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United States v. Williams , 504 U.S. 36 (1992), was a U.S. Supreme Court case concerning the presentation of exculpatory evidence to a grand jury . It ruled that the federal courts do not have the supervisory power to require prosecutors to present exculpatory evidence to the grand jury.
In mathematics, a character sum is a sum () of values of a Dirichlet character χ modulo N, taken over a given range of values of n.Such sums are basic in a number of questions, for example in the distribution of quadratic residues, and in particular in the classical question of finding an upper bound for the least quadratic non-residue modulo N.
Srinivasa Ramanujan mentioned the sums in a 1918 paper. [1] In addition to the expansions discussed in this article, Ramanujan's sums are used in the proof of Vinogradov's theorem that every sufficiently large odd number is the sum of three primes. [2]
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series.Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.
In some cases, there may be more sums then variables. For example, if the integrand is a product of 3 functions of a common single variable, and each function is converted to a series expansion sum, the integrand is now a product of 3 sums, each sum corresponding to a distinct series expansion.
Williams v. North Carolina, 325 U.S. 226 (1945), is a United States Supreme Court case in which the Court held that a divorce decree granted by Nevada was not entitled to full faith and credit in North Carolina because the Nevada court lacked jurisdiction over the parties. [1] It was a follow-up to the Supreme Court's decision in Williams v.
“Blue Bloods” is saying goodbye to two special men: Treat Williams and his character, Lenny Ross. The former partner of New York Police Commissioner Francis “Frank” Reagan, played by Tom ...
Williams rolled down the window instead; Connoly then reached inside and removed a loaded revolver from his waistband. Williams was arrested for illegally carrying a handgun; a search incident to arrest revealed heroin both inside the car and on his person. Other weapons included a second revolver and a machete inside the vehicle.