| x | y | op | codomain |
|---|---|---|---|
| v_count | v_count | + | count |
| v_continuous | v_count | + | undefined |
| v_continuous_nonneg | v_count | + | undefined |
| v_binary | v_count | + | undefined |
| double | v_count | + | undefined |
| integer | v_count | + | count |
| v_count | v_continuous | + | undefined |
| v_continuous | v_continuous | + | continuous |
| v_continuous_nonneg | v_continuous | + | continuous |
| v_binary | v_continuous | + | undefined |
| double | v_continuous | + | continuous |
| integer | v_continuous | + | continuous |
| v_count | v_continuous_nonneg | + | undefined |
| v_continuous | v_continuous_nonneg | + | continuous |
| v_continuous_nonneg | v_continuous_nonneg | + | continuous nonnegative |
| v_binary | v_continuous_nonneg | + | undefined |
| double | v_continuous_nonneg | + | continuous |
| integer | v_continuous_nonneg | + | continuous |
| v_count | v_binary | + | undefined |
| v_continuous | v_binary | + | undefined |
| v_continuous_nonneg | v_binary | + | undefined |
| v_binary | v_binary | + | binary |
| double | v_binary | + | undefined |
| integer | v_binary | + | undefined |
| v_count | double | + | undefined |
| v_continuous | double | + | continuous |
| v_continuous_nonneg | double | + | continuous |
| v_binary | double | + | undefined |
| v_count | integer | + | count |
| v_continuous | integer | + | continuous |
| v_continuous_nonneg | integer | + | continuous |
| v_binary | integer | + | undefined |
| v_count | v_count | - | integer |
| v_continuous | v_count | - | undefined |
| v_continuous_nonneg | v_count | - | undefined |
| v_binary | v_count | - | undefined |
| double | v_count | - | undefined |
| integer | v_count | - | integer |
| v_count | v_continuous | - | undefined |
| v_continuous | v_continuous | - | continuous |
| v_continuous_nonneg | v_continuous | - | continuous |
| v_binary | v_continuous | - | undefined |
| double | v_continuous | - | continuous |
| integer | v_continuous | - | continuous |
| v_count | v_continuous_nonneg | - | undefined |
| v_continuous | v_continuous_nonneg | - | continuous |
| v_continuous_nonneg | v_continuous_nonneg | - | continuous |
| v_binary | v_continuous_nonneg | - | undefined |
| double | v_continuous_nonneg | - | continuous |
| integer | v_continuous_nonneg | - | continuous |
| v_count | v_binary | - | undefined |
| v_continuous | v_binary | - | undefined |
| v_continuous_nonneg | v_binary | - | undefined |
| v_binary | v_binary | - | undefined |
| double | v_binary | - | undefined |
| integer | v_binary | - | undefined |
| v_count | double | - | undefined |
| v_continuous | double | - | continuous |
| v_continuous_nonneg | double | - | continuous |
| v_binary | double | - | undefined |
| v_count | integer | - | integer |
| v_continuous | integer | - | continuous |
| v_continuous_nonneg | integer | - | continuous |
| v_binary | integer | - | undefined |
| v_count | v_count | * | undefined |
| v_continuous | v_count | * | undefined |
| v_continuous_nonneg | v_count | * | undefined |
| v_binary | v_count | * | count |
| double | v_count | * | undefined |
| integer | v_count | * | count |
| v_count | v_continuous | * | undefined |
| v_continuous | v_continuous | * | continuous |
| v_continuous_nonneg | v_continuous | * | continuous |
| v_binary | v_continuous | * | continuous |
| double | v_continuous | * | continuous |
| integer | v_continuous | * | continuous |
| v_count | v_continuous_nonneg | * | undefined |
| v_continuous | v_continuous_nonneg | * | continuous |
| v_continuous_nonneg | v_continuous_nonneg | * | continuous nonnegative |
| v_binary | v_continuous_nonneg | * | continuous nonnegative |
| double | v_continuous_nonneg | * | continuous |
| integer | v_continuous_nonneg | * | continuous |
| v_count | v_binary | * | count |
| v_continuous | v_binary | * | continuous |
| v_continuous_nonneg | v_binary | * | continuous nonnegative |
| v_binary | v_binary | * | binary |
| double | v_binary | * | double |
| integer | v_binary | * | integer |
| v_count | double | * | undefined |
| v_continuous | double | * | continuous |
| v_continuous_nonneg | double | * | continuous |
| v_binary | double | * | double |
| v_count | integer | * | count |
| v_continuous | integer | * | continuous |
| v_continuous_nonneg | integer | * | continuous |
| v_binary | integer | * | integer |
| v_count | v_count | ^ | undefined |
