https://echo.ishian.me/posts/Recent content in Posts on IshianHugoenMon, 14 Sep 2026 10:28:22 +0000https://echo.ishian.me/2026/09/14/redis-ha-redlock/Mon, 14 Sep 2026 10:28:22 +0000https://echo.ishian.me/2026/09/14/redis-ha-redlock/讲解Redis主从复制、Sentinel、Cluster高可用架构及Redlock分布式锁原理https://echo.ishian.me/2026/08/27/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84-b-%E6%A0%91/Thu, 27 Aug 2026 15:05:37 +0000https://echo.ishian.me/2026/08/27/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84-b-%E6%A0%91/讲解B+树的结构原理、插入删除操作及其在数据库索引中的应用https://echo.ishian.me/2026/08/25/outbox/Tue, 25 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/25/outbox/讲解Outbox模式如何解决数据库与消息队列双写不一致，实现可靠事件投递https://echo.ishian.me/2026/08/18/go-template/Tue, 18 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/18/go-template/介绍 Go 模板的基本概念、action 与管道、条件循环等语法及执行方式https://echo.ishian.me/2026/08/16/helm/Sun, 16 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/16/helm/介绍 Helm 的核心概念、Chart 结构、常用命令与模板语法https://echo.ishian.me/2026/08/16/k8s-production-tricks/Sun, 16 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/16/k8s-production-tricks/总结 Kubernetes 生产环境的优雅停机、探针调优、HPA 冲突等配置技巧https://echo.ishian.me/2026/08/16/plg/Sun, 16 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/16/plg/介绍Prometheus+Loki+Grafana可观测体系的组成、配置与服务发现等核心用法https://echo.ishian.me/2026/08/16/plg-alert/Sun, 16 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/16/plg-alert/记录用git+helm+CI部署PLG监控栈到Kubernetes并把告警送达飞书群的实践https://echo.ishian.me/2026/08/15/nvim-lsp-server/Sat, 15 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/15/nvim-lsp-server/介绍从零实现最小可用 LSP Server 的生命周期、补全与 stdio 传输层https://echo.ishian.me/2026/08/14/github-actions/Fri, 14 Aug 2026 00:00:00 +0000https://echo.ishian.me/2026/08/14/github-actions/讲解GitHub Actions的核心概念、Workflow与Job的YAML配置及CI/CD实践https://echo.ishian.me/2026/04/20/k8s/Mon, 20 Apr 2026 00:00:00 +0000https://echo.ishian.me/2026/04/20/k8s/介绍 Kubernetes 核心概念与 Pod、Service、Ingress 等资源的常用字段https://echo.ishian.me/2026/04/10/cronjob-go/Fri, 10 Apr 2026 15:41:31 +0000https://echo.ishian.me/2026/04/10/cronjob-go/讲解基于k8s CronJob和Go自建调度器的定时任务实现方案与代码示例https://echo.ishian.me/2025/12/31/go-sqlx/Wed, 31 Dec 2025 14:22:06 +0000https://echo.ishian.me/2025/12/31/go-sqlx/介绍 sqlx 库连接数据库、查询帮助函数、Stmt 与事务管理的用法https://echo.ishian.me/2025/12/30/go-log/Tue, 30 Dec 2025 15:43:40 +0000https://echo.ishian.me/2025/12/30/go-log/介绍 Go log 标准库与 zap、lumberjack 的日志配置和使用https://echo.ishian.me/2025/12/30/go-gin-session/Tue, 30 Dec 2025 15:20:05 +0000https://echo.ishian.me/2025/12/30/go-gin-session/介绍 Gin 中基于 session 和 JWT 的会话管理实现与相关 APIhttps://echo.ishian.me/2025/12/30/go-serializing/Tue, 30 Dec 2025 08:50:23 +0000https://echo.ishian.me/2025/12/30/go-serializing/介绍 Go 中 JSON、XML、YAML、Protobuf 等格式的序列化 API 与特性https://echo.ishian.me/2025/12/28/go-gin-middleware/Sun, 28 Dec 2025 17:24:12 +0000https://echo.ishian.me/2025/12/28/go-gin-middleware/讲解Gin中间件的实现原理、Next调用链机制及全局与局部中间件的注册方式https://echo.ishian.me/2025/12/28/go-gin-response/Sun, 28 Dec 2025 14:03:18 +0000https://echo.ishian.me/2025/12/28/go-gin-response/讲解Gin的各种响应方法及JSON、文件上传下载等响应与表单处理https://echo.ishian.me/2025/12/27/go-gin-validator/Sat, 27 Dec 2025 22:31:56 +0000https://echo.ishian.me/2025/12/27/go-gin-validator/介绍 validator 库的结构体标签语法、常用校验规则与验证 APIhttps://echo.ishian.me/2025/12/27/go-gin-router/Sat, 27 Dec 2025 14:58:39 +0000https://echo.ishian.me/2025/12/27/go-gin-router/讲解Gin基于httprouter的路由原理、路径参数捕获及路由绑定与分组方法https://echo.ishian.me/2025/12/27/go-viper/Sat, 27 Dec 2025 14:58:39 +0000https://echo.ishian.me/2025/12/27/go-viper/介绍 Viper 的配置优先级、读取与访问配置及动态监控配置变化https://echo.ishian.me/2025/12/25/go-netprog/Thu, 25 Dec 2025 11:39:18 +0000https://echo.ishian.me/2025/12/25/go-netprog/介绍 Go net/http 包的服务端、客户端、反向代理等网络编程用法https://echo.ishian.me/2025/12/25/go-concurrent/Thu, 25 Dec 2025 11:37:57 +0000https://echo.ishian.me/2025/12/25/go-concurrent/讲解Go的协程、channel通信、sync包同步原语及select多路复用https://echo.ishian.me/2025/12/25/go-iterator/Thu, 25 Dec 2025 11:37:27 +0000https://echo.ishian.me/2025/12/25/go-iterator/介绍 Go 的 range 机制、推拉式迭代器函数与标准库迭代器及流式处理https://echo.ishian.me/2025/12/25/go-io/Thu, 25 Dec 2025 11:37:22 +0000https://echo.ishian.me/2025/12/25/go-io/介绍 Go 标准库 os、io 与 io/fs 的文件操作和 I/O 接口https://echo.ishian.me/2025/12/25/go-error/Thu, 25 Dec 2025 11:37:12 +0000https://echo.ishian.me/2025/12/25/go-error/讲解Go的error、panic、fatal错误级别划分及if err != nil错误处理设计https://echo.ishian.me/2025/12/25/go-generics/Thu, 25 Dec 2025 11:37:04 +0000https://echo.ishian.me/2025/12/25/go-generics/讲解Go 1.18引入的类型集、泛型参数约束及泛型函数与泛型类型的用法https://echo.ishian.me/2025/12/24/go-map/Wed, 24 Dec 2025 18:13:26 +0000https://echo.ishian.me/2025/12/24/go-map/介绍 Go 映射表 map 的创建、增删改查、遍历及 maps 工具库https://echo.ishian.me/2025/12/24/go-strings/Wed, 24 Dec 2025 18:13:16 +0000https://echo.ishian.me/2025/12/24/go-strings/介绍 Go 字符串特性以及 strings、strconv 包的常用操作https://echo.ishian.me/2025/12/24/go-slice/Wed, 24 Dec 2025 18:09:34 +0000https://echo.ishian.me/2025/12/24/go-slice/介绍 Go 切片的创建、切割、扩容机制、常用操作与 slices 标准库https://echo.ishian.me/2025/12/24/go-composition/Wed, 24 Dec 2025 13:50:12 +0000https://echo.ishian.me/2025/12/24/go-composition/讲解Go的函数声明、方法接收者、接口与结构体的组合及嵌入机制https://echo.ishian.me/2025/12/23/go-beginner/Tue, 23 Dec 2025 22:48:43 +0000https://echo.ishian.me/2025/12/23/go-beginner/讲解Go的包管理、变量声明、控制流与基本数据类型等入门语法https://echo.ishian.me/2025/12/03/compilers-syntax/Wed, 03 Dec 2025 00:00:00 +0000https://echo.ishian.me/2025/12/03/compilers-syntax/讲解文法分类、上下文无关文法、二义性与左递归消除及语法分析方法https://echo.ishian.me/2025/12/02/compilers-lexical/Tue, 02 Dec 2025 00:00:00 +0000https://echo.ishian.me/2025/12/02/compilers-lexical/介绍编译过程概览与词法分析，包括正则表达式、NFA与DFA自动机https://echo.ishian.me/2025/11/28/stat-unsupervise-learning/Fri, 28 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/28/stat-unsupervise-learning/介绍无监督学习方法：主成分分析降维及K均值与系统聚类https://echo.ishian.me/2025/11/27/stat-svm/Thu, 27 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/27/stat-svm/讲解支持向量机的最大间隔分类器、软间隔与核函数原理https://echo.ishian.me/2025/11/26/pytorch-dataprocess/Wed, 26 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/26/pytorch-dataprocess/讲解Dataset、IterableDataset与DataLoader的封装方式及采样批处理参数https://echo.ishian.me/2025/11/26/rlang-beginner/Wed, 