Xittenn

If the condition were to change during the loop should it break or continue until the next iteration? What consequence would either of these choices have? If the condition is invariant under the iteration then these choices can be avoided and the consequences as well. It is an abstract concept and not something one would concern themselves with much while creating functional programs.

Using analysis I would like to decompose an image and identify individual smooth manifolds. If I can describe a portion of a geometric figure as a group that is a smooth manifold then I can create a set where each elements value is a group that represents a given smooth manifold. I could then use the set and an algorithm or set of algorithms that essentially establishes a graph of a relation on the set. Then another algorithm could be established that walks the graph as a matrix and identifies the object that is being viewed. Something like that yes. I guess, looking over what constitutes an Lie Group, it is sufficient to restrict any future statements to [math] E_n® [/math]. Which ajb mentioned!

Actually it's pretty understandable though it is still ahead of me! I don't understand why you both state that it might not be relevant but it is something I have kept in mind that maybe I just don't understand it well enough to see exactly why this is, this was kind of why I asked. I guess I figured if I could assemble a graph of a relation that embedded such supporting mathematics I could walk on sets of geometries in the form of groups, thereby enabling the representation of complex geometric figures as sets of simpler manifold identities. :/ I'll get there soon enough!

An Introduction to Neural Networks By James A. Anderson I read this book in High School, it says a lot about what it is that you might wish to achieve inside of a model. It's not a book specifically on Machine Learning, I had picked it up to learn about neural networks and to gain insight into fuzzy systems. I'm sure there are books that better describe the process of learning from a programmatic point of view, like doing lazy walks on graphs as matrices and so on. This does sort of sketch out the foundation of what the representation is trying to achieve! Maybe?

What? You can't see?

There are plenty of others with Math degrees that are putting out platforms so that individuals like yourself can do work without such knowledge. I think the answer to this question greatly depends on what it is specifically you hope to accomplish. I would recommend that if there is a specific application that you wish to develop that you might simply learn how to use the Matlab Machine Learning Tools or possibly learn Haskell and try out some of the developed libraries; maybe even learn to wrap Haskell into Matlab. I have no degree but I am looking to go to UBC for a degree in Bio. I have decided that for me the best way is to maintain a thorough study in mathematics and computer sciences and then apply my knowledge in mimetics. Rigor for me will mean that I will have the capability of designing a system from root where all the technologies will be specialized to my specification. It is really pendent on what you hope to accomplish and who is paying the bill. If you are in a lab setting then you are most likely restricted by a finite amount of time and financial resources. What does your employer hope that you accomplish? It can't hurt to play super genius if you have the time and desire! There is no specific literature, as you have defined, that I have seen or can recommend on this topic and it is something I have been into for a very long time!

My apologies I guess I took the following the wrong way! Well for starters C#, PowerShell is more so geared towards .NET, but the knowledge of COM is essential(wouldn't dwell). You are going to want to look at the Windows Services to start and learning what takes care of what. Then crunch on the .NET Framework: Runtime Component Model IO Networking Security You will most definitely need to be familiar with XML, SOAP, AJAX etc.. Then hit the cloud I'm sure you will absorb it all like a sponge once you get going. I can't really say much beyond this unless you state specifics. I have spent most of my time in COM and I think most of the guys here are more in tune with Linux systems so it might be a bit difficult to get opinions or guidance. Enjoy!

Yes, I mean more so geometric figure here. I would like to take the gradients created by shadows and use these gradients to define geometric shapes and utilize this data in analysis. Thank you for pointing out the 'Killing Vector,' at first glance I thought you were saying to kill vectors. I guess I would be looking for specific groups under analysis incorporating 'Killing Vectors' and by process of elimination. I'm sure more will be understood by me as I approach nearer my goals.

How would I use Lie Algebras, observing infinitesimal transformations over a smooth manifold(non-complex Lie Group,) to gain insight into the geometric properties of some shape? What thoughts could I be observing when looking into the mathematics that this involves? I had looked at the concept of Lie Groups a number of years ago but abandoned it completely as it made no sense when I had. Just looking at the Wiki, most of it is pretty plain English now but Wiki leaves much to be said about proper application. I am beginning a study on topology and will be returning to group theory after I complete this study. I would like to have my thoughts in my mind focused on Lie Algebras and their practical application to the observation of shapes as I go through the material. Am I off in how I have established my preconceived ideas of what is going to develop through these concepts? I wish to do work in the areas of spacial and shape recognition and analysis, machine vision.

