Youtube comments of Beth Hentges (@bethhentges).

  1. My college students were all born in the 2000s. They are amazed when I tell them all four of my grandparents were born in the 1880s.
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  2. Thank you very much for this. I am from the USA. My father fought in Germany, and his ancestors (only 1-2 generations earlier) were from Prussia, Bohemia, Bayern, and Luxembourg. In fact, my dad’s uncle fought in WW I, in Germany, also. After that war ended he went to Luxembourg to meet his first cousins. I hope to travel to Europe some day. I had hoped to take my dad, but by the time I maybe could afford it, he was too elderly. He died in 2009. One interesting thing. I was with my dad when he had an appointment with a doctor he hadn’t seen before. The doctor came in, greeted us, introduced himself. Then he said, “Hentges. That’s a German name, right? Have you ever been there?” My dad said, “Well no, not as a tourist. I was there during the war.” The doctor said, “Me, too, but I was on the other side.” Then they each shrugged their shoulders and nodded their heads once as if to say, “I understand. War is hell. Been there. Done that.”
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  3. Could partly be survivor’s guilt. As much as Queen Victoria was/is revered, her children BC and grand children sure made a mess of things all over Europe (and Asia).
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  4.  @mta4562  On my dad’s side he had two uncles that married sisters and then later after the man in one couple died and the wife in the second couple died the widow married the widower.
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  5. My dad would be almost 98, but he passed away 15 years ago. He was in Patton’s 3rd army in 1945. Thank you @Mark Felton.
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  6.  @IkarosDC  I an 59. My dad was born in 1926; my mom in 1935.
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  7. Reminds me of when my dad entered France and Germany in Jan or Feb 1945. It had been a LONG 1-2 days travel across the Channel, then in ever smaller trucks until he and a few other replacements ended up at their unit about 2 AM. They were tired, hungry, and cold, and their new officer was telling them the ins and outs when he noticed they were falling asleep. “God d*** it! Pay attention. Don’t you know half of you will be dead by next week?!” They paid attention after that….
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  8. SARS2 CoVid19 started as a respiratory disease, but it’s actually a vascular disease that affects almost every organ.
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  9. Mark, Has Part 3 been released yet?
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  10. At summer camp one of the graces we would sing is called Johnny Appleseed. Oh, the Lord is good to me. And so I thank the Lord for giving me the things I need: the sun, and the rain, and the apple seed. The Lord is good to me. But don’t you dare sing it or even mention its name unless you really want it to rain!
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  11. Copyright 2020.
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  12. Can someone please explain the connection to JP II?
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  13. It’s common for folks who are boating or canoeing to gorget to drink water because they are surrounded by it. I have noticed that one of the first symptoms if folks get just a little bit grumpy. I have seen it many times.
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  14. Isn’t that what CRM is about?
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  15.  @Heike--  Explain.
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  16.  @kamakaziozzie3038  Evidently that person deleted the post.
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  17.  @andybelcher1767  When my dad was in his mid 70s he had a doctor’s appointment with a new to him specialist. As the doctor entered, he said to my dad, “Hello Mr. Hentges. I’m Dr. [obviously a German last name]. Hentges. That’s a German name isn’t it?” “Yes it is.” “Have you ever been there?” “No. Well, yes, during the war. I fought there.” With a knowing shared experience of war and nod/tilt of his head, the doctor sighed and responded, “Yeah, so did I.” It was clear in that moment that the Dr. had been in the German army. It was amazing to witness these two elderly men (though the doctor was a bit younger than my dad) who could have been in the battle against each other 55 years earlier share a “War is hell, and we were just kids” moment.
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  18. Mayan is not a single language. There are over twenty different Maya languages spoken in Guatemala today.
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  19. Congratulations!
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  20. Wonderful! Thank you for this info.
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  21. My grandfather was German Catholic. His wife , my grandmother was German Lutheran.
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  22. Several medical doctors in USA posting today about -spike in severe cases & hospitalizations in children -adults: even if reinfection presents with mild symptoms, there is significant damage to vasculature that is cumulative -more folks with Long COVID
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  23.  @MP-uo6qd  He has a PhD and was a nursing professor for many years.
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  24. Good. Vote for Harris Walz then.
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  25.  @oldsguy354  Hello, Central? Pennsylvania 6500 please.
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  26. My coworker’s father flew the Hump also.
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  27. I’m only 59, but I remember him reading both Stone Soup and Caps for Sale.