26 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/26/rlang-beginner/记录R语言统计学习常用函数：线性回归、广义线性模型与预测分析https://echo.ishian.me/2025/11/25/stat-tree-models/Tue, 25 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/25/stat-tree-models/介绍回归树与分类树的建树剪枝方法及装袋、随机森林、提升等集成模型https://echo.ishian.me/2025/11/24/stat-nlinear-models/Mon, 24 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/24/stat-nlinear-models/介绍非线性回归方法：多项式回归、回归样条、光滑样条与GAMhttps://echo.ishian.me/2025/11/20/stat-estimate/Thu, 20 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/20/stat-estimate/讲解测试误差的估计方法：交叉验证、留一法与自助法及自举推断https://echo.ishian.me/2025/11/20/stat-var-selection/Thu, 20 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/20/stat-var-selection/讲解变量选择方法：子集选择、逐步回归及Lasso与Ridge压缩估计https://echo.ishian.me/2025/11/18/stat-classification/Tue, 18 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/18/stat-classification/整理统计学习分类方法：逻辑回归、判别分析与K近邻等分类模型https://echo.ishian.me/2025/11/17/stat-linear-regression/Mon, 17 Nov 2025 00:00:00 +0000https://echo.ishian.me/2025/11/17/stat-linear-regression/讲解简单与多元线性回归的最小二乘估计、显著性检验及模型评价指标https://echo.ishian.me/2025/08/20/linux-kernel/Wed, 20 Aug 2025 00:00:00 +0000https://echo.ishian.me/2025/08/20/linux-kernel/介绍 Linux 内核的系统内存管理、软件程序管理等核心功能https://echo.ishian.me/2025/07/18/deeplearning-convlayer/Fri, 18 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/18/deeplearning-convlayer/讲解卷积层的稀疏交互、参数共享、平移等变特性及卷积运算的具体结构https://echo.ishian.me/2025/07/16/java-mybatis/Wed, 16 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/16/java-mybatis/介绍 MyBatis 的 SqlSessionFactory 与 SqlSession 接口的使用https://echo.ishian.me/2025/07/15/deeplearning-fclayer/Tue, 15 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/15/deeplearning-fclayer/讲解全连接层的结构、前向传播与反向传播的梯度计算公式https://echo.ishian.me/2025/07/14/spring-security/Mon, 14 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/14/spring-security/介绍Spring Security的用法https://echo.ishian.me/2025/07/14/spring-validation/Mon, 14 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/14/spring-validation/介绍Spring原生Validator接口、Errors错误处理及Bean Validation集成用法https://echo.ishian.me/2025/07/14/deeplearning-simplenn/Mon, 14 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/14/deeplearning-simplenn/讲解前馈神经网络的基本结构、前向传播与反向传播原理及梯度下降优化https://echo.ishian.me/2025/07/12/spring-mvc/Sat, 12 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/12/spring-mvc/讲解Spring MVC的前端控制器模式、DispatcherServlet配置与请求处理流程https://echo.ishian.me/2025/07/11/java-bean-validation/Fri, 11 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/11/java-bean-validation/介绍 Jakarta Bean Validation 的验证注解、验证器与 Hibernate 扩展https://echo.ishian.me/2025/07/09/java-jpa/Wed, 09 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/09/java-jpa/介绍 Jakarta Persistence API 的核心组件与基于注解的 ORM 配置https://echo.ishian.me/2025/07/09/deeplearning-activefuncs/Wed, 09 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/09/deeplearning-activefuncs/讲解激活函数的作用与要求，介绍Sigmoid、Tanh、ReLU及其变体等常见激活函数https://echo.ishian.me/2025/07/08/java-tomcat/Tue, 