20 Mar Mathematical concepts in fingerprint scanners
Your paper should address the following points. These bullets may be used as section headings in your paper, but are not required to be.
Introduction: Give a brief background/history of the technology. What is the technology? Why is it interesting? How is it used and who uses it, etc.? How does the technology compare to previous technologies that served a similar purpose?
- How It Works: Give a high-level description of how the technology works. Of course, you are not expected to understand or discuss all details of the technology.
- Problem Statement: Give, as clearly as possible, a description of a role mathematics has in the technology. Try to formulate it as a precise problem statement or question. For example, in our discussion of GPS, we formulated the precise problem of determining the number of satellites needed to identify your location.
- Math Concept(s): What math concept(s) can be/are used to address your problem statement? You do not necessarily need to solve the problem statement; but you should discuss how these math concept(s) work toward solving it. You are encouraged to illustrate each math concept with a small example.
Make sure your math concept is not a physics or engineering concept (for example) in disguise, and is discussed at a level suitable for AMS 103 (e.g., familiarity with calculus cannot be assumed). Math concepts include geometry, statistics, number theory, coordinate systems, optimization prob- lems, information theory, inverse problems, algorithmic analysis, graph theory, integrals, differential equations, and many others. Arithmetic and an equation are too trivial of math concepts for this assignment. - Future: Speculate about the future of the technology, if it seems appropriate. How might it develop or improve? In your opinion, will it still be relevant in 50 years?
- References: List your sources! These are likely to be webpages, but may not be. Wikipedia is not a trusted source and should not be cited. Instead, verify the information on Wikipedia in other sources and cite them. At least three or four sources should be cited.
- – You should use MLA or APA formats for your references (your choice, but only pick one).
- – Make sure to include the title, URL, date accessed, and author (if known) for each webpage.
- – Referenced works must be written in English (implying that videos are unsuitable).
- – You should have in-text citations to your works cited list throughout your paper to indicate the specific source of a statement in your discussion.
- – Every resource in the works cited list should be referenced at least once in the text.
You should target the text of your paper to be between 3 and 4 pages in length (double-spaced, 12pt Times New Roman font, 1” margins). The “text” does not include headers, titles, images, or references, etc. The absolute minimum is 2.5 full pages of text. The text may extend onto a fifth page—especially if you use figures or illustrations—but should not go onto a sixth page.
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