In this paper, we determine the forbidden set and give an explicit formula for the solutions of the difference equation xn+1 = axnxn−1 ⁄−bxn + cxn−2 , n ∈ N0 where a, b, c are positive real numbers and the initial conditions x−2, x−1, x0 are real numbers. We show that every admissible solution of that equation converges to zero if either a < c or a > c with (a − c)/b < 1. When a > c with (a − c)/b > 1, we prove that every admissible solution is unbounded. Finally, when a = c, we prove that every admissible solution converges to zero.
Cieľom výskumu bolo porovnať hodnoty a sebahodnotenie u dospievajúcich vyrastajúcich v centrách pre deti a rodinu (CDR) a u dospievajúcich vyrastajúcich v úplných rodinách. Výskumný súbor pozostával zo 63 dospievajúcich z centier pre deti a rodinu a 94 dospievajúcich z úplných rodín vo veku 15 – 20 rokov (M = 16,9; SD = 1,32). Na zistenie sebahodnotenia bola použitá Rosenbergova škála sebahodnotenia [RSES – Rosenberg Self-Esteem Scale, Rosenberg, 1965] a na zistenie hodnôt bol použitý Schwartzov dotazník hodnôt [PVQ – Portrait Value Questionnaire, Schwartz et al., 2001]. Zistili sme, že existuje štatisticky významný rozdiel medzi výskumnými skupinami v hodnotách univerzalizmus (p < 0,001; d = 0,95), sebariadenie (p < 0,001; d = 0,8), konformita (p < 0,05; d = 0,34), bezpečnosť (p < 0,01; d = 0,5) a benevolencia (p < 0,001; d = 0,587), zatiaľ čo pri hodnotách moc, úspech, stimulácia, hedonizmus a tradícia sme signifikantný rozdiel nezaznamenali. Adolescenti vyrastajúci v rodinách dosahovali vyššie skóre ako adolescenti vyrastajúci v centrách pre deti a rodinu v hodnotách univerzalizmus, sebariadenie, konformita, bezpečnosť a benevolencia. Pri sebahodnotení u dospievajúcich z centier pre deti a rodinu a u dospievajúcich vyrastajúcich v úplných rodinách bol zaznamenaný štatisticky významný rozdiel (p < 0,01; d = 0,461), pričom adolescenti vyrastajúci v centrách pre deti a rodiny dosahovali vyššie skóre. and The goal of this research was to compare values and self-esteem between adolescents growing up in the centres for children and families and adolescents growing up in complete families. The sample consisted of 63 adolescents from the centres for children and families and 94 adolescents from complete families, all of them aged from 15 to 20 (M = 16,9; SD = 1,32). To identify self-esteem, RSES – Rosenberg SelfEsteem scale (1965) was used and to identify values, PVQ – Portrait Value Questionnaire by Schwartz et al. (2001) was used. We discovered that there are significant differences between research groups in values universalism (p < 0,001; d = 0,95), self-direction (p < 0,001; d = 0,8), conformity (p < 0,05; d = 0,34), security (p < 0,01; d = 0,5) and benevolence (p < 0,001; d = 0,587), while we did not find statistically significant (p > 0,05) difference between groups in values: power, success, stimulation, hedonism and tradition. Adolescents growing up in families scored higher than adolescents growing up in centres for children and families in values universalism, self-direction, conformity, security and benevolence. We find a significant difference in self-esteem (p < 0,01; d = 0,461) between adolescents growing up in centres for children and family and those from complete families, whereas adolescents growing up scored higher.
Between the Baroque and Romanticism attitudes to death and the discursive framework of the emotional experience of dying fundamentally changed among the Catholic high nobility. The ideal baroque death was supposed to take the form of an extreme point at which the dying person confessed their sins through theatrical gestures and utterances. The deathbed ritual explicitly confirmed the denominational and spiritual orientation of the family. In succeeding generations, both aristocrats and commoners were expected to be confirmed in that orientation by a written and iconographic testimony rich in symbols. Romanticism, on the other hand, imbued the process of dying with sentiment, loving care and family cohesion, which among the high nobility brought solace and a peaceful death. Finally, between the Baroque and Romanticism the relative status of private and public experience of the last moments changed. The Baroque "theatrical" deathbed, which was presented with the central figure of the dying individual and the priest, was a public event. Gradually it changed into a more intimate, quiet contemplation with only a few witnesses gathered in the family circle. Moreover, the doctor came to replace the priest as the chief attendant at the dying person’s bedside. What remained unchanged was the anxious determination to conform to expected patterns of behaviour. By trying to fulfil the contemporary ideal of a "good death", the counts of Martinice and the princes of Schwarzenberg tried to affirm their unique position in Bohemian (and European) aristocratic society. Their emotional experience of death was intended to serve as an example to their descendants and form one of the constitutive elements of the family’s collective memory., Václav Grubhoffer, Josef Kadeřábek., and Obsahuje bibliografické odkazy