forked from boos/BoosAPI
boos
e0a5f57793
Vendor the rebranded BoosAPI Desktop client (Tauri + Vue) into metapi as a monorepo subdirectory under desktop/. Source only — node_modules, dist, Cargo target and the upstream .git history are excluded. desktop/ keeps its own independent Cargo workspace (desktop/src-tauri with crates/*); it is not part of the backend boosapi crate, so a `cargo check` at the metapi root still compiles only the backend. Build the desktop app from desktop/src-tauri per desktop/README.md. Note: app icons are still placeholder assets pending the final BoosAPI logo. The updater signing keys live outside the repo and are not included.
444 lines
13 KiB
TypeScript
444 lines
13 KiB
TypeScript
export const streamContent = `
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<thinking>
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- markstream-vue playground
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- A Vue 3 component that renders Markdown string content as HTML, supporting custom components and advanced markdown features.
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</thinking>
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>>>I'll create a simple Electron + Vue chat application demo. Here's the structure:
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[Star on GitHub](https://github.com/Simon-He95/markstream-vue)
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<a href="https://simonhe.me/">我是 a 元素标签</a>
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https://github.com/Simon-He95/markstream-vue
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[【Author: Simon】](https://simonhe.me/)
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- **[Link (Test 1)](https://simonhe.me/)**
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**[Link (Test 2)](https://simonhe.me/)**
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**Markdown链接**：
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1. [GitHub官网](https://github.com)
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2. [知乎 - 有问题就会有答案](https://www.zhihu.com)
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3. **加粗链接**：[Google](https://www.google.com)
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4. 嵌套格式的链接：[*斜体链接*](https://example.com)
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**普通链接**：
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1. https://www.wikipedia.org
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2. http://example.com/path?query=test
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3. 纯文本URL：https://markdown-guide.readthedocs.io
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*Figure: Vue Markdown Icon (served from /vue-markdown-icon.svg)*
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这是 ~~已删除的文本~~，这是一个表情 :smile:。
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- [ ] Star this repo
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- [x] Fork this repo
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- [ ] Create issues
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- [x] Submit PRs
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## 表格
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| 姓名 | 年龄 | 职业 |
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|------|------|------|
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| 张三 | 25 | 工程师 |
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| 李四 | 30 | 设计师 |
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| 王五 | 28 | 产品经理 |
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### 对齐表格
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| 左对齐 | 居中对齐 | 右对齐 |
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|:-------|:--------:|-------:|
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| 内容1 | 内容2 | 内容3 |
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| 内容4 | 内容5 | 内容6 |
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我将为您输出泰勒公式的一般形式及其常见展开式。
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---
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## 0. 薛定谔方程（量子力学）
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$$i\\hbar \\frac{\\partial}{\\partial t} \\Psi(\\mathbf{r},t) = \\left[ -\\frac{\\hbar^2}{2m} \\nabla^2 + V(\\mathbf{r},t) \\right] \\Psi(\\mathbf{r},t)$$
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## 1. 泰勒公式（Taylor's Formula）
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### 一般形式（在点 \\(x = a\\) 处展开）：
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\[
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f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + R_n(x)
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\\]
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其中：
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- \\(f^{(k)}(a)\\) 是 \\(f(x)\\) 在 \\(x=a\\\) 处的 \\(k\\) 阶导数
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- \\(R_n(x)\\) 是余项，常见形式有拉格朗日余项：
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\[
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R_n(x) = \frac{f^{(n+1)}(xi)}{(n+1)!}(x-a)^{n+1}, \quad xi \text{ 在 } a \text{ 和 } x \text{ 之间}
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\\]
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---
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## 2. 麦克劳林公式（Maclaurin's Formula，即 \\(a=0\\) 时的泰勒公式）：
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\[
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f(x) = f(0) + f'(0)x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + \cdots + \frac{f^{(n)}(0)}{n!}x^n + R_n(x)
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\\]
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---
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## 3. 常见函数的麦克劳林展开（前几项）
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- **指数函数**：
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\\[
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e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots + \frac{x^n}{n!} + \cdots, \quad x \in \mathbb{R}
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\\]
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- **正弦函数**：
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\\[
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\sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^n \frac{x^{2n+1}}{(2n+1)!} + \cdots
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\\]
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- **余弦函数**：
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\\[
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\cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^n \frac{x^{2n}}{(2n)!} + \cdots
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\\]
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- **自然对数**（在 \\(x=0\\) 附近）：
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\\[
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\ln(1+x) = x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4} + \cdots + (-1)^{n-1} \frac{x^n}{n} + \cdots, \quad -1 < x \le 1
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\\]
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- **二项式展开**（\\( (1+x)^m \\)，\\(m\\) 为实数）：
