1) From 1950 an unknown PhD Math Thesis by French Dr. Bachelier (a PhD student of the 20CE last Polymath Henri Poincaré, who was not impressed with the ‘gambling’ math, gave only an above-average marks to the thesis) – invention of “Options” Trading to eliminate risk in stock flu...
Determine all graphs $G$ with $\chi(G)=3$ that satisfy $\chi(H) \leq 2, H \subsetneq G$ graph-theory coloring Rócherz 4,021 modified 5 hours ago 1 vote 2 answers 61 views Let $A$ and $B$ be matrices such that the product $AB$ is defined. If $B$ has a column of...
I finally started a project that I have been wanting to undertake for a while. It is the Math Cracks, which is the way I call to this short tutorials that attempt to explain hard math concepts in simple terms, step-by-step. The first Math Crack of the series isIntegration by Parts. ...
Recreations in Math- H. E. Licks (1917) Magic Squares and Cubes- W. S. Andrews (1917) Convex Optimization- Stephen Boyd and Lieven Vandenberghe Fabrice Baudoin's Notes- Both research and lecture notes on many topics, Including Diffusions on foliated manifold, Stochastic Calculus, Global analysi...
We use ConvertType to convert "6:00:00" from string to TimeSpan, then add that TimeSpan to the current time, and format it with the format string "h:mm:ss tt". Custom Functions MathConverter's built-in functions are implemented in CustomFunctions.cs. Those classes can be used as exam...
is particularly impacted by educational context, because it has been shown that high ability students fare better in more heterogeneous classrooms where external comparisons with peers are more favorable in terms of ability comparisons (e.g., Marsh, H. W., 1987, Marsh, H. W., et al., 1995...
Since all reactions of 2 take place exclusively at C 10, transannular H-bonding is concluded not to contribute significantly to the structure of 2. Diolepoxide reactions with both weak and strong nucleophiles and with DNA are discussed and the mechanisms interpreted in terms of molecular structure...
axioms into complex arguments is simply the ivory-tower equivalent of building a Lego spaceship from tiny, indestructible pieces. More important, they are an invitation to change your worldview, to simplify thinking with abstractions, to interpret and analyze the world in mathematical terms. ...
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($mᵢ, $nᵢ, $mⱼ, $nⱼ) // Submatrix of A from row mᵢ, column nᵢ to row mⱼ, column nⱼ $H = $A->householder(); // Matrix value operations - return a value $tr⟮A⟯ = $A->trace(); $|A| = $a->det(); // Determinant $Mᵢⱼ = $A->minor...