What are the values of the following expressions? (a) "Me"<"You" (b) " Me "<" ME " (c) "Me"<"Men

What are the values of the following expressions? (a)...

Key Concepts

Lexicographical Ordering

Lexicographical ordering is the method of comparing sequences by evaluating their elements one by one, starting from the first. For strings, this means comparing the numerical values (often ASCII or Unicode codes) of corresponding characters until a difference is found, with any string that is a prefix of another usually considered smaller.

String Literals and Their Comparisons

String literals are fixed sequences of characters written directly in the source code. In many programming languages, when these literals are compared using operators like <, the comparison is done lexicographically, character by character, taking into account the underlying encoding and the overall structure of the string.

Case Sensitivity in String Comparisons

Case sensitivity refers to treating uppercase and lowercase letters as distinct due to their different numerical representations in character encoding systems. This is crucial during string comparisons since, for example, an uppercase letter may be considered either less than or greater than its lowercase counterpart depending on the encoding values.

Custom or Locale-aware String Comparison

Custom string comparison functions (sometimes indicated by identifiers like LLT) enable comparisons that need to consider specific rules, such as locale-specific collation or other application-specific ordering requirements. These functions go beyond simple lexicographical order, incorporating additional factors in determining the relative order of strings.

Transcript

00:01 All right, so we need to compare these two expressions, the absolute value of negative 5, and negative absolute value of negative 5.

00:11 So the easiest way to compare these is to simplify them until we just get numbers.

00:18 So that's what we're going to do.

00:20 On the left hand side, we have the absolute value of negative 5.

00:24 So all we have to do here is simplify that absolute value.

00:28 So the absolute value is just asking how far is the number negative 5 from 0? and on the number line, if you were looking for negative 5, you would start at 0 and move 5 spaces to the left.

00:41 So that tells us that negative 5 is 5 spaces away from 0.

00:48 So the absolute value of negative 5 is just 5.

00:52 On the right hand side, we have something similar, except there's also a negative sign in front.

00:58 So we've seen that the absolute value of negative 5 is just 5, and then we need to bring down that negative sign in front.

01:10 So that becomes negative 5.

01:13 So now that we've got these down to just numbers, we just need to compare them.

01:18 So the way that i like to compare numbers is i just make a number line, and i figure out which side of the number line these belong on.

01:26 So positive 5 is positive, so that's.

01:29 Should be five spaces to the right of 0.

01:34 And then negative 5 is negative, so that's going to be five spaces to the left of 0.

01:44 So looking at the number line, we can see that positive 5 is to the right of negative 5.

01:48 So that means positive 5 is the bigger number here.

01:52 When you're trying to figure out which of these symbols to use, it's always easiest to just think that the inequality is an alligator, and it's going to open its mouth to the bigger number.

02:04 So this side is where it's opening its mouth to.

02:06 So in this case, that would be the bigger number...

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