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This last example shows that a set that is intuitively "nearly sorted" can still have a quadratic number of inversions. The inversion number is the number of crossings in the arrow diagram of the permutation, [6] the permutation's Kendall tau distance from the identity permutation, and the sum of each of the inversion related vectors defined below.
The order of the natural numbers shown on the number line. A number line is a graphical representation of a straight line that serves as spatial representation of numbers, usually graduated like a ruler with a particular origin point representing the number zero and evenly spaced marks in either direction representing integers, imagined to extend infinitely.
The first three values of the expression x[5]2.The value of 3[5]2 is 7 625 597 484 987; values for higher x, such as 4[5]2, which is about 2.361 × 10 8.072 × 10 153 are much too large to appear on the graph.
Abbreviation of "therefore". Placed between two assertions, it means that the first one implies the second one. For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one.
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You'll never find someone who loves Ragdoll cats like one woman does. The vet tech was so excited when she saw there was a Ragdoll on the schedule for that day.
The number line. Numbers appearing farther to the right on this line are greater, while numbers appearing farther to the left are lesser. Thus zero appears in the middle, with the positive numbers to the right and the negative numbers to the left. Note that a negative number with greater magnitude is considered less. For example, even though ...