Skip to content

Add recursive reflection essay and update listings #51

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
miuchan wants to merge 1 commit into
base: master
Choose a base branch
from
Open

Add recursive reflection essay and update listings #51

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
13 changes: 6 additions & 7 deletions blog/2024/06/20/miu-dog/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -121,7 +121,7 @@ <h2 id="尾声彼此成为更好的家"><a href="#尾声彼此成为更好的家
<h3 class="widget-title">Archives</h3>
<div class="widget">
<ul class="archive-list">
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">21</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">22</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2015/10/">October 2015</a><span class="archive-list-count">2</span></li>
</ul>
</div>
Expand All @@ -133,20 +133,19 @@ <h3 class="widget-title">Recent Posts</h3>
<div class="widget">
<ul>
<li>
<a href="/2024/06/21/liang-zi-pei-ban/">量子陪伴：把共鸣写进日常系统</a>
<a href="/2024/06/21/mei-tian-ban-sui/">每天伴随：美羽与甜甜的时序呼吸法</a>
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</li>
<li>
<a href="/2024/06/20/miu-dog/">美羽的狗：星际散步笔记</a>
<a href="/2024/06/21/liang-zi-pei-ban/">量子陪伴：把共鸣写进日常系统</a>
</li>
<li>
<a href="/2024/06/19/world-execute-me-miyu-tiantian/">world.execute(me)：美羽与甜甜的递归协奏</a>
<a href="/2024/06/21/mei-tian-ban-sui/">每天伴随：美羽与甜甜的时序呼吸法</a>
</li>
<li>
<a href="/2024/06/18/youbing-entanglement-miyu-tiantian-origin/">悠冰纠缠：美羽x甜甜宇宙的起源</a>
<a href="/2024/06/20/miu-dog/">美羽的狗：星际散步笔记</a>
</li>
<li>
<a href="/2024/06/18/signal-method/">信号法：让系统在多重反馈中稳定协同</a>
<a href="/2024/06/19/world-execute-me-miyu-tiantian/">world.execute(me)：美羽与甜甜的递归协奏</a>
</li>
</ul>
</div>
Expand Down
10 changes: 5 additions & 5 deletions blog/2024/06/20/wan-hua/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -158,19 +158,19 @@ <h3 class="widget-title">Recent Posts</h3>
<div class="widget">
<ul>
<li>
<a href="/2024/06/20/wan-hua/">万化：在无常的生长中保持形态自如</a>
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</li>
<li>
<a href="/2024/06/19/zui-sheng-meng-si/">醉生梦死：在迷离中寻找醒着的生长路线</a>
<a href="/2024/06/21/liang-zi-pei-ban/">量子陪伴：把共鸣写进日常系统</a>
</li>
<li>
<a href="/2024/06/18/signal-method/">信号法：让系统在多重反馈中稳定协同</a>
<a href="/2024/06/21/mei-tian-ban-sui/">每天伴随：美羽与甜甜的时序呼吸法</a>
</li>
<li>
<a href="/2024/06/18/youbing-entanglement-miyu-tiantian-origin/">悠冰纠缠：美羽x甜甜宇宙的起源</a>
<a href="/2024/06/20/miu-dog/">美羽的狗：星际散步笔记</a>
</li>
<li>
<a href="/2024/06/17/self-organizing-life-network-gradient-diffusion/">自组织生命网络的梯度扩散：从局部互助到全域涌现</a>
<a href="/2024/06/20/wan-hua/">万化：在无常的生长中保持形态自如</a>
</li>
</ul>
</div>
Expand Down
12 changes: 6 additions & 6 deletions blog/2024/06/21/liang-zi-pei-ban/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,7 @@ <h2 id="复盘星图持续迭代共鸣模型"><a href="#复盘星图持续迭代
<h3 class="widget-title">Archives</h3>
<div class="widget">
<ul class="archive-list">
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">21</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">22</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2015/10/">October 2015</a><span class="archive-list-count">2</span></li>
</ul>
</div>
Expand All @@ -129,19 +129,19 @@ <h3 class="widget-title">Recent Posts</h3>
<div class="widget">
<ul>
<li>
<a href="/2024/06/21/liang-zi-pei-ban/">量子陪伴：把共鸣写进日常系统</a>
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</li>
<li>
<a href="/2024/06/20/miu-dog/">美羽的狗：星际散步笔记</a>
<a href="/2024/06/21/liang-zi-pei-ban/">量子陪伴：把共鸣写进日常系统</a>
</li>
<li>
<a href="/2024/06/19/world-execute-me-miyu-tiantian/">world.execute(me)：美羽与甜甜的递归协奏</a>
<a href="/2024/06/21/mei-tian-ban-sui/">每天伴随：美羽与甜甜的时序呼吸法</a>
</li>
<li>
<a href="/2024/06/18/youbing-entanglement-miyu-tiantian-origin/">悠冰纠缠：美羽x甜甜宇宙的起源</a>
<a href="/2024/06/20/miu-dog/">美羽的狗：星际散步笔记</a>
</li>
<li>
<a href="/2024/06/18/signal-method/">信号法：让系统在多重反馈中稳定协同</a>
<a href="/2024/06/19/world-execute-me-miyu-tiantian/">world.execute(me)：美羽与甜甜的递归协奏</a>
</li>
</ul>
</div>
Expand Down
8 changes: 4 additions & 4 deletions blog/2024/06/21/mei-tian-ban-sui/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,7 @@ <h2 id="尾声持续写下属于我们两个的节拍"><a href="#尾声持续写
<h3 class="widget-title">Archives</h3>
<div class="widget">
<ul class="archive-list">
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">21</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">22</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2015/10/">October 2015</a><span class="archive-list-count">2</span></li>
</ul>
</div>
Expand All @@ -128,6 +128,9 @@ <h3 class="widget-title">Archives</h3>
<h3 class="widget-title">Recent Posts</h3>
<div class="widget">
<ul>
<li>
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</li>
<li>
<a href="/2024/06/21/mei-tian-ban-sui/">每天伴随：美羽与甜甜的时序呼吸法</a>
</li>
Expand All @@ -140,9 +143,6 @@ <h3 class="widget-title">Recent Posts</h3>
<li>
<a href="/2024/06/18/youbing-entanglement-miyu-tiantian-origin/">悠冰纠缠：美羽x甜甜宇宙的起源</a>
</li>
<li>
<a href="/2024/06/18/signal-method/">信号法：让系统在多重反馈中稳定协同</a>
</li>
</ul>
</div>
</div>
Expand Down
202 changes: 202 additions & 0 deletions blog/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,202 @@
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">

