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  1. lpetrich

    2020 Election Results

    COMEBACK by M. Steven Fish with Laila M. Aghaie | Rivertowns Books Then quoting Steven Fish himself:
  2. lpetrich

    Names of the US Presidents - what origins?

    Latin decimâlis < decem "ten" + -âlis (adjective-making suffix) So it's "ten-related" Latin decem itself is cognate with English "ten".
  3. lpetrich

    2020 Election Results

    Adam Lee then considered several things. Going ahead with his original student-loan forgiveness plan. If some judge prosecutes some official for doing any of the work of it, he then pardons that official. Using the Defense Production Act to commandeer fossil-fuel companies to make...
  4. lpetrich

    2020 Election Results

    For the good of America, Biden should become a dictator by Adam Lee at FreeThoughtBlogs "I wasn’t cynical enough about this Supreme Court." He thought that the Court sitting on the case was an effort to run out the clock to keep Donald Trump from being tried before the election. The Court...
  5. lpetrich

    The hush money indictment

    Judge in Trump's hush money trial delays sentencing following Supreme Court immunity ruling
  6. lpetrich

    Language as a Clue to Prehistory

    I concede that I refer to Wikipedia a lot because it is often a very helpful starting point. I wouldn't consider it a primary source, however. Pictographic symbol: Pictogram - pictures Ideographic symbol: Ideogram - for ideas Logographic symbol: Logogram - for words or word parts (morphemes)...
  7. lpetrich

    Names of the US Presidents - what origins?

    I recall from my childhood Daniel Inouye, with a Japanese last name, and James Abourezk, with an Arabic last name and Lebanese ancestry. I decided to look at failed Presidential and Vice Presidential candidates. 1792 United States presidential election - Wikipedia and stepping through the...
  8. lpetrich

    Krysten Sinema Leaves Democratic Party

    Kyrsten Sinema on X: "Maybe it wasn’t a great idea to eliminate the judicial filibuster." / X - she didn't explain. I like this response: Kwan Z. Hopkins on X: "@kyrstensinema Maybe it wasn't a great idea to derail your party's agenda. You might have been a senator for more than one term." / X
  9. lpetrich

    Democrats trying to unseat each other III

    Daniel Marans on X: "New: In VA-10's Democratic primary, ..." / X Donation To Pro-Israel Group In Virginia House Race Shows Limits Of Campaign Finance Laws | HuffPost Latest News - "Democrat Eileen Filler-Corn gave the Democratic Majority for Israel PAC $110,000 a day after the group endorsed...
  10. lpetrich

    Democrats trying to unseat each other III

    VA-10? Incumbent Jennifer Wexton has decided to quit because she has a disease much like Parkinson's disease: Progressive Supra-nuclear Palsy Wexton Shares Health Update and Announces Retirement Plans | U.S. House of Representatives Virginia's 10th Congressional District - Ballotpedia Virginia...
  11. lpetrich

    The Race For 2024

    Who could replace Joe Biden? Here are six possibilities | Joe Biden | The Guardian Kamala Harris, Gavin Newsom, J B Pritzker, Gretchen Whitmer, Sherrod Brown, Dean Phillips Biden meets with his family amid pressures to step down after debate | Joe Biden | The Guardian - "Officials dismiss...
  12. lpetrich

    Are there really infinite transcendental numbers?

    ...It uses Euler's totient function - for positive integer n, phi(n) is the number of positive integers coprime or relatively prime to n. phi(n) = n * product of (1 - 1/p) over p: all the distinct prime factors of n The theorem itself: for a and n coprime, a^(phi(n)) = 1 mod n That means...
  13. lpetrich

    Are there really infinite transcendental numbers?

    Rational numbers have the property that their decimal or other place-system representations have infinitely-repeating sequences of digits that trail the first digits. I'll show three repeats of each repeated sequence. Decimal: 1 - 1.000... 2 - 0.5000... 3 - 0.333... 4 - 0.25000... 5 -...
  14. lpetrich

    Are there really infinite transcendental numbers?

    real analysis - Do the Liouville Numbers form a field? - Mathematics Stack Exchange Absolutely not, because an algebraic field needs an additive identity and a multiplicative one: 0 and 1 for the rational numbers and their supersets. Neither is a Liouville number. Also, every real number can...
  15. lpetrich

    Are there really infinite transcendental numbers?

    ...either operation. Transcendental numbers? The paper cites this theorem: if x and y are transcendental numbers, then at least one of x + y and x*y is transcendental. Proof: let x + y = a and x*y = b and solve for x and y: x = (1/2)*(a - sqrt(a^2 - 4*b)) y = (1/2)*(a + sqrt(a^2 - 4*b)) and...
  16. lpetrich

    The Processor Thread

    Yes, as early CPU chips. But they were one-off designs, not members of instruction-set-compatible families.
  17. lpetrich

    Are there really infinite transcendental numbers?

    Liouville number - a kind of transcendental number. It is a real number x with the property that for every positive integer n, there is some p and q that satisfy \displaystyle{ 0 < \left| x - \frac{p}{q} \right| < \frac{1}{q^n} } That means that Liouville numbers are almost rational numbers...
  18. lpetrich

    Are there really infinite transcendental numbers?

    I'll use LaTeX on the gamma-function content of one of my earlier posts. \Gamma(1) = 1 ,\ \Gamma(\frac12) = \sqrt{\pi} Transcendental and algebraically independent of pi: \Gamma(\frac16) , \Gamma(\frac14) ,\ \Gamma(\frac13) ,\ \Gamma(\frac23) ,\ \Gamma(\frac34) ,\ \Gamma(\frac56)...
  19. lpetrich

    Roe v Wade is on deck

    Fighting for Reproductive Freedom | Alexandria Ocasio-Cortez - YouTube - at Las Vegas NV Great speech. On the podium: "Biden-Harris: Fighting for Reproductive Freedom" She described how she is a "Planned Parenthood baby", and how her mother chose to have her, and she then described what she...
  20. lpetrich

    Louisiana mandates 10 Commandments In Schools

    Turning to three more of the 10C's, Exodus 20:7 KJV: Thou shalt not take the name of the LORD thy God in vain; for the LORD will not hold him guiltless that taketh his name in vain. "Take in vain" is not very obvious to Modern-English speakers, and some translations instead use "misuse"or...
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