Az AutoForm programrendszer alkalmazási tapasztalatai a Hajdu Autotechnika Ipari Zrt.-nél

On a Problem of Hajdu and Tengely

We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a, b, c, d) is (1, 1, 1, 1). For the proof, we first reduce the problem to that of determining the sets of rational points on three specific hyperelliptic curves of genus 4. A 2-cover descent computation shows that there are no rational points on two of these curves. We find generat...

Hajdu-Cheney syndrome: a review

Hajdu Cheney Syndrome (HCS), Orpha 955, is a rare disease characterized by acroosteolysis, severe osteoporosis, short stature, specific craniofacial features, wormian bones, neurological symptoms, cardiovascular defects and polycystic kidneys. HCS is rare and is inherited as autosomal dominant although many sporadic cases have been reported. HCS is associated with mutations in exon 34 of NOTCH2...

A patient with acro-osteolysis syndrome: Hajdu-Cheney.

Hajdu-Cheney syndrome is an autosomal dominant acroosteolysis syndrome, in which clinical and radiological abnormalities develop at different stages of life. A 26-year-old woman visited our rheumatology clinic for progressive shortening of her terminal phalanges. Radiographs showed acro-osteolysis and classic midphalangeal band-like resorption of the terminal phalanges affecting multiple digits...

Hajdu-Cheney syndrome - a rare cause of micrognathia

A generalization of the AZ identity

We associate with every ~ c 2 ~ the upset U(~) = {U c gt : U D E for some E E ~} and the downset ~ ) ( 8 ) {D c ~ : D C E for some E C $}. W h e n ~d is an antichain in the poset (2 ~, D), then the identi ty becomes 1 w a ( x ) = 1. (1) ~ ~ + ~ Ixl(,;~,------5 xe~ (Ixr) xeu(~)\~ The LYM inequality is obtained by omission of the second summand, which by definition of W~ can also be wri t ten in ...