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3d83740f88b6aaba6962256be517656496b83f25
tsl-devkit/docs/tsl/reference/catalog/math.md
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csh 3d83740f88 Squashed 'docs/standards/playbook/' changes from c3f8137..25d895d 
25d895d 🐛 fix(gitea_workflow): clean up temp repos after job steps
2bc3b11 🐛 fix(gitea_workflow): clean up temporary repo dirs in workflows
98c3f30 📝 docs(agent_rules): allow plan execution on current branch
16c7230 📝 docs(prompts): define custom verify layering
8efc4dd 🐛 fix(skills): quote commit-message description
bc8498f 🐛 fix(ci): install tomli for gitea tests
55cda3b 🐛 fix(tests): report missing toml parser clearly
c0729c7 🐛 fix(playbook): import Optional for cli compatibility
63e24bf 📦 deps(skills): sync thirdparty skills
d2f9356 🐛 fix(ci): isolate gitea workflow repos
588b81d 🐛 fix(ci): inline gitea workflow bootstrap
e0b1c3a ♻️ refactor(skills): standardize first-party skill contracts
2c5050d ♻️ refactor(skills): rename repo skills source dir
f049dfb 📦 deps(skills): drop duplicate first-party superpowers skills
234b335 ✨ feat(workflow): add superpowers planning and execution state tracking
c1702a6 📝 docs(markdown): format tracked markdown and drop stale templates
2325409 📝 docs(markdown): clarify optional markdownlint usage
214c44e 🔧 chore(markdown): add markdownlint baseline and lint fixes
a22b324 📝 docs(templates): add execution and memory-bank prompt templates
223a797 📝 docs(templates): update README for Claude Code and current features
4ac8672 📝 docs: simplify README + platform-agnostic tools + auto-create local rules
2431c9d 📝 docs: add claude_md config and use cross-platform paths
d64b248 📝 docs: fix README.md inaccuracies and add Claude Code info
c8d6bf2 🐛 fix(playbook): use relative paths in CLAUDE.md when not at project root
6518f0f ✨ feat(playbook): auto-create CLAUDE.md with path discovery
6ec9a45 ✨ feat(skills): add skill_link symlink support + platform-agnostic prompt
9f8b6b5 📝 docs: update README and config example for Claude Code support
79cff6c 📝 docs(skills): add Claude Code platform support
452c6f5 ✨ feat(playbook): auto-inject AGENTS.md into CLAUDE.md
e1dbf3c 🐛 fix(skills): remove dual-path from commit-message skill
f3a7259 🔧 chore(ci): use prepare_repo.sh in both workflows
da08212 🔧 chore(ci): extract prepare_repo.sh and clean up workflows
7ade85e 🗑️ remove(tsl): drop syntax_book/, data/ source and build script
f94dba0 ♻️ refactor(skills): update playbook.py and tests for thirdparty/ layout
b3df412 ♻️ refactor(skills): separate thirdparty skills into thirdparty/ subdirectory
64950e7 📦 deps(skills): sync thirdparty skills
a2e3cb0 ✨ feat(playbook): add no_backup deploy controls
8609d59 🐛 fix(docs): repair reference catalog source links
956da11 🐛 fix(playbook): publish hidden ci test fixes
3f67754 📦 deps(skills): sync thirdparty skills
08ca87b 📦 deps(skills): add karpathy thirdparty sync
96b705b 📝 docs(tsl): rebuild canonical syntax and routing manual
3ed5052 📦 deps(skills): sync thirdparty skills
60108dd 📦 deps(skills): sync thirdparty skills
da85d4e 🐛 fix(thirdparty): prune nested project snapshots
a2a697e 📦 deps(skills): sync thirdparty skills
9df610a 🐛 fix(thirdparty): exclude duplicated superpowers skills
33dd5bb 🐛 fix(thirdparty): preserve optional manifest fields
91b0ea7 🐛 fix(thirdparty): preserve manifest during snapshot update
2e26f98 🔧 chore(thirdparty): generalize skills sync pipeline
5b9c1e3 📦 deps(skills): sync superpowers
2f2d34a 📝 docs(readme): normalize subtree command spacing
62db7db 🐛 fix(ci): serialize superpowers update and sync
3463223 🐛 fix(ci): use literal superpowers sync paths
48f6de8 📦 deps(skills): sync superpowers
4b23529 🔧 chore(ci): merge superpowers update and sync workflow
a56d75b 📦 deps(skills): sync superpowers
84bcefa 🔧 chore(ci): use ci[bot] commit author name
00a07e5 📦 deps(skills): sync superpowers
7b84daf 🐛 fix(templates): enforce main loop progress tracking
51373d7 🔧 chore(ci): automate superpowers sync workflow
eaaa39c 🐛 fix(ci): prevent stale superpowers sync from restoring skills block
79755c6 📦 deps(skills): sync superpowers
836d878 📦 deps(skills): sync superpowers
8216c9f 📦 deps(skills): sync superpowers
9439505 🐛 fix(playbook): address reported repo issues

git-subtree-dir: docs/standards/playbook
git-subtree-split: 25d895d8b3f56624ccfe99ad7289e9eb49e0f316
2026-05-24 13:04:14 +08:00