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  28. And why nothing should hang from the rear view mirror.
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  29. My dad turned 18 in July 1944. He was drafted and reported in October. He was still in training when the Battle of the Bulge started. He was in Germany by January or February. He also earned the Bronze Star. He received it in the early 1980s! We found out decades later that it was authorized/awarded in the early 1960s by JFK. My dad didn’t know why, but he did say, “Well, there was that one time we got a spy out.” He passed away in 2009, at 82. He would be 97 now.
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  30. Ricardo Klement was Eichmann’s alias.
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  31. My college-aged students were born after 9/11. To them the 1990s is ancient history. They’re shocked when I tell them all four of my grandparents were born in the 1800s, and I had a great uncle in WWI.
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  32. Over 20 different Maya languages are still spoken in Guatemala.
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  33. Congratulations on the 1 million subscribers!🎉
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  34. Canoes and dogsleds also use a type of counter steering.
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  35. I think it would have been helpful at/near the beginning to make it clear that each permutation is a member of this thing called a group, not, for example, the vertices on which the permutation acts.
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  36. Why were there two?
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  37.  @jonathanperry8331  I have the same question.
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  38. In his eighties I accompanied my dad to an appointment with a specialist. As the doctor came in he said, “Hello, Mr. Hentges. That’s a German name isn’t it?” My dad answered yes. The doctor asked, “Have you ever been there?” My dad said “Just during the war.” The doctor said he “was in the war, also, but on the other side.” They both nodded, and then the appointment began.
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  39. Dr. Campbell has defined “incidental case” many times as someone who is admitted to a hospital for a reason unrelated to COVID who then tests positive while in hospital since every admitted person is tested.
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  40. So sorry Gina.
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  41. My dad told me about the young boys at the end of the war. Seeing some of their faces, though, brings it to a whole another level.
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  42.  @EdwinWiles  Depends in if you are an early bird or a night owl.
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  43.  @rodwallace6237  Then they shouldn’t be used for IM injections other than say in an Epipen or similar designed to be used by civilians in an emergency.
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  44. Thanks for the explanation regarding using a “loop” to decide whether a train can continue or wait for the opposing traffic.
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  45.  @killpop8255  Not
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  46. Please explain the 2137, Poland, and JP II connection.
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  47. The CFI was a woman, not a girl. She was not under 18 yrs old!
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  48.  @travelwell6049  The reason is there’s almost no profit in making and selling it.
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  49. Lots of German POWs were sent to work on farms in Minnesota and Wisconsin as well. My American born grandmother spoke German as her first language as a child and her schooling was in German in WI in about 1890-95.
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  50. I have usually seen it in the other direction. Start with the Taylor Series of e^x, cos(x), and sin(x), and use them to prove cos(x)+isin(x)=e^(ix).
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  51. We don’t know.
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  52.  @detroitandclevelandfan5503  Wow. I have never heard someone say the Bulge was worse than D Day. That puts it into a whole new perspective for me. My dad was just young enough that he entered Basic Training in October 1944. It was cut short because of the Bulge. He arrived in theater, I think in France, late January or early February 1945.
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  53.  @mickcraven980  Petter did mention they used less fuel during taxi than they had thought they would, so the plane was heavier than what was already almost max takeoff weight.
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  54. My dad would have turned 96 next month. He entered France and Germany in Jan/Feb 44. He has been gone 13 years already. I miss him.
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  55. So sorry
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  56. And they should have pilled the voice recorder.
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  57. They all did. As my dad said, since every man their age had been through similar experiences there wasn’t a need/benefit to talk about it.
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  58. Dr. Campbell, You are measuring time from conception, but pregnancy is measured from the first day of last period. At the moment of fertilization, if periods were regular and about 28 days apart, the women is said to be two weeks of pregnancy. So the date when most women might notice their period hasn’t started, she is already 4 weeks pregnant. So 4 weeks after conception, the mother is six weeks pregnant. I wish you had explained this to your audience.
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  59. And never approach a stray while in a developing country.
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  60. One of my dad’s friends survived the Batan Death March.
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  61.  @suvinetuul80  The nurse inserts the needle into the arm, withdraws the plunger a bit, waits for 5 seconds to see if any blood appears in the syringe. If not, then pushes plunger to inject. If yes, the nurse has inadvertently hit a blood vessel. In that case the nurse removes the needle from the patient, discards that syringe and dose, and starts over.
