OCME · Bilingual mathematics & derivations

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Question batch · 100 questions

Valid Cliques, Independent Sets, Inclusion-Maximality and Global Extrema

Cliques and independent sets

batch-20261014-advance-20261106-r02-clique-and-independent-set-foundations

Question batch · 100 questions

Proper Palettes, Exact Chromatic Minima and Independent Certificate Flags

Chromatic number

batch-20261014-advance-20261106-r01-chromatic-number-foundations

Question batch · 100 questions

Declared IID Premises, Chebyshev Upper Bounds and Strict All-n Tails

Weak law of large numbers

batch-20261014-advance-20261105-r07-weak-law-large-numbers-foundations

Question batch · 100 questions

Complete Fibre Pushforwards, Parameter Families and Nonclaim Markers

Sampling distribution

batch-20261014-advance-20261105-r06-sampling-distribution-foundations

Question batch · 100 questions

Both Continuity Directions, Finite Discrete Scope and Metric Boundaries

Homeomorphism

batch-20261014-advance-20261105-r05-homeomorphism-foundations

Question batch · 100 questions

Single-Use Edges, Degree Parity, Support Connectivity and Zero Circuits

Euler trails and circuits

batch-20261014-advance-20261105-r04-eulerian-trail-foundations

Question batch · 100 questions

Exact Division Chains, Signed Bezout Witnesses and Zero Boundaries

Euclidean algorithm

batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations

Question batch · 100 questions

Functional Pairings, Dual Bases and Opposite Coordinate Laws

Dual vector space

batch-20261014-advance-20261105-r02-dual-vector-space-foundations

Question batch · 100 questions

Unique Decompositions, Ambient Coverage and Multi-Summand Independence

Direct sum of subspaces

batch-20261014-advance-20261105-r01-direct-sum-foundations

Question batch · 100 questions

Exact Finite-Atomic p-Moments, Moment Tolerances and Symbolic Tails

Lp convergence

batch-20261014-advance-20261104-r07-lp-convergence-foundations

Question batch · 100 questions

Full-Vertex Connectivity, Acyclicity, Edge Counts and Unweighted Boundaries

Spanning tree

batch-20261014-advance-20261104-r06-spanning-tree-foundations

Question batch · 100 questions

Normalized CRT Solutions, Product Uniqueness and Noncoprime Compatibility

Chinese remainder theorem

batch-20261014-advance-20261104-r05-chinese-remainder-theorem-foundations

Question batch · 100 questions

One Total Statistic, Observed Estimates, Expectations and Nonclaim Markers

Statistical estimator

batch-20261014-advance-20261104-r04-statistical-estimator-foundations

Question batch · 100 questions

Absolute Geometric Sums, Conditional Harmonic Tails and Finite Boundaries

Absolute convergence of series

batch-20261014-advance-20261104-r03-absolute-convergence-of-series-foundations

Question batch · 100 questions

Common Strict Finite-Domain Witnesses, Supremum Gaps and Evidence Limits

Uniform convergence of functions

batch-20261014-advance-20261104-r02-uniform-convergence-of-functions-foundations

Question batch · 100 questions

Rectangular Map Direction, Exact Kernel/Image Bases and Rank-Nullity

Rank-nullity theorem

batch-20261014-advance-20261104-r01-rank-nullity-theorem-foundations

Question batch · 100 questions

Signed Extended Euclid, Normalized Inverses and Nonunit Boundaries

Modular inverse

batch-20261014-advance-20261103-r07-modular-inverse-foundations

Question batch · 100 questions

Maximum Matchings: Validity before Global Optimality

Maximum matching

batch-20261014-advance-20261103-r06-maximum-matching-foundations

Question batch · 100 questions

Connected Topological Spaces: Actual Spaces and Independent Reference Conventions

Connected topological space

batch-20261014-advance-20261103-r05-connected-topological-space-foundations

Question batch · 100 questions

Complete Law Tables, Likelihoods and Parameter-Observation Roles

Parametric statistical model

batch-20261014-advance-20261103-r04-parametric-statistical-model-foundations

Question batch · 100 questions

Exact Partial Sums, Geometric and Telescoping Tails, Harmonic Boundaries

Infinite series

batch-20261014-advance-20261103-r03-infinite-series-foundations

Question batch · 100 questions

Signed Pointwise Values, Strict Epsilon Tails and Finite-Domain Maxima

Pointwise convergence of functions

batch-20261014-advance-20261103-r02-pointwise-convergence-of-functions-foundations

Question batch · 100 questions

Exact RREF Rank, Minor Bounds and Singular-Determinant Limits

Matrix rank

batch-20261014-advance-20261103-r01-matrix-rank-foundations

Question batch · 100 questions

Arbitrary-Word Mod-Count Invariants and Exact Prefix-Trie DFA Constructions

Regular language

batch-20261014-advance-20261102-r07-regular-language-foundations