DS-YOLOv5: Deformable and Scalable YOLOv5 for Mathematical Formula Detection in Scientific Documents

2021 ◽  
Author(s):  
Minh-Thang Nguyen ◽  
Thi-Lan Le ◽  
Lan Huong Nguyen Thi ◽  
Thu Ha Nguyen
Keyword(s):  
Mathematical Formula

Heat Transfer Analysis and Energy-Saving Methods of the Exterior Windows in the Northern Area

2014 ◽  
Vol 881-883 ◽  
pp. 1233-1236
Author(s):  
Zhong Hua Wang
Keyword(s):  
Heat Transfer ◽  
Thermal Resistance ◽  
Energy Saving ◽  
Outdoor Environment ◽  
Heat Transfer Analysis ◽  
Radiation Heat ◽  
Mathematical Formula ◽  
Factors Affecting ◽  
Northern Area ◽  
Indoor And Outdoor

In this paper, ways of heat transfer through windows and doors between the indoor and outdoor environment in the northern area are summarized. And every heat transfer way is described by mathematical formula. On this basis, methods to improve the energy saving performance of exterior windows are put forward according to factors affecting heat transfer through windows. The first method is increasing solar radiation heat, and then reducing heat loss by infiltration, and increasing the thermal resistance as much as possible. Ideal form of energy-saving window is proposed based on compared windows with different material and thermal resistance.

Development of a Mathematical Formula for the Calculation of Fingerprint Probabilities Based on Individual Characteristics

1977 ◽  
Vol 72 (360a) ◽  
pp. 772-778 ◽  
Author(s):  
James W. Osterburg ◽  
T. Parthasarathy ◽  
T. E. S. Raghavan ◽  
Stanley L. Sclove
Keyword(s):  
Individual Characteristics ◽  
Mathematical Formula

scholarly journals Placental Volumetry by 2-D Sonography with a New Mathematical Formula: Prospective Study on the Shell of a Spherical Sector Model

2015 ◽  
Vol 41 (8) ◽  
pp. 2252-2258 ◽  
Author(s):  
Zoltan Kozinszky ◽  
Andrea Surányi ◽  
Hajnalka Péics ◽  
András Molnár ◽  
Attila Pál
Keyword(s):  
Prospective Study ◽  
Mathematical Formula ◽  
Sector Model

Study on the Lateral Deformation of the Flexible Berthing Pile of High-Pile Wharf under Ship Impact Load

2015 ◽  
Vol 744-746 ◽  
pp. 1184-1187
Author(s):  
Qiu Zhai ◽  
Wen Xiang ◽  
Yu Li
Keyword(s):  
Iterative Method ◽  
Analytical Method ◽  
Impact Load ◽  
Correlation Coefficients ◽  
Structure Design ◽  
Horizontal Force ◽  
Lateral Deformation ◽  
Mathematical Formula ◽  
The Impact

Flexible berthing pile-high pile wharf is a system which is composed of flexible berthing pile, rubber fender and pile platform. The system was divided into two forms based on the pile platform sustained the impact load or not. The method to analysis the lateral deformation of the pile was relatively mature when the platform was subjected to the impact load. Instead, when the pile platform is subjected to the impact load, the analytical method is unsatisfactory because of the complexity about the lateral deformation of the system. This paper takes the second condition as the research object, and study the lateral deformation of the pile, rubber fender and the pile platform. The mathematical formula is built on the horizontal force balancing condition and displacement coordination at the top of pile, the method to evaluate the correlation coefficients of the formulas is suggested, and the steps that solve the formulas by iterative method are described. The theory is clear, and the result can offer a reference for structure design and code revision.

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