feat:node-modules

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/derivative.js

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+export var derivativeDocs = {
+  name: 'derivative',
+  category: 'Algebra',
+  syntax: ['derivative(expr, variable)', 'derivative(expr, variable, {simplify: boolean})'],
+  description: 'Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.',
+  examples: ['derivative("2x^3", "x")', 'derivative("2x^3", "x", {simplify: false})', 'derivative("2x^2 + 3x + 4", "x")', 'derivative("sin(2x)", "x")', 'f = parse("x^2 + x")', 'x = parse("x")', 'df = derivative(f, x)', 'df.evaluate({x: 3})'],
+  seealso: ['simplify', 'parse', 'evaluate']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/leafCount.js

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+export var leafCountDocs = {
+  name: 'leafCount',
+  category: 'Algebra',
+  syntax: ['leafCount(expr)'],
+  description: 'Computes the number of leaves in the parse tree of the given expression',
+  examples: ['leafCount("e^(i*pi)-1")', 'leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'],
+  seealso: ['simplify']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/lsolve.js

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+export var lsolveDocs = {
+  name: 'lsolve',
+  category: 'Algebra',
+  syntax: ['x=lsolve(L, b)'],
+  description: 'Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.',
+  examples: ['a = [-2, 3; 2, 1]', 'b = [11, 9]', 'x = lsolve(a, b)'],
+  seealso: ['lsolveAll', 'lup', 'lusolve', 'usolve', 'matrix', 'sparse']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/lsolveAll.js

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+export var lsolveAllDocs = {
+  name: 'lsolveAll',
+  category: 'Algebra',
+  syntax: ['x=lsolveAll(L, b)'],
+  description: 'Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.',
+  examples: ['a = [-2, 3; 2, 1]', 'b = [11, 9]', 'x = lsolve(a, b)'],
+  seealso: ['lsolve', 'lup', 'lusolve', 'usolve', 'matrix', 'sparse']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/lup.js

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+export var lupDocs = {
+  name: 'lup',
+  category: 'Algebra',
+  syntax: ['lup(m)'],
+  description: 'Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U',
+  examples: ['lup([[2, 1], [1, 4]])', 'lup(matrix([[2, 1], [1, 4]]))', 'lup(sparse([[2, 1], [1, 4]]))'],
+  seealso: ['lusolve', 'lsolve', 'usolve', 'matrix', 'sparse', 'slu', 'qr']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/lusolve.js

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+export var lusolveDocs = {
+  name: 'lusolve',
+  category: 'Algebra',
+  syntax: ['x=lusolve(A, b)', 'x=lusolve(lu, b)'],
+  description: 'Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.',
+  examples: ['a = [-2, 3; 2, 1]', 'b = [11, 9]', 'x = lusolve(a, b)'],
+  seealso: ['lup', 'slu', 'lsolve', 'usolve', 'matrix', 'sparse']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/lyap.js

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+export var lyapDocs = {
+  name: 'lyap',
+  category: 'Algebra',
+  syntax: ['lyap(A,Q)'],
+  description: 'Solves the Continuous-time Lyapunov equation AP+PA\'+Q=0 for P',
+  examples: ['lyap([[-2, 0], [1, -4]], [[3, 1], [1, 3]])', 'A = [[-2, 0], [1, -4]]', 'Q = [[3, 1], [1, 3]]', 'lyap(A,Q)'],
+  seealso: ['schur', 'sylvester']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/polynomialRoot.js

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+export var polynomialRootDocs = {
+  name: 'polynomialRoot',
+  category: 'Algebra',
+  syntax: ['x=polynomialRoot(-6, 3)', 'x=polynomialRoot(4, -4, 1)', 'x=polynomialRoot(-8, 12, -6, 1)'],
+  description: 'Finds the roots of a univariate polynomial given by its coefficients starting from constant, linear, and so on, increasing in degree.',
+  examples: ['a = polynomialRoot(-6, 11, -6, 1)'],
+  seealso: ['cbrt', 'sqrt']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/qr.js

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+export var qrDocs = {
+  name: 'qr',
+  category: 'Algebra',
+  syntax: ['qr(A)'],
+  description: 'Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.',
+  examples: ['qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])'],
+  seealso: ['lup', 'slu', 'matrix']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/rationalize.js

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+export var rationalizeDocs = {
+  name: 'rationalize',
+  category: 'Algebra',
+  syntax: ['rationalize(expr)', 'rationalize(expr, scope)', 'rationalize(expr, scope, detailed)'],
+  description: 'Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.',
+  examples: ['rationalize("2x/y - y/(x+1)")', 'rationalize("2x/y - y/(x+1)", true)'],
+  seealso: ['simplify']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/resolve.js

