Theoretical Models for Understanding Behavior Matrix
Tara Brigle
Grand Canyon University: Classroom Management for Students with Special Needs March 6, 2012

Comparing, Contrasting, Identifying, and Listing Major Components of the Theories |Biological Model |Very important in the medical profession | | |Puts emphasis on pathogens as the explanation for the disease | | |Does not pain the whole picture of the person | | |Looks at the behavior in an organic standpoint | |Developmental Model |Stresses that a child must adapt to the environment | | |The use of this model is seen through widespread use of developmental | | |appropriate practices | | |Limitation of this model is understanding children with disabilities | | |It fails to inform about how to adapt the child with this model | |Psychodynamic Model |Emphasis on unconscious processing and underlying motives to the | | |behavior | | |Impossible to observe and measure the internal thoughts and feelings | | |of a person | |Ecological Model |Focuses on the relationships between and within levels of the | | |environment | | |Based on the environment and how the child interacts within it | | |Involves the child, family, and community | |Behavioral Model |Behavior is viewed from the functional perspective and is measured and| | |observed | | |It’s an early foundation for ABA | | |Not used very often by teachers | |Social Learning |Emphasis on modeling and imitation of models | | |Imitation of models is very important in learning | | |People learn from their environment and models within the environment | | |influences the person | |Applied Behavior Analysis (ABA) |Focuses on measurable and...

...In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.[1][2] The individual items in a matrix are called its elements or entries. An example of a matrix with 2 rows and 3 columns is
Matrices of the same size can be added or subtracted element by element. But the rule for matrix multiplication is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second. A major application of matrices is to represent linear transformations, that is, generalizations of linear functions such as f(x) = 4x. For example, the rotation of vectors in three dimensional space is a linear transformation. If R is a rotation matrix and v is a column vector (a matrix with only one column) describing the position of a point in space, the product Rv is a column vector describing the position of that point after a rotation. The product of two matrices is a matrix that represents the composition of two linear transformations. Another application of matrices is in the solution of a system of linear equations. If the matrix is square, it is possible to deduce some of its properties by computing its determinant. For example, a square matrix has an inverse if and only if its determinant is not zero. Eigenvalues and eigenvectors provide insight...

...
After obtaining knowledge from the Matrix, Plato's Allegory of the Cave or The Republic and the first Mediation from Descartes, I see that there are a few likenesses and contrasts. I would need to say that The Matrix and Plato's hole purposeful tale were more comparable because the individuals included in both stories, they existed in this present reality where they were being cheated about what the fact of the matter was. In the Matrix, once Neo saw this present reality and that all that he thought was true was really a hallucination, is very much alike to the shadows on the dividers of the surrender that the prisoners saw in Plato's Allegory of the hole. In both stories, both characters could encounter reality as well as the phony world and was given opportunity to see reality and were confounded. Nonetheless, the detainee in Plato's story in the wake of picking up this new information let others in servitude know of his recently discovered learning however felt that the first truth was less demanding to with the exception to. Then again Neo in The Matrix chose he needed to realize what the right truth was. Both characters were intrigued by figure out reality however they recognized reality in an unexpected way. Plato thought it was fundamental for the affixed man in the Allegory of the Cave required to escape from the hole to look for reality. Socrates portrays a gathering of individuals who have lived...

...Postmodernism in The Matrix
Postmodern writing evolved around WWII in response to Modernism that dominated the 19th c. The two writing styles share many characteristics, but the defeated modernist wallows in his realizations whereas the postmodernist offers a light or hope in conclusion. There is still a sense of foreboding for the postmodernist concerning science and technology. However, they are able to forge past their distrust, accept it as a logical progression, and begin to embrace some elements of advancement. Postmodernists have also lost faith in transcendence and spirituality, but to counter this loss they search and find hope in mystical forces or worldly treasures. Objective reality doesn’t exist for them either, but this is offset by acceptance. Postmodern thinkers are resigned to the fact that not all people will see things the same way. Postmodernists feeling of deception posed by our cultural belief system is coupled with a commitment to understanding the lie, its origin, and believing this effort will lead us closer to the truth. There is also a strong commitment and faith in eventual political change within postmodern thought. Evidence of these postmodern characteristics is overwhelming in the contemporary science fiction film trilogy The Matrix.
Uncovering an example of loss of faith in cultural belief system is evident within the first hour of the series. The lead character Neo feels that something isn’t quite...

...
Plato, Descartes, and The Matrix
Anthony Albizu
Phil 201
Liberty University
Coming to the realization that your entire life is all an illusion would be frightening, painful, and hard to believe. This is the main concept of the movie, The Matrix. The main character, Neo, is told that the world he has been living in is nothing more than a simulation controlled by a computer program. After being told this information, Neo, being apprehensive at first, has to then decide what he will do; accept it and help expose it or dismiss it and go on living an illusion. One can’t help but notice the similarities between the story of The Matrix and the classic writings of ancient philosophers Rene Descartes and Plato.
Plato’s writing “The Allegory of the Cave” has undeniable similarities to the ideas of The Matrix. The prisoners of the cave in Plato’s writing live in seclusion their whole lives and are not permitted to see anything other than the shadows on the cave wall. The shadows on the wall are what the prisoners perceive as their reality. Likewise, in The Matrix the world is being controlled by a computer program and the world they perceive as real is whatever the computer gives them. Therefore, the people living in The Matrix are prisoners of their version of the “cave”. Another comparison between “Allegory of the Cave” and The Matrix is the idea of what...

