Introduction: Endodontic instruments are developed to provide a better cleaning of the root canal system and reduce its risk of fracture. The aim of this study was to evaluate the instrumentation time and cyclic fatigue resistance of WaveOne Gold, ProDesign R and ProDesign Logic files. Methods and Materials: Thirty Nickel-titanium (NiTi) rotary instruments were divided into 3 groups (n=10). ProDesign Logic file 25/0. 06 was used in continuous rotation after glide path preparation. WaveOne Gold 25/0. 07 and ProDesign R 25/0. 06 files were used in reciprocating motion. Every file instrumented 3 standardized artificial canals. The average time, the number of cycles (NCI) and cyclic fatigue resistance of each file were determined through the number of cycles to failure (NCF) in a stainless-steel device. The total amount of cycles to fracture was also calculated (NCI+NCF). Data was analyzed using the Kruskal-Wallis and Mann-Whitney tests. Results: The instrumentation time of the ProDesign Logic file was significantly lower when compared to the other files (P=0. 019). The longest times to failure were presented by ProDesign Logic (182. 07 sec) and ProDesign R (152. 38 sec) files. The same differences were observed for the NCF (910. 37 and 761. 93). The WaveOne Gold group presented a lower NCF as well as a smaller sum of NCI+NCF (748. 33) that was statistically significant when compared to the other groups (P<0. 05) respectively. Conclusion: The use of continuous rotational motion in canals with a glide path in the ProDesign Logic group led to shorter instrumentation time. The cyclic fatigue resistance of ProDesign R and Logic instruments was superior to WaveOne Gold. The thermal treatment of the instrument’ s alloy, its cross section and the glide path seems to influence the cyclic fatigue resistance.

Background & Purpose: In previous studies success rates of BLRree. and R& R surgeries on. basic exotropic patients have been reported 43-79% and 82% respectively. The aim of ibis study was comparison of these two techniques of surgeons on our XT. patients at Imarn Hossein Medical Center.Method & Pantients: After filling up personal and family characteristics form, complete eye examinations (B.C.V.A- Cycloretfaction- EOM- XT at 6m and 33 cm - slit and funds exam) were performed. Measurements were repeated at least 1.5 months after surgeries. Because of lower vision in R&R group, 5 pd more surgery were done to stabilize the deviated eye after operation. The patients were matched (range of age, sex, S.E of reflection, sergeon, followup). The results were interpretated by T, paired T and x and fisher tests.Results: 26 patients were in BLRree. and 21 pts. Were in R&R group. Their ages were 9±7 and 19±9 years, preop xT were 29±8 and 36±17 which decreased to 5±7 and 5±10 pd respectively. Success rates of these techniques were not different statistically. In BLRree. Group 69%,ortho (+8 pd) 27% under and 4% over and In. P&R group 81% ortho, 14% under and 5% over were seen.Conclusion: In our study these two methods of surgeries had no different statistically. More success rate in R&R group (81%) was due to both effects of 5 pd more operation and stabilizing effect of MR Rec.against it's direct antagonist muscle recession.

We prove that every R-quadratic metric of scalar flag curvature with a dimension greater than two is of constant flag curvature. Then we show that generalized Douglas-Weyl metrics contain R-quadratic metrics as a special case, but the class of R-quadratic metric is not closed under projective transformations.

A new class of continuous functions, namely s-R-continuous functions, is introduced. The relations of s-R-continuity with continuity and other variants of continuity are discussed. Basic Properties of s-R-continuous functions are studied. Conditions are established under which every weakly theta_cl-continuous function is s-R-continuous.

Allegorical interpretation (ta’wīl) has since long time ago been a focus of attention to some scholars including theologians, hadīth scholars, and interpreters in particular. The Holy Qur'an has also asserted some verses to be open to ta’wīl and regarded its application as a key to understanding the purpose of the Divine word. This guideline has prompted some interpreters – including Muhammad Tāhir Ibn-i ‘Āshūr, the author of Tafsīr al-Tahrīr wa al-Tanwīr–to explicate and clarify the content of some verses with the use of ta’wīl as a key.It is attempted, in this research, first to explain the concept of ta’wīl from the viewpoint of Inb-i ‘Āshūr and then to expose to the readers' judgment and understanding the way he has approached the ta’wīl of some equivocal verses and terms.