08 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/08/java-tomcat/介绍 Tomcat 结构、web.xml 与注解映射及内嵌 Tomcat 的用法https://echo.ishian.me/2025/07/06/spring-data-jpa/Sun, 06 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/06/spring-data-jpa/介绍Spring Data JPA的用法https://echo.ishian.me/2025/07/06/deeplearning-lossaregular/Sun, 06 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/06/deeplearning-lossaregular/讲解回归与分类任务的常用损失函数及其极大似然推导，以及正则化方法https://echo.ishian.me/2025/07/05/java-servlet/Sat, 05 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/05/java-servlet/介绍 Servlet 接口体系、Session/Cookie、Filter 与 Listener 等 Web 组件https://echo.ishian.me/2025/07/04/spring-core-resource/Fri, 04 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/04/spring-core-resource/介绍Spring Resource资源抽象接口、实现类与ResourceLoader加载机制https://echo.ishian.me/2025/07/03/spring-core-ioc/Thu, 03 Jul 2025 00:00:00 +0000https://echo.ishian.me/2025/07/03/spring-core-ioc/讲解Spring IoC容器的控制反转与依赖注入思想及常用注解配置https://echo.ishian.me/2025/06/18/db-review/Wed, 18 Jun 2025 00:00:00 +0000https://echo.ishian.me/2025/06/18/db-review/数据库课程期末复习笔记，涵盖三级模式、SQL、范式、事务与并发控制等知识点https://echo.ishian.me/2025/06/17/docker/Tue, 17 Jun 2025 16:36:12 +0000https://echo.ishian.me/2025/06/17/docker/讲解docker-compose.yml的常用配置项及使用Compose进行多容器部署的方法https://echo.ishian.me/2025/06/11/os-review/Wed, 11 Jun 2025 00:00:00 +0000https://echo.ishian.me/2025/06/11/os-review/操作系统期末复习提纲，梳理启动流程、进程内存文件设备管理与同步等核心考点https://echo.ishian.me/2025/06/11/algo-tree-point-dac/Wed, 11 Jun 2025 00:00:00 +0000https://echo.ishian.me/2025/06/11/algo-tree-point-dac/讲解点分治处理树上路径统计问题的分治结构、找重心与合并过程https://echo.ishian.me/2025/06/10/os-filesystem/Tue, 10 Jun 2025 00:00:00 +0000https://echo.ishian.me/2025/06/10/os-filesystem/介绍操作系统文件的结构、访问模式、目录结构与文件系统设计https://echo.ishian.me/2025/06/03/os-memory/Tue, 03 Jun 2025 00:00:00 +0000https://echo.ishian.me/2025/06/03/os-memory/整理操作系统内存管理：地址绑定、连续分配与页式、段式、段页式管理及虚存保护https://echo.ishian.me/2025/06/02/java-jdbc/Mon, 02 Jun 2025 00:00:00 +0000https://echo.ishian.me/2025/06/02/java-jdbc/介绍传统 JDBC 及 JPA、Spring JDBC、MyBatis 等数据库访问方式https://echo.ishian.me/2025/05/30/algo-descartes-tree/Fri, 30 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/30/algo-descartes-tree/讲解笛卡尔树的定义、性质、单调栈O(n)建树方法及其在连续区间问题中的应用https://echo.ishian.me/2025/05/24/java-reflection/Sat, 24 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/24/java-reflection/介绍 Java 反射 API 的学习笔记https://echo.ishian.me/2025/05/19/wsl/Mon, 19 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/19/wsl/介绍WSL2的原理、与虚拟机软件的对比及安装配置方法https://echo.ishian.me/2025/05/17/java-multithreading/Sat, 17 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/17/java-multithreading/介绍 Java 多线程编程的 Thread、Runnable、线程同步与线程池https://echo.ishian.me/2025/05/10/java-net/Sat, 10 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/10/java-net/介绍 Java TCP/UDP 套接字、HTTP 客户端与异步网络编程及 RMIhttps://echo.ishian.me/2025/05/05/probability-rdnvar/Mon, 05 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/05/probability-rdnvar/汇总常见离散与连续随机变量的分布、期望与方差推导及高阶矩结论https://echo.ishian.me/2025/05/04/java-stream-api/Sun, 