Let L/K be an abelian extension of number fields. We prove an uniform lower bound for the height in L∗ outside roots of unity. This lower bound depends only on the degree [L : K].

This article concerns the emergence, definition, and characteristic of phenomenon “post-truth” how its characteristics are used in connection with historical narratives by various political forces for their own goals. The article’s goal is to identify spreaders post-truth results domestic foreign policy, or, case spreader being a contesting politician vying power, electoral support. research ut...

allame tabatabaei believes that theory of fitrah (instinct qualities of human nature) rests upon the principle of general instinct conductance of creatures and considers this theory as a branch of it. he also believes in the theory of eternal inherent happiness and unhappiness of human being, explains it in a way that it can be compatible with the benevolent tendency in every human being’s natu...

meaning of islamic unity in two internal & external levels of diplomatic idea of islam has superior place. present situation of world of islam and various devilish plots for provoking disputes and enmity among the muslims shows well the necessity of this issue. undoubtedly, the survey of valuable experience of leaders of islamic world unity at present age, especially survey of seyed jamal al-di...

As a starting point, an important link is established between Brumer’s conjecture and the Brumer-Stark conjecture which allows one to translate recent progress on the former into new results on the latter. For example, if K/F is an abelian extension of relative degree 2p, p an odd prime, we prove the l-part of the Brumer-Stark conjecture for all odd primes l 6= p with F belonging to a wide clas...

Explaining the connection, if any, between simplicity and truth is among the deepest problems facing the philosophy of science, statistics, and machine learning. Say that an efficient truth-finding method minimizes worst-case costs en route to converging to the true answer to a theory choice problem. Let the costs considered include the number of times a false answer is selected, the number of ...

is bijective. This sounds easy enough. One should bear in mind, however, that nobody is able to write down explicitly a basis for such innocent Q-vector spaces as the real numbers V = R or the infinite product V = ∏∞ m=1Q. Indeed, to establish the existence of a basis in infinite-dimensional vector spaces one has to use the axiom of choice, or equivalently Zorn’s Lemma, and thereby abandons all...

Şerʻî hükümlerin kaynağı Kitap ve Sünnetin dilinin Arapça olmasının doğal bir sonucu olarak, Arap diline dair mesâil de fakihler tarafından inceleme konusu yapılmıştır. yaklaşımları daha çok istinbat özelinde olan usulcüler, lafızları dilbilimcilerden farklı şekilde taksimata tâbi tutmuşlardır. Hanefî usulünde lafzın manada istimali (kullanımı) açısından yapılan taksim bu kabil tasniflerdendir....