Monthly Archives: February 2012

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No. 50: Walburg Classic 2012 – Race Report

28 February, 2012 3:06 AM / 2 Comments /

Hey everyone,

Last weekend, Said and I traveled to Round Rock to stay with Mark, Bill, and Ken the night before the Walburg Classic. Last year’s race didn’t go so well since I finished dead last, so I had high hopes after getting a pack finish at Mineral Wells. The next day, we woke up at 6:00 AM and headed out to the course to do the usual sign-in, get dressed, warm-up routine before the start. The weather felt a little chilly in the mid-40’s but was otherwise fantastic as there was no rain and barely any wind at all. When I reached the staging area I met up with some of my old teammates from Texas, Marc Granberry and Taylor Richie, with whom I hadn’t ridden in almost 2 years, and I felt really excited since I’d have to race against them this time around. We expressed some concern that the large size of the peloton (92 riders), along with the narrow width of the course, would make it very difficult for any rider to gain position or move up in the pack during the race. In addition, we thought that the presence of the newly-minted Cat 4s who were eager to make an early-season result would make it particularly dangerous when chasing down breakaways.

The race started out at a moderate pace on rolling terrain. I felt a little stale, but I didn’t find it hard to keep up with the pack except for one instance when the rider I was following lost focus during the descent and I had to pick up the pace past 40mph to catch back on, which cost me a little bit of precious energy. The peloton started getting really nervous after that descent – I don’t think any of the riders would find it particularly hard to descend at 40mph but doing it in a pack of 92 riders where you can’t see anything in front of you can be quite daunting, especially when the wind nudges you a little bit from the side as you go down. After that, people started overreacting to the speed fluctuations and any time someone tapped their brakes, the next 10 riders would do the same thing and cause a ripple effect through the back.

When we hit the middle of the first lap, the course became mostly straight and flat and everyone calmed down a little bit. I took the chance to eat a gel and take a breather. At this point of the race I was in the back of the pack and mostly minding my own business. We then took a right turn and the peloton decided to speed it up to 36 mph in an effort to drop the weaker riders in the back. This was definitely one of those moments where I realized one of the hazards of staying in the back – a few of the riders couldn’t hold tempo so I had to leapfrog them in order to regain contact with the pack. One of the masters riders from Violet Crown simply couldn’t accelerate and would lose contact after each corner, but he somehow managed to get back in front of me for the next three turns and I got really annoyed since I didn’t want to be following him during the race. We soon hit the uphill climb at the end of the first lap and we didn’t take it all  that hard – I sustained about 165 bpm for a couple of minutes and my power output didn’t go over 600 watts. In comparison, I reached 171 bpm and output 900 watts of power during that right-hand turn I described earlier.

The second lap felt a lot less stressful than the first lap – I think everyone who survived the first lap had a better feel for the course so they weren’t as anxious the next time around. I caught up to Marc and we chatted a bit on what we thought of the race so far. We agreed that we wouldn’t be able to contest the sprint unless we moved up to the front of the peloton. Unfortunately the field was packed with riders and there wasn’t any room to move up. Whenever somebody lost focus or opened up a gap while eating or drinking, we had to take that opportunity to gain position, but it didn’t happen very often. During the flat section of the course a rider bumped into Said and caused a 7-rider crash as he went down. The last person to fall happened to be right in front of me and I narrowly avoided him and I had to stop and unclip. The riders in the front took advantage of this and immediately picked up the pace to 35 mph. I managed to generate 1016 watts of power trying to catch up to the field – this would be the highest amount of power generated during the race. When the pace settled down, Marc and I found ourselves mid-pack while Said maintained his top-20 position.

The following video shows the crash that happened in the 35+ 4/5 race, which was worse than the crash in our race, but it gives you a glimpse on what it feels like to be riding behind one:

Towards the end of the race Marc and I mostly gave up trying to move up the field. Everyone was trying to move up but no one was willing to give up their place. When the 800 meter uphill sprint started, I was about 50th position and I managed to pass around 15 riders on the way up. A lot of them were blocking the way and I had to work my way around them and that cost me a lot of time. I ended up 33rd, Marc got 66th, Taylor 76th, and Said 10th – a very good result for him.

Ryan Godfrey leads the Cat 4 bunch sprint. You can see Said on the right, I'm on the left.

