DanieleGregori/GeneralizedRange | Paclet Repository

DanieleGregori`GeneralizedRange`

TranscendentalRange

TranscendentalRange[x]
	gives all transcendental numbers of the form t = b·e^a with 1 ≤ t ≤ x, where a and b are algebraics in Range[x].

TranscendentalRange[x,y]
	gives all transcendental numbers of the form t = b·e^a with x ≤ t ≤ y, where a and b are algebraics in Range[x, y].

TranscendentalRange[x,y,s]
	gives all transcendental numbers of the form t = b·e^a with x ≤ t ≤ y and s > 0, where a and b are algebraics in Range[x, y, s].

TranscendentalRange[x,y,s,d]
	requires a lower bound on the steps d.

TranscendentalRange[f,{x}]
	gives all transcendental numbers of the form t = b·f[a] with 1 ≤ t ≤ x, f any transcendental function and a, b algebraics in Range[x].

TranscendentalRange[f,{x,y}]
	gives all transcendental numbers of the form t = b·f[a] with x ≤ t ≤ y, f any transcendental function and a, b algebraics in Range[x, y].

TranscendentalRange[f,{x,y,s}]
	gives all transcendental numbers of the form t = b·f[a] with x ≤ t ≤ y and s > 0, f any transcendental function and a, b algebraics in Range[x, y, s].

TranscendentalRange[f,{x,y,s},d]
	requires a lower bound on the steps d.

TranscendentalRange[{f1,f2,...},{x,y,s},d]
	generates ranges in terms of the transcendental functions f1, f2, ... .

TranscendentalRange[All,{x,y,s},d]
	generates a range in terms of all elementary transcendental functions.

Details and Options

Examples

(30)

Basic Examples

(3)

A range of positive transcendental numbers:

In[1]:=

TranscendentalRange

[10]

Out[1]=

{,2,

2



,3}

Negative and positive transcendental numbers:

In[1]:=

TranscendentalRange

[-2,2]

Out[1]=

-

2



,-

1



,-

2

2



,-

1

2



,

1

2



,

2

2



,

1



,

2





A transcendental range with non-unit step:

In[1]:=

TranscendentalRange

[0,4,1/2]

Out[1]=





2

,



2

,



,

3/2



2

,

3



2

,,2



,

2



2



Scope

(4)



Options

(15)



Applications

(4)



Properties and Relations

(1)



Possible Issues

(1)



Neat Examples

(2)



SeeAlso

AlgebraicRange

""