Retired math teacher from Walt Whitman High School in Bethesda, MD; knitter, swimmer, widow of Stephen and mother of Jonathan and Jake. Grandmother too
@SamLawrence08 @pearson Turns out that the validation is even more interesting than I thought in that the (x-1) and the (y+3) are the generalized run and rise for any radius for that circle, so when any point on the circle is substituted for the "other" (x-1) and (y+3) they give the tangent equation
@SamLawrence08 @pearson It is valid and always works. The basis has to do with a clever observation about the form of a line that is perpendicular to a given line. The tweet space is too short to explain fully though. Contact me directly if you want a thorough proof
@brooke Keep up the good work. No, you are NOT 80, but I hope you will live to be that and more! What is the puppy you weren't going to get's name? And I hope you received (way back when) the scarf I sent to match your tie-dyed sweatsuit!
Brilliant exercises for developing intuition about divergence and curl, from Purcell’s book on electricity and magnetism. “Four of these vector fields have zero divergence in the region shown. Three have zero curl. Can you spot them?” (I’ll show solutions lower in the thread.)
Trump shouldn’t make fun of @JoeBiden and his drive-in rallies. At least his supporters have a way to get home afterward and don’t have to wait in the freezing weather for buses that don’t show up
@brooke That's a bit too extreme for me. I think I might just have to settle for being able to turn the television OFF (but I am probably too obsessive to be able to actually do that). Hope the surgery goes well.
@brooke@PCMNewsletter I somehow missed the part about your needing heart surgery. Sending good vibes, wishes, and prayers your way and looking forward to your speedy recovery and return.
@brooke Someone told me to use hair spray for bugs (even small ones drive me crazy—Stephen used to have to dispose of them). It stuns and then paralyzes them (strong holds them in place!),
Watch “Something New Every Day” on #Vimeo https://t.co/ZJWU2JPZSN The world lost an icon of mathematics Tuesday when Ron Graham passed away. His legacy, however, will live on through his books, research, and the many students he taught and mentored, one of whom is my son, Jake