coding area, and the programmer can skim over these "parts" and get ideas. Forth is another language whose extraordinary decomposability is valuable to study and understand. If you like to submit your essay to the list below. Here is one example of how a programming environment can make meaning transparent, by providing labels on mouse-over: Control structures can be labeled as well. That is, the programmer can still create by reacting, but she's creating and reacting at higher levels. Can the programmer break down her thoughts into mind-sized pieces? At each stage, the programmer has interactive control over the relevant parameters, but the parameters are at successively higher levels of abstraction.
By skimming over the execution of that line of code, we can see all of the values that scaleFactor takes on, and when. After typing just a couple of characters, the programmer immediately sees something on the screen, and can proceed to adjust. Because this metaphor carries no computational power (you cannot compute by filling in pixels all computation occurs outside the bounds of the metaphor. Cocoa follows strong grammatical conventions which immediately convey the meanings of methods. Take a moment to look at that line, and think about these questions: What values does scaleFactor take on? . One of the deepest and most powerful ideas in mathematics is the relationship between a differential formulation (such as a step-by-step process, gay marriage essay australia like our "draw" function) and its integrated form (such as a function of time, or plot over time).
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