In terms of physical effort, I thought the race was really easy – there were only a few moments where I had to exert myself but I never felt exhausted or at the limit. When I browsed the TXBRA forums the day afterward, the other riders expressed the same opinion and the hard part about this race was not really about going fast but mostly about gaining and maintaining position within the field. In that sense I think this was an excellent opportunity to learn what that meant and I’m glad I was able to finish the pack again. I started in the back at 92nd and managed to finish the race 33rd, and I think if I started midfield and paid more attention to positioning I could have gotten a better result. Nevertheless, I feel really happy about the way I’m progressing this season and I’m exactly where I want to be. Going back to last season, I dropped 5 minutes into the race but this time I managed to stay with the pack again.

Looking at the data, you can see by raw numbers a big improvement over Mineral Wells:

Heart Rate v.s. Power

Walburg Stats:
Average Speed: 23.1 mph
Average Power: 197 watts
Average Heart Rate: 155 bpm

Mineral Wells Stats:
Average Speed: 22.7 mph
Average Power 178 watts
Average Heart Rate: 145 bpm

The numbers from Mineral Wells are all lower but I felt like I was trying a lot harder during that race. I think part of the reason is because of the altitude – at Mineral Wells, I reached a max elevation of 1100 ft whereas at Walburg I reached a max elevation of 525 ft. The difference in oxygen concentration could have made it better, or perhaps I gained that much fitness over the week, but it was probably a combination of the two. Anyway I’m satisfied with the improvement. You can see the rest of the race data here. I’ve signed up next week for Lago Vista and I think it’ll be really fun since I’m staying in a condo with the rest of my teammates. I’ll be racing the 3/4 race on Saturday which could be a great deal harder. Said convinced me to give it a shot. I plan to just sit in and see if I can finish with the Cat 3 riders. I’ll be racing the 4/5 race on Sunday for the sake of balance.

As a bonus, here’s Brian’s data from the Cat 3 race:

Heart Rate v.s. Speed

Walburg Stats (Brian):
Average Speed: 24.0 mph
Average Heart Rate: 160 bpm
Max Heart Rate: 187 bpm

Brian and 6 other riders went for a late breakaway and he ended up 3rd. That’s very impressive considering that the chances for a successful breakaway were greatly diminished by the lack of wind, along with his race being 50% longer and 1 mph faster than mine. Brian took a chance and he got a great result. He had a frustrating season up until now, but I think this result shows that hard work pays off.

Posted in: Cycling, Logs / Tagged: , ,

No. 49: Mineral Wells Stage Race – Race Report

21 February, 2012 2:09 AM / 2 Comments /

Hey everyone,

My season opener began last Saturday at 5:45 A.M. My teammate, Brian O’Donnell, woke up Erique – one of our friends racing for Bicycle World – and me to go eat breakfast before our races. The forecast was 100% chance of rain all day with a high of 46° F. With that information, I could only think of one thing: no way.

Stage One – Criterium

After breakfast, I spent an hour or so warming up on the trainer inside my hotel room. Erique and Brian came back from their race and gave me a brief reconnaissance of the course: six 90° turns, puddles at every corner, and potholes everywhere within a .6 mile loop. Erique, who had forgotten to bring his shoes to the race, managed to stay in contact with the group on his tennis shoes and, as a mountain biker hilariously went over obstacles on purpose to make things exciting for the people behind him. By the time I left the hotel the rain started pouring down heavily and I arrived at the staging area soaked. I met up with my teammate Said before the start to discuss our strategy and he told me that he would try to ride it out as long as he could. I rode a couple laps before the start and I decided that the course, especially the downhill left-hand turn, posed a safety hazard to both me and my expensive bicycle. If you don’t believe me, here’s what happened at the 2010 MSU Collegiate Criterium.

The four of us brought 6 bikes.

As soon as we started the race, the riders in front jumped the gun and the peloton immediately shattered into chase groups. I tried a couple of laps and I ended up in a chase group of five riders. We collectively decided that it wasn’t worth the effort to keep going, so we sat up and waited until the official pulled us out of the race. I stood around and watched Said, who ended up in a mid-field chase group, complete a handful of laps until he himself got pulled from the race. We met up with Doug Baysinger afterward and he told us that he had a really hard time with the course, even when it was dry last year. He told me that he would just pedal slowly until the official pulled him out (you have to start each stage to continue with the stage race). It felt nice that I wasn’t the only person with that opinion. Now I don’t feel like such a wimp.