| v_continuous | v_count | ^ | undefined |
| v_continuous_nonneg | v_count | ^ | undefined |
| v_binary | v_count | ^ | count |
| double | v_count | ^ | undefined |
| integer | v_count | ^ | count |
| v_count | v_continuous | ^ | undefined |
| v_continuous | v_continuous | ^ | continuous |
| v_continuous_nonneg | v_continuous | ^ | continuous nonnegative |
| v_binary | v_continuous | ^ | continuous |
| double | v_continuous | ^ | continuous |
| integer | v_continuous | ^ | continuous |
| v_count | v_continuous_nonneg | ^ | undefined |
| v_continuous | v_continuous_nonneg | ^ | continuous |
| v_continuous_nonneg | v_continuous_nonneg | ^ | continuous nonnegative |
| v_binary | v_continuous_nonneg | ^ | continuous nonnegative |
| double | v_continuous_nonneg | ^ | continuous |
| integer | v_continuous_nonneg | ^ | continuous |
| v_count | v_binary | ^ | count |
| v_continuous | v_binary | ^ | continuous |
| v_continuous_nonneg | v_binary | ^ | continuous nonnegative |
| v_binary | v_binary | ^ | undefined |
| double | v_binary | ^ | double |
| integer | v_binary | ^ | integer |
| v_count | double | ^ | undefined |
| v_continuous | double | ^ | continuous |
| v_continuous_nonneg | double | ^ | continuous nonnegative |
| v_binary | double | ^ | double |
| v_count | integer | ^ | count |
| v_continuous | integer | ^ | continuous |
| v_continuous_nonneg | integer | ^ | continuous nonnegative |
| v_binary | integer | ^ | integer |
| v_count | v_count | %% | undefined |
| v_continuous | v_count | %% | undefined |
| v_continuous_nonneg | v_count | %% | undefined |
| v_binary | v_count | %% | undefined |
| double | v_count | %% | undefined |
| integer | v_count | %% | undefined |
| v_count | v_continuous | %% | undefined |
| v_continuous | v_continuous | %% | undefined |
| v_continuous_nonneg | v_continuous | %% | undefined |
| v_binary | v_continuous | %% | undefined |
| double | v_continuous | %% | undefined |
| integer | v_continuous | %% | undefined |
| v_count | v_continuous_nonneg | %% | undefined |
| v_continuous | v_continuous_nonneg | %% | undefined |
| v_continuous_nonneg | v_continuous_nonneg | %% | undefined |
| v_binary | v_continuous_nonneg | %% | undefined |
| double | v_continuous_nonneg | %% | undefined |
| integer | v_continuous_nonneg | %% | undefined |
| v_count | v_binary | %% | undefined |
| v_continuous | v_binary | %% | undefined |
| v_continuous_nonneg | v_binary | %% | undefined |
| v_binary | v_binary | %% | undefined |
| double | v_binary | %% | undefined |
| integer | v_binary | %% | undefined |
| v_count | double | %% | undefined |
| v_continuous | double | %% | undefined |
| v_continuous_nonneg | double | %% | undefined |
| v_binary | double | %% | undefined |
| v_count | integer | %% | undefined |
| v_continuous | integer | %% | undefined |
| v_continuous_nonneg | integer | %% | undefined |
| v_binary | integer | %% | undefined |
| v_count | v_count | %/% | undefined |
| v_continuous | v_count | %/% | undefined |
| v_continuous_nonneg | v_count | %/% | undefined |
| v_binary | v_count | %/% | undefined |
| double | v_count | %/% | undefined |
| integer | v_count | %/% | undefined |
| v_count | v_continuous | %/% | undefined |
| v_continuous | v_continuous | %/% | undefined |
| v_continuous_nonneg | v_continuous | %/% | undefined |
| v_binary | v_continuous | %/% | undefined |
| double | v_continuous | %/% | undefined |
| integer | v_continuous | %/% | undefined |
| v_count | v_continuous_nonneg | %/% | undefined |
| v_continuous | v_continuous_nonneg | %/% | undefined |
| v_continuous_nonneg | v_continuous_nonneg | %/% | undefined |
| v_binary | v_continuous_nonneg | %/% | undefined |
| double | v_continuous_nonneg | %/% | undefined |
| integer | v_continuous_nonneg | %/% | undefined |
| v_count | v_binary | %/% | undefined |
| v_continuous | v_binary | %/% | undefined |
| v_continuous_nonneg | v_binary | %/% | undefined |
| v_binary | v_binary | %/% | undefined |
| double | v_binary | %/% | undefined |
| integer | v_binary | %/% | undefined |
| v_count | double | %/% | undefined |
| v_continuous | double | %/% | undefined |
| v_continuous_nonneg | double | %/% | undefined |
| v_binary | double | %/% | undefined |
| v_count | integer | %/% | undefined |
| v_continuous | integer | %/% | undefined |
| v_continuous_nonneg | integer | %/% | undefined |
| v_binary | integer | %/% | undefined |
| v_count | v_count | / | undefined |