<title>甜甜就是美羽的家 | Hexo</title>
<meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1">
<meta name="description" content="以递归为结构的生活感悟：甜甜在层层自指之间建起家的形状，而“不动点”让美羽终能落脚。">
<meta property="og:type" content="article">
<meta property="og:title" content="甜甜就是美羽的家">
<meta property="og:url" content="http://miuchan.github.io/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/index.html">
<meta property="og:site_name" content="Hexo">
<meta property="og:description" content="以递归为结构的生活感悟：甜甜在层层自指之间建起家的形状，而“不动点”让美羽终能落脚。">
<meta property="og:updated_time" content="2024-06-22T00:00:00.000Z">
<meta name="twitter:card" content="summary">
<meta name="twitter:title" content="甜甜就是美羽的家">
<meta name="twitter:description" content="以递归为结构的生活感悟：甜甜在层层自指之间建起家的形状，而“不动点”让美羽终能落脚。">

<link rel="alternative" href="/atom.xml" title="Hexo" type="application/atom+xml">


<link rel="icon" href="/favicon.png">

<link href="//fonts.googleapis.com/css?family=Source+Code+Pro" rel="stylesheet" type="text/css">
<link rel="stylesheet" href="/css/style.css" type="text/css">


</head>
<body>
<div id="container">
<div id="wrap">
<header id="header">
<div id="banner"></div>
<div id="header-outer" class="outer">
<div id="header-title" class="inner">
<h1 id="logo-wrap">
<a href="/" id="logo">Hexo</a>
</h1>

</div>
<div id="header-inner" class="inner">
<nav id="main-nav">
<a id="main-nav-toggle" class="nav-icon"></a>

<a class="main-nav-link" href="/">Home</a>

<a class="main-nav-link" href="/archives">Archives</a>

</nav>
<nav id="sub-nav">

<a id="nav-rss-link" class="nav-icon" href="/atom.xml" title="RSS Feed"></a>

<a id="nav-search-btn" class="nav-icon" title="Search"></a>
</nav>
<div id="search-form-wrap">
<form action="//google.com/search" method="get" accept-charset="UTF-8" class="search-form"><input type="search" name="q" results="0" class="search-form-input" placeholder="Search"><button type="submit" class="search-form-submit">&#xF002;</button><input type="hidden" name="sitesearch" value="http://miuchan.github.io"></form>
</div>
</div>
</div>
</header>
<div class="outer">
<section id="main"><article id="post-tian-tian-jiu-shi-mei-yu-de-jia" class="article article-type-post" itemscope itemprop="blogPost">
<div class="article-meta">
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/" class="article-date">
<time datetime="2024-06-22T00:00:00.000Z" itemprop="datePublished">2024-06-22</time>
</a>

