The Application of Algebraic Topology ot Data Analysis

Some of the major technologies used in geography, have made both sorts of information far more readily available and far easier to use. Statistical analysis and modeling of spatial patterns have relied on computer technology.

Level 1 :As per the Considered Data Sets: (Generated nearby values through Rough Data Sets Theory  Produces)

Survey that the commence structure in (1) can be deciphered as section astute low-dimensional representation for each illustration; as needs be it can be speedily acclimated to fit our demand. Specifically, we settle (3) for the entire dataset, and utilize the start system W0 as the novel representation and support it into the data section module, with the subscript "0" demonstrating the entire dataset. It is critical that here we support using W0 over customary name change strategies, for instance, CPLST [32] for the going with reasons: 1) the proposed procedure does not rely on upon the certifiable stamp system Y as in the arrangement of CPLST, and 2) test relationship can be unequivocally introduced, which is proper for data distribute. Our approach makes no particular doubts on the choice of section counts, in this way unique procedures can be considered, including k-suggests gathering, area tricky hashing (LSH), and some flexible systems, for instance, Affinity Propagation batching or ISODATA , if satisfactory prior learning is available. In our execution, we use k-suggests gathering for its straightforwardness and

© The Authors JCSCR. (2012). A Comparative Study on the Performance. LACSC – Lebanese Association for Computational Sciences Registered under No. 957, 2011, Beirut, Lebanon, 1-12.

4. Analyzing geographic information: involves seeking patterns, relationships and connections, noting such things as similarities, trends and differences over space and time

In the data set, there is lack of redundancy of data given the orthogonal components and it enhances the efficiency on the processes that are taking place in the smaller dimension.

This PCA image is more informative as it has high variance. But principal component 5 contains more information than principal component 3.So this is not always true that high variance image always contains more spatial information than low variance image. To address this problem QMI is applied between class labels and PCA image so that we

The greatest changemakers, innovators, and visionaries have come from the margins. Tzara, Ghandi, and Martin Luther King Jr. are all examples of intelligent non-conformists unwilling accept the systems, instead choosing an atypical approach to challenging popular beliefs and doctrines. Whether it was through art, rhetoric or humility, this marginals observed the center as outsider. They could see the full story. They could understand the complexity of the center, its ability to draw in its prey, trapping it and eating it alive. Those embodying this space of marginality can see how the center is a black hole, if there is no escaping it while already within its depths, it must begin by those who have yet to become enticed by it. This is the job

The first painting depicts a young woman lying in a field on a farm in what appears to be an awkward position. She may be experiencing some type of internal or emotional pain which may have temporarily halted her ability to move. The field is very close to what one might assume is her home. The painting appears very somber and melancholy and I would hypothesize the young woman is longing for something she might have recently loss; possibly a relationship or significant material possession. The woman gazes towards the house as if she is waiting for something. The colors in the painting are very neutral and the feelings provoked are those of sadness. Another hypothesis could be she is pondering her life path and struggling to

Communities may be categorized as geopolitical (spatial) or phenomenological (communities of belonging) (Maurer & Smith, 2013). Geopolitical communities are formed by either natural or human-made boundaries. A river, a mountain range, or a valley may create a natural boundary; for example, the Chesapeake Bay separates Maryland into the eastern and western shores. Human-made boundaries may be structural, political, or legal. Streets, bridges, or railroad tracks may create structural boundaries.

Exploratory data analysis best describes this study. This study is trying to make a possible connection between mental illness and crime. The researchers are trying to find a possible answer to the question of “if there is a correlation between mental illness and crime.” Also, the study is being done to not predict what the outcome will be, but to actually find out the

First of all it is worth to take a look at any outliers that may affect a distribution of the data.

The word “Church” to a religious person has more meaning than just a building where people meet once a week. To a religious person the word “Church” means the body of Christ. The body of Christ is made up of every person’s personal strengths that work together to form the entire body to live out a purpose. Church’s operate on this manner; they do not see one another as superior necessarily, but rather everyone as equal and possessing their own strengths to create a fully operational team to glorify God. However, sometimes this system does not function correctly because of various issues such as a struggle for power, contrasting views and opinions, or lack of effort by people. We can apple the theory of functional analysis to the issues that arise in the Church.

Also, we evaluate the extent to which the samples and methods used are able to capture the random changes realized in the data obtained.

To analysis the collected qualitative data, the five steps for qualitative data analysis was applied: data immersion, data coding, data reduction, data display, and interpretation (Lui 2014).