours （1.408±0.567, P=0.026） after infection wassignificantly increased （P〈0. 05）, and peaked at 24 hours （2.415±1.064, P=0.000） after infection.Compared to group A （0.699±0.054）, lung water content was significantly increased at 6 hours（0.759±0.030, P=0.001）,12 hours （0.767±0.023, P=0.000）, 24 hours （0.771±0.043, P=0.000） and 48hours （0.789±0.137, P=0.000） after infection （P〈0.05）. Compared to group A, pathological changesat 12 hours in group B indicate marked pulmonary vascular congestion, interstitial edema andinfl ammatory infi ltration. Alveolar cavity collapse and boundaries of the alveolar septum could not beclearly identifi ed.CONCLUSION： Vibrio vulnifi cus sepsis can lead to injury in rat lungs, and increased HMGB1expression in lung tissue may be one of the mechanisms for injury from Vibrio vulnifi cus sepsis. [J] . Qiao-meng Qiu ,Zhong-wang Li ,Lu-ming Tang . 世界急诊医学杂志(英文) . 2011,第4期
• 4. Foreign Language Teaching MethodologyAnd the Foreign Language Teaching in China——Combination of Several Methods in College English Teaching [J] . 朱坤玲 ,杨文文 . 科技信息 . 2010,第035期
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• 6. 在智能数学系统中领域知识的一种表示方法的探讨 [C] . 储军杰 . 全国青年计算机工作者学术交流会 . 1987
• 7. 人类视觉感知经验的数学化表示及其在深度估算中的应用 [A] . 林祥明 . 2010