.../*
Arduino 56x8 scrolling LED Matrix
Scrolls any message on up to seven (or more?) 8x8 LED matrices.
Adjust the bitmap array below to however many matrices you want to use.
You can start with as few as two.
The circuit:
* 1 8-bit shift register (SN74HC595) to drive the rows of all displays.
* N power 8-bit shift registers (TPIC6C595) to drive the columns (1 chip per display)
* N 8x8 LED matrix display (rows=Anodes, cold=cathodes)
* N * 8 470ohm resistors, one for each column of each display
* 1 10K resistor
* A big breadboard, or several small ones
* Lots and lots of wires. AT LEAST 16 wires for each display.
* If you plan on driving more than 8 displays, you should add 8 transistors to drive the rows because
potentially you would be lighting up the whole row at one time (56 LEDs at once in my case, 8*n in your case)
Wiring tips:
* Key to success is to put the chips on the left and/or right of the matrix rather than above or below.
This would allow you to run wires above and below the matrix without covering any of them.
* I used several power bus breadboard strips above and below the matrix so all row wires never has to cross the matrix.
* Wire up each matrix one at a time, turning on the Ardunio to verify your work before proceeding to the next matrix.
Correcting your work after you have 32 wires over it is very difficult.
*...

...above, we see that: 5000(0.3) + 10, 000(0.8) = The number of people who don’t ride the bus next year. = b2 This system of equations is equivalent to the matrix equation: M x = b where 0.7 0.2 0.3 0.8 5000 10, 000 b1 b2
M= 5500
,x =
and b =
. For computing the result after 2 years, we just use the same matrix M , however we use b 9500 in place of x. Thus the distribution after 2 years is M b = M 2 x. In fact, after n years, the distribution is given by M n x. The forgoing example is an example of a Markov process. Now for some formal deﬁnitions: Deﬁnition 1. A stochastic process is a sequence of events in which the outcome at any stage depends on some probability. Deﬁnition 2. A Markov process is a stochastic process with the following properties: (a.) The number of possible outcomes or states is ﬁnite. (b.) The outcome at any stage depends only on the outcome of the previous stage. (c.) The probabilities are constant over time. If x0 is a vector which represents the initial state of a system, then there is a matrix M such that the state of the system after one iteration is given by the vector M x0 . Thus we get a chain of state vectors: x0 , M x0 , M 2 x0 , . . . where the state of the system after n iterations is given by M n x0 . Such a chain is called a Markov chain and the matrix M is called a transition matrix. The state vectors can be of one of two types: an absolute vector or a...

...twentieth century as a major aid in the future.
The idea of machines compelling power to control or destroy humans can be seen depicted throughout history in sci-fi movies. In the particular movie entitled, The Matrix, directed and written by brothers Laurence and Andrew Wachowski in 1999. This film shows a new form of technology, not only in through the plot but also its special affects and symbols. The upcoming millennium also marked a perfect time to release such a complex film for the public viewing pleasures. The Matrix takes place nearly century ahead in the future. The human race is nothing, but virtual slaves controlled by a race of intelligent machines. The background to movie revolves around the first creation of artificial intelligence and its evolution. When first created in the early twentieth first century, the machines raised an army of intelligent self-aware mechanized beings. Machines won the fight for the earth and they then used human energy and solar energy as their major supply source. Due to humans attempting to deplete solar energy and win back earth. The machines compensated for the battle by using the human race as a source of bioelectric power. The advanced technology of the machines then placed humans in the replicated world known as the "matrix". This computer-generated dream world is a replication of mother earth. It was designed by the machines to keep humans sedated and unaware of outcome of the...

...eigenvalues of a matrix
The eigenvectors of a square matrix are the non-zero vectors which, after being multiplied by the matrix, remain proportional to the original vector, i.e. any vector that satisfies the equation:
where is the matrix in question, is the eigenvector and is the associated eigenvalue.
As will become clear later on, eigenvectors are not unique in the sense that any eigenvector can be multiplied by a constant to form another eigenvector. For each eigenvector there is only one associated eigenvalue, however.
If you consider a matrix as a stretching, shearing or reflection transformation of the plane, you can see that the eigenvalues are the lines passing through the origin that are left unchanged by the transformation1.
Note that square matrices of any size, not just matrices, can have eigenvectors and eigenvalues.
In order to find the eigenvectors of a matrix we must start by finding the eigenvalues. To do this we take everything over to the LHS of the equation:
then we pull the vector outside of a set of brackets:
The only way this can be solved is if does not have an inverse2, therefore we find values of such that the determinant of is zero:
Once we have a set of eigenvalues we can substitute them back into the original equation to find the eigenvectors. As always, the procedure becomes clearer when we try some...