04 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/04/java-stream-api/介绍 Java 匿名类、lambda 表达式与流式 API 等函数式编程特性https://echo.ishian.me/2025/05/03/comp-networking-datalinklayer/Sat, 03 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/03/comp-networking-datalinklayer/讲解数据链路层的成帧、差错检测、MAC协议及CSMA/CD、CSMA/CA等多路访问控制机制https://echo.ishian.me/2025/05/02/rust-beginner/Fri, 02 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/02/rust-beginner/介绍Rust基本语法：语句与表达式、控制流、所有权与借用等入门概念https://echo.ishian.me/2025/05/01/comp-networking-trsflayer/Thu, 01 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/01/comp-networking-trsflayer/讲解可靠数据传输原理、停等/GBN/SR协议及TCP报文格式、连接管理与拥塞控制https://echo.ishian.me/2025/05/01/comp-networking-iplayer/Thu, 01 May 2025 00:00:00 +0000https://echo.ishian.me/2025/05/01/comp-networking-iplayer/讲解网络层功能、IPv4地址分类与报文格式、IP分片及NAT、DHCP等协议https://echo.ishian.me/2025/04/30/algo-tree-lca/Wed, 30 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/30/algo-tree-lca/介绍LCA的性质、朴素算法与倍增算法的原理和实现https://echo.ishian.me/2025/04/30/algo-tree-gravity/Wed, 30 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/30/algo-tree-gravity/讲解树的重心的定义与性质，并给出DFS求重心的O(n)算法实现https://echo.ishian.me/2025/04/26/algo-string-manacher/Sat, 26 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/26/algo-string-manacher/给出Manacher算法求最长回文子串的完整代码实现https://echo.ishian.me/2025/04/22/algo-prime-selection/Tue, 22 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/22/algo-prime-selection/讲解埃氏筛与欧拉筛两种质数筛法的原理、实现及时间复杂度https://echo.ishian.me/2025/04/20/sql-std/Sun, 20 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/20/sql-std/介绍SQL基本语法：数据类型、表的增删改查及约束与查询子句用法https://echo.ishian.me/2025/04/20/algo-math-ext-euler-theorem/Sun, 20 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/20/algo-math-ext-euler-theorem/陈述并证明扩展欧拉定理，用于快速模幂中不互素情形的降幂https://echo.ishian.me/2025/04/20/comp-networking-applayer/Sun, 20 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/20/comp-networking-applayer/介绍应用层体系结构及HTTP等应用层协议的原理与报文格式https://echo.ishian.me/2025/04/18/comp-networking-profile/Fri, 18 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/18/comp-networking-profile/介绍计算机网络的性能指标、时延与丢包概念及OSI、TCP/IP分层体系结构https://echo.ishian.me/2025/04/17/java-io/Thu, 17 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/17/java-io/介绍 Java IO 流体系与 nio、nio2 的 Buffer、Channel 等用法https://echo.ishian.me/2025/04/10/java-collection/Thu, 10 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/10/java-collection/介绍 Java 包装类、数组、字符串与集合框架等常用数据结构https://echo.ishian.me/2025/04/10/algo-linked-forward-star/Thu, 10 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/10/algo-linked-forward-star/讲解对顶堆的组成与维护方式，用于动态求解序列中第k小元素https://echo.ishian.me/2025/04/10/algo-minmax-heap/Thu, 10 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/10/algo-minmax-heap/讲解对顶堆的组成与维护方式，用于动态求解序列中第k小元素https://echo.ishian.me/2025/04/10/algo-recursive-segment-tree/Thu, 10 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/10/algo-recursive-segment-tree/讲解递归式线段树的结构、建树、懒标记与区间修改、区间查询的实现https://echo.ishian.me/2025/04/07/algo-fastio/Mon, 