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  62.  @cesarfigueroa6119  As long as it compiles, runs, and produces the expected outcome. 😅
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  63.  @BA-gn3qb Walz filed his retirement papers six months before his unit got orders. You are mistaken about his rank as well.
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  64. I like, then watch.
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  65. My dad always said “Battleground” was the most realistic WWII movie—except the actors were all too old. That is until “Saving Private Ryan” cane out. Dad was in Basic Training during the Bulge and joined Patton’s third in late January ir early February 1945.
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  66.  @ploniAlmoni18  I do. You’re mistaken.
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  67. And they did the same in Guatemala.
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  68.  @jvigglione6421  Yes
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  69. I am 61 and don’t remember this at all though I do remember much of the Apollo program. My parents must not have thought it was a big deal.
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  70. For my 5th (or maybe 6th) birthday after a party at my house my guests (3-5 of them) and I went to a live broadcast of the local kids show in Rochester, MN. I took the main character a piece of my birthday cake. We must have been early, or maybe there was a tour of the set before the taping. Anyhow, the cast re-wrote or ad-libbed a sketch where the main character was sitting at his desk with a plate holding that piece of cake. Whenever he turned his head, a little puppet (a mouse?) came out of a hole in the wall at desktop height and tried to steal the cake! Years later my dad went to the studio to see if they still had the show on tape, but they didn’t. Thanks for jogging my memory of one of my best birthday celebrations ever!
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  71. Do we know who created Enigma and how?
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  72. Only if your name is Trevor.
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  73. The voting age was 21 then.
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  74.  @FRodriguez_ Neither of what you say are true.
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  75.  @RogueSanta The mayor had to ask the governor for the guard. That’s what took a few days.
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  76.  @RogueSanta Neither are true.
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  77. Congratulations!
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  78. I just turned 58. My father fought in WWII. All four of my grandparents were born in the 1880s. I have no reason to doubt the person who says their grandfather died there.
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  79. You can click on the gear settings icon and change the playback speed to 0.75 speed.
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  80. “Certain subsets” could simply mean they used a stratified random sample. Nothing wrong with that.
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  81. In MN we don’t even THINK about moving the snow brush and scraper to the trunk (or the way back) till May or June. My parents told a story of a wedding in May. Short sleeves, no jackets, women in high heels on the way into church. About 3” of snow on the way out.
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  82. Yes, P=>Q and ~Q=>~P are logically equivalent. They are either both true xor both false. They are contrapositives of each other.
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  83.  @user-ru9gf7ky2y  As many other folks have pointed out to you, Dr. Felton earned a PhD, and it is proper to refer to him as “Doctor Felton.” You are correct that he is not a medical doctor; he is not an MD.
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  84. Never knew this before. Thank you.
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  85. I am so sorry.
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  86.  @Anonymous-df8it  No, I would have to say, “either x or y, but not both,” not just “either x or y.” However, we often do say “or” when we mean “xor.” Do you want steak or chicken? Yes, both, please.
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  87.  @Anonymous-df8it  Could be intersex! Both.
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  88. Hey THG, the word, “fractal” is pronounced FRACKT-ull or FRACKT-ell, not FRACK-tile.
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  89.  @galacticminx  A college in the US may offer a two-year degree(AA) and/or a four-year degree (BA). A university also offers graduate degrees (MA and PhD).
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  90.  @galacticminx  Believe me I tell them to multiply (a+b)(a+b). And I remind them that mult. distributes over ADDITION. Exponents distribute over multiplication. Yet,…
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  91. 16:19 You mean they built a canal perpendicular to the Nile, not parallel to it.
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  92. He has said that it has happened a few times in his career.
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  93. 03:15 The patient was “immunocompetent” and “and showed no biological evidence for immunological disorder.” From the article: We here report a case of severe SARS-CoV-2 reinfection with South African variant 501Y.V2, four months after recovering from a first episode of COVID-19. In September 2020, a 58-year old immunocompetent male with a history of asthma presented with mild fever and dyspnea. SARS- CoV-2 infection was diagnosed by real-time RT-PCR on a nasopharyngeal swab. Symptoms resolved within a few days and the patient tested negative twice in December 2020. In January 2021, 129 days after onset of the first infection, he presented to hospital for recurrent dyspnea and fever. SARS-CoV-2 RT-PCR was positive again, and viral genome sequencing identified D80A, E484K and N501Y mutations in the spike region, characterizing the 501Y.V2 lineage B.1.351 variant. Seven days later, the patient developed a severe acute respiratory distress syndrome requiring intubation and mechanical ventilation. He was treated with dexamethasone and tocilizumab. Antibody testing was positive for IgG against SARS-CoV-2. The patient was negative for HIV, and showed no biological evidence for immunological disorder. He is still in critical condition at the time of submission. The strain responsible for the first episode of COVID-19 was not available for sequencing.
