Basic Examples (2) 

The following ordered 3-tuple sequence can be extended to infinity:

In[1]:=

Out[1]=

The function returns indices of one to ten for these ordered tuples:

In[2]:=

Out[2]=

Any nondecreasing list of nonnegative integers can be considered as an ordered tuple with a unique index:

In[3]:=

Out[3]=

The result above is an ordered tuple with a unique index:

In[4]:=

Out[4]=

Scope (3) 

Here are some ordered 2-tuples with their indices to show their structure:

In[5]:=

Out[5]=

The ordered 2-tuple {4,4} has an index of :

In[6]:=

Out[6]=

OrderedTupleIndex returns the same thing:

In[7]:=

Out[7]=

The structure of ordered 3-tuples in 3D:

In[8]:=

Out[8]=

Properties and Relations (3) 

Use Tuples to produce ordered 3-tuples:

In[9]:=

Out[9]=

The same sequence of ordered 3-tuples can be obtained from ordered Subsets:

In[10]:=

Out[10]=

Indices of this sequence:

In[11]:=

Out[11]=