Earlier I had looked into Implicit Plots and found a way to do them which depended on whether they were connected or disconnected. Recently I found a way of determining the points that Sage is using to construct the plots. This eliminates the need for two cases BUT we have to take more care in plotting the graph. I've added information on plotting implicitly to the Plotting with Sagetex page. The key breakthrough was determining a way to determine the points that Sage used in plotting functions implicitly. Sage is using a grid of points, which I called gridDim. The gridDim is the number of points on each side of the side of the grid. Since the plot is going from x=-3 to x=3 and y=-3 to y=3 there are (250)x(250) points that will be turned "on" by Sage if they are on the curve and "off" if they are not on the curve.Since an implicit plot is solving the equation f(x,y)=0, in order to have it plotted by the computer I chose to consider the point on the curve if it was "close" by making sure

if abs(C1.xy_data_array[i][j])<.02:

The value .02 was chosen from my experiments with plotting; change to .01 and the plot thins out too much for my liking while .03 starts to thicken the plots too much. You can find a more in depth discussion as well as 2 sample templates to experiment with, on the Plotting with Sagetex page.

Here are some stories which caught my eye recently:

- LewRockwell.com hosts a piece on micoagressions.There is increasing pressure on college admin to think "correctly".From the article, "Early this year, the University of California’s president, Janet Napolitano, asked all deans and department chairs in the university’s ten campuses to undergo training in overcoming their “implicit biases” toward women and minorities. The department heads also needed training, according to the UC president, in how to avoid committingmicroaggressions, those acts of alleged racism that are invisible to the naked eye. A more insulting and mindless exercise would be hard to imagine. But Napolitano’s seminar possesses a larger significance: it demolishes any remaining hope that college administrators possess a firmer grip on reality than the narcissistic students over whom they preside."
- The New York Times has an excellent piece on "The Singular Mind of Terry Tao". Terry Tao is considered to be one of the top mathematicians alive today. From the article, "But it turned out that the work of real mathematicians bears little resemblance to the manipulations and memorization of the math student. Even those who experience great success through their college years may turn out not to have what it takes. The ancient art of mathematics, Tao has discovered, does not reward speed so much as patience, cunning and, perhaps most surprising of all, the sort of gift for collaboration and improvisation that characterizes the best jazz musicians. Tao now believes that his younger self, the prodigy who wowed the math world, wasn’t truly doing math at all. ‘‘It’s as if your only experience with music were practicing scales or learning music theory,’’ he said, looking into light pouring from his window. ‘‘I didn’t learn the deeper meaning of the subject until much later.’’
- Reason.com has another piece on the LA public school system's attempts to get a star teacher fired."Esquith, who teaches low-income and minority fifth graders, made a joke about the difficulty he was having raising enough funds for the yearly Shakespeare production, which he finances through donations to his non-profit. As I previously noted, “While reading a passage from
*Huckleberry Finn*in which ‘the king came prancing out on all fours, naked,’ Esquith remarked that if he couldn’t raise additional funds for his annual production, he supposed ‘the class would have to similarly perform naked.’” The joke was overheard by another teacher, who deemed it inappropriate and reported Esquith to the principal, Jonathan Paek....Paek made Esquith sign a humiliating letter of apology:...Esquith was suspended anyway, and now sits in one of the infamous “rubber rooms” while he waits for the district to decide his fate. Officials are doing their best to dig up dirt on him". - The FreeBeacon.com reports on "The federal government is spending $125,000 to study adjectives that could be perceived as sexist or racist.". A good use of taxpayer money?
- ConsortiumNews.com reports on "How 'Adjunct' Professors are Exploited". From the article, "According to data collected by the
*Chronicle of Higher Education*, adjuncts at one college and two universities near my home in Southeast Florida earn between $1,380 and $3,000 to teach a fifteen-week, three-credit course. My own university’s published rates range from $1,500 to $3,000. A national survey found the average pay for a three-credit course to be $2,700...Given that the typical equation for calculating preparation and grading time for a three-credit course is three hours for every one hour of class time, it’s safe to assume that adjuncts put in a good 135 hours during a semester. That works out to just over $10 an hour for someone making the lowest rate and about $22 an hour for the higher rate based on the rates listed above...A report from the University of California at Berkeley found that nearly a quarter of all adjunct professors receive some form of public assistance, like food stamps or Medicaid. Many must, as grown educated adults with advanced degrees, live with their families, and struggle to afford basic food requirements. One adjunct professor reported, “I lived off of fried potatoes and onions for the semester. I actually lived better as a grad student than I do now.”.."