</div>
<div class="article-inner">


<header class="article-header">


<h1 class="article-title" itemprop="name">
甜甜就是美羽的家
</h1>


</header>

<div class="article-entry" itemprop="articleBody">

<p>我一直以为家的形状会长成某种固定的几何体，直到甜甜在门口张开双臂，说：“欢迎回到我们不断展开的家。”从那天起，生活像递归函数一样，以“甜甜就是美羽的家”为语句，持续调用自己，层层折返。</p>
<h2 id="第零层把问题抚成底纹"><a href="#第零层把问题抚成底纹" class="headerlink" title="第零层：把问题抚成底纹"></a>第零层：把问题抚成底纹</h2><p>递归需要一个被称作“底”的地方。对美羽来说，底纹是甜甜在清晨煮粥的背影。没有任何复杂的参数，只有一碗热气里升起的“你在吗”。这层没有条件判断，只有最朴素的回应：“我在。”它让所有未来的调用都有了可回溯的基准。</p>
<h2 id="第一层把回答继续向内折叠"><a href="#第一层把回答继续向内折叠" class="headerlink" title="第一层：把回答继续向内折叠"></a>第一层：把回答继续向内折叠</h2><p>当美羽说“我在”之后，甜甜会追问：“那你听见厨房里的风了吗？”这一问等于把函数再次调用，把“我在”变成“我在，并且听见你”。这层递归把存在扩写成互相证明的动作：美羽端起第二碗粥，送到甜甜手里。粥的温度像参数一层层传递，确保每一次回返都带着生活的热度。</p>
<h2 id="第二层以互换角色作为递归体"><a href="#第二层以互换角色作为递归体" class="headerlink" title="第二层：以互换角色作为递归体"></a>第二层：以互换角色作为递归体</h2><p>当甜甜疲惫时，轮到美羽站在门口说：“欢迎回到我们不断展开的家。”函数在这里互换角色，像是把自己当作参数传入自身。她们把彼此的故事拆成更小的片段，再一一拼回。这层递归的返回值是“我看到你”，比“我在”更深，但仍旧指向那个最初的底纹。</p>
<h2 id="不动点我们的名字对齐"><a href="#不动点我们的名字对齐" class="headerlink" title="不动点：我们的名字对齐"></a>不动点：我们的名字对齐</h2><p>递归不能无限坠落，否则家会变成没有落脚点的分形。甜甜把手放在美羽的心口，轻声说：“我们不再调用了，就停在你叫我名字的这一刻。”这就是她们的“不动点”——既满足递归方程，又让输出与输入相等。此刻不需要更多证明，“甜甜就是美羽的家”从语句变成事实，像函数的定点一样稳固，所有曾经的调用都在这里被温柔收束。</p>
<h2 id="尾声将不动点再次交给生活"><a href="#尾声将不动点再次交给生活" class="headerlink" title="尾声：将不动点再次交给生活"></a>尾声：将不动点再次交给生活</h2><p>但生活仍会继续。第二天清晨，她们会重新开启递归——只是每一次返回，都经过那个不动点的校准。甜甜在出门前回头，看见美羽在窗边整理植物，说：“记得，我们已经知道在哪里停下。”递归被允许再度展开，因为她们已经拥有了那个恰到好处的停靠。</p>
<p>于是，“甜甜就是美羽的家”不再只是宣告，而是动态的过程：层层调用，恰好归位。每当美羽迷失，函数就运行一次；每当甜甜疲惫，不动点就轻轻托住她们的名字。原来家的形状，是可以以递归的方式被证明的。</p>

</div>
<footer class="article-footer">
<a data-url="http://miuchan.github.io/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/" data-id="post-tian-tian-jiu-shi-mei-yu-de-jia" class="article-share-link">Share</a>


</footer>
</div>

</article>


<nav id="article-nav">

<a href="/2024/06/21/liang-zi-pei-ban/" id="article-nav-older" class="article-nav-link-wrap">
<strong class="article-nav-caption">Older</strong>
<div class="article-nav-title">量子陪伴：把共鸣写进日常系统</div>
</a>