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\[
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(1+x)^m = 1 + mx + \frac{m(m-1)}{2!}x^2 + \frac{m(m-1)(m-2)}{3!}x^3 + \cdots, \quad |x| < 1
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\\]
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- **矩阵**：
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\\[
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\begin{bmatrix}
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2x_2 - 8x_3 = 8 \\
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5x_1 - 5x_3 = 10
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\end{bmatrix}
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\\]
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- **公式**
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- **代入数据**
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\\[
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\frac{363}{15,\!135} \times 100\% = 2.398\%
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\\]
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- **计算工具验证**
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通过数学计算工具确认结果：
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\`363 ÷ 15,135 × 100 = 2.39841427...\`
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- **差异说明**
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$$E=mc^2$$
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---
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如果您需要某个特定函数在特定点的泰勒展开，请告诉我，我可以为您详细写出。
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::: warning
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这是一个警告块。
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:::
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::: tip 提示标题
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这是带标题的提示。
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:::
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::: error 错误块
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这是一个错误块。
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:::
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مرحبا بكم في عالم اللغة العربية!
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1. First, let's set up the project:
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\`\`\`shellscript
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# Create Vue project
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npm create vue@latest electron-vue-chat
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# Navigate to project
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cd electron-vue-chat
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# Install dependencies
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npm install
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npm install electron electron-builder vue-router
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# Install dev dependencies
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npm install -D electron-dev-server concurrently wait-on
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\`\`\`
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2. Create the main Electron file:
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\`\`\`javascript:electron/main.js
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const { app, BrowserWindow } = require('electron');
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const path = require('path');
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const isDev = process.env.NODE_ENV === 'development';
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let mainWindow;
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function createWindow() {
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mainWindow = new BrowserWindow({
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width: 900,
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height: 680,
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webPreferences: {
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nodeIntegration: true,
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contextIsolation: false
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}
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});
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const url = isDev
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? 'http://localhost:5173'
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: \`file://\${path.join(__dirname, '../dist/index.html')}\`;
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mainWindow.loadURL(url);
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if (isDev) {
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mainWindow.webContents.openDevTools();
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}
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mainWindow.on('closed', () => {
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mainWindow = null;
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});
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}
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app.on('ready', createWindow);
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app.on('window-all-closed', () => {
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if (process.platform !== 'darwin') {
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app.quit();
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}
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});
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app.on('activate', () => {
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if (mainWindow === null) {
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createWindow();
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}
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});
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\`\`\`
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3. Update package.json:
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\`\`\`diff json:package.json
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{
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"name": "markstream-vue",
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"type": "module",
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- "version": "0.0.49",
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+ "version": "0.0.54-beta.1",
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"packageManager": "pnpm@10.16.1",
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"description": "A Vue 3 component that renders Markdown string content as HTML, supporting custom components and advanced markdown features.",
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"author": "Simon He",
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"license": "MIT",
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"repository": {
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"type": "git",
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"url": "git + git@github.com:Simon-He95/markstream-vue.git"
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},
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"bugs": {
