The phrase "application of the property" is correct and usable in written English.
It can be used in contexts where you are discussing how a specific property or characteristic is utilized or implemented in a particular situation or field.
Example: "The application of the property of elasticity in materials science allows engineers to design more flexible structures."
Alternatives: "utilization of the property" or "implementation of the property".
Most of the land exempted from a property tax comprises streets, schools, parks, and other property of local government, meaning that the application of the property tax to it would merely transfer funds from one government account to another.
As an application of the property (a), we will consider in Section 3 the following quasilinear elliptic equation: left { textstylebegin{array}{l@{quad}l} -Delta u-Delta_{p} u=f x,u +h(x),&xinOmega, u=0,&xinpartialOmega, end{array}displaystyle right.
As an application of the property (b), in Section 4, we will investigate the existence of least energy sign-changing solution of the following equation: left { textstylebegin{array}{l@{quad}l} -Delta u-Delta_{p} u=g u),& xinOmega, u=0,& xinpartialOmega.
Mostly the arguments for identity depend on the relativity of the application of the property, e.g., the bad is the same as the good because disease is bad for the patient but good for the doctor, while the arguments for non-identity rely on the absence of relativity, e.g., doing what is good for one's parents is not the same thing as doing what is bad for one's parents.
The following lemma is a straightforward application of the properties of the integral.
As an application of the properties of Green's function, we give the existence of multiple positive solutions for the above mentioned singular boundary value problems.
Here, a direct application of the properties of the Cauchy integral operator and existing power series expansions allows one to represent the solution in terms of integral operators and Taylor series expansions.
The substitution of (12) into (11) and the application of the properties of the Kronecker product together yield the following second-order sparse expression for the array signal: begin{array}rcl@ textbf{X} = left[{left {textbf{F}^{- 1}}right)^{T}} otimes boldsymbol{Psi}right]{boldsymbol{chi}} end{array} (13).
This assertion comes from equality (113) and the application of the properties of the q-Laplace transform, stated in Proposition 7 in the same manner as it has been done throughout the work, so we omit the details at this point.
(201) Another application of the properties of gelling agents is to exploit the fact that they can be quite temperature resistant; unlike gelatin gels which typically melt around 30−40 °C, some gels such as agar can have a melting temperature up to almost 100 °C.
Applications of the property trends to materials selection for hard coatings demonstrate that this approach can be used, not only to interpret existing experimental observations, but also to predict new materials with the desired properties for coating design.