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+export var resolveDocs = {
+  name: 'resolve',
+  category: 'Algebra',
+  syntax: ['resolve(node, scope)'],
+  description: 'Recursively substitute variables in an expression tree.',
+  examples: ['resolve(parse("1 + x"), { x: 7 })', 'resolve(parse("size(text)"), { text: "Hello World" })', 'resolve(parse("x + y"), { x: parse("3z") })', 'resolve(parse("3x"), { x: parse("y+z"), z: parse("w^y") })'],
+  seealso: ['simplify', 'evaluate'],
+  mayThrow: ['ReferenceError']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/schur.js

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+export var schurDocs = {
+  name: 'schur',
+  category: 'Algebra',
+  syntax: ['schur(A)'],
+  description: 'Performs a real Schur decomposition of the real matrix A = UTU\'',
+  examples: ['schur([[1, 0], [-4, 3]])', 'A = [[1, 0], [-4, 3]]', 'schur(A)'],
+  seealso: ['lyap', 'sylvester']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/simplify.js

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+export var simplifyDocs = {
+  name: 'simplify',
+  category: 'Algebra',
+  syntax: ['simplify(expr)', 'simplify(expr, rules)'],
+  description: 'Simplify an expression tree.',
+  examples: ['simplify("3 + 2 / 4")', 'simplify("2x + x")', 'f = parse("x * (x + 2 + x)")', 'simplified = simplify(f)', 'simplified.evaluate({x: 2})'],
+  seealso: ['simplifyCore', 'derivative', 'evaluate', 'parse', 'rationalize', 'resolve']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/simplifyConstant.js

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+export var simplifyConstantDocs = {
+  name: 'simplifyConstant',
+  category: 'Algebra',
+  syntax: ['simplifyConstant(expr)', 'simplifyConstant(expr, options)'],
+  description: 'Replace constant subexpressions of node with their values.',
+  examples: ['simplifyConstant("(3-3)*x")', 'simplifyConstant(parse("z-cos(tau/8)"))'],
+  seealso: ['simplify', 'simplifyCore', 'evaluate']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/simplifyCore.js

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+export var simplifyCoreDocs = {
+  name: 'simplifyCore',
+  category: 'Algebra',
+  syntax: ['simplifyCore(node)'],
+  description: 'Perform simple one-pass simplifications on an expression tree.',
+  examples: ['simplifyCore(parse("0*x"))', 'simplifyCore(parse("(x+0)*2"))'],
+  seealso: ['simplify', 'simplifyConstant', 'evaluate']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/slu.js

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+export var sluDocs = {
+  name: 'slu',
+  category: 'Algebra',
+  syntax: ['slu(A, order, threshold)'],
+  description: 'Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U',
+  examples: ['slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)'],
+  seealso: ['lusolve', 'lsolve', 'usolve', 'matrix', 'sparse', 'lup', 'qr']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/sylvester.js

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+export var sylvesterDocs = {
+  name: 'sylvester',
+  category: 'Algebra',
+  syntax: ['sylvester(A,B,C)'],
+  description: 'Solves the real-valued Sylvester equation AX+XB=C for X',
+  examples: ['sylvester([[-1, -2], [1, 1]], [[-2, 1], [-1, 2]], [[-3, 2], [3, 0]])', 'A = [[-1, -2], [1, 1]]; B = [[2, -1], [1, -2]]; C = [[-3, 2], [3, 0]]', 'sylvester(A, B, C)'],
+  seealso: ['schur', 'lyap']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/symbolicEqual.js

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+export var symbolicEqualDocs = {
+  name: 'symbolicEqual',
+  category: 'Algebra',
+  syntax: ['symbolicEqual(expr1, expr2)', 'symbolicEqual(expr1, expr2, options)'],
+  description: 'Returns true if the difference of the expressions simplifies to 0',
+  examples: ['symbolicEqual("x*y","y*x")', 'symbolicEqual("abs(x^2)", "x^2")', 'symbolicEqual("abs(x)", "x", {context: {abs: {trivial: true}}})'],
+  seealso: ['simplify', 'evaluate']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/usolve.js

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+export var usolveDocs = {
+  name: 'usolve',
+  category: 'Algebra',
+  syntax: ['x=usolve(U, b)'],
+  description: 'Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.',
+  examples: ['x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])'],
+  seealso: ['usolveAll', 'lup', 'lusolve', 'lsolve', 'matrix', 'sparse']
+};

node_modules/mathjs/lib/esm/expression/embeddedDocs/function/algebra/usolveAll.js

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+export var usolveAllDocs = {
+  name: 'usolveAll',
+  category: 'Algebra',
+  syntax: ['x=usolve(U, b)'],
+  description: 'Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.',
+  examples: ['x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])'],
+  seealso: ['usolve', 'lup', 'lusolve', 'lsolve', 'matrix', 'sparse']
+};