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There are several distinct ways of traversing, or sequencing, the nodes of an ordered tree. Three important ones are described in the literature: preorder, postorder, and inorder. They can be explained by means of the following recursive procedures (pseudocode again): operator preorder ( root ) ; emit root ; do for each child ( root ) left to right ; emit preorder ( child ( root ) ) ; end do ; end preorder ; operator postorder ( root ) ; do for each child ( root ) left to right ; emit postorder ( child ( root ) ) ; end do ; emit root ; end postorder ; operator inorder ( root ) ; emit inorder ( first child ( root ) ) ; emit root ; do for each child ( root ) left to right after the first ; emit inorder ( child ( root ) ) ; end do ; end inorder ; For example, consider the tree shown in Figure 14-1 once again. Assume it s ordered as that figure suggests. Then:

wired network, causing a breach in the network that can then be exploited by someone tapping in from an outside location, such as a parking lot or nearby coffee shop These and other security threats make it important to practice good security when configuring wireless networks To properly secure a wireless network, it is key to first have a fundamental understanding of what a wireless network is A wireless network is different from an Ethernet network or a local area network (LAN), although the topologies often follow many of the same standards covered in 10 In fact, a wireless network is often referred to as a wireless LAN (wLAN) Logging in to a wireless network is like connecting to a hub with all the other users of that network.

Using JavaScript generics as described in this recipe is IDE-friendly because you are not creating buffers by hand, and you are not writing code with special tags that IDEs such as X-develop, Visual Studio, Komodo, and Visual SlickEdit do not understand..

Preorder yields: A, B, C, D, F, E, G, H, I Postorder yields: C, F, D, E, B, H, I, G, A Inorder yields: C, B, F, D, E, A, H, G, I Actually, any ordered tree is equivalent in a specific sense to a certain ordered binary tree (see, e.g., Donald E. Knuth s book The Art of Computer Programming Volume I: Fundamental Algorithms, 3rd edition, Addison-Wesley, 1997, pages 334 335). We could make life a little simpler, therefore, by defining the foregoing operators in terms of ordered binary trees only: operator preorder ( root ) ; emit root ; emit preorder ( left child ( root ) ) ; emit preorder ( right child ( root ) ) ; end preorder ; operator postorder ( root ) ; emit postorder ( left child ( root ) ) ; emit postorder ( right child ( root ) ) ; emit root ; end postorder ; operator inorder ( root ) ; emit inorder ( left child ( root ) ) ; emit root ; emit inorder ( right child ( root ) ) ; end inorder ; As you can see, the simplified version of inorder in particular here is identical to the pseudocode procedure of the same name in the previous section, which explains why I used that name in that section.

But rather than traveling across copper wires to interconnect devices like LAN networks, wireless networks use channelized, low-powered radio waves running on the same frequencies as microwave ovens and cordless telephones The 24GHz band is pretty crowded these days, now that the Bluetooth technology also runs on this frequency This can often place a large quantity of traffic on these channels, causing data to get lost or fragmented in transit The speed and reliability of a wireless network depends on the hardware and proximity of the devices Ranges between wireless devices are typically limited to a few hundred feet The greater the distance, the greater the chance that packets will be intercepted NOTE: A key element to focus on when studying wireless security is what happens with data that is not properly delivered between wireless devices.

I ll now show how to do the generalized i.e., nonbinary version of preorder relationally. (I ll leave postorder and inorder as exercises. They re very similar, of course.) First, here in outline is an appropriate database design. I ve assumed for simplicity that the values in the nodes are integers. NODE { ID INTEGER, V INTEGER } KEY { ID } PC { PARENT INTEGER, FIRST_CHILD INTEGER } KEY { PARENT } KEY { FIRST_CHILD } LR { LEFT INTEGER, RIGHT INTEGER } KEY { LEFT } KEY { RIGHT } NODE { ID, V, FIRST_CHILD, NEXT_SIB } KEY { ID }