9.3 KiB
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数学函数

这一页只负责函数定位：先按主题找到模块，再在页内搜索函数名。

使用方式

模块范围

  • 说明：数值计算、统计分析、矩阵处理与数学算法
  • 主题数：40
  • 函数数：518

主题目录

数值计算 / 数值微积分

  • ig_Romberg
  • integral
  • ig_Trapezoid_1
  • ig_Trapezoid_2
  • ig_Simpson_1
  • ig_Gauss
  • ig_Chebyshev
  • ig_Simpson_2
  • sf_SinX
  • sf_CosX
  • sf_eX
  • sf_EllipseX_1
  • sf_EllipseX_2
  • Conv
  • Hessian

数值计算 / 线性方程组的求解

  • se_Gauss
  • se_Gauss_Jordan
  • se_Ldl
  • se_Cholesky
  • se_Gauss_Seidel

数值计算 / 插值

  • interp
  • interp_unit
  • ip_Lagrangian_A
  • ip_Lagrangian_B
  • ip_Parabola_A
  • ip_Parabola_B
  • ip_Hermite_A
  • ip_Hermite_B
  • ip_Aitken_A
  • ip_Aitken_B
  • ip_Spline_A
  • ip_Spline_B
  • ip_Spline_C
  • ip_SLQ
  • ip_SLG

数值计算 / 矩阵运算及分解

  • mt_Transposition
  • mt_Multiplication
  • mt_Addition
  • mt_iv_Gauss_Jordan
  • mt_iv_Ldl
  • mt_Subtraction
  • Mt_decompose_lu
  • mt_decompose_qr
  • mt_decompose_chol
  • chol
  • mt_va_Gauss_Jordan
  • mt_decompose_svd
  • mt_decompose_ldl
  • mt_decompose_eig
  • Standarize_II
  • ReIndex2
  • Det
  • isSymmetry
  • Orth
  • roots
  • Eigen
  • pinv
  • norm2
  • Cond
  • diag
  • isDefinite

数值计算 / 数组扩展

  • Any
  • ALL

数值计算 / 其他

  • perms
  • nchoosek
  • MaxDrawDown
  • MinRecoveryTime
  • Betainc
  • PercentileOfScore
  • GenerateCombinations
  • Percentage

常用数学函数

  • Pi
  • Odd
  • Abs
  • Sqr
  • Sqrt
  • DivMod
  • Frexp
  • Ldexp
  • Poly

三角函数

  • Sin
  • Cos
  • SinCos
  • Tan
  • Cot
  • CoTan
  • Sec
  • Csc
  • Secant
  • Cosecant
  • ArcSin
  • ArcCos
  • ArcTan
  • ArcTan2
  • ArcCot
  • ArcSec
  • ArcCsc
  • Hypot

角度量转换

  • RadToDeg
  • RadToGrad
  • RadToCycle
  • DegToRad
  • DegToGrad
  • DegToCycle
  • GradToRad
  • GradToDeg
  • GradToCycle
  • CycleToRad
  • CycleToDeg
  • CycleToGrad

双曲线函数

  • Sinh
  • Cosh
  • Tanh
  • CotH
  • SecH
  • CscH
  • ArcCosh
  • ArcSinh
  • ArcTanh
  • ArcCotH
  • ArcSecH
  • ArcCscH

指数对数函数

  • Ln
  • LnXP1
  • Log10
  • Log2
  • LogN
  • Exp
  • IntPower
  • Power

精度设置及取整运算

  • Int
  • Ceil
  • Ceil32
  • Ceil64
  • Floor
  • Floor32
  • Floor64
  • Trunc
  • Trunc32
  • Trunc64
  • Frac
  • Round
  • Round32
  • Round64
  • SimpleRound
  • SimpleRound32
  • SimpleRound64
  • RoundTo
  • SimpleRoundTo

比较判断函数

  • IsNan
  • IsInfinite
  • Sign
  • IsZero
  • Min
  • Max
  • CompareValue
  • SameValue
  • RandomRange
  • InRange
  • EnsureRange

