This paper transfers a randomized algorithm originally used in geometric optimization to computational commutative algebra. We show that Clarkson’s sampling algorithm can be applied to two separate problems in computational algebra: solving large-scale polynomial systems, for which we utilize a Helly-type result for algebraic varieties, and finding small generating sets of graded ideals. The co...

We resolve an open problem due to Tetsuo Asano, showing how to compute the shortest path in a polygon, given in a read only memory, using sublinear space and subquadratic time. Specifically, given a simple polygon P with n vertices in a read only memory, and additional working memory of size m, the new algorithm computes the shortest path (in P ) in O(n2/m) expected time, assuming m = O(n/ log ...

secular ethics – which is known as the de-religionized, human, or conventional ethics – contrasts the religious and divine ethics. its roots are in humanistic thought that adapts itself to the needs and the direction of the society. therefore, the contraction and dilation of secular ethics will be unstable, gradual, and accidental. moreover, it is not possible to expect this thought system to p...

Although political views have been thought to arise largely from individuals' experiences, recent research suggests that they may have a biological basis. We present evidence that variations in political attitudes correlate with physiological traits. In a group of 46 adult participants with strong political beliefs, individuals with measurably lower physical sensitivities to sudden noises and t...

Since the publication of Anscombe’s famous paper “Modern Moral Philosophy” (1958), virtue ethics has become a matter of discussion among scholars. At least four charges have been raised against virtue ethics, one of which is the charge of promoting undue enthusiasm regarding the moral fitness of human beings. This article explores the limits of virtue ethics with regard to the frailty of human ...

background: the four pillars of ethics are human dignity, beneficence, non-malfeasance and justice. among the application of ethics in medical research we can look at all of any of these principles specially. in the other hand, in iran there is a long history in the field of medical science and medical ethics from earlier muslim scholars to islamic flourishing period. in this study we aimed to ...

Travel convenience is impacted by a number of factors, including the condition road, traffic, length trip, accidents, speed, etc. The daily increase in accident rates poses biggest concern. These events not only result fatalities but also nation's financial losses. Traffic congestion brought on road users' lack discipline and sentiments, which may traffic offenses. goals this research are to cu...