Fibonacci universal code from Gopala-Hemachandra sequence. Thereby, we describe the uses of this code in cryptography with an illustrative example.

generalized convexity (viz. LU and LS-pseudoconvexity) and generalized differentiability (viz. gHdifferentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples.

Artykuł oparty został na doświadczeniach z eksploatacji urządzeń DSAT na sieci kolejowej zarządzanej przez PKP Polskie Linie Kolejowe S.A. na przestrzeni 2002 - 2009 roku oraz doświadczeń z wdrażania systemu informatycznego SID, przeznaczonego do zarządzania informacjami technicznymi o taborze kolejowym.

acquired information. We has described in the paper our experience from operating DSAT devices on railway network administrated by PKP Polish Railway Lines JCS, within the period between 2002 and 2009 and also the experience from implementation the SID IT system, which was designed for managing of rolling stock technical information.

wzrostu, np. karłowatości u dzieci. Opracowano formę farmaceutyczną dla tej substancji.

were blocked with the following groups: Asp, cyclohexyl; Ser and Thr, benzyl; and Tyr 2-bromobenzyloxycarbonyl. Boc(Fmoc)Lys were added at positions 11, 12, 20, 21 and 29 to have at further steps the analog contg. hArg in these positions. Boc was removed with 55% TFA in dichloromethane, and Fmoc was removed with 50% piperidine in DMF. After Fmoc was removed from Lys, the substituted guanidine group was introduced by the reaction with N,N’- bis(tert-butyloxycarbonyl)-S-methylisothiourea in the presence of 4-(N,N N dimethylamino)pyridine. All Boc were removed from the fully protected peptidyl polymer by the reaction with trifluoroacetic acid. The remaining protecting groups left the peptide while it was cleaved from the resin with liq. HF. The HF was removed, the residue was washed with Et2O, and crude peptide was extd. with 50% AcOH and lyophilized. The acetate form was obtained on an ion-exchange resin and preparative HPLC gave 99.7% pure A. Polysulfonic filters were used during the preparation of the stable and reproducible pharmaceutical form of A, viz., an aq. lyophilizate (phosphate buffer) contg. 100 µg peptide A and mannitol per ampule. Peptide A was about a few score times as bioactive as the hGH-RH reference peptide, completely nontoxic in doses up to 120 ìg and resistant to enzymatic degradation, increased the level of hGH and the no. of somatotropic cells in animal pituitary glands, and affected no other pituitary hormones.