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  94. This mathematics educator appreciates your explanations and those commentators who added their expertise here.
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  95. Kind of like canoeing or rowing up river.
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  96. I was just talking about the Armistice Day blizzard in MN with my aunt the other day.
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  97. In his 80s my dad went to a new doctor (a specialist). The doctor said, “Mr. Hentges, that’s a German name, yes?” My dad said yes. “Have you ever been there?” “Just during the war.” With a nod, “I fought there, too. On the other side.”
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  98. @Mark Felton, Do you have an opinion that you are willing to share about whether the the Moscow apartment bombings that occurred during (just after?) the Boris Yeltsin to Putin change in power that were blamed on Chechnyans were really KGB (or similar) false flag attacks to boost support for Putin?
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  99. My 16 come from 9 countries.
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  100. Remember the jingle? “Look for the union label when you are buying a hat, coat, or dress….”
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  101. Thanks for explaining it so clearly to us..
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  102.  @BA-gn3qb  They knew they might be deployed in the next two years; that’s all.
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  103. I wish my dad was still alive to watch these.
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  104. What’s the probability of B given A if I know the probability of A is zero? Thanks. I love that example.
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  105.  @bradleyd6000  I think the parents were NOT onboard.
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  106. And to hear the tour guide.
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  107. The bridge between Duluth, MN and Superior, WI is named/dedicated to Bong.
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  108. Right. Among so many ways these folks were unprepared, the emergency caches should have been created before the expedition rather than being planned to be used only as part of a failed resupply mission.
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  109. You need the definition of even. An integer n is even if and only if there is some integer k such that n=2k. So, does the equation 0=2k have a solution? If yes, is that solution an integer? If either answer is “no,” then zero is not even. If both answers are “yes,” then zero is even.
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  110. He has his own YouTube channel.
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  111. Yep. I was driving home from college in 1980 or 1981 for spring break on the Saturday of the boys basketball state tournament. Left St. Cloud in the evening, after performing in a concert, maybe 8:30PM-9:00PM. Just as I thought to myself that I was almost home—only another 40 miles left of a normally 3 hour trip that was already maybe 4-5 hours I fishtailed into the ditch in the median about 50 miles south of Minneapolis. Too deep to have a chance of getting the car out without a tow. Walked up to the road to flag cars for help. One or two passed me by, but the next stopped. As a small, 20 year-old female, in the dark, in what was now a blizzard, I was relieved to recognize the driver as a gym teacher from my hs. You see there was actually lots of traffic for a blizzard because so many folks were heading home from the tournament. During the next, very slow, 2-hour drive for those last 40-50 miles home, we picked up 3-4 other folks whose car was no longer on the road. Thanks to the careful driving of the teacher we all made it home.
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  112. I pray for a quick and full recovery.
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  113. Pfifer
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  114. NASA REALLY Heavy
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  115. 11:53 Starting here for the next ten seconds one can see a modern safety pin on Richard’s collar.
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  116. In MN, blizzards in March are common—especially on the weekends during the state high school hockey and basketball tournaments.
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  117. Dr. Campbell, Do you expect exposure to Omicron will provide protection against Delta? Otherwise, why is Omicron displacing Delta rather than folks being infected with both strains? I understand that Omicron spreads much faster.
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  118.  @danielbarreiro8228  Your description of a right angle as 100 grads is correct, and it’s an attempt to make angle measures more friendly in base ten. However, the words “decimal degrees” has a completely different meaning. Decimal degrees refers to writing the fractional part of one degree in decimal form rather than in minutes and seconds.
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  119. Neither! It’s a soft “c.”
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  120.  @luongo7886 It’s Luxembourgish.
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  121. It isn’t. That’s the problem.
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  122.  @bellslinki  But we don’t yet know how long the antibodies last nor whether they will protect against new variants. That’s why the vaccine is recommended for those who have had COVID-19.
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  123. “Well that’s not for me to say” after having just said so.
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  124.  @SWATT101  And before Private Ryan, my dad always said the movie Battleground, about the Bulge, was the most realistic, except the actors were too old—not 18 year-old kids.
