User contributions for Lfox

6 October 2024

• 07:1007:10, 6 October 2024 diff hist +728‎ N Entropy ‎ Created page with "We should proceed inductively, thinking about entropy in the way that it was initially thought of by people like Clausius, and only then proceeding to Boltzmann's explanation of it in terms of micro-states. == Original version == As background, we start with the fact that there is such a thing as heat, and such a thing as work. They have some interchangeability: You can turn heat into work via an engine (boil water to push a turbine up), and you can turn work into hea..." current Tag: Visual edit
• 06:4206:42, 6 October 2024 diff hist +14‎ m Main Page ‎ →‎All Pages Tag: Visual edit
• 04:4104:41, 6 October 2024 diff hist +297‎ N On a Heuristic Viewpoint Concerning the Production and Transformation of Light ‎ Created page with "These are my notes on Einstein's paper, On a Heuristic Viewpoint Concerning the Production and Transformation of Light, where he explains the photoelectric effect and founds quantum mechanics. I am reading the translation in ''The Dreams that Stuff is Made Of'' by S. Hawking. == Background == ??" current Tag: Visual edit
• 04:2804:28, 6 October 2024 diff hist +119‎ m Main Page ‎ →‎All Pages Tag: Visual edit
• 04:2704:27, 6 October 2024 diff hist +3,228‎ N On the Law of Distribution of Energy in the Normal Spectrum ‎ Created page with "These are my notes on a paper by Max Planck. I am reading the translation in Hawking's book, ''The Dreams that Stuff is Made Of''. == Background == I'm not completely clear on what a blackbody is. One definition: a blackbody is a body that can absorb or emit any frequency of wavelength. Another definition (Hawking's): a blackbody is the light produced by a glowing hot object. I think that the latter definition is better than the former, because it's clearer what it ref..." current Tag: Visual edit
• 02:3202:32, 6 October 2024 diff hist +87‎ m Main Page ‎ →‎All Pages Tag: Visual edit
• 01:4101:41, 6 October 2024 diff hist +13‎ m Coordinate invariance: a manifesto ‎No edit summary current Tag: Visual edit
• 01:3901:39, 6 October 2024 diff hist +56‎ m Main Page ‎ →‎All Pages Tag: Visual edit
• 01:3801:38, 6 October 2024 diff hist +2,519‎ N Coordinate invariance: a manifesto ‎ Created page with "What ''is'' a coordinate system? It is a way of assigning numbers to any point in a given region. The point of a coordinate system is that it allows us to quantitatively describe what is happening to an extended object (at each point of the object). [TODO that second sentence under-sells the value of coordinate systems.] Traditionally, a coordinate system is conceived of as a map <math>R \rightarrow \mathbb{R}^n </math> from the region <math>R</math>, to tuples of <mat..." Tag: Visual edit

22 August 2024

• 15:3215:32, 22 August 2024 diff hist +98‎ m The Limits of Limits ‎No edit summary current Tag: Visual edit
• 15:1015:10, 22 August 2024 diff hist +179‎ m The Limits of Limits ‎ added figure Tag: Visual edit
• 15:0815:08, 22 August 2024 diff hist +81‎ N File:Geodesic vs 40th parallel .png ‎No edit summary current
• 14:4714:47, 22 August 2024 diff hist −236‎ m The Limits of Limits ‎No edit summary Tag: Visual edit
• 14:2014:20, 22 August 2024 diff hist +582‎ The Limits of Limits ‎ →‎Example: tangent lines Tag: Visual edit
• 06:4006:40, 22 August 2024 diff hist +352‎ The Limits of Limits ‎ →‎Example: tangent lines Tag: Visual edit
• 06:0906:09, 22 August 2024 diff hist +915‎ m The Limits of Limits ‎ →‎square root of 2 Tag: Visual edit
• 05:2605:26, 22 August 2024 diff hist +55‎ m Main Page ‎ →‎All Pages Tag: Visual edit
• 05:2405:24, 22 August 2024 diff hist +13,417‎ N The Limits of Limits ‎ Created page with "'''Essay prompt''': Is the idea of 'limit' indispensable? Neutral? A hindrance? I contend that ''some'' concept of limit is indispensable in mathematics, but that one must be very cautious in using standard mathematics' concept of limit. The focus of this essay is mainly negative. I criticize two common attitudes towards limits: the "empiricist" attitude, which believes in effect that we don't need limits at all, and the "rationalist" attitude (the attitude of modern..."
• 05:2005:20, 22 August 2024 diff hist +18‎ Limits (essay) ‎No edit summary current
• 04:4904:49, 22 August 2024 diff hist −5,223‎ Limits (essay) ‎ →‎starting over Tag: Visual edit
• 04:3804:38, 22 August 2024 diff hist +91‎ N File:Pictorial proof of geometric sum.png ‎No edit summary current
• 04:3304:33, 22 August 2024 diff hist +100‎ N File:Limit of circles.png ‎No edit summary current

