Retraction: On Hilbert’s 8th problem

A Resolution to Hilberts First Problem

The continuum hypothesis (CH) is one of and if not the most important open problems in set theory, one that is important for both mathematical and philosophical reasons. The general problem is determining whether there is an infinite set of real numbers that cannot be put into one-to-one correspondence with the natural numbers or be put into one-to-one correspondence with the real numbers respe...

A Note on Hilberts Operator

LEMMA L 1 When Kp< oo, then &fis a continuous (bounded) linear transformation with both domain and range Lp( — <*> , oo ), and § 2 / = — ƒ. LEMMA 2. Whenf(t)ÇzLi(— <*>, oo), then §ƒ exists for almost all x in ( — oo , co ), but does not necessarily belong to Li(a, b), where a, b are arbitrary numbers(— oo ^a<b^ oo) ; however (l+x)~\ &f\ÇzLi(— oo , co) when 0<q<l. When f and ^f belong to Li(— oo...

The Problem Of Retraction In Critical Discussion

In many contexts a retraction of commitment is frowned upon. For instance, it is not appreciated, generally. if one withdraws a promise or denies an earlier statement. Critical discussion, too, can easily be disrupted by retractions, if these occur too frequently and at critical points. But on the other hand, the very goal of critical discussion resolution of a dispute involves a retraction, ei...

8th Conference on Real Numbers and Computers

Announcement of Retraction

The editorial office of the Journal of Islamic Dental Association of Iran has recently determined that an original article entitled “Stress Distribution in Three-Implant- Retained Mandibular Overdentures Using Finite Element Analysis” authored by Ahmadzadeh A, Golmohammadi F, Mousavi N, Epakchi S. published in thewinter 2015 issue of the Journal of Islamic Dental Association of Iran [Journal of...