This Friday, we start Laplace Transforms in differential equations. By “Laplace Transforms”, we mean the usual simplified Laplace Transform we teach to beginning differential equations students; we do not know what a Lebesgue or a Stieltjes integral is.
That reminded me of what happened in my first differential equations course, back in the fall of 1978. I was sitting next to Vince and the instructor wrote the following on the board:
That, of course, is the gamma function (think of it as a way to extend the factorial function into a continuous function on the reals, though there is a more general version). If you must know, for positive real numbers, . This is a convergent improper integral for
Never mind that.
Vince said “box of x, what is box?” I replied “that is the gamma function, Vince”.
“Box…what’s box? They are just making stuff up! They are making it up as they go along!” Vince was just so offended by the gamma function!
Anyway, that is a memory that made me chuckle; and yes, Vince ended up passing the course.
Workout notes: Not sure what was wrong; my nose is runny and I had a tough time breathing in the gym as the pace got harder (heat? dehydration? allergies?) So my planned 10 minute warm up, 10 x (2:30 at 6.7, 2:30 at 5.3) workout became 10 minute warm up, 6 x (2:30 at 6.7, 2:30 at 5.3) followed by a 5 minute walk, then enough running to get me to 6.1 miles in 1:05, and 1:44 more of walking to get me to 10K in 1:06:44.
I call that a “rescue of a workout”; for me, a 10K training run at under 11 minutes per mile is a valid training run, and I did get some pace changes.
Don’t get me wrong: I enjoyed today’s workout. But there was humility at every stage.
At the Riverplex: when I got there, there was a younger guy (early 30’s?) doing reps with 225 on the bench. He was working out with a bespandexed lady (wife? girlfriend?) whose butt was winning its war with the spandex.
Yeah, I did that when I was younger…actually much more but never mind. That isn’t now.
Then someone …middle aged?..a serious lifter entered. I think his arms were about the size of my lower thighs. I laughed and thought “I had better get out of here before he uses all of the 45 pound plates.”
Someone that Mamma T calls “shirtless Bob” was there; we talked and I noticed that he was running on the treadmill…I peeked at the pace…9 miles an hour (6:40 mpm). Yeah, he is a year or two older than I am.
We chatted; he ran a 5:44 mile last year. I last ran that fast..when I was 38. F*ck me dead!
So I went outside and then ran the 2.2 miles to the start of the Glenn Oak hill (same one that is on the first part of the Steamboat 15K course) and did 4 hill repeats (about .25 miles each, .25 miles back), and then ran the 2.2 miles back (roughly 10K to 6.4 miles total). Those just killed me; I tried to run them at a pace to get me way out of breath at the end and to make me heavy legged.
(logs at the bottom to the gate at the top).
I enjoyed it but…OMG…was I reminded at how badly I suck. 🙂
Weights: rotator cuff, pull ups (5 sets of 10…went well), bench press: 10 x 135, 5 x 185, 7 x 170
dumbbell military: 10 x 50 standing, 2 sets of 10 x 45 standing
Hammer Machine incline: 3 sets; 10 x 180, 8 x 200, 8 x 180. rows: 3 sets of 10 x 110 machine.
abs: 2 sets of 12 twist crunch, 10 yoga leg lifts. headstand: went really well with the wall for confidence (didn’t use it at all though)
I’ve only attempted this race once before. That time I signed up for the marathon and bailed/DNFed half way; I did take a 15 mile version for the first 13.4 mile loop.
This time, I wasn’t even tempted to sign up for the marathon; I did not have the long run/walk background necessary for success. But when I saw the potential for dry conditions, I thought “why not; it is a pretty course and will get me about a 3 hour run/walk” …and that is what happened.
The day could not have been much better; a few degrees below freezing at the start and to freezing at the end (of my half), dry …just a pretty day.
And there were old trail friends here, many who I have not seen in a long time. My knees just do not permit comfortable trail running in bad conditions, hence I have become more of a road person. But today: great.
And, Mamma T (and her (new?) friend) and Jennifer (who suffers next to me in exercise class) was there too. Oh hell, though I like a good run/hike in most circumstances, there are times when I’ll do a race that I am not really prepared for because I am in the mood to socialize. And that is a good thing.
Oh, the race. I started back in the pack and, as things settled, I moved in a very loose group of 5 runners or so, one of who was to finish the marathon (and Julie’s second loop was only 30 minutes or so slower than the first…great pacing for this course).
I let Mary go..she was moving swiftly and she too did very well in the full marathon.
I was figuring on a 15 minute per mile average pace as the sand was dry and quite deep for much of the course (about ankle deep, and soft). I tried, as did others, to run on the part with grass. I seemed to be averaging about a 13 minute pace for the first few parts (1:06 for the 5 mile aid station, 2 hours for for the 9 mile, 2:30 for the 11 mile station.
