Abstract This essay takes a close look at Maura Dykstra's monograph Uncertainty in the Empire of Routine (Harvard Asia Center, 2022). It analyzes book's multitude problems, such as its flawed conception, numerous factual blunders, failure to engage existing scholarship, problematic choice primary sources, and dubious citation practices. Most significantly, this aims provide ample evidence demon...

Semide nite programming concerns the problem of optimizing a linear function over a section of the cone of semide nite matrices In the cone a ne scaling approach we replace the cone of semide nite matrices by a certain inscribed cone in such a way that the resulting optimization problem is analytically solvable The now easily obtained solution to this modi ed problem serves as an approximate so...

Makeev conjectured that every constant-width body is inscribed in the dual difference body of a regular simplex. We prove that homologically, there are an odd number of such circumscribing bodies in dimension 3, and therefore geometrically there is at least one. We show that the homological answer is zero in higher dimensions, a result which is inconclusive for the geometric question. We also g...