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  125. Same idea—bound on first ballot based on who they pledged for/was voted for.
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  126. My grandmother spoke German in school in the early 20th century.
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  127. A series about the lives of the children of senior Nazis would be interesting.
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  128. He used the phrase “in war” once. And his rank had something to do with a difference between his job and when he retired.
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  129. “Look for the union label when you are buying a hat, coat, or vest….”
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  130. Thank you Kyle. I have heard of that metallic taste before.
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  131. No, in the USA, we write two diagonal marks. The first is from upper-left to lower right, but it’s curly on both ends. (Concave down at top-left, and concave up at bottom-right.) Then the diagonal from top-right to bottom left is usually written as a straight line segment. Only recently have I ever seen folks write a backwards c and then a forwards c that touch, and in every case (less than ten in a 32 year career) it has been from students who grew up in the Middle East.
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  132.  @petek7822  He was in basic during the Bulge. He entered combat in Europe in early 45.
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  133. Did either of the dogs’ bodies found match Hitler’s dog’s description?
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  134. Because he has another long collection of videos about Christians.
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  135. Baden is pronounced BAH-den.
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  136. Your characterization of modeling shows a complete lack of understanding of what it is. All modeling is based on data.
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  137. In MN, USA, we just finished a 2-3 week set of stricter measures, but now they have been loosened again. It’s clearly too soon. I worry what things will look like in 2-3 weeks, especially as my son just tested positive and now we seem to be showing symptoms also.
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  138.  @videogameguy101  Early 1960s.
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  139.  @madisntit6547  I may need to look that up! Sitting Bull is one of my heroes.
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  140. I think Embarras, MN might hold that title.
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  141. Or just one of them is zero.
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  142. In USA we say opposite for additive inverse, reciprocal for multiplicative inverse, and function inverse with respect to function composition.
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  143. Yes, Petre, could you discuss brace position and why it’s suggested? It seems counter-intuitive to me.
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  144. I have many college students who make this mistake—even when significant time in class is devoted to why it’s wrong.
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  145. Or countries that use the metric system for everything except temperature, like Guatemala.
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  146.  @kenoliver8913  Yes, but 60 has lots of factors, including 3; 10 has only two proper factors, other than 1.
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  147. Turning the lights on by flipping the wall switch, and then turning them off. 1+1=0 Compare two circuits: one in series, one in parallel. Then put a switch in each circuit.
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  148. Except we don’t know ahead of time which people are the few who DO get very sick.
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  149.  @dancroitoru364  He worked as a nurse for decades and also as a nurse educator.
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  150. My dad was born a few months after the Queen. Unfortunately, he passed away in 2009.
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  151. It crashed into Mars. Yes, along the way someone used US Customary units. IIRC, the problem was not that two different units were used; the problem was the conversion factor used did not have enough significant digits. By the time the probe reached Mars the accumulated round-off error was much bigger than the tolerance needed.
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  152. For that thank the Maya of Guatemala.
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  153. Glad she never used #6.
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  154. And another rope from the house to the milking barn.
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  155.  @busylizzy  Usually folks are infectious only for the first few days after being infected.
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  156. When I asked at my local pharmacy whether they would aspirate I was told no. Thankfully, at a vaccination clinic held recently where I work, they said they absolutely could and would do so.
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  157. Have you read his “Bright Sunshine” speech from an earlier convention?
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  158.  @piratesswoop725  NLOG?
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  159.  @VisibilityFoggy  Just like for speed, temperature would be a matter of hearing and recognizing “benchmark” temps. 40 C = 104 F 37 C = 98.6 F 30 C = 86 F 20 C = 68 F 10 C = 50 F 0 C = 32 F -10 C = 14 F -20 C = -4 F -30 C = -22 F -40 C = -40 F Maybe the odd multiples of 5 C as well.
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  160. Do you really have to ask? I will give you three guesses, but the first two don’t count.
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  161. My mother, born in 1935 knew the @ meant “at” multiple decades before the internet.
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  162.  @EebstertheGreat  I think, but don’t know, that the @ was commonly used in shorthand and was used in medical fields as well as in the military. That might be the reason(s) it’s on the standard USA keyboard.
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  163. The problem is one never knows whether one’s own immune system IS working. It’s the difference between the aggregate vs. the individual. For example, I had chicken pox twice as a child, a few years apart, with the second time just as bad as the first.