07 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/07/algo-fastio/介绍算法竞赛中基于getchar与fread的快读快写模板及其原理https://echo.ishian.me/2025/04/04/java-exception/Fri, 04 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/04/java-exception/介绍 Java 异常的分类、实质与异常处理方式https://echo.ishian.me/2025/04/03/os-process/Thu, 03 Apr 2025 00:00:00 +0000https://echo.ishian.me/2025/04/03/os-process/整理操作系统进程管理：进程组成与PCB、进程状态转换、调度、同步与通信机制https://echo.ishian.me/2025/03/19/algo-prefix-sum/Wed, 19 Mar 2025 00:00:00 +0000https://echo.ishian.me/2025/03/19/algo-prefix-sum/介绍一维与二维前缀和的原理、性质、原地实现及差分应用场景https://echo.ishian.me/2025/03/19/algo-fenwick-tree/Wed, 19 Mar 2025 00:00:00 +0000https://echo.ishian.me/2025/03/19/algo-fenwick-tree/讲解树状数组的基本结构、lowbit原理、区间查询与单点修改的实现及适用范围https://echo.ishian.me/2025/03/18/java-generics/Tue, 18 Mar 2025 00:00:00 +0000https://echo.ishian.me/2025/03/18/java-generics/介绍 Java 泛型声明、通配符、限定符与泛型继承规则https://echo.ishian.me/2025/03/06/java-oop/Thu, 06 Mar 2025 00:00:00 +0000https://echo.ishian.me/2025/03/06/java-oop/介绍 Java 数据类型、运算符、构造器、接口与注解等面向对象基础https://echo.ishian.me/2025/03/04/java-base/Tue, 04 Mar 2025 00:00:00 +0000https://echo.ishian.me/2025/03/04/java-base/介绍 Java 包管理、修饰符、关键字与标识符声明等基本语法https://echo.ishian.me/2025/02/21/algo-bin-01tire/Fri, 21 Feb 2025 00:00:00 +0000https://echo.ishian.me/2025/02/21/algo-bin-01tire/介绍01字典树的原理与实现，并以树上异或路径最大值问题为例给出代码https://echo.ishian.me/2025/02/11/algo-graph-scc/Tue, 11 Feb 2025 00:00:00 +0000https://echo.ishian.me/2025/02/11/algo-graph-scc/给出Tarjan算法求解有向图强连通分量并缩点建图的完整代码实现https://echo.ishian.me/2025/02/10/os-structure/Mon, 10 Feb 2025 00:00:00 +0000https://echo.ishian.me/2025/02/10/os-structure/介绍操作系统的本质、内核层次划分、功能模块与系统调用等基本概念https://echo.ishian.me/2025/01/20/python-argparse/Mon, 20 Jan 2025 00:00:00 +0000https://echo.ishian.me/2025/01/20/python-argparse/讲解argparse库的解析器、位置参数与可选参数等CLI开发用法https://echo.ishian.me/2025/01/18/python-pandas/Sat, 18 Jan 2025 00:00:00 +0000https://echo.ishian.me/2025/01/18/python-pandas/介绍Pandas的Series与DataFrame结构及数据清洗、读取导出等常用APIhttps://echo.ishian.me/2025/01/15/pytorch-tensor/Wed, 15 Jan 2025 00:00:00 +0000https://echo.ishian.me/2025/01/15/pytorch-tensor/介绍Pytorch张量的属性、创建方式、维度操作及常用运算方法https://echo.ishian.me/2025/01/11/linux-infos/Sat, 11 Jan 2025 00:00:00 +0000https://echo.ishian.me/2025/01/11/linux-infos/介绍使用 Bash 命令监控进程、磁盘空间等系统信息的方法https://echo.ishian.me/2025/01/07/algo-game-fairgames/Tue, 07 Jan 2025 00:00:00 +0000https://echo.ishian.me/2025/01/07/algo-game-fairgames/讲解公平组合游戏的必胜必输状态判定，并推导巴什博弈与Nim游戏的结论https://echo.ishian.me/2024/12/09/algo-graph-minimum-spanning-tree/Mon, 09 Dec 2024 00:00:00 +0000https://echo.ishian.me/2024/12/09/algo-graph-minimum-spanning-tree/从图论基础与图的存储讲起，介绍最小生成树的概念及Prim、Kruskal等算法https://echo.ishian.me/2024/12/06/coa-arithmetic-operations/Fri, 06 Dec 2024 00:00:00 +0000https://echo.ishian.me/2024/12/06/coa-arithmetic-operations/讲解计算机中数据的表示与存储、定点数原反补码及加减乘除运算的实现https://echo.ishian.me/2024/11/26/algo-trick-offline-query/Tue, 26 Nov 2024 00:00:00 +0000https://echo.ishian.me/2024/11/26/algo-trick-offline-query/介绍离线查询技巧的思想，并结合例题讲解排序后配合树状数组的求解方式https://echo.ishian.me/2024/11/16/algo-hashmap/Sat, 16 Nov 2024 00:00:00 +0000https://echo.ishian.me/2024/11/16/algo-hashmap/介绍哈希函数的设计原则、常见哈希算法及哈希表的原理、冲突处理与实现https://echo.ishian.me/2024/11/15/physics-quantum/Fri, 15 Nov 2024 00:00:00 +0000https://echo.ishian.me/2024/11/15/physics-quantum/整理量子物理：黑体辐射、光电效应、物质波与薛定谔方程等基础概念https://echo.ishian.me/2024/11/14/matlab-beginner/Thu, 14 Nov 2024 00:00:00 +0000https://echo.ishian.me/2024/11/14/matlab-beginner/介绍 MATLAB 基本语法、常用命令与向量矩阵算术操作https://echo.ishian.me/2024/11/01/concretemath-special-coefficient/Fri, 01 Nov 2024 00:00:00 +0000https://echo.ishian.me/2024/11/01/concretemath-special-coefficient/讲解二项式系数的性质、母函数运算及第二类斯特林数等特殊系数https://echo.ishian.me/2024/10/23/algo-string-kmpmatch/Wed, 23 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/23/algo-string-kmpmatch/从暴力匹配的不足出发，讲解KMP算法的前后缀原理与next数组的求法应用https://echo.ishian.me/2024/10/19/physics-relativity/Sat, 19 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/19/physics-relativity/整理狭义相对论：洛伦兹变换、时空观修正与相对论力学的基本结论https://echo.ishian.me/2024/10/16/concretemath-rounding/Wed, 16 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/16/concretemath-rounding/讲解上下取整函数的性质、区间整数计数、谱系划分及均分分组等应用https://echo.ishian.me/2024/10/14/physics-elec-induction/Mon, 14 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/14/physics-elec-induction/整理电磁感应：法拉第定律、动生与感生电动势、自感互感及磁场能量https://echo.ishian.me/2024/10/11/physics-magnetic-field/Fri, 11 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/11/physics-magnetic-field/整理恒定磁场：毕奥-萨伐尔定律、安培环路定理及洛伦兹力与霍尔效应https://echo.ishian.me/2024/10/06/physics-electrostatic-field/Sun, 06 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/06/physics-electrostatic-field/整理静电场：库仑定律、电场强度、高斯定理、电势及导体与电介质https://echo.ishian.me/2024/10/03/physics-classic-force/Thu, 03 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/03/physics-classic-force/整理经典力学：质点运动描述、牛顿定律、参考系与伽利略变换及守恒定律https://echo.ishian.me/2024/10/02/concretemath-summation/Wed, 02 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/02/concretemath-summation/讲解和式的表示方法与清单法、求和因子法、扰动法等求和技巧及多重和式https://echo.ishian.me/2024/10/02/algo-ufs/Wed, 02 Oct 2024 00:00:00 +0000https://echo.ishian.me/2024/10/02/algo-ufs/介绍并查集的原理、合并与查询操作、路径压缩与按秩合并优化https://echo.ishian.me/2024/09/27/discretemath-abstract-algebra/Fri, 27 Sep 2024 00:00:00 +0000https://echo.ishian.me/2024/09/27/discretemath-abstract-algebra/讲解半群、群、子群、循环群及环、域等近世代数结构的定义与性质https://echo.ishian.me/2024/09/21/concretemath-recursion/Sat, 21 Sep 2024 00:00:00 +0000https://echo.ishian.me/2024/09/21/concretemath-recursion/讲解递归函数与数学归纳法，分析汉诺塔、直线划分平面等经典递归问题https://echo.ishian.me/2024/09/19/algo-bin-beginner/Thu, 19 Sep 2024 00:00:00 +0000https://echo.ishian.me/2024/09/19/algo-bin-beginner/整理位运算的基础知识，包括常用内建函数、与或异或运算性质及常用技巧https://echo.ishian.me/2024/09/07/vim/Sat, 07 Sep 2024 00:00:00 +0000https://echo.ishian.me/2024/09/07/vim/介绍Vim的模式体系、常用编辑命令与配置入门https://echo.ishian.me/2024/08/07/discretemath-algebra-system/Wed, 07 Aug 2024 00:00:00 +0000https://echo.ishian.me/2024/08/07/discretemath-algebra-system/讲解代数系统的定义、二元运算的性质及幺元、零元、逆元等特殊元素https://echo.ishian.me/2024/08/04/html-beginner/Sun, 04 Aug 2024 00:00:00 +0000https://echo.ishian.me/2024/08/04/html-beginner/介绍 HTML 标记语言的基本概念与常用输入输出标签https://echo.ishian.me/2024/08/04/deeplearning-beginner/Sun, 04 Aug 2024 00:00:00 +0000https://echo.ishian.me/2024/08/04/deeplearning-beginner/介绍机器学习基础概念，包括模型评价标准、过拟合与欠拟合、数据集划分等https://echo.ishian.me/2024/07/15/cpp-effective-moderncpp-reaction/Mon, 15 Jul 2024 00:00:00 +0000https://echo.ishian.me/2024/07/15/cpp-effective-moderncpp-reaction/记录Effective Modern C++中初始化、引用限定符、智能指针与移动语义等要点https://echo.ishian.me/2024/06/30/cpp-qt-database/Sun, 30 Jun 2024 00:00:00 +0000https://echo.ishian.me/2024/06/30/cpp-qt-database/介绍数据库基础概念、SQL常用语法及使用Qt进行数据库连接与操作的方法https://echo.ishian.me/2024/06/27/cpp-qt-beginner/Thu, 27 Jun 2024 00:00:00 +0000https://echo.ishian.me/2024/06/27/cpp-qt-beginner/介绍Qt Widgets基础、元对象系统、信号与槽机制及事件处理等核心概念https://echo.ishian.me/2024/06/12/git/Wed, 12 Jun 2024 00:00:00 +0000https://echo.ishian.me/2024/06/12/git/介绍Git版本管理的基本概念、三个区域、文件状态及常用命令操作https://echo.ishian.me/2024/05/31/linearalgebra-rank/Fri, 31 May 2024 00:00:00 +0000https://echo.ishian.me/2024/05/31/linearalgebra-rank/介绍矩阵秩的性质及其在向量组与线性方程组中的应用https://echo.ishian.me/2024/05/20/linearalgebra-analytic-geometry/Mon, 20 May 2024 00:00:00 +0000https://echo.ishian.me/2024/05/20/linearalgebra-analytic-geometry/介绍向量的线性表示与运算、平面/空间直线方程及二次曲面https://echo.ishian.me/2024/05/14/linearalgebra-determinant/Tue, 14 May 2024 00:00:00 +0000https://echo.ishian.me/2024/05/14/linearalgebra-determinant/介绍行列式的结论与特殊行列式、消零等运算技巧https://echo.ishian.me/2024/05/11/linearalgebra-matrix/Sat, 11 May 2024 00:00:00 +0000https://echo.ishian.me/2024/05/11/linearalgebra-matrix/介绍矩阵的概念、运算、转置、分块与初等变换https://echo.ishian.me/2024/05/04/analog-circuit/Sat, 04 May 2024 00:00:00 +0000https://echo.ishian.me/2024/05/04/analog-circuit/整理模拟电路基础，涵盖电路分析方法、二极管三极管及放大电路等元件特性https://echo.ishian.me/2024/05/03/games-turingcomplete/Fri, 03 May 2024 00:00:00 +0000https://echo.ishian.me/2024/05/03/games-turingcomplete/记录数电游戏图灵完备的通关笔记，从基础逻辑门逐步搭建处理器架构https://echo.ishian.me/2024/04/29/discretemath-graph/Mon, 29 Apr 2024 00:00:00 +0000https://echo.ishian.me/2024/04/29/discretemath-graph/讲解图的基本概念、度数、路径回路、连通性及欧拉图与哈密尔顿图等图论基础https://echo.ishian.me/2024/04/23/calculus-multivar-diff/Tue, 23 Apr 2024 00:00:00 +0000https://echo.ishian.me/2024/04/23/calculus-multivar-diff/讲解多元函数的二重极限、连续性、偏导与全微分及其应用https://echo.ishian.me/2024/04/22/discretemath-set/Mon, 22 Apr 2024 00:00:00 +0000https://echo.ishian.me/2024/04/22/discretemath-set/讲解集合的基本概念、运算、笛卡尔积、关系与函数等集合论知识https://echo.ishian.me/2024/04/20/calculus-diff-equation/Sat, 20 Apr 2024 00:00:00 +0000https://echo.ishian.me/2024/04/20/calculus-diff-equation/讲解常微分方程的基本概念与分离变量法等初等解法，并附例题https://echo.ishian.me/2024/04/19/discretemath-mathamatic-logic/Fri, 19 Apr 2024 00:00:00 +0000https://echo.ishian.me/2024/04/19/discretemath-mathamatic-logic/讲解命题逻辑与谓词逻辑的基本概念、等价公式及推理规则https://echo.ishian.me/2024/04/17/calculus-series-exercise/Wed, 17 Apr 2024 00:00:00 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