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Consider the polynomial Q(x) = 3x 4 + 15x 2 + 10.In order for Eisenstein's criterion to apply for a prime number p it must divide both non-leading coefficients 15 and 10, which means only p = 5 could work, and indeed it does since 5 does not divide the leading coefficient 3, and its square 25 does not divide the constant coefficient 10.
In the U.S. legal system, service of process is the procedure by which a party to a lawsuit gives an appropriate notice of initial legal action to another party (such as a defendant), court, or administrative body in an effort to exercise jurisdiction over that person so as to force that person to respond to the proceeding in a court, body, or other tribunal.
An early example of an ineffective result was J. E. Littlewood's theorem of 1914, [1] that in the prime number theorem the differences of both ψ(x) and π(x) with their asymptotic estimates change sign infinitely often. [2] In 1933 Stanley Skewes obtained an effective upper bound for the first sign change, [3] now known as Skewes' number.
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
In United States law, ineffective assistance of counsel (IAC [1]) is a claim raised by a convicted criminal defendant asserting that the defendant's legal counsel performed so ineffectively that it deprived the defendant of the constitutional right guaranteed by the Assistance of Counsel Clause of the Sixth Amendment to the United States ...
The Trump administration ordered all heads of federal departments and agencies Thursday to provide lists of their lowest-performing employees.
Pennsylvania’s Punxsutawney Phil might be the most well-known weather-predicting groundhog, but a new list casts doubt on his accuracy.Phil did so poorly that even nonliving critters outshine ...
For the claim that F 1 is consistent has form "for all numbers n, n has the decidable property of not being a code for a proof of contradiction in F 1". If F 1 were in fact inconsistent, then F 2 would prove for some n that n is the code of a contradiction in F 1.