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Ono & Soundararajan (1997) showed that the generalized Riemann hypothesis implies that Ramanujan's integral quadratic form x 2 + y 2 + 10z 2 represents all integers that it represents locally, with exactly 18 exceptions. In 2021, Alexander (Alex) Dunn and Maksym Radziwill proved Patterson's conjecture on cubic Gauss sums, under the assumption ...
Problems (Greek: Προβλήματα; Latin: Problemata) is an Aristotelian or possibly pseudo-Aristotelian [1] collection of problems written in a question and answer format.
In its ancient usage, hypothesis referred to a summary of the plot of a classical drama.The English word hypothesis comes from the ancient Greek word ὑπόθεσις (hypothesis), whose literal or etymological sense is "putting or placing under" and hence in extended use has many other meanings including "supposition".
The above image shows a table with some of the most common test statistics and their corresponding tests or models.. A statistical hypothesis test is a method of statistical inference used to decide whether the data sufficiently supports a particular hypothesis.
In the mathematical field of geometric topology, the Poincaré conjecture (UK: / ˈ p w æ̃ k ær eɪ /, [2] US: / ˌ p w æ̃ k ɑː ˈ r eɪ /, [3] [4] French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.
In statistics, Mallows's, [1] [2] named for Colin Lingwood Mallows, is used to assess the fit of a regression model that has been estimated using ordinary least squares.It is applied in the context of model selection, where a number of predictor variables are available for predicting some outcome, and the goal is to find the best model involving a subset of these predictors.
Bayes' theorem applied to an event space generated by continuous random variables X and Y with known probability distributions. There exists an instance of Bayes' theorem for each point in the domain. In practice, these instances might be parametrized by writing the specified probability densities as a function of x and y.
1988 Iturralde-Vinent, M. 1988. Composición y edad de los depósitos del fondo oceánico (asociación ofiolítica) del Mesozoico de Cuba, en el ejemplo de Camagüey. Rev. Tecnológica XVIII(3):13-24. 1988 Iturralde-Vinent, M. & T. Marí Morales, 1988. Toleitas del Tithoniano de la Sierra de Camaján, Camagüey: Posible datación de la corteza ...