This paper starts by discussing Nelson’s philosophy of mathematics, which is a blend of mathematical formalism and a radical constructivism. As such, it makes strong assertions about the foundations of mathematic and the reality of mathematical objects. We then offer our own suggestions for the definition of mathematics and the nature of mathematical reality. We suggest a second characterizatio...

As brushless DC motor (BLDCM) is a multivariable and non-linear system, using conventional PID control can not obtain satisfied control effect. Based on the mathematic model of BLDCM, a fuzzy neural network controller is designed, and the membership function is composed by Guass function. The system illustrates that excellent flexibility and adaptability as well as high precision and good robus...

Data Envelopment Analysis (DEA) is a mathematic technique to evaluate the relative efficiency of a group of homogeneous decision making units (DMUs) with multiple inputs and outputs. The efficiency of each unit is measured based on its distance to the production possibility set (PPS). In this paper, the BCC model is used in output-oriented. The average return on profit as output and the covaria...

In this paper we present a new model for calculating the capacitance of MEMS sensor with corrugated diaphragm. In this work the effect of residual stress is considered on deflection of diaphragm and capacitance of sensor. First, a new analytical analyzes have been carried out to derive mathematic expressions for central deflection of corrugated diaphragm and its relationship with residual stres...

The mechanical and electrochemical performance of carbon fiber-reinforced polymer (CFRP) were investigated regarding a novel improvement in the load-carrying capacity and durability of reinforced concrete structures by adopting CFRP as both a structural strengthener and an anode of the impressed current cathodic protection (ICCP) system. The mechanical and anode performance of CFRP were investi...