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This study examined the effects of postsilanization interval and heat treatment on shear bond strength of composite resin to porcelain. One hundred and eighty square-shaped specimens were fabricated and sanded flat sequentially. The specimens were then randomly placed into six groups and 18 subgroups of 10 specimens each. An experimental and three commercially available silane systems, including two one-mix and one two-mix systems, were tested in this study. No silane treatment specimen was used as control. Specimens from the experimental and one of the Mirage groups were selected for heat treatment for 60 min at 60 degrees C. Three post-silanization intervals were scheduled. After incubation, a dual cure composite resin (Mirage FLC) was placed on the silanated surfaces and light-cured. All specimens were stored in 37 degrees C, 2% saline solution for 1 week and subjected to shear test using an Instron machine with cross-head speed of 5 mm/min. ANOVA and Scheffe tests were used to analyse data with confidence level at 95%. The mean values of the shear bond strengths ranged from 2.8 to 23.3 MPa. All groups showed significantly higher bond strength than the control group at the 3 min, 24 h and 1 week post-silanization periods (P < 0.05). Heat treatment groups recorded an increase in the shear bond strength and maintained significantly higher bond strength values (P < 0.05). In conclusion, bond strength of composite resin to porcelain resulting from silanization of porcelain increased after heat treatment and during the post-silanization periods. The bond strength also varied for different silane coupling agents tested in this study especially in the one-mix system.

The following will be proved:Theorem. Let ABC be a triangle such that the length of at least one side is rational and the squares of the lengths of all sides are rational. Then the set of points P whose distances P A, P B, P C to the vertices of the triangle are rational is dense in the plane of the triangle.Almering [1] established the theorem for a triangle with all sides of rational length. According to [3, p. 34] J. Leech has an elementary proof of this case. The proof of the theorem given here uses, as does Almering's proof of the special case, results from the theory of elliptic curves, but otherwise involves only elementary projective geometry.Explicit constructions of points at rational distance from the vertices of equilateral and isosceles right triangles can be found in [2]- [5]. It was the study of points at rational distance from the vertices of an isosceles right triangle in [2], which suggested the present proof. P r o o f o f t h e t h e o r e m. The notation is illustrated in Figure 1. As usual, a, b, c denote the lengths of the sides CB, AC, AB. In order to have homogeneous equations, we introduce the scale factor T and consider a

This study examined the long-term water storage affect of silanization on shear bond strength of composite resin to porcelain. One hundred and sixty square-shaped specimens were fabricated and sanded flat sequentially with silicone carbide papers. The specimens were then placed into four groups and 16 subgroups of 10 specimens each randomly. Four commercially available silane systems, two one-mix and two two-mix, were tested in this study. Teflon tubes with an internal diameter of 2.97 mm and 2 mm in height were filled with a dual cure composite resin (Mirage FLC), placed on the silanated surfaces and light-cured for 120 s. Specimens were stored in room temperature water and subjected to shear bond strength testing after 24 h, 1 week, 1 month and 3 month periods of immersion. An Instron Universal testing machine with a crosshead speed of 0.5 mm/min was used for the testing. The mean values of the shear bond strengths ranged from 4.38 MPa (24-h period) to 23.90 MPa (3-month period). ANOVA and Scheffe' tests were used to analyse data with confidence level at 95%. All groups recorded an increase in bond strength after one week as compared with the 24-h period (P<0.05). With the exception of a one-mix system, all systems showed significantly higher bond strength at 3 weeks as compared with the 24-h and 1-week water storage periods. In conclusion, bond strength of composite resin to porcelain resulting from silanization of porcelain increased during the experimental period. The bond strength also varied for different silanes used in this study.