I hadn't been a regular coffee drinker for many years, I would simply drink coffee if there was a luncheon or something that had some. I started to drink Starbucks Americanos during a stint in film school, I would get a Venti and woah. I started drinking coffee regularly before work everyday but it took me a long time to get over the panic attacks it induced. I don't think there are many who will say this but for me on occasions I felt as though I might die; serial. I had always noticed that if I had had a coffee a few days in a row and then I didn't have one I would get a pretty serious migraine. Now that I drink the stuff daily and in the near quantity of a litre and have stopped having the panic attacks and such, I have most definitely noticed my addiction. I quit smoking cigarettes many years ago and the withdrawal is in no way the same, but the most noticeable thing for me is the face splitting headache. I regularly get these headaches regardless, if I don't sleep right or if I am sick or whatever, but it never fails if I don't have my coffee by noon I am in some serious pain.

.exe : This is an executable file for an application that you install on your computer. This contains some or all of the code necessary to have a running application like a game. .dll : The Dynamic Link Library is a module defined under Windows(there is a different equivalent to this under Linux.) DLLs are similar in nature to executables in that they encapsulate the code necessary to accomplish tasks. DLLs are where 'Server' code is defined where when we speak of servers we are speaking of a module that defines a means of accomplishing a task. An example of this could be a rendering pipeline for 3D graphics. A software application could call a DLL that encapsulates rendering code and create an instance of a rendering object. Assembly : Assemblies are .NETs means of defining modules(DLLs) COM : Component Object Model is a framework. .NET : Is a framework developed for high level languages(managed) specifically. ABI : An Abstract Binary Interface is the code that exposes the internal code of a DLL(or other) to the external world. COM Interface : COM uses COM Interfaces to expose the code that is internal to a DLL to the external world; and by external we mean anything that is not the specified module. An interface defines a set of methods, these methods allow communication between client and server and are representative of sets of actions. example: Interface IRender3D { LoadBuffer( VertexPoints in ); Render(); } .NET Interface : The .NET framework defines an equivalent type of interface to that of COM Registry : The registry is where information about modules, servers and so on exists on any given computer and this allows the COM framework to do things like load a module transparently(without the exact location) based on IDs. GAC : Global Assembly Cache is .NETs registry and is how .NET organizes interconnectivity on your computer Class Object : Class Objects are factories that when a given module is in its running state the Class Object will instance objects like a renderer and passes the object to a client. Objects : Objects are created by the Class Object of a COM Object. The way that an object is passed in COM is by passing a COM or .NET Interface. So taking the before mentioned example the interface IRender3D will be passed to the client and the client can then load a buffer with a set of vertices and subsequently render an image. Process : Executables when running are run on a process thread on your computer. Every running application runs in its own process. Modules(DLLs) are loaded into the process via COM based commands. IPC: Inter Process Communication is the means by which communication takes place between processes. This extends to across networks. Many types of data cannot be transmitted between the boundaries that are created on a computer and so these types of data need to be transformed into data that is transmittable. Marshaling : The act of transforming data from a non-transmittable type to a more transmittable type for the purpose of transmission across boundaries. Other terms you should know for the area you will be working in: Database, MySQL, ActiveX, OLE, Structured Storage, Property Pages, ASP.NET, Cloud, Silverlight .... I will probably edit in a few more after :/ This is a lot to learn period

I've seen instances of Michels point 1 where it worked in favour of learning. In my example atoms were dismissed in the discourse of the discussion on sets and so too were people being that they were representative of such structures. Now often when the author would cite an example of a given proposition he would then incorporate people and make note of his doing so. He did it in a rather comical fashion and it served to contrast the achieved solidification of thought by incorporating the atoms with the generalization that is set theory. I'm really not sure why this was so important to the author other than to serve as a means of engrossing the reader in the material by making it feel more real. This was kind of weird because it always felt like it served a more fundamental purpose in the pursuit of knowledge. Imagery is everything but as seen in the thread spin this can break down pretty quickly if there is no imagery to be had. I haven't a clue what is normal in terms of popular anything, at best I have read a couple of Scientific American issues and have watched some episodes of Discoveries Daily Planet. I do find it easier to follow a pretty picture, but more often than not I find that in doing so I miss the much more complex reality, and if it is this reality that is what is important it may not always serve the purpose. I suck at developing images of a concepts for others and this frustrates me. I don't envy you! Funny gets you points ....