| v_continuous | v_count | / | undefined |
| v_continuous_nonneg | v_count | / | undefined |
| v_binary | v_count | / | undefined |
| double | v_count | / | undefined |
| integer | v_count | / | continuous |
| v_count | v_continuous | / | undefined |
| v_continuous | v_continuous | / | continuous |
| v_continuous_nonneg | v_continuous | / | continuous |
| v_binary | v_continuous | / | undefined |
| double | v_continuous | / | continuous |
| integer | v_continuous | / | continuous |
| v_count | v_continuous_nonneg | / | undefined |
| v_continuous | v_continuous_nonneg | / | continuous |
| v_continuous_nonneg | v_continuous_nonneg | / | continuous nonnegative |
| v_binary | v_continuous_nonneg | / | undefined |
| double | v_continuous_nonneg | / | continuous |
| integer | v_continuous_nonneg | / | continuous |
| v_count | v_binary | / | undefined |
| v_continuous | v_binary | / | undefined |
| v_continuous_nonneg | v_binary | / | undefined |
| v_binary | v_binary | / | undefined |
| double | v_binary | / | undefined |
| integer | v_binary | / | undefined |
| v_count | double | / | undefined |
| v_continuous | double | / | continuous |
| v_continuous_nonneg | double | / | continuous |
| v_binary | double | / | undefined |
| v_count | integer | / | continuous |
| v_continuous | integer | / | continuous |
| v_continuous_nonneg | integer | / | continuous |
| v_binary | integer | / | undefined |
| group | op | domain | codomain |
|---|---|---|---|
| Math | abs | count | continuous nonnegative |
| Math | sign | count | undefined |
| Math | sqrt | count | continuous nonnegative |
| Math | ceiling | count | undefined |
| Math | floor | count | undefined |
| Math | trunc | count | undefined |
| Math | cummax | count | count |
| Math | cummin | count | count |
| Math | cumprod | count | count |
| Math | cumsum | count | count |
| Math | exp | count | continuous nonnegative |
| Math | expm1 | count | undefined |
| Math | log | count | continuous nonnegative |
| Math | log10 | count | undefined |
| Math | log2 | count | undefined |
| Math | log1p | count | continuous nonnegative |
| Math | cos | count | undefined |
| Math | cosh | count | undefined |
| Math | sin | count | undefined |
| Math | sinh | count | undefined |
| Math | tan | count | undefined |
| Math | tanh | count | undefined |
| Math | acos | count | undefined |
| Math | acosh | count | undefined |
| Math | asin | count | undefined |
| Math | asinh | count | undefined |
| Math | atan | count | undefined |
| Math | atanh | count | undefined |
| Math | cospi | count | undefined |
| Math | sinpi | count | undefined |
| Math | tanpi | count | undefined |
| Math | gamma | count | undefined |
| Math | lgamma | count | undefined |
| Math | digamma | count | undefined |
| Math | trigamma | count | undefined |
| Summary | max | count | integer |
| Summary | min | count | integer |
| Summary | range | count | integer |
| Summary | prod | count | undefined |
| Summary | sum | count | integer |
| Summary | any | count | undefined |
| Summary | all | count | undefined |
| Math | abs | binary | undefined |
| Math | sign | binary | undefined |
| Math | sqrt | binary | undefined |
| Math | ceiling | binary | undefined |
| Math | floor | binary | undefined |
| Math | trunc | binary | undefined |
| Math | cummax | binary | binary |
| Math | cummin | binary | binary |
| Math | cumprod | binary | binary |
| Math | cumsum | binary | count |
| Math | exp | binary | undefined |
| Math | expm1 | binary | undefined |
| Math | log | binary | undefined |
| Math | log10 | binary | undefined |
| Math | log2 | binary | undefined |
| Math | log1p | binary | undefined |
| Math | cos | binary | undefined |
| Math | cosh | binary | undefined |
| Math | sin | binary | undefined |
| Math | sinh | binary | undefined |
| Math | tan | binary | undefined |
| Math | tanh | binary | undefined |
| Math | acos | binary | undefined |
| Math | acosh | binary | undefined |
| Math | asin | binary | undefined |
| Math | asinh | binary | undefined |
| Math | atan | binary | undefined |
| Math | atanh | binary | undefined |
| Math | cospi | binary | undefined |
| Math | sinpi | binary | undefined |
| Math | tanpi | binary | undefined |
| Math | gamma | binary | undefined |
| Math | lgamma | binary | undefined |
| Math | digamma | binary | undefined |
| Math | trigamma | binary | undefined |
