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For good hashing algorithms, collisions (two plain texts that produce the same hash) are extremely difficult to find, although they do exist Collisions must exist, as there are infinite possible inputs to a hash function but only a finite range of outputs Symmetric-key cryptosystems typically use the same key for encryption and decryption A disadvantage of symmetric ciphers is that a complicated key management system is necessary to use them securely Each distinct pair of communicating parties must share a different key The number of keys required increases with the number of network members This requires very complex key management schemes in large networks It is also difficult to establish a secret key exchange between two communicating parties when a secure channel doesn t already exist between them NOTE: If you don't already have a secure channel, it's impossible to establish a shared but secret key.

If you create an instance of the class using F# Interactive, you can inspect the actual type by using the GetType method. The output is as follows: > let p = APoint();; val p : APoint > p.GetType();; val it : System.Type = FSI_0002+APoint {Assembly = FSI-ASSEMBLY, Version=0.0.0.0, Culture=neutral, PublicKeyToken=null; AssemblyQualifiedName = "FSI_0002+APoint, FSI-ASSEMBLY, Version=0.0.0.0, ... } Now, suppose you want to extend the APoint class with an additional member that stretches the point radius a given amount; it s natural to type the new definition of the class into the top level and evaluate it. F# Interactive doesn t complain about the redefinition of the type: type APoint(angle,radius) = member x.Angle = angle member x.Radius = radius member x.Stretch (k:double) = APoint(angle=x.Angle, radius=x.Radius + k) new() = APoint(angle=0.0, radius=0.0) Because you ve redefined the structure of APoint, you may be tempted to invoke the stretch method on it, but doing so results in an error: > p.Stretch(22.0);; p.Stretch(22.0);; --^^^^^^^^ stdin(2,2): error: FS0039: The field, constructor or member 'Stretch' is not defined. To understand what s happening, create a new instance p2 of the class APoint and ask for the type: > let p2 = APoint();; val p2 : APoint > p2.GetType();; val it : System.Type = FSI_0005+APoint {Assembly = FSI-ASSEMBLY, Version=0.0.0.0, Culture=neutral, PublicKeyToken=null; AssemblyQualifiedName = "FSI_0005+APoint, FSI-ASSEMBLY, Version=0.0.0.0, ... } As you can see, the name of p2 s type is FSI_0005+APoint, whereas p s type is FSI_0002+APoint. Under the hood, F# Interactive compiles types into different modules to ensure that types can be redefined; it also ensures that the most recent definition of a type is used. The older definitions are still available, and their instances aren t affected by the type redefinition.

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DHX gets around this by creating a transient secure channel Whitfield Diffie and Martin Hellman are considered by some to be pioneers of public-key cryptography They proposed the notion of public-key (also called asymmetric-key) cryptography, with the Diffie-Hellman key exchange protocol, in which two different but mathematically related keys are used: a public key and a private key A public key system is constructed so that calculation of the private key is computationally infeasible from knowledge of the public key, even though they are necessarily related Instead, both keys are generated secretly, as an interrelated pair In public-key cryptosystems, the public key may be freely distributed, while its paired private key must remain secret The public key is used for encryption, while the private or secret key is used for decryption..

Understanding the inner mechanisms of F# Interactive is useful when you use it to test F# programs, because interactive evaluation isn t always equivalent to running code compiled using the commandline compiler. On the other hand, the compiled nature of the system guarantees that the code executed by F# Interactive performs as well as compiled code.

The M7 is a multimedia player from Cydle. Think of it as a netbook without a keyboard, or a large-screen smartphone without the phone. It s a bit large to carry in your pocket, but at $199 it s priced very well to be a home or office digital photo frame that reminds you of appointments or allows you to check e-mail.

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