I am of the opinion that these are misguided observations of what PowerShell and Servers truly are. To begin with PowerShell is a scripting language that operates on COM and .NET objects and is not a technology defined in its entirety for use across a network. Also a 'Server' is not always by definition a 'Networked Technology.' I think the first thing you would be required to understand is what PowerShell is acting upon and this is COM and .NET Objects. Now although COM chimes well with .com they are in no means the same thing and this follows into .NET. COM and .NET are frameworks and specifications that allow for different languages to develop 'Objects' that can intercommunicate as well as they provide a structure under which the internals of such objects can be formed in a generalized yet common manner. .NET extends this further in that it also provides, as part of its framework, sets of libraries that accomplish many tasks such as GUI Development, 2D/3D Animation and Mail etc. A 'Server' as defined by these two technologies is any 'Object' that is 'Modular' and that fulfills services for a 'Client.' Many services are provided by the Windows Operating System but a server can be any module that accomplishes some task at the request of another module and are often integral pieces of technology packaged with installed software applications. One thing both libraries accomplish is the task of remoting and this is where networks, internet and so on come into play. A 'Server' that acts as a liaison or that provides remoted procedures or access to remoted resources accomplishes its task, under the Windows OS and more often than not, through the use of the COM and .NET technologies. This means that to accomplish its tasks a server will implement a standardized infrastructure to allow clients a common method of remoting communication. There are a number of means by which remoting takes place and this includes but is not exclusive to RPC and Pipes and so on. Remoting is a process that is more generalized as Inter Process Communication(IPC) and is something that the two technologies also accomplish on the same computer as processes are not capable of communicating directly. PowerShell is a scripting language that operates on top of the COM and .NET technologies and allows programmers and administrators an easy solution to instancing and manipulating objects and servers whether it be on the same computer or across a network and whether it be on Windows 7 or Windows Server 2008 R2. This allows for a broad range of solutions to a broad range of problems that these two professionals face in their duties. PowerShell can increase productivity by easing the programming required to accomplish debugging tasks and can also be used as a means of scripting a set of events that must transpire with very broad applications. For Administrators PowerShell can also aid in the debugging of systems as well as gives the Administrator ease of functionality in scripting system wide events and also as well as a broad number of other applications. There is a fair bit to say about all of this and I hope I accurately stated everything that I have. There is a lot to learn. Knowing the precise nature of the job it is you will be developing the experience in would be very helpful. Research within the areas that you require the immediate knowledge in will most definitely depend on the tasks you will be expected to accomplish and I don't believe it is sufficient enough to say I will be working with networked servers.

You are the man Cap'n

Thank you Cap'n ummm, it changed and then it reverted ... yay, back \o/ nope no it isn't it is good, lol

Oh me too!

I'm still with you Mr. Pops! I will start by defining Tau #define HV3DTAU (2*HV3DPI) and monitor for fail, I mean success.

Yeah if you didn't get this in perfmon and there are 0 driver conflicts it would be really hard to help you, for me at least, from over ip.

So you had 0 fails in 'Hardware Device and Driver Checks'? Try to check task manager for hplamp.exe, end task and try a scan ...

1) Go into devices and under the view menu click show hidden, check for multiple devices being registered for the same scanner. 2) START | type perfmon /report - a viewer will appear | Save as an HTML file, if you don't mind posting the report do ...

Please don't kill Kenny :/ [edit] later that day [edit] This is like peer pressure, I'll do it

Trigonometry derives from circles but finds most of its applications in triangles derived within the concept. I think that changing to Tau, not only being a massive undertaking in the challenge of rewriting all that we know, would have consequences on the maths that we take for granted already. I think these arguments are being presented without regard to the potential implications if the reverse were true. I haven't really reflected on what these implications would be so I could very well be speculating. The most immediate thing that I can think of is when calculating given standard angles. Pi/12 is not as happy a number as Pi/6. The effects on positive and negative swings and how readily this is perceived when Pi is given in terms of diameter and being a half of a circle in terms of radii. A full bridge rectification would then have to be Tau/2 cycles, oh my. I'm sure there are really good reasons for having chosen Pi over Tau as this is the first question that comes to mind when Pi is presented, why Pi not Tau? With the depth of Mathematics that has been achieved it would be kind of bemusing if such an oversight has actually taken place. I really like the video though! Surface area equation would suck in terms of Tau ... I'm slow forgive me :|

I had already mentioned my love for Portishead and Eclectic Jazz styles but there is one thing that upsets me rather often about compositions in this category and that is unlike Dubstep the songs do not go on forever. Like the song Portishead - The Rip(not really a jazzy Portishead song eg. Pedestal) why does it end? The answer should not be three, no

I don't think it is so much that there are defined negative radii from the centrally located zero point but that the negation of r in a spherical coordinate literally means r in the opposite direction. It is simply more convenient than doing math on a rotation that has been incremented by 180 degrees. When is this appropriate? In almost any application where spherical coordinates itself is appropriate?

I believe I did just give an example above. You are inquiring about the identity [math] \sum_{d \mid n} \phi(d) = n [/math]. This identity states that given a positive integer n one can find the divisors(d) of n such that [math] d \mid n [/math]. You can then add together the totients of each of the divisors(d) and the sum of this will be the n for which the divisors were originally found. This identity is a consequence of the Möbius inversion formula. How I came to the the statement "the sum of totients is n" is by the definition of the mathematical symbols you have presented where [math] \phi(d) [/math] is the totient function acting on each d that [math] \sum_{d \mid n} [/math] is the sum of and where n is equal to. I'm having difficulty seeing what it is you are seeking, I'm sorry.