Noah Williams races the Cat 2 crit – photo by Lee McDaniel Photography

Stage Two – Time Trial

The second stage consisted of a 7-mile route along highway 337 with three climbs and about 200 ft of elevation gain. I normally don’t feel enthusiastic about time trials but this was the first time I would have detailed statistics such as heart rate and power which I could use as a reference tool. I rode the time trial like I did with my long intervals, trying to maintain 165-170 bpm and around 220-250 watts of power.

Power v.s. HR v.s. Elevation

You can see from the data that I tried way too hard at the beginning – I put in 400 watts for the first minute or so, and this is a very common mistake for young cyclists to make and now the data has confirmed that I’ve also made this mistake – you can see that as the time went on, I struggled to maintain my heart rate and had a started easier I would’ve had more energy for the finish. Anyway – the TT was disappointing as usual – I beat a couple of riders but I really felt disappointed because there was no indication of any improvement over the off-season whatsoever. After Said and I finished the TT, we rode back to the start in the heavy downpour – and by the time we got back we were both shivering like crazy. It felt so much better after we got back to the hotel. Later on we were informed that after the Cat 4 riders finished, the officials cancelled the rest of the day’s races due to hazardous weather conditions.

We used the heater to dry our clothes after each stage

Stage Three – Road Race

I didn’t have any lofty ambitions for the Road Race on Sunday – I just didn’t want to get dropped like I did at all the other races last year so my goal as usual was to not get dropped. Brian encouraged me to aim higher so I said if I managed to stay in contact I would go for the sprint. We all woke up at 5, and headed out to the start. Brian and Erique would start at 7:15 AM and I would start at 8:00 AM. I looked at my thermometer and while the dry weather looked encouraging – the temperature did not – 39° F. After signing in, I sat in Said’s truck in order to stay warm and I didn’t even warm up. I waited until 10 minutes before the start to get ready so I wouldn’t have to stand around outside.

A few miles into the race, I noticed two things – the zipper on one of my shoe covers had become undone so the cover would be flapping around the whole time, and part of my left cleat broke off so I would definitely not be competing for the sprint if I made it to the finish. The pace was easy – we cruised at around 20 mph below 200 watts. Once we reached the first KOM (King of the Mountains), the pace picked up dramatically as there was a prize for the person who made it over the hill first. I struggled to keep up but I didn’t have trouble staying in contact with the pack. After we crested the summit, the peloton accelerated quickly as we wanted to solidify our lead over any dropped riders.

After the KOM and a false flat, the race went downhill for the rest of the lap – no one tried breaking away and we were hitting speeds over 40mph. I became really nervous and it was hard for me to keep my cool while going that fast. I kept a distance of a couple meters from the back and easily regained contact at the end of the first lap.

A couple of riders broke away at the beginning of the second lap. At first, we tried to chase them down, but after some futile attempts to reel them back in, we decided to let them go until we caught them shortly before the second KOM. This time it was especially tough – I was breathing really hard and I nearly blew it! I kept telling myself to keep going. I barely managed to hold on to the wheel of the last rider of the pack and it took so much effort to crank out those last few pedal strokes before the top of the climb. After we crested the summit, rider after rider attacked immediately and I didn’t even get a chance to catch my breath. The section in between the KOM and the downhill portion was a false flat and that dealt a blow to me psychologically as I wanted to take a break so badly. As the attacks continued the peloton would surge and I would lose 5 m or so to the last wheel, but I kept clawing back and I kept telling myself not to give up and to stay in contact at all costs. Even on the downhill portion riders kept trying to break away. As I matched the accelerations I didn’t even pay attention to how I should be handling the bike and I had no problem going down the hill – it’s weird how you sometimes do things better when you don’t think about it.

Anyway it became clear that it was going to be a sprint finish. The pack was so dense that I couldn’t even see the 1 km sign and the only cue I got was when the pack surged toward the finish. I couldn’t contest the sprint because I had broken my left cleat earlier, so I just latched onto the wheel in front of me and hung on to the finish. To my surprise, during the sprint riders dropped like flies and I finished in 20th place out of 55 without sprinting, in the front half of the pack. Said finished somewhere near me, as I had barely passed him before the line.

