Specify the interval in which to search for jumping numbers. IntervalType may be "Closed" (default), "Open", "ClosedOpen", or "OpenClosed".
i1 : R = QQ[x,y]; |
i2 : I = monomialIdeal(y^2,x^3); o2 : MonomialIdeal of R |
i3 : jumpingNumbers(I) -- default: interval [5/6, 2] Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 5 7 4 3 5 11 2 2 2 2 3 2 2 3 o3 = {{-, -, -, -, -, --, 2}, {ideal (y, x), ideal (y, x ), ideal (y , x*y, x ), ideal (y , x*y, x ), ideal (y , x y, x ), ideal 6 6 3 2 3 6 ---------------------------------------------------------------------------------------------------------------------------- 3 2 2 4 3 2 3 4 (y , x*y , x y, x ), ideal (y , x*y , x y, x )}} o3 : List |
i4 : jumpingNumbers(I,Interval=>{1,3/2}) -- [1,3/2] Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 7 4 3 2 2 2 2 3 o4 = {{-, -, -}, {ideal (y, x ), ideal (y , x*y, x ), ideal (y , x*y, x )}} 6 3 2 o4 : List |
i5 : jumpingNumbers(I,IntervalType=>"Open") -- (5/6,2) Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 7 4 3 5 11 2 2 2 2 3 2 2 3 3 2 2 o5 = {{-, -, -, -, --}, {ideal (y, x ), ideal (y , x*y, x ), ideal (y , x*y, x ), ideal (y , x y, x ), ideal (y , x*y , x y, 6 3 2 3 6 ---------------------------------------------------------------------------------------------------------------------------- 4 x )}} o5 : List |
i6 : jumpingNumbers(I,Interval=>{1,3/2},IntervalType=>"ClosedOpen") -- [1,3/2) Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3 Using Normaliz integer input types is deprecated, please use inequalities instead of 4 7 4 2 2 2 o6 = {{-, -}, {ideal (y, x ), ideal (y , x*y, x )}} 6 3 o6 : List |