| finiteE | Make endpoints of intervals finite |
| inner_product_phi | Represent <x'(phi)_i, x'(phi)_j> as a quadratic function in... |
| is_integer_between_a_b | Checks if input is an integer between a and b |
| isSameIntervals | Comparison between two intervals |
| kmeans_compute_S_genCov | Compute set S for isotropic case |
| kmeans_compute_S_iso | Compute set S for isotropic case |
| kmeans_estimation | Perform k-means clustering on a data matrix. |
| kmeans_inference | Test for a difference in means between clusters of... |
| magicfun | A helper function for approximating normal tail probabilities |
| minus_quad_ineq | Implement the minus operation for two quadratic inequalities |
| norm_phi_canonical_kmeans | Represent <x'(phi)_i, x'(phi)_j> as a quadratic function in... |
| norm_sq_phi | Represent ||x'(phi)_i-x'(phi)_j||_2^2 as a quadratic function... |
| norm_vec | Takes the l2-norm of a vector. |
| preserve_cl | Checks if Ck, Ck' in C(x'(phi)) |
| same_cl | Checks if two clusterings are the same up to permutation |
| solve_one_ineq | Solve the roots of quadratic polynomials related to testing... |
| solve_one_ineq_complement | Solve the roots of quadratic polynomials related to testing... |
| sortE | Make endpoints of intervals positive |
| summary.kmeans_inference | Summarize the inferential result for k-means clustering |
| TChisqRatioApprox | Approximation of the ratio of two chi-squared probabilities |
| TNProb | Probability of a standard normal in a union of intervals |
| TNProbEachInt | Probability of a standard normal in a single interval |
| TNRatioApprox | Approximation of the ratio of two normal probabilities |
| TNSurv | Survival function of truncated normal distribution |
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