Well, it seems that this blog has been only updated when I am getting things ready for a new semester of school; but daily events are not always the sum or product of their parts.
So, since the last post here's what has been happening:
Spring 2009 semester we won the best project for CMPEN 352W Embedded Systems.
Summer 2009 I worked on several projects for the Penn State Behrend Educational outreach program with funding from Women in Engineering. These projects are to stimulate K-12 students, with target audiences of middle school girls to line them on the academic path for the sciences and engineering fields.
September 2009 development of software for the ACM UIST Conference at Victoria, BC; specifically we are working on a user interface by implementing Microsoft's prototype touch sensitive keyboard in the Student Innovation Contest. The event is October 4-7, 2009.
Saturday, August 22, 2009
Thursday, January 15, 2009
Spring 2009 Semester
It has been a wile since a new post. But, I have been attentive to school; and since the break is over once again, back to school again.
During this break I did not get much work completed. I played Tetris for hours, which, may be considered work, but not constructive work. On my arrival to Erie, I continued to play Tetris on my Dreamcast; and then would spend 20 min to 1 hour a day working. This is not enough time and focus to get much work done. But I again read sections from a discrete and combinatorical mathematics handbook; this strenghted my views on the topic. And, thus far, I have developed the following.
* The continued basis containing the axioms
* A translation from predicate statements to the propositional logic
* The generation of combinatorial space oracles in deterministic bounded time
* And, the relationship between the $\forall x \in L P(x) \rightarrow \bigwedge_{x\in L}^n \exists P(x)$. This allows for the predicate $\forall$ to be removed from the basis and replaced with the existential predicate as a propositional form. The notation $P(x)$ can be removed, and is done with the operation of independent negation from the previous axiom definitions. This is omitted for clarity.
The final bullet can be applied as the combinatorial space itself, or more likely a subset of the combinatorical space as a constraint on the system.
Much still needs to be done in the formalization of this system but must be set aside for the sake of the current semester.
During this break I did not get much work completed. I played Tetris for hours, which, may be considered work, but not constructive work. On my arrival to Erie, I continued to play Tetris on my Dreamcast; and then would spend 20 min to 1 hour a day working. This is not enough time and focus to get much work done. But I again read sections from a discrete and combinatorical mathematics handbook; this strenghted my views on the topic. And, thus far, I have developed the following.
* The continued basis containing the axioms
* A translation from predicate statements to the propositional logic
* The generation of combinatorial space oracles in deterministic bounded time
* And, the relationship between the $\forall x \in L P(x) \rightarrow \bigwedge_{x\in L}^n \exists P(x)$. This allows for the predicate $\forall$ to be removed from the basis and replaced with the existential predicate as a propositional form. The notation $P(x)$ can be removed, and is done with the operation of independent negation from the previous axiom definitions. This is omitted for clarity.
The final bullet can be applied as the combinatorial space itself, or more likely a subset of the combinatorical space as a constraint on the system.
Much still needs to be done in the formalization of this system but must be set aside for the sake of the current semester.
Friday, September 5, 2008
The existential predicate and the acquisition of information.
You are reading this; or you may be looking outside, listening to your music, or doing any other activity as we can go on for hours and days... But, you are processing the events of the moment. This is the simple activity that we are interested in on today's post.
As we learn new information from our various senses, information is never forgotten (perhaps misplaced), that information is stored in a non-volatile memory location in our CNS. This process, continues throughout the span of our lives. It is not the memory that we are concerned with however, rather we must be interested in what it is that our CNS does with the information gathered.
Consider each synaptic moment to be a write and read cycle, thought will not differentiate itself, for if thought were to then no new thoughts would ever exist, and we would be limited to a distinct potential set by only our input. Thought does, on the contrary, allow us to consider implications of situations or possibility's that would be absurd in the known realm of the universe that we operate. Hence, there is no bound on the imagination.
Although this may be precisely that same story that our mind told us that can be true. It is not, and the following will help convince you that it may not be.
Suppose that each synaptic moment we gather a well defined set of information, this may be restricted to our senses for a human, but beyond that we can think of other sensor's which may capture events in a situation. This array of information must be immediately stored in acted upon with those other past information that was collected. To do this, we must apply combinatorics so that every possibility of the situation may be represented. Note: this is purely a conservative case supplying the ideal situation, in a mind one may need to ponder an idea to generate the same effect.
Thus, with this operation acting on every object of our input array, we build a stronger complete view of that same input data set. And, from this we can then see the possibilitilities for a given situation (SAT).
We will continue, and I will continue to unleash this journey. Although, at the moment this is much of the writing that I get done. I am using the majority of my time to focus on school work and cannot diverge far from the topics...
As we learn new information from our various senses, information is never forgotten (perhaps misplaced), that information is stored in a non-volatile memory location in our CNS. This process, continues throughout the span of our lives. It is not the memory that we are concerned with however, rather we must be interested in what it is that our CNS does with the information gathered.
Consider each synaptic moment to be a write and read cycle, thought will not differentiate itself, for if thought were to then no new thoughts would ever exist, and we would be limited to a distinct potential set by only our input. Thought does, on the contrary, allow us to consider implications of situations or possibility's that would be absurd in the known realm of the universe that we operate. Hence, there is no bound on the imagination.
Although this may be precisely that same story that our mind told us that can be true. It is not, and the following will help convince you that it may not be.
Suppose that each synaptic moment we gather a well defined set of information, this may be restricted to our senses for a human, but beyond that we can think of other sensor's which may capture events in a situation. This array of information must be immediately stored in acted upon with those other past information that was collected. To do this, we must apply combinatorics so that every possibility of the situation may be represented. Note: this is purely a conservative case supplying the ideal situation, in a mind one may need to ponder an idea to generate the same effect.
Thus, with this operation acting on every object of our input array, we build a stronger complete view of that same input data set. And, from this we can then see the possibilitilities for a given situation (SAT).
We will continue, and I will continue to unleash this journey. Although, at the moment this is much of the writing that I get done. I am using the majority of my time to focus on school work and cannot diverge far from the topics...
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