This was my first indication this year that I’ve been improving. At 2011’s season opener at Walburg, I dropped after 5 minutes, and subsequently dropped during every single race except for Gonzales. This time I stayed in contact and my legs still feel fresh after the off-season. I’m hoping that there’s still plenty of room to expand and I’m really excited for the rest of the season.

I learned a lot of things in this race, in particular:

1. “The difference between getting dropped completely and staying in contact easily might be as little as holding 20 watts for 10 more seconds.” – Someone told me this after I had dropped during Ronde von Manda my rookie season. It wasn’t until now that I realized he was telling the truth. Take a look at the diagram below of the road race. I’ve divided the chart into two rectangles that contain the interval between the KOM and the finish of each lap. You can see from the relative maxima that I tried much harder on the second lap than on the first:

Data from the Road Race

However, you can see that the peaks don’t last very long in terms of duration. I really had to just maintain 600-800 watts in really short bursts – and this is one reason why interval training is so important.

2. When you’re hurting, others are too. Before the finish, I had no idea that the others were hurting. They gave no indication of pain during the KOM and it looked so easy to them that it was intimidating. It wasn’t until the finish when those riders were dropping like crazy that I realized they were even more tired than I was. I think this stresses the importance that you need to keep going, even when you think you’re at the limit.

3. If you don’t stay in the front, you can’t contest the sprint. What I mean is that you have to be in a top 10 position before the 1 km mark. When I was a Cat 5, I was able to sprint from the back of a 50-man pack and finish 3rd at Chappell Hill. I did the same thing at Fort Hood when I sprinted from the back and wound up 7th. You can’t do this in Cat 4 anymore. Everyone there has decent sprinting ability and the jockeying for position on the run-in to the finish is a lot more aggressive. People aren’t as willing to give up their position because they know how important it is, so you have to fight for it.

Teammate Data

My teammates sent me some data today and it’s very interesting. Here’s Brian’s profile from the TT:

Brian's TT Data

You can see that his heart rate was higher all around – this might be due to him being able to maintain a higher heart rate for a longer period of time or biological differences. Anyhow, he took it relatively conservatively at the beginning and on the downhill sections and that allowed him to put in the effort he needed on the final climb. You can see the rest of his data here.

Here’s his data from the Road Race:

Brian's RR Data

From here you can see how much harder the Cat 3 race was compared to Cat 4. He averaged 23.1 mph as opposed to 22.7 for me, and his HR stayed in the higher bands for longer periods of time. You can see the rest of his data here.

Here’s Said’s Road Race data. He’s one of my teammates in Cat 4:

Said's RR Data

Now this is interesting because Said and I raced together. I should probably find a way to get the axes to line up but it looks like we have similar data in terms of averages. My heart rate looks a lot more erratic because I kept falling off the back.

I had a lot of fun this weekend! I think the trip was totally worth it. I’ve got Walburg tentatively lined up for next weekend, so we’ll see how that goes.

PS: – I failed at my reading goals from last week. I made it most of the way with the Actuarial material but none of the way with Algebra. More on that later.

Posted in: Cycling, Logs / Tagged: , , ,

No. 48: Setting up a Self-Study Course in Mathematics

14 February, 2012 3:52 AM / Leave a Comment /

Hey everyone,

I’ve got my first race coming up next weekend at Mineral Wells and I’m really looking forward to driving and spending the weekend there with my teammates. I originally planned to race in support of my teammate Said, who got a top-6 result in an early race, but due to some registration issues he couldn’t make it, so it looks like I’ll have to race alone in my category (EDIT: Said was finally able to register, so I plan to ride in support.). While I feel stronger than I did at the beginning of last year, I didn’t prepare as well as I should have so I don’t have any intention of winning, but I have to get myself racing in order to test the waters and gauge my level of fitness. I just weighed myself yesterday and, to my surprise, I gained 13 pounds over the off-season! I currently weigh 141 pounds compared to 128 pounds in November. Some of that gain came from muscle mass as I’ve consistently weight trained since then and set some new personal records:

Squat: 210 lb. 5×5
Bench: 135 lb. 5×5
Deadlift: 190 lb. 1×5
Overhead: 95 lb. 5×5
Barbell Row: 115 lb. 5×5
Power Clean: 115 lb. 3×5

Unfortunately, a lot of that weight gain came from an improper diet, as during exam time I would get so busy and order fast food to give myself more time to study. I didn’t kick the habit over the winter months and it looks like I’ve paid the price. I’d like to lose around 6 pounds and 135 would be an ideal weight. I want to go on a diet, but on the other hand I have a lot of races coming up so I need enough fuel to perform well. First – I need to stop eating fast food. Second – the races will help me shed some weight but if that doesn’t happen I’ll start counting calories. So far I’ve only reached 7 hours of weekly riding and I plan to push it to 9 or 10 hours/week, and I’m currently going for 8 this week. Hopefully this will do the trick. We’ll see.

