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The biological bases of resilience: resilience strategies in a chronic stress environment. An ever-increasing human population with chronic stress, causing a reduction in life expectancy, is subjecting organisms to harsher conditions than they have experienced in history. Therefore,’modern’ humans are living under conditions of ‘overload’, which threatens the functioning of the physiological system. In this review, we analyse the biological bases of the various strategies that species can evolve to face the stress of a bottleneck, through population reduction or other environmental changes. We discuss three different forms of adaptation, including the perception and response to the stress (conversion), the preparation for extreme events (resiliency) and the reallocation of resources and maintenance of physiological homeostasis (defense). We conclude that the final strategy applied by a species is determined by the specificities of the stress and the resources available. Thus, resilience is an intrinsic property of the species.Q: Existence of transcendental function? Let $$H(x)=\sum_{n=0}^\infty \frac{1}{2^{n}+x}$$ I know that if $x=0$ then $H(x)$ converges to $1$, so it must be a transcendental function, but what is it? I think it has something to do with $\arctan(x)$ but I don’t know how. A: Let $$F(x)=\sum_{n=0}^\infty \frac{1}{x^{n+1}}$$ $F$ is the inverse of $H$. If $x eq 0$, then $F(x)$ converges, since $$\left|F(x)-F(x+h)\right|\leq \sum_{n=0}^\infty \frac{1}{x^{n+1}+h}=\frac{1}{x-h}$$

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Friedrich Ebert Friedrich Ebert (20 December 1828 – 13 March 1914) was a German civil servant who was mayor of Breslau (Posen, now Wroclaw, Poland) from 1879 to 1884. His active participation in the German government during the First World War, as well as his continued involvement after the war, led to Ebert being considered a national icon and a symbol of the German Empire. Biography Ebert was born in Guben in the Prussian Province of Posen (now Wroclaw, Poland), as a descendant of the old Prussian nobility. He studied law in Berlin (where his mother was from) and became a judge. In 1854 he was employed by the Ministry of Finance as deputy director of the Hamburg tax office. In 1860 he was elected to the Prussian House of Representatives. On his return to Posen, Ebert married Franziska Jacobs, the daughter of a rich industrialist, and, in the same year, he was appointed administrative director of the ministry for trade and industry. Appointed mayor of Breslau in 1879 by the Prussian Minister-President Prittwitz und Gaffron, and re-elected in 1880, Ebert initially enjoyed little success as mayor. His initial views on the management of Breslau were criticized for their lack of modernity, and his own activities as mayor were marked by conspicuous expenditure. Ebert was nevertheless supported by the industrialists and financiers of the city (although he nevertheless came to have to struggle against the poorer classes for their support). As mayor of Breslau, Ebert’s greatest achievement was to ensure the sporting success of the city’s football team, Union Hessen Breslau. He had a large part of the city’s financial support transferred to the club, with his home, the “Eberthaus” being used as its headquarters. During the 1890s, Ebert led the Breslau City Football Association as its president. He was a member of the International Football Association (IFA), and was recognized as one of the first presidents of the newly founded Football Association of the German Empire (DFB). After the war, he was to play a major role in the development of the German Association for Football (DGF). In 1894, Ebert secured the transfer from the owner of the Union Hessen company, which had been suffering from financial difficulties,