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"url": "https://github.com/Simon-He95/markstream-vue/issues"
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},
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"keywords": [
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"vue",
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"vue3",
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"markdown",
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"markdown-to-html",
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"markdown-renderer",
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"vue-markdown",
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"vue-component",
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"html",
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"renderer",
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"custom-component"
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],
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"exports": {
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".": {
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"types": "./dist/types/exports.d.ts",
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"import": "./dist/index.js",
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"require": "./dist/index.cjs"
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},
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"./index.css": "./dist/index.css",
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"./index.tailwind.css": "./dist/index.tailwind.css",
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"./tailwind": "./dist/tailwind.ts"
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},
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"main": "./dist/index.js",
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"module": "./dist/index.js",
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"types": "./dist/types/exports.d.ts",
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"files": [
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"dist"
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],
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}
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\`\`\`
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4. Create chat components \\(diversified languages\\):
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\`\`\`python:src/server/app.py
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from fastapi import FastAPI
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from pydantic import BaseModel
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app = FastAPI()
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class Message(BaseModel):
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sender: str
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text: str
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@app.get("/health")
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def health():
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return {"status": "ok"}
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@app.post("/echo")
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def echo(msg: Message):
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return {"reply": f"Echo: {msg.text}"}
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\`\`\`
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5. Create a native module example \(C++\):
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\`\`\`cpp:src/native/compute.cpp
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#include <bits/stdc++.h>
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using namespace std;
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int fibonacci(int n){
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if(n<=1) return n;
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int a=0,b=1;
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for(int i=2;i<=n;++i){ int c=a+b; a=b; b=c; }
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return b;
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}
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int main(){
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cout << "fib(10)=" << fibonacci(10) << "\n";
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return 0;
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}
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\`\`\`
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6. Update the main App.vue:
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\`\`\`vue:src/App.vue
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<template>
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<router-view />
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<\/template>
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<style>
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* {
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margin: 0;
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padding: 0;
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box-sizing: border-box;
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}
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body {
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font-family: Arial, sans-serif;
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}
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</style>
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\`\`\`
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7. Set up the router:
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\`\`\`javascript:src/router/index.js
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import { createRouter, createWebHistory } from 'vue-router';
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import ChatView from '../views/ChatView.vue';
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const routes = [
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{
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path: '/',
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name: 'chat',
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component: ChatView
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}
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];
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const router = createRouter({
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history: createWebHistory(),
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routes
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});
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export default router;
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\`\`\`
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8. Update main.js:
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\`\`\`javascript:src/main.js
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import { createApp } from 'vue';
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import App from './App.vue';
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import router from './router';
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createApp(App).use(router).mount('#app');
