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Is the era of mathematics research done by humans over?

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The articles  'Why would you ruin your career?': OpenAI claims to have cracked one of math's greatest unsolved problems, but mathematicians allege it played dirty ,  OpenAI fought dirty on career-making math problem, says NYU mathematician , and AI Is Solving Math's Best Problems Faster Than They Can Be Replaced, Terence Tao Warns , make clear that AI poses more than an existential threat to research mathematicians.  The situation is just crazy at this point, but underneath the accusations is a deeper question of whether humans have any future in doing mathematics. The smartphone I carry on my hip today has more computational power than the most powerful computer in existence on the day I was born. While the compute in question used an astronomical sum of money - 22 million dollars worth of tokens - that is at today's capabilities.  Mathematics done by humans has hit an existential crisis. While my emotions side with the human mathematicians and their call for e...

Banana leaf marble ramp conservation of energy

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Wednesday evening banana leaf harvesting was forgotten. Six in the morning in the semi-dark stumbling around in the jungle was the result. Set up really did not get underway until 8:04, with the first ramp in place by 8:20.  This term the steel marbles were used along with the equipment seen above. As was done last summer, the theory preceded the experiment. This term the theory was reflected onto the Smartboard in Desmos. Only after the theory was covered was the experiment explained and demonstrated. This took until 9:00. This approach allows space for a lecture on experiments that confirm or reject a proposed theory. The split in the momentum results for three marbles into five marbles provided an example of how experimental results can differ, but a general consensus solution can be reached even given differing results.  Grace Marie and Bracey hold the meters sticks while Veronica marks the heights. He...

Momentum

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The usual sequence is to set up a demonstration rig of one ruler and six marbles, followed by board directions, predictions, and then distribution of rulers and marbles.  Kayla and Moki: one into five   [Board at end of class] This term the order was inverted and modified. Rulers and marbles were passed out first without any explanation. Students are each given one ruler and nine marbles of a single color. Perhaps color mixes might have been more appropriate. Four into three benefits from marbles of different colors. Trishelle and Trevor: one into five Then the board diagrams were put up and the students were told to experiment. Maileen: two into six There was a number of different results for three marbles into five marbles. The class was polled, individual by individual, and the results tallied on the board. Results included one out, two out, three out, and nine out. Three out pulled the most votes at 14 and was adjudged the consensus answer. ...

4.1 4.2 RipStik run

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The RipStik run returned to the covered walkway after testing out the new health center fall 2025 and the unfinished student center spring 2026. An 81 meter run from LRC to the A building was laid out. This was a cold open on the sidewalk with a note to students ahead of class to meet on the sidewalk. This saved significant time. Initial roll was called on the sidewalk. O meters was at the LRC.  Every three Meyers was marked out to 33 meters in front of faculty office. 51 meters at the junction. 71 at the turn 81 at the A building. Spreadsheet and Desmos  were prepared in advance. The layout worked well to illustrate the linearity present in the first 33 meters. The gaps to 51m, 71, and 81 meters provided a chance for interpolation. This also was very functional when riding the RipStik. the segment into 51 meters allowed for setting up for the slope into 71 meters. Speed increased to 2.25 meters per secon...

3.4 Shape of distributions

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An air conditioner iced up over the weekend and flooded the floor. The in floor electrical outlets presented a potential shock hazard, so MS 150 Statistics moved to A101. A symmetric heap was the predicted shape. Kozel measures Mary Bella Tape measures were used, with one inch under the foot, and then an inch added to measurement. Maireen working on getting measured Data was then recorded on the board by the students. Data on the board. The data on the board was entered into a spreadsheet . A lecture on the possible shapes followed. For the uniform shape a single die was simulated with 100 rolls. This was extended to six die and 500 rolls, the sum of which was nicely normal once the buckets were set to integer values rather than fractional boundaries. 

3.1 into 3.3 Charts

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Monday began with an unshared 3.1 Smartboard fall 2026 spreadsheet. This probably proved confusing and was probably too long. Left insufficient time to demonstrate how to Pareto sort data on the tablet as shared to the Smartboard. Simplification to just census data charts might be more appropriate. Cover when to use a circle chart and when to use a column chart. Wednesday was blue Wednesday. Although black smashed blue two-to-one in a 6-3 blowout. Attire was blue on top, black pants, green t-shirt, red shoes (brick red technically), and brown socks. Which captured the top five, although not only did black beat blue, but brown bested red as well. Still, the top five were arguably well met. Sample size and relative frequency were both brought in by this example.  Wednesday demonstrated nominal level histograms in Google Sheets and wrapped with the multi-term spreadsheet .  Friday ratio level histograms used the marble masses data . The 15 marble ran from 4.6 grams t...