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chorblack
2026-03-07 11:19:25 +08:00
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[
{"category": "Algebra",
"mappings": {
"default": {
"default": "degree"
}
},
"key": "deg",
"names": ["deg"]
},
{"category": "Algebra",
"mappings": {
"default": {
"default": "determinant",
"short": "det"
}
},
"key": "det",
"names": ["det"]
},
{"category": "Algebra",
"mappings": {
"default": {
"default": "dimension"
}
},
"key": "dim",
"names": ["dim"]
},
{"category": "Algebra",
"mappings": {
"default": {
"default": "homomorphism",
"short": "hom"
}
},
"key": "hom",
"names": ["hom", "Hom"]
},
{"category": "Algebra",
"mappings": {
"default": {
"default": "kernel"
}
},
"key": "ker",
"names": ["ker"]
},
{"category": "Algebra",
"mappings": {
"default": {
"default": "trace"
}
},
"key": "Tr",
"names": ["Tr", "tr"]
}
]

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[
{"category": "Elementary",
"mappings": {
"default": {
"default": "logarithm",
"alternative": "logarithm function",
"short": "log"
}
},
"key": "log",
"names": ["log"]
},
{"category": "Elementary",
"mappings": {
"default": {
"default": "natural logarithm",
"alternative": "natural logarithm function",
"short": "natural log"
},
"mathspeak": {
"default": "ln"
}
},
"key": "ln",
"names": ["ln"]
},
{"category": "Elementary",
"mappings": {
"default": {
"default": "logarithm base 10",
"short": "log base 10"} },
"key": "lg",
"names": ["lg"]},
{"category": "Elementary",
"mappings": {
"default": {
"default": "exponential",
"alternative": "exponential function",
"short": "exp"
}
},
"key": "exp",
"names": ["exp", "expt"]
},
{"category": "Elementary",
"mappings": {
"default": {
"default": "greatest common divisor",
"short": "gcd"
}
},
"key": "gcd",
"names": ["gcd"]
},
{"category": "Elementary",
"mappings": {
"default": {
"default": "least common multiple",
"short": "lcm"
}
},
"key": "lcm",
"names": ["lcm"]
},
{"category": "Complex",
"mappings": {
"default": {
"default": "argument",
"short": "arg"
}
},
"key": "arg",
"names": ["arg"]
},
{"category": "Complex",
"mappings": {
"default": {
"default": "imaginary part",
"short": "imaginary"
},
"mathspeak": {
"default": "im"
}
},
"key": "im",
"names": ["im"]
},
{"category": "Complex",
"mappings": {
"default": {
"default": "real part",
"short": "real"
},
"mathspeak": {
"default": "re"
}
},
"key": "re",
"names": ["re"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "infimum",
"short": "inf"
}
},
"key": "inf",
"names": ["inf"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "limit",
"short": "lim"
},
"mathspeak": {
"default": "limit"
}
},
"key": "lim",
"names": ["lim"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "infimum default",
"alternative": "inferior limit",
"short": "liminf"
}
},
"key": "liminf",
"names": ["lim inf"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "supremum limit",
"alternative": "superior limit",
"short": "limsup"
}
},
"key": "limsup",
"names": ["lim sup"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "maximum",
"short": "max"
}
},
"key": "max",
"names": ["max"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "minimum",
"short": "min"
}
},
"key": "min",
"names": ["min"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "supremum",
"short": "sup"
}
},
"key": "sup",
"names": ["sup"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "injective limit",
"alternative": "direct limit",
"short": "colimit"
}
},
"key": "injlim",
"names": ["injlim", "inj lim"]
},
{"category": "Limits",
"mappings": {
"default": {
"default": "projective limit",
"alternative": "inverse limit",
"short": "limit"
}
},
"key": "projlim",
"names": ["projlim", "proj lim"]
},
{"category": "Elementary",
"mappings": {
"default": {
"default": "modulo",
"short": "mod"
}
},
"key": "mod",
"names": ["mod"]
},
{"category": "Probability",
"mappings": {
"default": {
"default": "probability"
}
},
"key": "Pr",
"names": ["Pr"]
}
]