But I never really knew where I was on the course; it was well marked but I didn’t have a good feel of when to start a “finishing kick”; so I mostly tried to keep within sight of Jason and a couple of ladies (one tall and close to my age, one shorter and younger).
I lost to Jason about 5 minutes and finished 1-2 minutes ahead of the ladies in 3:02 (40 out of 55 finishers; winning time was 1:34, which is my old road PR).
Though I wanted to finish 3 minutes faster, well, I didn’t completely embarrass myself and never got grouchy; the race ended while it was still fun.
I’ve heard this phrase many times. Liberal activists say it. Trump supporters say it.
And I roll my eyes with contempt.
To “speak the truth” one must first “know the truth” and frankly, to many, “the truth” is what “makes sense to them.”
Often, the “truth” is horribly complicated. And so many of these types are so sure of themselves, even though they have no special qualifications nor accomplishments to speak of.
So unless I am reasonably sure that the person knows what they are talking about, I just dismiss them.
workout notes: treadmill run; 5.2-5.6 (2 min) for 10 minutes, then 50 minutes of 2:30 on, 2:30 off (on: 6.7, off: 5.3). I got to 6 miles in 1:00:50 and 10K in 1:03:00. I found out that my having to walk during past versions of these was due to trying to go faster during the “on” sections”. Next time: try the last 4 “on” at 6.8 and go from there.
Later: exercise class.
Workout notes: 5 mile shuffle; 50 and drizzling. Really, that isn’t that bad for this time of year.
Age: The first sign that age was affecting me was back when I was getting close to 40; I tried a series of mile races and found that I actually had to work hard and train to get under 6 minutes (it was routine for me up until I turned 39 or so). I noticed that my 5K times were stuck at just under 21 minutes, though I improved to 1:34 for the half marathon.
But I switched to ultra walking; and that hid my decline a bit. The first time it really, really hit me was in 2009 after I had just turned 50. I was doing a hilly trail 30 mile walk and found myself really suffering in the final 8 miles or so; I strained, strained, strained to stay ahead of a pack of guys and wasn’t able to.
So at the “5 miles to go” aid station I lamented that I couldn’t hold the guys off…that the final set of hills was just killing me. Another ultra type (my age) said “remember that they (the guys I was trying to beat) are 30 years younger than you are.” THAT is when it hit me.
I was to get my knee repaired in 2010 (bucket handle tear in my meniscus) and when I finally got back into it, I was never quite the same. The knee does NOT hurt so I am glad that I had the surgery, but running and walking distances has gotten progressively harder since then.
Oddly enough, weights are still not that bad. I am weak (bench press: 5 reps with 185-190, 8-10 with 170; sets of 10-15 pullups until I get to 50 total) but not getting that much weaker.
And then I saw this:
And I thought: “well, if only I had a slender wife…” but in reality, that wouldn’t really help me. Back in, say, 1998-1999 I might have been able to pull this off with a smaller running friend, but no longer.
And, if the guy is strong enough (and I am not), the wife doesn’t always have to be THAT small (middle 2 photos).
The good: I found out that yesterday’s Bradley 5K was on the “long” course and not the “short one”.
So, maybe I was closer to the 27:30 where I thought that I should be; not that I was ok with my last mile collapse.
And today, I walked a slow, untimed 10.1 miler and overdid the “slow” part. Now: it appears as if I’ve been drugged.
I am just going to DIE next Saturday when I have a half marathon (13.4 miles in this case) planned; the course isn’t that hilly but it is mostly sand. This time, there might not be snow. And rain might actually pack the sand down just a bit. So I had better take Thursday and Friday very easy.
Well, this was my first race since Thanksgiving of last year and it showed.
It was blustery but 40’s…really not a bad running day. It was a student crowd (a few faculty; one was to pass me in the final mile). I took a 1 mile indoor warm up and perhaps 1/3 of a mile outside.
I went out at what seemed to be a reasonable pace and oh man, I felt it early. Mile 1: (so they said) 9:15???? Oh-s**t. I didn’t think that I was going THAT slowly; the second mile came at 17:25 which appeared to be more reasonable. But by then I was hurting and talking myself out of walking. There is where I got passed. The last mile (this time around the campus circle) was a slog. I saw the clock at 27:0x when I made the run and even a small burst could not get me under 28…28:09 was my final time. And yes..I was tired and out of breath.
That is my current shape. OMG….
I walked 2 miles to get to 6.
Then weights: rotator cuff, pull ups (5 sets of 10), bench press: 10 x 135, 5 x 185, 9 x 170, military: dumbbell: 10 x 50 standing, 20 x 50 seated, supported, 10 x 180 (90 each arm) machine. row: 3 sets of 10 x 110, incline: 10 x 160 (80 each arm) Hammer machine.
That was fine..though I had a hard time catching my breath between sets.
So there you go: reasonably strong in the weight room (by my standards) but just awful at running. And yes, I walked an easy 4 yesterday so I wasn’t tired.
I need to do some steady state 8 milers to get ready to race these.
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