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  164. I remember my dad complaining about the 90 Day Wonders…
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  165. In commercial aviation now, are fractions of a degree measured in degrees, minutes, and seconds or in decimal degrees?
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  166. ?
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  167. I would think they would have been worth melting down to be used in rebuilding.
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  168. 1:34 China. The Empire of Time
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  169. Most surveying historically in the USA used degrees, minutes, and seconds for angle measures, not grads.
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  170. Interesting to see the film of a parade after having watched three hours of parade and Trooping of the Colours.
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  171. Merry Christmas Dr. John.
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  172. Wow
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  173.  @agatha6999  inbred—>in bread The meat of a sandwich is placed between two pieces of bread, so it’s in bread.
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  174. Oh, ASCII. 😅
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  175. Just today was talking in class that x^(-1) means multiplicative inverse, but f^(-1)(x) means function inverse. When writing by hand, do folks in countries other than the USA use the “flying hyphen” for a negative number (or the opposite of something) vs. a regular hyphen for subtraction?
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  176. And then what does ( f(x) )^(-1) mean? And does f(x)^(-1) mean anything or is it nonsense? At least we probably agree that f(x^(-1)) = f(1/x).
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  177. Freshman in both hs and college.
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  178.  @hardwoodgems  And its guts.
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  179. Maybe, and we don’t know whether it will jump back to humans.
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  180.  @tomhenry897  No he didn’t.
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  181.  @BA-gn3qb  Your first sentence is simply not true.
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  182. Or burning in a fire.
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  183. Could you do a video about the northern border and the Northwest Angle in MN?
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  184.  @suvinetuul80  Many folks have answered your question on the other thread.
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  185. Where’s part 2?
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  186. I am sure he called her “mama” out of respect.
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  187.  @gorgonzolastan  I came here to say the same.
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  188. Captain Kangaroo, Mr. Rogers, Romper Room, and later Sesame Street and Electric Company. Banana Boats and Casey Jones with Roundhouse Rodney, also.
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  189. If the glide slope is 3%, the angle to a line parallel to the ground should be about 1.7 degrees. Your animation showed an angle of about 30 degrees.
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  190. For some reason in the USA, in K-12 ed, and the first two years of college, we make a distinction between natural numbers (positive integers) and whole numbers (non-negative integers). Then once you are in your third yr at college and start group theory/abstract algebra, then we change the definition of natural number to include zero. In the USA, the number written -3 is “negative three,” NOT “minus three.” The word “minus” should be used only for the operation of subtraction. In everyday life, we often hear “minus” used incorrectly as “negative.” Also, in the USA -3 is an integer, but it’s not a whole number, because the whole numbers are the non-negative integers only. I tell my students that definitions develop over time. They start as a general description, and they get more precise as the object becomes more understood. Along the way, “edge cases” are sometimes included and other times not. It’s important to know what those edge cases are so that when you engage with a new person/course/text, you will know you need to agree as to whether or not the definition is inclusive of the edge case or not. For the purpose of the new discussion we need to know: Is zero a natural number? Can a line be parallel to itself? Is a rectangle a trapezoid? When we say suppose a and b are two ___ , are we allowing them to be the same ___ , or are we assuming they are distinct? Regardless of which choice we make, we need to keep that in mind as we go forward in the statements of new theorems and definitions.
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  191. 1.6(1.4)=2.24 Delta is 124% more transmissible than wild. 0.85(0.85)=0.7225 85% of 85% is about 72%
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  192. 5+4=9 Then two more digits added makes 11. The twelfth digit is a check-digit.
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  193. Or they might change it.
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  194.  @daverok1113  The new variants of the virus.
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  195. How often were the PCR tests given to the folks in the trial?
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  196. ?=1980
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  197. Yes, at first.
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  198. I had forgotten they were too high during most of the approach.
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  199. My father’s basic training was cut short, and he joined Patton’s 3rd Army, 94th Infantry Division in early February.
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  200. Search for: Kyle & April
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  201. When canoeing in the BWCAW or the Quetico, there are two brands of maps one uses: Fisher and McKenzie. I wonder now whether/what the connection is.
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  202. I have heard some nurses are 1:6 in CA!
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  203. Could you do a video about the approach into Guatemala City? Not as mountainous as Paro, Bhutan, but that video made me think of flying into Guatemala City. I would love to hear your thoughts about it and what the challenges might be.
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  204. @Bob Lawblawblaw I don’t know....
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  205. We say the same in Minnesota, USA. If you don’t like the weather stay around for ten minutes.
