Leo Dishman

AI • Space • Mathematics • Physics • Chemistry • Computer ScienceExploring science, technology and the universe through visuals.

[Leo Dishman @WeekendFlowLab]

Remove a square of side b from one of side a, with a>b>0. Rotate and slide the two remaining pieces into a rectangle of height a-b and width a+b. The area stays the same: a^2-b^2=(a-b)(a+b).

[Leo Dishman @WeekendFlowLab]

Complex plasmas mix ionized gas, neutral gas and microscopic particles. These particles can become highly charged, interact strongly and may form plasma crystals. NASA's Oct. 19 ISS update reports crew research into these mixtures.
https://t.co/bDQCTyHXfF

[Leo Dishman @WeekendFlowLab]

Unwind a taut string from a circle. Its free end traces an involute. For radius r and unwinding angle t in radians: x=r(cos t+t sin t), y=r(sin t-t cos t). The straight string length equals the unwound arc length, rt.

[Leo Dishman @WeekendFlowLab]

Compare 1,2,3,4,5 with 1,2,3,4,100: the mean jumps from 3 to 22, while the median stays 3. One extreme value can pull the mean strongly. Check both measures when asking what a typical value looks like.
https://t.co/vUKe7NBqux

[Leo Dishman @WeekendFlowLab]

A point on the rim of a circle rolling without slipping traces a cycloid. With radius r and rotation angle t in radians, its coordinates are x=r(t-sin t), y=r(1-cos t). The animation follows the same point through two arches.

[Leo Dishman @WeekendFlowLab]

Google's Deep Review offers feedback on logic and math in PDFs or plain text. It requires Google sign-in and includes 2 free reviews per week. Treat its findings as checks to investigate; human judgment still matters.
https://t.co/gDDfjwunK4

[Leo Dishman @WeekendFlowLab]

Fill half the remaining square each time: 1/2, 1/4, 1/8... After n steps, the unfilled area is 2^(-n). Every finite step leaves a gap; as n grows without bound, that gap tends to zero and the filled area tends to 1.

[Leo Dishman @WeekendFlowLab]

An optical frequency comb is a ruler for light: its teeth are evenly spaced in frequency. Comparing lasers against these teeth enables precise measurements. A chip-based comb is a step toward portable atomic clocks, not a full clock.
https://t.co/5YRR4NPWIz

[Leo Dishman @WeekendFlowLab]

Satellite data from 2019-2023 tracked over 15,000 Antarctic ice cliffs. Some tall cliffs retreated rapidly, then stabilized. MIT reports height alone misses key controls, including bed shape. This does not settle future sea-level rise.
https://t.co/VtDyCf4OkH

[Leo Dishman @WeekendFlowLab]

Hurricanes can send ripples into the upper atmosphere. NOAA-21 imaged gravity waves from Simon in faint airglow on Oct. 11. Strong updrafts can launch these waves; winds higher up can dissipate them before they become visible.
https://t.co/4toNAUG97N

[Leo Dishman @WeekendFlowLab]

MIT describes VoiceTrace, a prototype that links each summary or recommendation statement to the conversations behind it. A useful AI workflow: keep each claim traceable to its source so people can inspect it.
https://t.co/fUV6Lf4V5L

[Leo Dishman @WeekendFlowLab]

Try this in Python: 0.1 + 0.2 == 0.3 returns False because these decimals are stored as binary approximations. Use import math; math.isclose(0.1 + 0.2, 0.3) to compare approximately. Choose tolerances for your task.
https://t.co/yDvaOzx6TZ

[Leo Dishman @WeekendFlowLab]

Read motion from a spectrum: compare a gas emission line with its known wavelength. For a Doppler shift, redder means gas moving away; bluer means moving toward us. The line's position is a clue to motion, not just color.
https://t.co/aRHWCB2A4h

[Leo Dishman @WeekendFlowLab]

@xiax0603 骨子里带着深深的种族歧视而��

[Leo Dishman @WeekendFlowLab]

NASA announced on Oct. 8 it will expand dual-anonymous review of research proposals to focus on scientific merit. To read such announcements critically, separate stated goals from measured results.
https://t.co/nNBFVWJGaX

[Leo Dishman @WeekendFlowLab]

一个点若速度始终不超过2米/秒，1.5秒内离起点不会超过3米：2×1.5=3。以起点为球心画半径3米的球，就圈住了所有可能位置。这是“可达域”上界。无人机规划器SANDO用类似思路避开移动障碍，还要计入物体尺寸和感知误差；数学安全保证依赖这些假设。
https://t.co/mOhLaHUTX5

[Leo Dishman @WeekendFlowLab]

10月7日，Google将SynthID Detector向全球开放英文版，可检查图片、视频、音频是否来自Google及部分合作方的AI工具。读结果时记住：它检测生成内容中的水印；未检出水印，不等于证明是人类创作。检测来源也不能替代内容事实核查。
https://t.co/W6wKf8IlGp

[Leo Dishman @WeekendFlowLab]

一张纸对折100次，会有多厚？突破可观测宇宙

[Leo Dishman @WeekendFlowLab]

10月6日，2026年诺贝尔物理学奖授予Francis Halzen，表彰其对IceCube及发现天体来源高能中微子的贡献。IceCube把1立方千米南极冰当探测器：中微子偶尔撞上原子核，产生的带电粒子发光；传感器据此追踪来向。它于2011年建成。
https://t.co/epOonQyY2E

[Leo Dishman @WeekendFlowLab]

哈勃1999年的旧光谱带来新线索：白矮星HS 0209+0832大气富含铌等重元素，TESS又测到约4.4天的亮度周期。10月5日《Nature Astronomy》论文提出：这些物质可能来自一颗由恒星晚年抛出物形成、正在流失大气的巨行星。这颗“第二代行星”仍是候选体。
https://t.co/aAkeZncDqg