Last week I said I wanted to set up an organized schedule for the study of mathematics. I want to learn so many things but I’ve come to realize that I definitely won’t live long enough to learn everything I want to learn. I contemplated following this guide which I think sets out a solid course of study for the foundations of mathematics and seems like something I can finish before I die. Back in the 1920’s you could actually learn all of mathematics in about 80 books – something certainly doable back in the day. However, the field of mathematics has exploded and branched out in all sorts of different directions and you really have to just pick a specialty and stick with it. So far I’ve decided to master these books:

1. College Algebra
2. Geometry
3. Trigonometry
4. Calculus
5. Linear Algebra
6. Discrete Mathematics
7. Calculus

before heading into the guide full-steam. However, I also have to continue my actuarial studies, and I’ve found it hard to balance these two goals simultaneously. Last fall, I wound up falling behind in both these areas because I didn’t have a structured course of study. In a panic, I ditched all the algebra and put all my efforts into MLC, and thankfully passed. Since then, I’ve only intermittently studied algebra and each time I go back to it, I get the same feeling I get when I’d take a week off from viola – extreme rustiness. Over the 10 years I spent playing viola and the 2 years I’ve spent cycling, I’ve realized that the most important thing you need to get good is to have a clear goal in mind and to stay consistent. With consistency, you can overcome some of the flaws in your preparation – as no method is perfect for everyone – if we knew of one, it’d be so easy, right? For example, if you watch videos of your favorite musicians or athletes, you’ll see that many of them perform phenomenally well despite their lack of “proper” technique (for example, Soler’s riding form, Heifetz’s bow hold, Reggie Miller’s shot). It’s evident that no one way works for everyone, and that there are many ways to reach a goal. You have to stay persistent, try several avenues, learn from failure, and see what works.

This year really marks the first year that I’m taking math as seriously as I did viola. I think if I can finally put in some consistency I’ll learn some really neat things. Although I said there’s more than one way to reach a goal, there are a lot of wrong ways you can take while trying to get there and that’s why I’ve contemplated hiring a mentor to help guide my studies. Teachers can’t tell you everything but experienced ones are quick to identify your mistakes, and that can expedite the learning process. In my experience, the best ones won’t tell you exactly what’s wrong, but they’ll give you hints or ask you questions as to why you took the approach you did (for example, when trying to solve a problem), and when you try to answer you realize you did something wrong and that you should have done it some other way, and that other way often turns out to be right way. In this way, they teach you to think independently.

When I learned math in school, I really just did enough to get good grades and not much more. I enjoyed it in elementary school but in intermediate school something really killed my interest. I don’t want to blame my teachers but I didn’t get one that actually majored in math until my junior year of high school. She was pretty good, but I think she sensed the general apathy in her students, and may have been worn out after years and years of dealing with both that and the administration. Most of the teachers seem to have only learned enough math to pass their certification exams which doesn’t say much at all about their ability. I feel like it would be extremely advantageous to have someone who took abstract algebra, or maybe even just discrete math to teach teenagers their first course dealing with symbolic mathematics. It wasn’t until college when I took a very challenging first-year calculus course that I became interested again, and not until my third year when I started to learn what mathematicians actually did, and how they made conjectures and proofs. I think if kids these days (or most primary and secondary math teachers, for that matter) actually knew what mathematicians did for a living they’d be a lot more interested in learning mathematics.

My goal for now is to read 10 pages a day for actuarial work, and then do one section a week for algebra. I plan to go faster later on, but I haven’t even reached this level of consistency so I have to at least get that down before I get more ambitious. For this week, it’s simple. Read 70 pages of actuarial work and do 1 section of algebra, and then report back here next week to see if I’m successful.