T h e i d e a t h a t a n y d e v i a t i o n s h o u l d b e r e c o g n i z e d a s s o o n a s p o s s i b l e w i l l o f t e n b e i m p r a c t i c a l. D e s p i t e t h e e x i s t e n c e o f n u m e r o u s a s s i g n a b l e c a u s e s i n t h e p r o c e s s, t h e i r e f f e c t s m a y b e s o s m a l l a n d m i n o r a g a i n s t t h e p e r m i s s i b l e t o l e r a n c e. I d e n t i f y i n g t h e m s e e m s u n e c o n o m i c a l f r o m p r a c t i c a l s i g h t s. I f t h e p r o c e s s r e a c h e s a h i g h l e v e l o f c a p a b i l i t y, t h e p r o d u c t i o n m a y b e a c c e p t a b l e e v e n t h o u g h a s s i g n a b l e c a u s e s b e f a l l. S i n c e c u s t o m e r e x p e c t a t i o n w i l l n o t b e a f f e c t e d i n t h i s c a s e, i t i s n o t e c o n o m i c a l t o s t o p t h e p r o c e s s. B y c o n s i d e r i n g t h e l e v e l o f s p e c i f i c a t i o n s, s o m e c h a n g e s i n t h e a v e r a g e c a n b e a l l o w e d. D i v i d i n g t h e c o n d i t i o n s o f t h e m o n i t o r e d p r o c e s s i n t o j u s t b l a c k a n d w h i t e c a n b e s i m p l i s t i c. I n s u c h c a s e s, t r a d i t i o n a l c o n t r o l c h a r t s w i t h t w o z o n e s a r e n o t a p p l i c a b l e. B y d e f i n i n g t h e z o n e o f i n d i f f e r e n c e, p e r m i s s i b l e d e v i a t i o n s c a n b e t o l e r a t e d. F o r s u c h a s i t u a t i o n, A c c e p t a n c e C o n t r o l C h a r t (A C C) i s d e v e l o p e d b a s e d o n t h r e e z o n e s. S u p p o s e t h a t a s t a t i s t i c a l l y a s s i g n a b l e c a u s e i s d e t e c t e d u s i n g t h e t r a d i t i o n a l c o n t r o l c h a r t s; h o w e v e r, n o s i g n a l i s o b s e r v e d b y t h e A C C. T h u s, t h i s c h a n g e d o e s n o t r e s u l t i n a n o n c o n f o r m i n g o u t p u t, a n d t h e r e i s n o n e e d t o s t o p p r o d u c t i o n s i n c e n o o p e r a t i o n a l l o s s o c c u r s. T h e m o s t i m p o r t a n t a s s u m p t i o n s o f t h e A C C a r e t h e n o r m a l i t y a n d i n d e p e n d e n c e o f t h e m o n i t o r e d d a t a. I n s o m e i n d u s t r i a l/n o n-i n d u s t r i a l p r o c e s s e s (e.g., c o n t i n u o u s p r o d u c t i o n p r o c e s s e s, f i n a n c i a l p r o c e s s e s, n e t w o r k m o n i t o r i n g, a n d e n v i r o n m e n t a l p h e n o m e n a), s e r i a l c o r r e l a t i o n c a n b e e x t r a c t e d a m o n g s a m p l e s w h i c h v i o l a t e s t h e a s s u m p t i o n o f i n d e p e n d e n c e. A u t o c o r r e l a t i o n r e d u c e s t h e p e r f o r m a n c e o f t r a d i t i o n a l c o n t r o l c h a r t s b y p r o d u c i n g f r e q u e n t f a l s e s i g n a l s i n t h e i n-c o n t r o l s t a t e o r m a k e s t h e m r e s p o n d s l o w l y t o t h e d e t e c t i o n o f t h e o u t-o f-c o n t r o l s t a t e. T h e m a i n p u r p o s e o f t h i s s t u d y i s t o d e v e l o p a n A C C f o r m o n i t o r i n g t h e d a t a o f t h e m o s t w i d e l y u s e d a u t o c o r r e l a t e d p r o c e s s, n a m e l y t h e f i r s t-o r d e r a u t o r e g r e s s i v e p r o c e s s A R(1). I n t h i s r e g a r d, t w o t y p e s o f A C C a r e e x t e n d e d f o r t h e r e s i d u a l s o f A R(1) p r o c e s s e s. U p o n e v a l u a t i n g t h e p e r f o r m a n c e o f m o n i t o r i n g m e t h o d s u s i n g t h e a v e r a g e r u n l e n g t h (A R L), i t i s f o u n d t h a t t h e p r o p o s e d E W M A c h a r t h a s b e t t e r r e s u l t s. M o r e o v e r, t h e e c o n o m i c-s t a t i s t i c a l d e s i g n o f t h e p r o p o s e d c h a r t i s c a r r i e d o u t a t a l o w e r c o s t.