This Professional Certificate does not require any prior programming or statistical skills, and is suitable for learners with or without college degrees. All you need to get started is basic computer literacy, high school math, comfort working with numbers, willingness to learn, and a desire to enrich your profile with valuable skills.
Basically the Radon transform is good at finding straight lines in an image. One method for finding , called the filtered back projection algorithm, works (roughly) by assuming that the original image is made up of straight lines and drawing those corresponding to the high values of . This method is fast but not particularly accurate. However, it is possible to find accurately and quickly, and algorithms to do this are implemented in the scanning devices. The original development of such devices uses a mathematical object known as Fourier transform to invert Radon transforms. If you're up for some serious maths, read the section on how this is done. Most of the maths here isuniversity level, but the section contains some lovely mathematical ideas.
I really liked the article. I'm trying to learn more about the fundamentals of this kind of equipment after medical school. The image at the beginning is a sagittal T1 weighted MRI (rather than a CT that is gathered axially). You can tell because the fat is high signal and bone is low whereas CT would have bright bone and less contrast within the brain.
According to sociologist Burton Clark, Reed is one of the most unusual institutions of higher learning in the United States, featuring a traditional liberal arts and natural sciences curriculum. It requires freshmen to take Humanities 110, an intensive introduction to multidisciplinary inquiry, covering ancient Greece and Rome, the Hebrew Bible and ancient Jewish history, and as of 2019, Ancient Mesoamerica and the Harlem Renaissance. Reed also has a TRIGA research reactor on campus, making it the only school in the United States to have a nuclear reactor operated primarily by undergraduates. Reed also requires all students to complete a thesis (a two-semester-long research project conducted under the guidance of professors) during the senior year as a prerequisite of graduation. Upon completion of the senior thesis, students must also pass an oral defense of ninety minutes related to the thesis topic and how the thesis relates to the larger context of the student's studies.
Although letter grades are given to students, grades are de-emphasized at Reed and focus is placed on a narrative evaluation. According to the school, "a conventional letter grade for each course is recorded for every student, but the registrar's office does not distribute grades to students, provided that work continues at satisfactory (C or higher) levels. Unsatisfactory grades are reported directly to the student and the student's adviser. Papers and exams are generally returned to students with lengthy comments but without grades affixed." Students can request copies of their official transcript from the registrar. There is no dean's list or honor roll per se, but students who maintain a GPA of 3.5 or above for an academic year receive academic commendations at the end of the spring semester which are noted on their transcripts. Many Reed students graduate without knowing their cumulative GPA or their grades in individual classes. Reed is singled out as having little to no grade inflation over the years; only ten students graduated with a perfect 4.0 GPA in the period from 1983 to 2012. (Transcripts are accompanied by a card contextualizing Reed's grading approach so as not to penalize students' graduate school applications.) Although Reed does not award Latin honors to graduates, it confers several awards for academic achievement at commencement, including naming students to Phi Beta Kappa.
An episode of Malcolm Gladwell's podcast Revisionist History examines the flaws in the U.S. News system of university rankings. The episode features a project done by a Reed professor of statistics and her students to investigate the mechanics of the ranking algorithm, attempting to see if Reed's ranking had been purposefully devalued because the school refused to submit its information to U.S. News. Previous investigations by Reed students to re-create U.S. News's statistical ranking algorithm found that Reed's correct 2019 rank was #38 instead of its assigned rank of #90. 2b1af7f3a8