一般统计量

  • MinIntValue
  • SumOfSquares
  • StdDev
  • Mean
  • Sum
  • MaxValue
  • MinValue
  • Norm
  • SumsAndSquares
  • MaxIntValue
  • SumInt
  • Harmean
  • Variance
  • MeanAndStdDev
  • AveDev
  • Skewness
  • TotalVariance
  • Product
  • PopnStdDev
  • kurtosis2
  • Median
  • skewness2
  • Kurtosis
  • Mode
  • RandG
  • Geomean
  • PopnVariance
  • MomentSkewKurtosis
  • DevSq
  • randomfrom

次序统计量

  • Large
  • Small
  • Percentile
  • Percentrank
  • Quartile
  • Rank
  • Trimmean
  • Frequency

统计函数

  • Cov
  • Correl
  • Slope
  • Intercept
  • Rsq
  • Steyx
  • Slopeandintercept
  • VariationCoefficient
  • Skew
  • SelfStddev
  • RegressionChannel
  • Kurt
  • MeanAndPopnStdDevWithRate
  • BetaAndAlpha
  • correlpaired
  • correlpaired_side

统计函数 / 扩充统计

  • Expanding_Unit

统计函数 / 含NAN统计

  • NanMean
  • NanSum
  • NanStd
  • NanVariance
  • NanPopnStd
  • NanPopnVariance
  • NanRankArr
  • NanPercentRankArr

统计分布

  • Gammaln
  • Hist
  • sf_Error
  • erfc
  • sf_Gamma
  • erf
  • erfcinv
  • sf_Beta
  • sf_IntegerBessel_1
  • sf_IncompleteGamma
  • Gamma
  • erfinv
  • Randnorm
  • sf_F
  • sf_geopdf
  • sf_RealBessel_1
  • sf_unidcdf
  • sf_normpdf
  • sf_geoinv
  • sf_unidpdf
  • sf_IncompleteBeta
  • sf_normalinv2
  • sf_norminv
  • Randunid
  • sf_Normal
  • sf_unidinv
  • sf_X2
  • sf_IntegerBessel_2
  • sf_normcdf
  • sf_t
  • sf_geocdf
  • Randgeo
  • sf_normalinv
  • Normfit
  • sf_RealBessel_2
  • sf_hygeinv
  • poissfit
  • sf_binocdf
  • Randhyge
  • sf_poissinv
  • sf_poisscdf
  • sf_nbininv
  • binofit
  • sf_hygepdf
  • sf_unifcdf
  • sf_exppdf
  • sf_binoinv
  • uniffit
  • sf_nbinpdf
  • Randnbin
  • Randpoiss
  • sf_hygecdf
  • sf_poisspdf
  • Randbino
  • Randunif
  • sf_unifinv
  • sf_binopdf
  • sf_nbincdf
  • sf_unifpdf
  • sf_tcdf
  • sf_fpdf
  • sf_tinv
  • expfit
  • Randgam
  • sf_ch2inv
  • sf_ch2cdf
  • sf_finv1
  • Randt
  • sf_expcdf
  • sf_finv
  • sf_gamcdf
  • sf_tpdf
  • sf_x2inv
  • sf_gampdf
  • sf_gammainv
  • sf_fcdf
  • sf_ch2pdf
  • Randf
  • Randexp
  • Randch2
  • sf_gaminv
  • sf_expinv
  • sf_betapdf
  • sf_tinv1
  • RandCauchy
  • sf_Laplacecdf
  • Randbeta
  • sf_Cauchypdf
  • sf_logninv
  • sf_Laplaceinv
  • sf_betacdf
  • sf_raylinv
  • sf_wblcdf
  • sf_lognpdf
  • sf_Cauchycdf
  • Randlogn
  • Randrayl
  • sf_Laplacepdf
  • sf_raylpdf
  • sf_wblinv
  • sf_logncdf
  • sf_Cauchyinv
  • sf_raylcdf
  • Randwbl
  • sf_betainv
  • RandLaplace
  • sf_wblpdf
  • sf_betainv1
  • sf_mvtcdf
  • Mvtcdfqmc
  • sf_mvncdf
  • sf_copulacdf
  • sf_copulafit
  • RandCopula
  • sf_exp
  • Norminv

统计推断

  • Estimate_SNU
  • Estimate_TNU
  • Estimate_TND
  • Estimate_SP
  • Estimate_TP
  • Hypoth_TailRes
  • NormPlot
  • Hypoth_Kstest
  • Hypoth_lillietest
  • Hypoth_IndepTest
  • Hypoth_KruskalWallis
  • Hypoth_SNUTest
  • Hypoth_TNUTest
  • Hypoth_SNDTest
  • Hypoth_TNDTest
  • Hypoth_LSUTest
  • Anova_Single
  • Anova_Twice
  • Anova_Bartlett
  • Anova_Levene