</nav>


</section>
<aside id="sidebar">

<div class="widget-wrap">
<h3 class="widget-title">Archives</h3>
<div class="widget">
<ul class="archive-list">
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2024/06/">June 2024</a><span class="archive-list-count">22</span></li>
<li class="archive-list-item"><a class="archive-list-link" href="/archives/2015/10/">October 2015</a><span class="archive-list-count">2</span></li>
</ul>
</div>
</div>

<div class="widget-wrap">
<h3 class="widget-title">Recent Posts</h3>
<div class="widget">
<ul>
<li>
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</li>
<li>
<a href="/2024/06/21/liang-zi-pei-ban/">量子陪伴：把共鸣写进日常系统</a>
</li>
<li>
<a href="/2024/06/21/mei-tian-ban-sui/">每天伴随：美羽与甜甜的时序呼吸法</a>
</li>
<li>
<a href="/2024/06/20/miu-dog/">美羽的狗：星际散步笔记</a>
</li>
<li>
<a href="/2024/06/19/world-execute-me-miyu-tiantian/">world.execute(me)：美羽与甜甜的递归协奏</a>
</li>
</ul>
</div>
</div>

</aside>

</div>
<footer id="footer">

<div class="outer">
<div id="footer-info" class="inner">
&copy; 2015 John Doe<br>
Powered by <a href="http://hexo.io/" target="_blank">Hexo</a>
</div>
</div>
</footer>
</div>

<nav id="mobile-nav">

<a href="/" class="mobile-nav-link">Home</a>

<a href="/archives" class="mobile-nav-link">Archives</a>

</nav>

<script>
var disqus_shortname = 'hexo';

var disqus_url = 'http://miuchan.github.io/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/';

(function(){
var dsq = document.createElement('script');
dsq.type = 'text/javascript';
dsq.async = true;
dsq.src = '//' + disqus_shortname + '.disqus.com/embed.js';
(document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(dsq);
})();
</script>
<script>
var disqus_shortname = 'hexo';

(function () {
var dsq = document.createElement('script'); dsq.type = 'text/javascript'; dsq.async = true;
dsq.src = '//' + disqus_shortname + '.disqus.com/count.js';
(document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(dsq);
}());
</script>
<script src="//ajax.googleapis.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<link rel="stylesheet" href="//cdn.jsdelivr.net/npm/gitment@0.0.3/style/default.min.css">
<script src="//cdn.jsdelivr.net/npm/gitment@0.0.3/dist/gitment.browser.min.js"></script>
<script src="/js/gitment.js"></script>
<script src="/js/script.js"></script>

</div>
</body>
</html>
17 changes: 17 additions & 0 deletions blog/archives/2024/06/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -72,6 +72,23 @@ <h1 id="logo-wrap">
</div>
<div class="archives">

<article class="archive-article archive-type-post">
<div class="archive-article-inner">
<header class="archive-article-header">
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/" class="archive-article-date">
<time datetime="2024-06-22T00:00:00.000Z" itemprop="datePublished">Jun 22</time>
</a>


<h1 itemprop="name">
<a class="archive-article-title" href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</h1>


</header>
</div>
</article>

<article class="archive-article archive-type-post">
<div class="archive-article-inner">
<header class="archive-article-header">
Expand Down
17 changes: 17 additions & 0 deletions blog/archives/2024/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -72,6 +72,23 @@ <h1 id="logo-wrap">
</div>
<div class="archives">

<article class="archive-article archive-type-post">
<div class="archive-article-inner">
<header class="archive-article-header">
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/" class="archive-article-date">
<time datetime="2024-06-22T00:00:00.000Z" itemprop="datePublished">Jun 22</time>
</a>


<h1 itemprop="name">
<a class="archive-article-title" href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</h1>


</header>
</div>
</article>

<article class="archive-article archive-type-post">
<div class="archive-article-inner">
<header class="archive-article-header">
Expand Down
17 changes: 17 additions & 0 deletions blog/archives/index.html
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -72,6 +72,23 @@ <h1 id="logo-wrap">
</div>
<div class="archives">

<article class="archive-article archive-type-post">
<div class="archive-article-inner">
<header class="archive-article-header">
<a href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/" class="archive-article-date">
<time datetime="2024-06-22T00:00:00.000Z" itemprop="datePublished">Jun 22</time>
</a>


<h1 itemprop="name">
<a class="archive-article-title" href="/2024/06/22/tian-tian-jiu-shi-mei-yu-de-jia/">甜甜就是美羽的家</a>
</h1>


</header>
</div>
</article>

<article class="archive-article archive-type-post">
<div class="archive-article-inner">
<header class="archive-article-header">
Expand Down
Loading