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  206. In English a “lie” is a false statement. 2^3=8 is a statement that is true (always in R), correct, and right. It’s an identity. (It’s not a very interesting identity.) 2^3=6 is statement that is never true. It’s false, incorrect, and wrong. It’s a contradiction. We KNOW 2^3=8. It SAYS 2^3 is the same as 6, but we KNOW 2^3 is NOT 6. Hence the contradiction. If I say to you, “the third power of two is eight,” then what I said is true and I have told you the truth about 2^3. If I say to you, “the third power of two is six,” then what I have said is false, and I have told you a lie about 2^3. The equation x+3=2+x+1 is always true. It’s an identity. The equation x+3=2+x is never true. It’s always false. It’s a contradiction. The equation x+3=2 is true for some value(s) of x, and is not true for other values of x. Some say it’s “open.” Most say it’s “conditional.” There are some condition(s), some value(s) for x, for which it would be true, and there are other condition(s), other values for x for which it would not be true. In mathematics, right vs. wrong, right means correct; wrong means not correct. In other uses, right can mean the correct or the ethical thing to do; wrong means the incorrect or the unethical thing to do.
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  207.  @REDVETTExxx  Everything.
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  208. Because students forget and fall into the “Everything is linear” trap.
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  209. About 15 yrs ago, Guatemala changed from 10-digit phone numbers like ours, 502-xxx-xxxx to 11-digit numbers 502-xxxx-xxxx rather than add area codes.
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  210. Have you seen the video of their funeral mass and reburial in the church? It’s interesting to see who was there.
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  211. https://youtu.be/9yVRmmZp7AQ
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  212. Did they die from the car crash or their heart disease when their heart stopped immediately after the crash?
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  213.  Peter Mortensen  a clinic
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  214. Chad BroChill In MN, too.
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  215.  @justsayupyours  No. They’re equal at -40 degrees, not -60.
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  216. 68F=20C 98.6F=37C
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  217.  @accountnamewithheld  Yes Agnew. He resigned as part of a plea deal. Then Nixon nominated Ford to be VP, and Ford was confirmed by the Senate.
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  218. I wish the USA would consider extending the time between doses so more folks could get first shot. Dr. Fauci thinks doing so might give more chance for more new variants.
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  219. Loved my 2000 Ford Taurus Wagon.
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  220. Yes
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  221.  @bellslinki  I didn’t say more is known about vaccines.
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  222. You cannot understand a proof if you don’t know what the symbols mean. Maybe you are trying to say you can’t understand a proof until you understand what the being proved is (and maybe also some ramifications of it)?
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  223. He just did!
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  224. Maybe he edited them?!
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  225. Marching bands in MN pronounce it SHAY-ko not SHAH-ko.
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  226. Because the exponent is a cardinal number, not an remainder, by convention.
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  227. Never heard of this before! My dad sent and received paper letters.
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  228. The “shocking move” was how he got the cyanide; not that once he had it he used it.
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  229. Dr. Campbell has been on the Vitamin D bandwagon for 18 months or more.
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  230. Hispanic vs non-Hispanic is a separate question than “race”
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  231. Couldn’t a single pilot turn off such a system and keep the 2nd pilot locked out if they intend to crash?
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  232. As did mine—a few months after this guy.
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  233.  @tomjohnson4681  That’s if you survive being sick the first time....
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  234. Always!
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  235. More snow headed here Thursday! That will make this winter the 7th most inches of snowfall in Minneapolis on record.
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  236. Eat bananas. Lots of bananas. They contain a B vitamin that helps against mosquitoes. Also, we need more bats. They eat mosquitoes. Um, wait, bats evidently carry coronaviruses….
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  237. Monoclonal antibodies
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  238. In USA we say Ralph Laur-EN.
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  239. An elderly person can be stable for months, and then suddenly take a downturn and die shortly after. There isn’t a way to predict when the downfall will come.
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  240.  @lineikatabs  The question should be, “What cards are necessary to turn over to prove the rule for these four cards?”
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  241. Wow. Never heard this. How long was it kept secret?
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  242. Solitaire
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  243.  @user_null3696  You are confusing “if” with “only if.”
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  244. It’s pronounced Ber-NOO-lee.
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  245.  @RonSparks2112  military industrial complex
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  246. I have had COVID symptoms for six days. There have been times my fever got to 101.1 F. This triggered headaches and nausea. I finally gave in and took Tylenol. Then I could sleep. Yesterday only needed one dose at bed time, but today needed two doses.
