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For example: let rec even n = (n = 0u) || odd(n-1u) and odd n = (n <> 0u) && even(n-1u) This gives the following types: val even : uint32 -> bool val odd : uint32 -> bool Of course, a more efficient, nonrecursive implementation of these is available! let even (n:uint32) = (n % 2u) = 0u let odd (n:uint32) = (n % 2u) = 1u You must sometimes take care with recursive functions to ensure that they re tail recursive, or else the computation stack of your program may be exhausted by large inputs This is particularly important for library functions or functions that operate over large data structures with very large numbers of recursive calls Indeed, the implementation of length shown previously isn t tail recursive 8 discusses tail recursion in depth..

Once you have set up Open Directory, to effectively secure client systems and communications between clients and the server, you ll want to secure the actual Open Directory services. The next step after using SSL to secure transport communications is to move on to securing the communications between clients and the server by using binding policies. On the Binding sub-tab of the Open Directory Policy tab (see Figure 16 8), you will find the option to Enable Authenticated Directory Binding. This option is used to give Mac OS X clients a directory administrator s username and password to create a computer record in the Open Directory database, and then enforce a rule that only Mac OS X computers with computer records will be allowed to bind to the directory service. This standard computer record is then associated with a Kerberos principal, though you won t see a difference in the graphical interface. With the Kerberos principal, the client and server can then verify the integrity of their communication with one another.

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This section covers the foundational building block of F# functional programming: function values. We begin with a simple and well-known example: using function values to transform one list into another. One of the primary uses of F# lists is as a general-purpose, concrete data structure for storing ordered input lists and ordered results. Input lists are often transformed to output lists using aggregate operations that transform, select, filter, and categorize elements of the list according to a range of criteria. These aggregate operations provide an excellent introduction to how to use function values. Let s take a closer look at this in the following code sample, which continues from the definition of http from Listing 2-2 in 2:

Once you have enabled authenticated directory binding, the next step is to force Mac OS X workstations into authenticated, or trusted, binding by selecting the Require Authenticated Binding Between Directory and Clients option. This will require a Mac OS X client to actually bind to the domain rather than just query it for login settings (adding the directory services entry into the search path), which is how an unauthenticated, or untrusted bind, works. Binding to Open Directory increases the security of the network by forcing all clients who log into the server to be bound to the server. Binding options can also enforce more stringent security requirements by forcing client systems to follow certain rules in how they communicate with the server, whether they are Mac OS X clients or an LDAP client from a different operating system. The options listed in the Security field enforce communication policies and include the following: Disable clear text passwords: This forces clients to encrypt data communications to the server. Digitally sign all packets: This places checksums on digital communications. Encrypt all packets: This forces clients to use SSL or Kerberos. Block man-in-the-middle attacks: This option checks to see whether the signatures match the session keys.

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