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Rational root theorem
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In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rationalDickey–Fuller test (1,349 words) [view diff] exact match in snippet view article find links to article
the unit root test (the probability of rejecting the null hypothesis of a unit root when there is one) and the power of the unit root test (the probabilityPhillips–Perron test (276 words) [view diff] exact match in snippet view article find links to article
Phillips–Perron test (named after Peter C. B. Phillips and Pierre Perron) is a unit root test. That is, it is used in time series analysis to test the null hypothesisADF-GLS test (545 words) [view diff] exact match in snippet view article find links to article
1992 as a modification of the augmented Dickey–Fuller test (ADF). A unit root test determines whether a time series variable is non-stationary using an autoregressiveCasus irreducibilis (3,405 words) [view diff] exact match in snippet view article find links to article
rational solution, while none of the possible roots given by the rational root test are actually roots. Since its discriminant is positive, it has three realBudan's theorem (2,241 words) [view diff] exact match in snippet view article find links to article
{\displaystyle v_{\ell }(p)-v_{r}(p)\leq 1} one has a "zero-root test" and a "one-root test". 1. Given the polynomial p ( x ) = x 3 − 7 x + 7 , {\displaystyleFactorization of polynomials (4,408 words) [view diff] exact match in snippet view article find links to article
linear factors with rational coefficients can be found using the rational root test. If the polynomial to be factored is a n x n + a n − 1 x n − 1 + ⋯ + aEnglish cricket team in Australia in 2021–22 (638 words) [view diff] case mismatch in snippet view article find links to article
England Dates 8 December 2021 – 18 January 2022 Captains Pat Cummins Joe Root Test series Result Australia won the 5-match series 4–0 Most runs Travis HeadMultivariate analysis of variance (1,274 words) [view diff] exact match in snippet view article find links to article
2015.10.007, S2CID 37620291 I.M. Johnstone, B. Nadler "Roy's largest root test under rank-one alternatives" arXiv preprint arXiv:1310.6581 (2013) FraneEnglish cricket team in Sri Lanka in 2020–21 (1,632 words) [view diff] case mismatch in snippet view article find links to article
Lanka England Dates 14 – 26 January 2021 Captains Dinesh Chandimal Joe Root Test series Result England won the 2-match series 2–0 Most runs Angelo MathewsGraciela González Farías (1,107 words) [view diff] case mismatch in snippet view article find links to article
North Carolina State University. Her doctoral dissertation, A New Unit Root Test for Autoregressive Time Series, was jointly supervised by David DickeyComplex number (12,059 words) [view diff] exact match in snippet view article find links to article
situation that cannot be rectified by factoring aided by the rational root test, if the cubic is irreducible; this is the so-called casus irreducibilisList of international cricket centuries by Joe Root (1,994 words) [view diff] no match in snippet view article find links to article
October 2024. Retrieved 9 October 2024. "Statistics / Statsguru / JE Root / Test Matches / High Scores". ESPNcricinfo. Archived from the original on 13Hysteresis (economics) (854 words) [view diff] exact match in snippet view article
U.S. state unemployment: new evidence using a nonlinear quantile unit root test". Applied Economics Letters. 25 (4): 249–253. doi:10.1080/13504851.2017Quartic function (6,853 words) [view diff] exact match in snippet view article find links to article
of rational and q = 0; this can readily be checked using the rational root test. A variant of the previous method is due to Euler. Unlike the previousCubic equation (10,311 words) [view diff] exact match in snippet view article find links to article
{\displaystyle qx-p,} with q and p being coprime integers. The rational root test allows finding q and p by examining a finite number of cases (becauseList of Indian inventions and discoveries (22,919 words) [view diff] case mismatch in snippet view article find links to article
Distributions of the Maximum Likelihood Estimates by C. R. Rao. Roy’s Largest Root Test, proposed the test in 1953 as part of his "union-intersection principle"