Curious consequences of a well-known dynamical theorem

Some Consequences of a Well Known Theorem on Conics

A Curious Proof of Fermat's Little Theorem

Fermat’s little theorem states that for p prime and a ∈ Z, p divides a − a. This result is of huge importance in elementary and algebraic number theory. For instance, with its help we obtain the so-called Frobenius automorphism of a finite field Fpn over Fp. This theorem has many interesting and sometimes unexpected proofs. One classical proof is based upon properties of binomial coefficients. ...

The Basic Theorem and its Consequences

Let T be a compact Hausdorff topological space and let M denote an n–dimensional subspace of the space C(T ), the space of real–valued continuous functions on T and let the space be equipped with the uniform norm. Zukhovitskii [7] attributes the Basic Theorem to E.Ya.Remez and gives a proof by duality. He also gives a proof due to Shnirel’man, which uses Helly’s Theorem, now the paper obtains a...

A Critical Study of the Well-known Opinion of Shiite Jurists on the Inheritance of a Bastard

According to the well-known opinion of Shiite jurists a child born out of wedlock is prohibited from inheriting from his/her own natural parents. This rule, however, is not among those consensual laws which accept no new rereading. The evidence supporting this law is, basically, some single hadiths (khabar wāhid) which suffer from weakness in terms of authenticity and indication and implication...

Epilepsy...The well-known; yet a lot to be known..

Historically, demonic possession and act of spirits were suspected to explain the strange symptoms of epilepsy. Even nowadays, not all symptoms of epilepsy are clear. Some epileptic semiology's are very bizarre reflecting the little we know about human brain. Focal non motor seizures are subjective experiences. Frontal hyper motor seizures can be wrongly diagnosed as agitations. Absence attacks...