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If the mean =, the first factor is 1, and the Fourier transform is, apart from a constant factor, a normal density on the frequency domain, with mean 0 and variance /. In particular, the standard normal distribution φ {\textstyle \varphi } is an eigenfunction of the Fourier transform.
The Sykes–Picot Agreement (/ ˈ s aɪ k s ˈ p iː k oʊ,-p ɪ ˈ k oʊ,-p iː ˈ k oʊ / [1]) was a 1916 secret treaty between the United Kingdom and France, with assent from Russia and Italy, to define their mutually agreed spheres of influence and control in an eventual partition of the Ottoman Empire.
Decimal fractions like 0.3 and 25.12 are a special type of rational numbers since their denominator is a power of 10. For instance, 0.3 is equal to , and 25.12 is equal to . [20] Every rational number corresponds to a finite or a repeating decimal. [21] [c]
In June 2012, the Congressional Budget Office summarized the cause of change between its January 2001 estimate of a $5.6 trillion cumulative surplus between 2002 and 2011 and the actual $6.1 trillion cumulative deficit that occurred, an unfavorable "turnaround" or debt increase of $11.7 trillion.
The Congressional Budget Office estimated in March 2009 that under the Obama administration public debt would rise from 40.8% of GDP in 2008 to 70.1% in 2012. [63] Gross debt did rise to 84.5% of GDP at the end of Fiscal Year 2009 and to 93.5% of GDP at the end of the fiscal year 2010.
Emissivity of a body at a given temperature is the ratio of the total emissive power of a body to the total emissive power of a perfectly black body at that temperature. Following Planck's law , the total energy radiated increases with temperature while the peak of the emission spectrum shifts to shorter wavelengths.
Politically, Europe is divided into about fifty sovereign states, of which Russia is the largest and most populous, spanning 39% of the continent and comprising 15% of its population. Europe had a total population of about 745 million (about 10% of the world population ) in 2021; the third-largest after Asia and Africa.
The history of England during the Late Middle Ages covers from the thirteenth century, the end of the Angevins, and the accession of Henry II – considered by many to mark the start of the Plantagenet dynasty – until the accession to the throne of the Tudor dynasty in 1485, which is often taken as the most convenient marker for the end of the Middle Ages and the start of the English ...