| Summary | max | binary | undefined |
| Summary | min | binary | undefined |
| Summary | range | binary | undefined |
| Summary | prod | binary | undefined |
| Summary | sum | binary | integer |
| Summary | any | binary | logical |
| Summary | all | binary | logical |
| Math | abs | continuous | continuous nonnegative |
| Math | sign | continuous | undefined |
| Math | sqrt | continuous | undefined |
| Math | ceiling | continuous | undefined |
| Math | floor | continuous | undefined |
| Math | trunc | continuous | undefined |
| Math | cummax | continuous | continuous |
| Math | cummin | continuous | continuous |
| Math | cumprod | continuous | continuous |
| Math | cumsum | continuous | continuous |
| Math | exp | continuous | continuous nonnegative |
| Math | expm1 | continuous | undefined |
| Math | log | continuous | undefined |
| Math | log10 | continuous | undefined |
| Math | log2 | continuous | undefined |
| Math | log1p | continuous | undefined |
| Math | cos | continuous | undefined |
| Math | cosh | continuous | undefined |
| Math | sin | continuous | undefined |
| Math | sinh | continuous | undefined |
| Math | tan | continuous | undefined |
| Math | tanh | continuous | undefined |
| Math | acos | continuous | undefined |
| Math | acosh | continuous | undefined |
| Math | asin | continuous | undefined |
| Math | asinh | continuous | undefined |
| Math | atan | continuous | undefined |
| Math | atanh | continuous | undefined |
| Math | cospi | continuous | undefined |
| Math | sinpi | continuous | undefined |
| Math | tanpi | continuous | undefined |
| Math | gamma | continuous | undefined |
| Math | lgamma | continuous | undefined |
| Math | digamma | continuous | undefined |
| Math | trigamma | continuous | undefined |
| Summary | max | continuous | double |
| Summary | min | continuous | double |
| Summary | range | continuous | undefined |
| Summary | prod | continuous | undefined |
| Summary | sum | continuous | double |
| Summary | any | continuous | undefined |
| Summary | all | continuous | undefined |
| Math | abs | continuous nonnegative | continuous nonnegative |
| Math | sign | continuous nonnegative | undefined |
| Math | sqrt | continuous nonnegative | continuous nonnegative |
| Math | ceiling | continuous nonnegative | undefined |
| Math | floor | continuous nonnegative | undefined |
| Math | trunc | continuous nonnegative | undefined |
| Math | cummax | continuous nonnegative | continuous nonnegative |
| Math | cummin | continuous nonnegative | continuous nonnegative |
| Math | cumprod | continuous nonnegative | continuous nonnegative |
| Math | cumsum | continuous nonnegative | continuous nonnegative |
| Math | exp | continuous nonnegative | continuous nonnegative |
| Math | expm1 | continuous nonnegative | undefined |
| Math | log | continuous nonnegative | continuous |
| Math | log10 | continuous nonnegative | undefined |
| Math | log2 | continuous nonnegative | undefined |
| Math | log1p | continuous nonnegative | continuous nonnegative |
| Math | cos | continuous nonnegative | undefined |
| Math | cosh | continuous nonnegative | undefined |
| Math | sin | continuous nonnegative | undefined |
| Math | sinh | continuous nonnegative | undefined |
| Math | tan | continuous nonnegative | undefined |
| Math | tanh | continuous nonnegative | undefined |
| Math | acos | continuous nonnegative | undefined |
| Math | acosh | continuous nonnegative | undefined |
| Math | asin | continuous nonnegative | undefined |
| Math | asinh | continuous nonnegative | undefined |
| Math | atan | continuous nonnegative | undefined |
| Math | atanh | continuous nonnegative | undefined |
| Math | cospi | continuous nonnegative | undefined |
| Math | sinpi | continuous nonnegative | undefined |
| Math | tanpi | continuous nonnegative | undefined |
| Math | gamma | continuous nonnegative | undefined |
| Math | lgamma | continuous nonnegative | undefined |
| Math | digamma | continuous nonnegative | undefined |
| Math | trigamma | continuous nonnegative | undefined |
| Summary | max | continuous nonnegative | double |
| Summary | min | continuous nonnegative | double |
| Summary | range | continuous nonnegative | undefined |
| Summary | prod | continuous nonnegative | undefined |
| Summary | sum | continuous nonnegative | double |
| Summary | any | continuous nonnegative | undefined |
| Summary | all | continuous nonnegative | undefined |