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[
{"category": "Hyperbolic",
"mappings": {
"default": {
"default": "hyperbolic cosine function",
"short": "hyperbolic cosine"
}
},
"key": "cosh",
"names": ["cosh"]
},
{"category": "Hyperbolic",
"mappings": {
"default": {
"default": "hyperbolic cotangent function",
"short": "hyperbolic cotangent"} },
"key": "coth",
"names": ["coth"]
},
{"category": "Hyperbolic",
"mappings": {
"default": {
"default": "hyperbolic cosecant function",
"short": "hyperbolic cosecant"} },
"key": "csch",
"names": ["csch"]
},
{"category": "Hyperbolic",
"mappings": {
"default": {
"default": "hyperbolic secant function",
"short": "hyperbolic secant"} },
"key": "sech",
"names": ["sech"]
},
{"category": "Hyperbolic",
"mappings": {
"default": {
"default": "hyperbolic sine function",
"short": "hyperbolic sine"
}
},
"key": "sinh",
"names": ["sinh"]
},
{"category": "Hyperbolic",
"mappings": {
"default": {
"default": "hyperbolic tangent function",
"short": "hyperbolic tangent"} },
"key": "tanh",
"names": ["tanh"]
},
{"category": "Area",
"mappings": {
"default": {
"default": "inverse hyperbolic cosine function",
"alternative": "area hyperbolic cosine function",
"short": "area hyperbolic cosine"} },
"key": "arcosh",
"names": ["arcosh", "arccosh"]
},
{"category": "Area",
"mappings": {
"default": {
"default": "inverse hyperbolic cotangent function",
"alternative": "area hyperbolic cotangent function",
"short": "area hyperbolic cotangent"} },
"key": "arcoth",
"names": ["arcoth", "arccoth"]
},
{"category": "Area",
"mappings": {
"default": {
"default": "inverse hyperbolic cosecant function",
"alternative": "area hyperbolic cosecant function",
"short": "area hyperbolic cosecant"} },
"key": "arcsch",
"names": ["arcsch", "arccsch"]
},
{"category": "Area",
"mappings": {
"default": {
"default": "inverse hyperbolic secant function",
"alternative": "area hyperbolic secant function",
"short": "area hyperbolic secant"} },
"key": "arsech",
"names": ["arsech", "arcsech"]
},
{"category": "Area",
"mappings": {
"default": {
"default": "inverse hyperbolic sine function",
"alternative": "area hyperbolic sine function",
"short": "area hyperbolic sine"} },
"key": "arsinh",
"names": ["arsinh", "arcsinh"]
},
{"category": "Area",
"mappings": {
"default": {
"default": "inverse hyperbolic tangent function",
"alternative": "area hyperbolic tangent function",
"short": "area hyperbolic tangent"} },
"key": "artanh",
"names": ["artanh", "arctanh"]
}
]

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[
{"category": "Trigonometric",
"mappings": {
"default": {
"default": "cosine function",
"short": "cosine"
}
},
"key": "cos",
"names": ["cos", "cosine"]
},
{"category": "Trigonometric",
"mappings": {
"default": {
"default": "cotangent function",
"short": "cotangent"} },
"key": "cot",
"names": ["cot"]
},
{"category": "Trigonometric",
"mappings": {
"default": {
"default": "cosecant function",
"short": "cosecant"} },
"key": "csc",
"names": ["csc"]
},
{"category": "Trigonometric",
"mappings": {
"default": {
"default": "secant function",
"short": "secant"} },
"key": "sec",
"names": ["sec"]
},
{"category": "Trigonometric",
"mappings": {
"default": {
"default": "sine function",
"alternative": "sine function",
"short": "sine"
}
},
"key": "sin",
"names": ["sin", "sine"]
},
{"category": "Trigonometric",
"mappings": {
"default": {
"default": "tangent function",
"short": "tangent"} },
"key": "tan",
"names": ["tan"]
},
{"category": "Cyclometric",
"mappings": {
"default": {
"default": "inverse cosine function",
"alternative": "arc cosine function",
"short": "arc cosine"} },
"key": "arccos",
"names": ["arccos"]
},
{"category": "Cyclometric",
"mappings": {
"default": {
"default": "inverse cotangent function",
"alternative": "arc cotangent function",
"short": "arc cotangent"} },
"key": "arccot",
"names": ["arccot"]
},
{"category": "Cyclometric",
"mappings": {
"default": {
"default": "inverse cosecant function",
"alternative": "arc cosecant function",
"short": "arc cosecant"} },
"key": "arccsc",
"names": ["arccsc"]
},
{"category": "Cyclometric",
"mappings": {
"default": {
"default": "inverse secant function",
"alternative": "arc secant function",
"short": "arc secant"} },
"key": "arcsec",
"names": ["arcsec"]
},
{"category": "Cyclometric",
"mappings": {
"default": {
"default": "inverse sine function",
"alternative": "arc sine function",
"short": "arc sine"} },
"key": "arcsin",
"names": ["arcsin"]
},
{"category": "Cyclometric",
"mappings": {
"default": {
"default": "inverse tangent function",
"alternative": "arc tangent function",
"short": "arc tangent"} },
"key": "arctan",
"names": ["arctan"]
}
]