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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 (1,299 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 (268 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 (527 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 (3,121 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 (2,175 words) [view diff] exact match in snippet view article find links to article
vℓ(p)−vr(p)≤1{\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)=x3−7x+7,{\displaystyle p(x)=x^{3}-7x+7Factorization of polynomials (4,254 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 anxn+an−1xn−1+⋯+a1x+a0{\displaystyleMultivariate analysis of variance (1,236 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 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 HeadEnglish cricket team in Sri Lanka in 2020–21 (1,643 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 MathewsComplex number (11,261 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 (1,911 words) [view diff] no match in snippet view article find links to article
June 2018. Retrieved 8 September 2018. "Statistics / Statsguru / JE Root / Test Matches / High Scores". ESPNcricinfo. Archived from the original on 13Graciela González Farías (207 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 DickeyHysteresis (economics) (809 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 (6,382 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 (9,587 words) [view diff] exact match in snippet view article find links to article
qx−p{\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 (because