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\`\`\`
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9. Mermaid graphic:
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\`\`\`mermaid
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graph TD
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Kira_Yamato[基拉·大和]
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Lacus_Clyne[拉克丝·克莱因]
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Athrun_Zala[阿斯兰·萨拉]
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Cagalli_Yula_Athha[卡嘉莉·尤拉·阿斯哈]
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Shinn_Asuka[真·飞鸟]
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Lunamaria_Hawke[露娜玛丽亚·霍克]
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COMPASS[世界和平监视组织COMPASS]
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Foundation[芬德申王国]
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Orphee_Lam_Tao[奥尔菲·拉姆·陶]
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%% 节点定义结束，开始定义边
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Kira_Yamato ---|恋人| Lacus_Clyne
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Kira_Yamato ---|挚友| Athrun_Zala
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Kira_Yamato -->|隶属| COMPASS
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Kira_Yamato -->|前辈| Shinn_Asuka
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Lacus_Clyne -->|初代总裁| COMPASS
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Athrun_Zala ---|恋人| Cagalli_Yula_Athha
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Athrun_Zala -.->|协力| COMPASS
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Shinn_Asuka ---|恋人| Lunamaria_Hawke
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Shinn_Asuka -->|隶属| COMPASS
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Lunamaria_Hawke -->|隶属| COMPASS
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COMPASS -->|对立| Foundation
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Orphee_Lam_Tao -->|隶属| Foundation
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Orphee_Lam_Tao -.->|追求| Lacus_Clyne
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\`\`\`
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\`\`\`mermaid
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xychart
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title "销售收入"
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x-axis ["一月", "二月", "三月", "四月", "五月", "六月", "七月", "八月", "九月", "十月", "十一月", "十二月"]
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y-axis "收入" 4000 --> 11000
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line [5000, 6000, 7500, 8200, 9500, 10500, 11000, 10200, 9200, 8500, 7000, 6000]
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\`\`\`
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\`\`\`infographic
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infographic list-row-simple-horizontal-arrow
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data
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items
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- label 步骤 1
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desc 开始
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- label 步骤 2
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desc 进行中
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- label 步骤 3
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desc 完成
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\`\`\`
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---
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# 复杂数学公式
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### 1. **理解 \\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 的含义**
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- \\(\boldsymbol{\alpha}\\) 和 \\(\boldsymbol{\beta}\\) 是三维列向量，因此 \\(\boldsymbol{\alpha}^T \boldsymbol{\beta}\\) 表示它们的点积（内积）。
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- \\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 意味着向量 \\(\boldsymbol{\alpha}\\) 和 \\(\boldsymbol{\beta}\\) 正交（即垂直），因为点积为零表示它们之间的夹角为 90 度。
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### 2. **正交补空间的概念**
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- 在线性代数中，对于一个子空间 \\(W\\)，它的正交补空间（记为 \\(W^\perp\\)）定义为所有与 \\(W\\) 中每个向量正交的向量的集合。即：
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\[
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W^\perp = \{ \mathbf{v} \in \mathbb{R}^3 \mid \mathbf{v} \cdot \mathbf{w} = 0 \text{ 对于所有 } \mathbf{w} \in W \}
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\]
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- 例如，如果 \\(W\\) 是由一个向量 \\(\boldsymbol{\alpha}\\) 张成的一维子空间（即 \\(W = \operatorname{span}\{\boldsymbol{\alpha}\}\\)），那么 \\(W^\perp\\) 就是所有与 \\(\boldsymbol{\alpha}\\) 正交的向量构成的二维平面。
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### 3. **\\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 与正交补空间的联系**
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- 当 \\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 时，这意味着：
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- \\(\boldsymbol{\beta}\\) 属于 \\(\operatorname{span}\{\boldsymbol{\alpha}\}\\) 的正交补空间，即 \\(\boldsymbol{\beta} \in (\operatorname{span}\{\boldsymbol{\alpha}\})^\perp\\)。
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- 同样，\\(\boldsymbol{\alpha}\\) 也属于 \\(\operatorname{span}\{\boldsymbol{\beta}\}\\) 的正交补空间，即 \\(\boldsymbol{\alpha} \in (\operatorname{span}\{\boldsymbol{\beta}\})^\perp\\)。
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- 换句话说，\\(\boldsymbol{\beta}\\) 与 \\(\boldsymbol{\alpha}\\) 张成的直线正交，因此 \\(\boldsymbol{\beta}\\) 位于该直线的垂直平面（即正交补空间）上。反之亦然。
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### 4. **在三维空间中的几何意义**
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- 在三维空间中，如果 \\(\boldsymbol{\alpha}\\) 是一个非零向量，那么 \\(\operatorname{span}\{\boldsymbol{\alpha}\}\\) 是一条通过原点的直线，而它的正交补空间 \\((\operatorname{span}\{\boldsymbol{\alpha}\})^\perp\\) 是一个通过原点且与该直线垂直的平面。
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- \\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 表示 \\(\boldsymbol{\beta}\\) 位于这个垂直平面上。同样，如果 \\(\boldsymbol{\beta}\\) 非零，那么 \\(\boldsymbol{\alpha}\\) 也位于与 \\(\boldsymbol{\beta}\\) 垂直的平面上。
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### 5. **推广到更一般的情况**
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- 如果考虑多个向量，正交补空间的概念可以扩展。例如，如果有一组向量 \\(\{\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \ldots, \boldsymbol{\alpha}_k\}\\)，那么它们的张成子空间 \\(W = \operatorname{span}\{\boldsymbol{\alpha}_1, \ldots, \boldsymbol{\alpha}_k\}\\) 的正交补空间 \\(W^\perp\\) 包含所有与这些向量正交的向量。
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- 在这种情况下，\\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 可以看作 \\(\boldsymbol{\beta}\\) 与 \\(W\\) 正交的一个特例（当 \\(W\\) 只由 \\(\boldsymbol{\alpha}\\) 张成时）。
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总之，\\(\boldsymbol{\alpha}^T \boldsymbol{\beta} = 0\\) 直接体现了正交补空间的关系：它表明一个向量属于另一个向量张成子空间的正交补空间。如果你有更多向量或子空间，这种联系可以进一步深化。
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**示例：** emm\`1-(5)\`、\`3-(3)\`、\`3-(4)\` complex test \`1-(4)\`“heiheihei”中，hello world。
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