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  247. I wish I had known about this channel and it was available years ago when my dad was still alive. US 3rd Army (Patton), 94th Infantry Division. Graduated HS in June 44, drafted & inducted October 44, arrived in France February 44. Maybe he would have started talking earlier. He said almost nothing till Saving Private Ryan came out....
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  248.  @AnotherRoof  As I wrote in another reply, in the USA we write two diagonal marks. The top-left to bottom-right mark is curly at both ends. It’s concave down at the top-left and concave—up at the bottom-right. Then the mark from top-right to bottom-left is written as a straight segment. Within the USA, I have encountered less than ten people who write a backwards c and then a forwards c, and these people were/are students who grew up in the Middle East. (I have been teaching for 36 years.)
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  249. Yes!
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  250. And to use enough significant digits in any conversion so that by the time you get to Mars the accumulated round-off error is within tolerance.
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  251.  @PurpleCat9794  Those who are interested in the German perspective might want to follow the YouTube channel Military1945.
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  252. Apparently the delta vs. omicron factor is less than one and may be close to zero.
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  253.  @MentourPilot  Was the AutoPilot not programmed to turn itself off when the stick shaker occurred?
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  254. Dr. Campbell, Is the left side of your face swollen? I hope you are ok.
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  255. The King’s wife is called the Queen Consort. The Queen’s husband is called the Prince Consort.
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  256.  @johntabler349  My understanding is yes.
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  257. Yes, Dr. John has discussed this, and it shows the immune system is working.
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  258. Thank you!
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  259. My dad always said the German planes were loud.
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  260. Me, too.
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  261. Remember the song by Fred Small? “Just dig a hole in the ground. Climb right on down. Put some boards on top of you, and sprinkle dirt around. You eon’t have to be dead, if you only plan ahead. You’ll be glad you kept a shovel on hand.”
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  262. And J&J
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  263. All three looked like identical triplets to me.
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  264.  @fronk850  “There exists” means there is at least one such thing. “There exists a unique” means there is such a thing and there is only one such thing. In other words, there is such a thing and it is the only one such thing.
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  265.  @TheEdward39  All of mathematical logic and it’s notation came from human natural language originally. The mathematical, logical symbols were developed precisely to get away from ambiguities in natural language.
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  266.  @dojelnotmyrealname4018  Precisely. In everyday language we often mean “or” to be exclusive, but in math/logic/CompSci it’s always inclusive, unless we explicitly say or write that it’sexclusive.
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  267.  @barbarataylor8101  I did.
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  268. Doctors in USA are noticing a lot of GI, diarrhea, & vomiting now. Pts not testing positive, but providers skeptical test is missing current variant.
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  269. We can talk about a set for which one of its elements is the empty set.
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  270.  @pn9959  No
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  271. I have never heard anyone say “cuz” rather than “cosine” when reading cos(x). Also, from Day 1, I tell my students to always use parentheses around the argument. Clarity is paramount. Also, one should type (1/2)cos(x) rather than 1/2cos(x) because 1) it’s clear and 2) some machines are programmed so that implicit multiplication takes precedence over explicit multiplication and division. Never type 1/2cos(x). Type (1/2)cos(x) or 1/(2cos(x)) depending on which you mean. It’s always better to have more parentheses than might be required than to not have a set that is necessary. Avoid any potential ambiguity or miscommunication.
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  272. By the end, some were 12-13; others were 65-70.
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  273. The first says “for all x in R such that P(x) is true.” The second says that “for all x in R, P(x) is true.” They are not the same.
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  274.  @petek7822  3rd Army, 94th Infantry Division
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  275. A polynomial in one variable named x is a finite sum of terms each of which looks like ax^n where a is a Real number and n is a non-negative integer.
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  276. They should do an at home antigen test and repeat in a few days if negative.
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  277. There have been documentaries about Operation Babylift. I remember seeing them in 2000, around the 25th anniversary.
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  278.  @jasonirwin4631  Do you know the story of the 94th ID after the Bulge?
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  279. Any comments regarding possible hemoragic fever in the DRC? Anyone know if vertigo is a COVID symptom?
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  280. I think you have it backwards. People protested after the recent lockdowns.
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  281.  @emilybrookharrison7562  I heard about them on the news.
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  282. I think it’s called “Pursuit.”
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  283. Mankato is pronounced man- KA-to, not mahn-KA-to.
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  284. Interesting question.
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