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The function f is continuous at p if and only if the limit of f(x) as x approaches p exists and is equal to f(p). If f : M → N is a function between metric spaces M and N, then it is equivalent that f transforms every sequence in M which converges towards p into a sequence in N which converges towards f(p).
The studentized range distribution function arises from re-scaling the sample range R by the sample standard deviation s, since the studentized range is customarily tabulated in units of standard deviations, with the variable q = R ⁄ s. The derivation begins with a perfectly general form of the distribution function of the sample range, which ...
The United States has been the world's largest national economy in terms of GDP since around 1890. [100] For many years following the Great Depression of the 1930s, when the danger of recession appeared most serious, the government strengthened the economy by spending heavily itself or cutting taxes so that consumers would spend more and by ...
London is an ancient name, attested in the first century AD, usually in the Latinised form Londinium. [36] Modern scientific analyses of the name must account for the origins of the different forms found in early sources: Latin (usually Londinium), Old English (usually Lunden), and Welsh (usually Llundein), with reference to the known developments over time of sounds in those different languages.
For example, 198.51.100.0 / 24 is the prefix of the Internet Protocol version 4 network starting at the given address, having 24 bits allocated for the network prefix, and the remaining 8 bits reserved for host addressing. Addresses in the range 198.51.100.0 to 198.51.100.255 belong to this network.
As a side result, PDF viewing and creating PDF documents from any application are built-in features. [150] Reflecting its popularity with design users, macOS also has system support for a variety of professional video and image formats and includes an extensive pre-installed font library, featuring many prominent brand-name designs.
The tables below use figures from the British Board of Trade report on the disaster. [109] While the use of the Marconi wireless system did not achieve the result of bringing a rescue ship to Titanic before it sank, the use of wireless did bring Carpathia in time to rescue some of the survivors who otherwise would have perished due to exposure.
Switzerland is geographically divided among the Swiss Plateau, the Alps and the Jura; the Alps occupy the greater part of the territory, whereas most of the country's nearly 9 million people are concentrated on the plateau, which hosts its largest cities and economic centres, including Zurich, Geneva, and Lausanne.