Measurements without a dimension (raw number)

Actually number of samples does have a unit, i.e. samples. So you could say:

I have 101 samples

Just as you can say

I ran 100 km.

So if you are counting something, e.g. samples, apples, people, etc., then use that as the unit.

A quantity without a unit is often a ratio, e.g. a ratio of length (metres) to width (metres) would have no units because metre/metre cancels out; although ratio is probably too broad a term, since it doesn't exclude units.

If you want to represent a number that has no dimension then dimensionless is an accepted term.

Other possible terms:

• % (percent)
• ppm (parts per million)
• degrees

More are listed in the above linked Wikipedia article.

These all depend on what you are measuring.

It may depend on the context. However, you could use quantity or amount, even numbers depending on the nature of the object.

It is also a practice to use the hash [#] symbol to represent 'number of'.

I would certainly not use unidimensional unless the focus is actually on that attribute and not the measurement itself.

All the above keeping in mind we are discussing the language part of the issue, not the technicalities.

@Matt: Thanks for the link.

Such units for counting are called cardinal numbers.