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Use Derivatives for Setting Up ...   (Mathematica How To)
Mathematica 's functions for solving differential equations can be applied to many different classes of differential equations, including ordinary differential equations ...
Constructing Matrices   (Mathematica Tutorial)
Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.
AlgebraicNumberDenominator   (Built-in Mathematica Symbol)
AlgebraicNumberDenominator[a] gives the smallest positive integer n such that n a is an algebraic integer.
AlgebraicNumberTrace   (Built-in Mathematica Symbol)
AlgebraicNumberTrace[a] gives the trace of the algebraic number a.
AlgebraicNumber   (Built-in Mathematica Symbol)
AlgebraicNumber[\[Theta], {c_0, c_1, ..., c_n}] represents the algebraic number in the field \[DoubleStruckCapitalQ][\[Theta]] given by c_0 + c_1 \[Theta] + ... + c_n ...
DatabaseLink supports SQL transactions and result sets. These features, useful for advanced users, help to maintain integrity of the data stored in your database as well as ...
Constructing Lists   (Mathematica Guide)
Mathematica provides powerful functions for constructing lists of any size and structure.
BitSet   (Built-in Mathematica Symbol)
BitSet[n, k] sets to 1 the bit corresponding to the coefficient of 2^k in the integer n.
AlgebraicNumberPolynomial   (Built-in Mathematica Symbol)
AlgebraicNumberPolynomial[a, x] gives the polynomial in x corresponding to the AlgebraicNumber object a.
SetOptions   (Built-in Mathematica Symbol)
SetOptions[s, name_1 -> value_1, name_2 -> value_2, ...] sets the specified default options for a symbol s. SetOptions[stream, ...] or SetOptions["name", ...] sets options ...
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