Sentence examples for following point values from inspiring English sources

Students responded to SAS statements on a 5-part Likert scale to which we assigned the following point values: 1 = "strongly disagree," 2 = "disagree," 3 = "I'm not sure," 4 = "agree," 5 = "strongly agree".

According to the staining intensity, the cells were assigned the following point values: 0 points for no staining; 1 point for pale yellow staining; 2 points for brown-yellow staining; and 3 points for dark brown staining.

Our analysis is performed from the following points: (1) stationary fitness values, (2) time series of fitness in the transitional state, (3) mutant's fitness distribution, and (4) the strength of selection pressure.

Therefore, the following points were selected as the optimal values: deck tilt angle 12o, feed water flow rate and wash water flow rate 12 (L/min) and size fraction − 5 + 2 mm.

We categorized the exposure index into three levels using the following cut-point values: zero; greater than zero but less than median index value among controls; and greater than median index value among controls.

If, then boundary value problem (1.5) reduces to the following two point boundary value problem: (1.10).

Now we consider the following three point boundary value problem.

Wang et al. [27] studied the following two point boundary value problem for fractional differential equations with different boundary conditions: left { textstylebegin{array}{l} D_{0+}^{alpha} phi_{p} (D_{0+}^{beta}u(t))=f t,u(t),D_{0+}^{beta }u(t)), u(0)=0, qquad D_{0+}^{beta}u(0)=D_{0+}^{beta}u(1), end{array}displaystyle right.

The result was extended to the case of a boundary value problem by Chen et al. [26] who studied sufficient conditions for existence results for the following two point boundary value problem: left { textstylebegin{array}{l} D_{0+}^{alpha} phi_{p} (D_{0+}^{beta}u(t))=f t,u(t),D_{0+}^{beta }u(t)), D_{0+}^{beta}u(0)=D_{0+}^{beta}u(1)=0, end{array}displaystyle right.

In this paper, we study the existence of multiple solutions to the following three-point boundary value problem for a class of third-order differential equations with inhomogeneous three-point boundary values, (1.1).

Consider the following four-point boundary value problem.