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Take Pascal's triangle, which is a triangular array of numbers in which those at the ends of the rows are 1 and each of the other numbers is the sum of the nearest two numbers in the row just above it (the apex, 1, being at the top). The following is an APL one-liner function to visually depict Pascal's triangle:
InScript (short for Indic Script) is the decreed standard keyboard layout for Indian scripts using a standard 104- or 105-key layout.This keyboard layout was standardised by the Government of India for inputting text in languages of India written in Brahmic scripts, as well as the Santali language, written in the non-Brahmic Ol Chiki script. [1]
Abstraction may be exact or faithful with respect to a property if one can answer a question about the property equally well on the concrete or abstract model. For instance, if one wishes to know what the result of the evaluation of a mathematical expression involving only integers +, -, ×, is worth modulo n , then one needs only perform all ...
Chart 1 collects 352 simplified characters that generally cannot be used as components. Even in rare cases where a Chart 1 character is found as a component in a compound character, the compound character cannot be simplified in the same way. For instance, 習 is simplified in Chart 1 to 习, but 褶 cannot be simplified to ⿰衤习.
For example, in Python, to print the string Hello, World! followed by a newline, one only needs to write print ("Hello, World!" In contrast, the equivalent code in C++ [ 7 ] requires the import of the input/output (I/O) software library , the manual declaration of an entry point , and the explicit instruction that the output string should be ...
For example, in the expression (f(x)-1)/(f(x)+1), the function f cannot be called only once with its value used two times since the two calls may return different results. Moreover, in the few languages which define the order of evaluation of the division operator's operands, the value of x must be fetched again before the second call, since ...
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
[1] [2] The image of the written text may be sensed "off line" from a piece of paper by optical scanning (optical character recognition) or intelligent word recognition. Alternatively, the movements of the pen tip may be sensed "on line", for example by a pen-based computer screen surface, a generally easier task as there are more clues available.