21 August 2024

• 22:5222:52, 21 August 2024 diff hist +2‎ m Limits (essay) ‎ →‎Fact of reality 2: Tag: Visual edit
• 21:2621:26, 21 August 2024 diff hist +611‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit
• 20:3620:36, 21 August 2024 diff hist +667‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit
• 17:5717:57, 21 August 2024 diff hist +4,829‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit

20 August 2024

• 22:1622:16, 20 August 2024 diff hist +142‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 22:0022:00, 20 August 2024 diff hist +1,168‎ m Limits (essay) ‎ →‎What is a limit? Tag: Visual edit
• 21:1721:17, 20 August 2024 diff hist +323‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 16:5016:50, 20 August 2024 diff hist +2,384‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 15:1515:15, 20 August 2024 diff hist +185‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 00:4000:40, 20 August 2024 diff hist +1,615‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 00:0600:06, 20 August 2024 diff hist +573‎ Limits (essay) ‎No edit summary Tag: Visual edit

19 August 2024

• 23:5623:56, 19 August 2024 diff hist +685‎ Limits (essay) ‎No edit summary Tag: Visual edit: Switched

30 July 2024

• 00:5200:52, 30 July 2024 diff hist +287‎ m Multitude ‎No edit summary Tag: Visual edit
• 00:4900:49, 30 July 2024 diff hist +70‎ m Natural number ‎No edit summary current Tag: Visual edit

21 July 2024

• 04:5204:52, 21 July 2024 diff hist +2,791‎ m Limits (essay) ‎No edit summary Tag: Visual edit
• 03:2203:22, 21 July 2024 diff hist +365‎ N Occam's razor ‎ Created page with "Occam's razor is the principle that if a fact of reality admits multiple valid conceptual identifications, it is preferable identify it using concepts one already has. == Examples == === Kepler's law === Suppose you make some measurements and you find blahblahblah.[TODO] == The traditional concept == The traditional concept of Occam's razor is a mess. It says" current Tag: Visual edit
• 03:0103:01, 21 July 2024 diff hist +20‎ m Main Page ‎No edit summary Tag: Visual edit
• 03:0003:00, 21 July 2024 diff hist +2,647‎ N Limits (essay) ‎ Created page with "'''essay prompt''': Is the idea of 'limit' indispensable? Neutral? A hindrance? I contend that some concept of 'limit' is indispensable in mathematics, physics, and beyond. I will make this case inductively, beginning with an exposition of the facts of reality that gave rise to the need for such a concept, and concluding with a proper definition of 'limit'. [TODO maybe also talk about invalid versions of the concept?] == Fact of reality 1: == The Earth is a sphere, bu..." Tag: Visual edit
• 02:5802:58, 21 July 2024 diff hist +86‎ m Main Page ‎No edit summary Tag: Visual edit

8 July 2024

• 20:2120:21, 8 July 2024 diff hist +3‎ m Sequence ‎ →‎The problem with Cauchy current Tag: Visual edit
• 20:2020:20, 8 July 2024 diff hist +673‎ m Sequence ‎No edit summary Tag: Visual edit
• 20:0920:09, 8 July 2024 diff hist +976‎ Sequence ‎No edit summary Tag: Visual edit
• 18:5218:52, 8 July 2024 diff hist −40‎ m Real number ‎ →‎Examples current Tag: Visual edit
• 18:2518:25, 8 July 2024 diff hist +3,079‎ m E ‎No edit summary current Tag: Visual edit
• 17:2217:22, 8 July 2024 diff hist +757‎ N E ‎ Created page with "'''e''' is the == Geometric interpretation == thumb|" A ray through the unit hyperbola ''x''² − ''y''² = 1 at the point (cosh ''a'', sinh ''a''), where ''a'' is twice the area between the ray, the hyperbola, and the ''x''-axis. For points on the hyperbola below the ''x''-axis, the area is considered negative" [TODO] <math>\cosh(a)</math> and <math>\sinh(a)</math> are the <math>x</math> and <math>y</..." Tag: Visual edit
• 17:2017:20, 8 July 2024 diff hist +276‎ N File:1920px-Hyperbolic functions-2.svg.png ‎No edit summary current
• 17:1017:10, 8 July 2024 diff hist +8‎ m Main Page ‎ →‎All Pages Tag: Visual edit

5 July 2024

• 20:4420:44, 5 July 2024 diff hist +288‎ m Function ‎No edit summary Tag: Visual edit