统计推断 / 假设检验

  • Hypoth_SignTest
  • Hypoth_WilcoxonTest
  • Hypoth_McNemarTest

统计推断 / 配对检验

  • Hypoth_PNUTest

多元统计分析

  • Corr
  • CorrelationMatrix
  • Covariance
  • Corrcoef
  • Corr_partial
  • Distance
  • Cluster_Kmeans
  • Cluster_System
  • Cluster_ward
  • Discrim
  • princomp
  • Factor
  • corr_canonical
  • corr_Spearman
  • Cov2CorrMatrix
  • CorrMatrixAdjust
  • corr_Kendall
  • HISTC

多元统计分析 / 相对重要性

  • Regress_domin_formula
  • Regress_domin_marginal

回归 / 回归检验

  • Regress_Ridge
  • Regress_AdjustedR2
  • Regress_Logistic
  • Regression
  • Regress_DWTest
  • Regress_Stepwise
  • Regress_Constraint
  • Regress_White
  • Regress_MLS
  • Regress_CMLS
  • Regress_JBTest
  • Regress_pri
  • Regress_FTest
  • Regression_WLS
  • Regress_Binary
  • Regress_TTest
  • Regress_NLM
  • Regress_WLS
  • Regress_AicAndSbic
  • Regress_RSquare
  • Regress_QRlsq
  • boxcox
  • Regress_HettestSpearman
  • Regress_VIF
  • Regress_TTest_RWLS
  • Regress_TTest_White
  • Regress_TTest_NW
  • Regression_OLS_White
  • Regression_OLS_NW
  • NW_Adjustment_Simplification
  • Robustfit_M
  • Regress_GRStest

回归 / 回归公用函数

  • LeastSquares_CurveFitting

灰色系统

  • GM_Initial
  • GM_Corr
  • GM_AGO
  • GM_Icorr
  • GM_Scorr

主成分分析

  • PrincaipalComponentAnalysis

主成分分析 / 中间函数

  • Mbbub
  • ComponentScoreMatrix
  • FactorScoreMatrix
  • ComponentMatrix
  • RotatedComponentMatrix
  • Eigen_Jacobi
  • GetEigenValue
  • FScoreResult

时间序列分析

  • Time_Diff
  • Time_AutoCov
  • Time_ACF
  • Time_PACF
  • Time_RandomTest
  • Time_DanielTest
  • AR
  • ARMA
  • Time_ARCH
  • Time_GARCH
  • Times_ADFTest
  • Times_Cointergration_test
  • Times_ECM
  • Times_Granger
  • Time_ARp
  • Time_MAq
  • Time_ARMA
  • Time_GreenFun
  • Time_InvFun
  • Time_Analyse
  • Time_ChoseP
  • Times_Cointergration
  • GM_Estimate
  • Time_ARCHTest
  • GarchFit
  • Times_johansen
  • Times_GrangerCausality

时间序列分析 / 因果推断

  • Time_VolatilitySpillover

优化

  • NonLP_Hooke_Jeeves
  • Prog_L
  • NonLP_minPS
  • NonLP_Fibonacci
  • NonLP_Range
  • Fmin
  • NonLP_BSearch
  • Prog_M
  • NonLP_minFactor
  • NonLP_GP
  • NonLP_Fminsearch
  • NonLP_Fmincon
  • NonLP_minSUMT
  • Prog_Q
  • Prog_N
  • NonLP_Nelder
  • NonLP_Fminbnd
  • NonLP_Golden
  • TSOptimizer
  • Quadprog
  • LinearProgramming
  • NonLP_Rosenbrock
  • QuadLagR
  • OZProg
  • QuadTrackRoute
  • IntLinProg

优化 / 有约束优化算法

  • SUMT_Method

优化 / 无约束优化算法

  • Hooke_Jeeves_Method

优化 / 测试

  • H_J_Method_Pgm
  • Sumt_Method_CallBack

小波分析

  • Wavedec
  • wrcoef
  • wavelet

财务函数

  • DoubleDecliningBalance
  • FutureValue
  • InterestPayment
  • InterestRate
  • InternalRateOfReturn
  • NumberOfPeriods
  • NetPresentValue
  • Payment
  • PeriodPayment
  • PresentValue
  • SLNDepreciation
  • SYDDepreciation

增长率与比率

  • AccumulativeYTMtoYTM
  • YTMToAccumulativeYTM
  • RatioValue
  • OutPutValueByUnit
  • OutPutLnGrowRatio
  • OutPutGrowValue
  • OutPutGrowValue2
  • OutPutGrowRatio
  • OutPutGrowRatio2
  • MultyValue
  • OutPutGrowValue3
  • OutPutGrowRatio3
  • RatioValue_Math

概率分布 / 线性变换

  • Norm_LinearTransform

信号处理

  • filter_hp
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