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2 hours ago · The AA similarity criterion states that if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. Alternatively, we could also have demonstrated that since angle 𝐴 is common to both triangles, then ∠ 𝐵 𝐴 𝐶 = ∠ 𝐷 𝐴 𝐸 .
1 day ago · Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
1 day ago · v. t. e. Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
1 day ago · Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing. The data is linearly transformed onto a new coordinate system such that the directions (principal components) capturing the largest variation in the data can be easily identified.
2 hours ago · The proposed methodology exploits the INTERCLASS-nB method to assign each element in a set of actions to preferentially ordered classes; then, creating a portfolio with the stocks that were assigned to the best class and supporting each of these with an equal amount of resources; finally, using a back-testing strategy to compare the results of the proposal with those of the benchmark approaches.
Each pair consists of one chromosome inherited from the person’s biological mother and one chromosome inherited from the biological father. Additionally, every person carries two copies of each gene: one gene from their mother and one gene from their father.
1 day ago · The second law of thermodynamics is a physical law based on universal empirical observation concerning heat and energy interconversions. A simple statement of the law is that heat always flows spontaneously from hotter to colder regions of matter (or 'downhill' in terms of the temperature gradient).
