Computer Graphics Through OpenGL: From Theory To Experiments, Second Edition

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Computer Graphics Through OpenGL: From Theory To Experiments, Second Edition

A:

With the help of Mathematica, I have reduced your results to one line, find out

It is the «combine characters» equivalent of ToUpper

EDIT
The question was

Why does ToUpper or UpperCase work for strings but [ToLower] does not?

Explanation
Preliminary result
string = «Bhagwant Singh Govinda Rajput ora» // String
ToUpper[string]

Applying a Function
We assume that the combination should work for input of any length,
and that the purpose is to determine the position of the first upper case letter.
We assume that other letters should not be removed
and that the function should be repeated in an \[Infinity] loop
until it returns nothing.
We start with the index of the first uppercase letter from the end:
f[n_, x_] := With[{u = StringCases[StringJoin[ToUpper[#]]][[-1]], k = n – u[[1, 1]]}, x + k]
f[20, 1]
f[20, 2]

We iterate the function until nothing is returned.
It suffices to be sure that the final position of the first upper case letter is equal to the position of the last uppercase letter plus the length of the input string:
Position[f[n_, #] & /@ Range[0, Length@string – 1], Infinity]
(* {{19, 20, 21}} *)

We can express the requirement, that there is no upper case letter between the uppercase letter and the first lower case letter
with the following:
FindNonUpper[k_, x_] := Position[
f[k, #] & /@ Range[0, Length@string – 1],
Infinity
] =!= {0, 0}
FindNonUpper[19, 2]
(* True *)

The approach
We see, that the position of the first upper case letter is the second element of the result
and that the position of the first lower case letter is the third element of the result,
and that the position of the first uppercase letter is the fourth element of the result,
and so on.
This is the outline of the solution:

The position

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