I’d like to close my post with a simple spreadsheet I created to keep track of my tasks. When I devote a lot of time to study, I tend to slack off on my “maintenance” tasks and things get so messy around here it’s hard to walk around without bumping into something. This spreadsheet lists various chores I need to do, and after I complete each task, I write down the date and it automatically calculates when I need to do it again. It also automatically changes color to green, yellow, or red to indicate if something has been recently done, needs to be done soon, or has been overdue.

A Simple Planner Spreadsheet.

You can see that there’s a lot of red – not good.

Posted in: Logs

No. 47: Setting Priorities and Meeting Goals

7 February, 2012 4:49 AM / 1 Comment /

Hey everyone,

Back in high school a few of my friends and I once jokingly asked ourselves which one of us would die first, and I think everyone else pointed at me. A few years later during college I found out that one of them had gotten kidnapped and subsequently murdered after attending a party, so now it’s not so funny. Her death was the first in my immediate social circle, and it made me think a lot about my own mortality but I don’t think it really sunk in until I graduated and started working. Since then only a handful of others have left and I feel really fortunate to have almost all of my friends with me right now. During one of my readings of Norman Davies’ history of Europe, I learned that people had to deal with death a lot more often and that it wasn’t uncommon for only 2 out of 10 of your kids to survive to adulthood. I imagine that you’d have to value your time more seriously when you have to live your life with the ever-present specter of death lurking around the corner. I think a lot of kids these days don’t take their lives seriously because many of them won’t see their first death until their mid 20’s, and it’s not until then that they realize there’s a very real possibility of not being able to accomplish their dreams before they die. In this case I can’t help but think about all those hours I wasted sitting in front of the television, playing video games, or reading my Facebook news feed. Sometimes, when I go home I’ll immediately log on to Facebook or the read the news when I should be studying instead, only to realize three hours later that I’ve wasted my time and have to go to bed. Then, in an effort to frantically catch up with my studies, I’ll stay up late and be tired the next day since I didn’t get enough sleep the night before. I’m already in my mid 20s and I’m not a kid anymore, and I’ve realized that I can’t afford to waste time like this anymore and I have to set my priorities straight. I hope by documenting this here, I can create a more organized framework for my goals and be able to meet them more effectively.

About 4 years ago, I tried to limit my TV watching after going overboard with free media from my university. Each day, I kept track of the number of hours of TV I watched but I didn’t really get consistent at avoiding television until last year. Actually a more accurate statement would be that I did enjoy some long stretches of time without much TV but I would always go back to watching a lot of television over a long period of time, but this past year and a half has been my most consistent period. The image below shows some data and a couple of charts keeping track of my television time:

TV Log

You can see from the second chart that the cumulative average in terms of hours of TV watched has steadily decreased since October 2010. Last year, I totaled 68 hours of TV, compared to 986 hours for the average American. So, the average American watches about 15 times as much television as I do. That’s so much time that you could otherwise spend with your family, read books, exercise, or whatever. I don’t have a TV so it’s nice not having to pay a cable bill, though I do watch a couple shows on Hulu each week. Anyway, the file contains a lot of other data about myself, from the number of hours I can hold perfect posture, the number of hours I study each day, the number of hours I sleep each day, the amount of fruits and vegetables I eat, etc. I convert data from each of these individual logs to a point system and aggregate them into a discipline “index” which gives me an overall picture of how disciplined I am:

Discipline Index

You can see from the chart that I haven’t been all that consistent over the last year and a half and that there’s a big drop from January to March of last year. That was when I was interviewing for jobs and also when I caught a nasty flu which meant I couldn’t do much of anything at that time. While this approach gives me a good reference, I haven’t been good at making or keeping goals, so this year I plan to do just that. One of the things I tried to do starting late last year was to improve one aspect about myself each month. For each day within that month, if I met my goal, I would add a point to the index. I first started out trying to sleep at least 7 hours a day, and that went well for the first month, but when I tried to limit the amount of news I read during the next month I kind of stopped trying and lost track of myself. This month, I aim to record data consistently each day because sometimes I forget to record data for a few days at a time, so by doing it every day I can record my data more accurately.

On the bright side, I’ve kept up with my New Year’s resolution so far into February. It feels a lot longer than one month but I’m glad I stuck to it so far. Next week I’ll write about the same thing, and about some more detailed goals concerning mathematics.

Posted in: Logs