Description Usage Arguments Value See Also Examples

View source: R/is.decreasing.on.y.R

`is.decreasing.on.y`

tests for any fixed *x* from `x.bound`

, if the introduced two-variable function *f(x,y)* is decreasing toward *y* on the considered `y.bound`

or not.
In other words, `is.decreasing.on.y`

returns `TRUE`

if the introduced function *f(x,y)* is decreasing function of *y* on the considered `y.bound`

(for any fixed *x* in `x.bound`

); and it returns `FALSE`

otherwise.
The goal of introducing function `is.decreasing.on.y`

in package `FuzzyNumbers.Ext.2`

is using in function `f2apply`

.

1 | ```
is.decreasing.on.y(fun, x.bound = c(-1, 1), y.bound = c(-1, 1), step = 0.01)
``` |

`fun` |
a two-variable R function |

`x.bound` |
a vector with two real ordered elements which determine a bound on x-axis for checking the monotonic |

`y.bound` |
a vector with two real ordered elements which determine a bound on y-axis for checking the monotonic |

`step` |
a positive real-valued number which determine the increment of the considered sequence for checking the monotonic of the considered function. The default of |

`TRUE`

for two-variable function f(x,y) which is decreasing toward y on `y.bound`

(for any fixed *x* from `x.bound`

); and otherwise `FALSE`

`is.decreasing`

, `is.decreasing.on.x`

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | ```
is.decreasing.on.y(fun=function(x,y) 2*x-y, x.bound=c(0,2), y.bound=c(1,2), step=.2)
H = function(x,y) pnorm(x)-pnorm(y)
is.decreasing.on.x(H)
is.decreasing.on.y(H)
## The function is currently defined as
function (fun, x.bound = c(-1, 1), y.bound = c(-1, 1), step = 0.01)
{
x = seq(x.bound[1], x.bound[2], by = step)
for (i in 1:length(x)) {
g = function(y) fun(x[i], y)
if (is.decreasing(g, y.bound, step) == FALSE) {
return(FALSE)
}
}
return(TRUE)
}
``` |

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