HPM Note4, Schema Optimization and Indexing

[b]Choosing Optimal Data Types[/b]
Smaller is usually better
Simple is good
Avoid NULL if possible

[b]Indexing Basics[/b]
Indexes are implemented in the storage engine layer, not the server layer

B-Tree indexes is the default index type of MySQL
B-Trees store the indexed columns in order, they're usefull for searching for ranges of data
B-Tree indexes work well for lookups by the full key value, a key range, or a key prefix
B-Tree limitations:
1. They are not usefull if the lookup does not start from the leftmost side of the indexed columns
2. You can't skip columns in the index
3. The storage engine can't optimize accesses with any columns to the right of the first range condition

Hash indexes
Hash index is built on a hash table and is useful only for exact lookups that use every column in the index
For each row, the storage engine computes a hash code of the indexed columns, which is a small value that will probably differ from the hash codes computed for other rows with different key values
It stores the hash codes in the index and stores a pointer to each row in a hash table
Hash indexes are the default index type for Memory tables in MySQL
Hash index limitations:
1. Index contains only hash code and row pointers, MySQL can't use the values in the index to avoid reading the rows
2. MySQL can't use has indexes for sorting bc they don't store rows in sorted order
3. Hash indexes don't support partial key matching bc they compute the hash from the entire indexed value
4. Hash indexes support only equality comparisons that use the =, IN(), and <=> operators, they don't support range queries
5. Accessing data in a hash index is very quick, unless there are many collisions(When there are multiple values with the same hash, the storage engine must follow each row pointer in the linked list and compare their values to the lookup value to find the right rows)
6. Some index maintenance operations can be slow if there are many hash collisions
Hash index are useful for lookup tables in a classic "star" schema data-warehousing
The InnoDB storage engine has a special feature called adaptive hash indexes
When InndoDB notices that some index values are being accessed very frequently, it builds a hash index for them in memory on top of B-Tree index
This process is completely automatic, and you can't control or configure it
You can build your own hash index if storage engine does not support it

Spatial(R-Tree) indexes
MyISAM supports spatial indexes, which you can use with geospatial types such as GEOMETRY

Full-text indexes
FULLTEXT is a special type of index for MyISAM tables
Full-text indexes are for MATCH AGAINST operations, not ordinary WHERE clause operations

[b]Indexing Strategies for High performance[/b]
Isolate the Column
If you don't isolate the indexed columns in a query, MySQL generally can't use indexes on columns unless the columns are isolated in the query
[code]
// these queries can't use index
SELECT actor_id FROM sakila.actor WHERE actor_id + 1 = 5;
SELECT ... WHERE TO_DAYS(CURRENT_DATE) - TO_DAYS(date_col) <= 10;
[/code]

Prefix Inndexes and Index Selectivity
For long character columns such as BLOB or TEXT, we can index the prefix and make index selectivity close to full column's selectivity

Clustered Indexes
From wikipedia:
Index architectures can be classified as clustered or non-clustered.
Unclustered
An Unclustered index is structured in a way that doesn't correspond to the order of the actual data records. It resembles the words index at the back of a book. For this reason, it will perform worse than clustered indexes on ranged searches where the result set is large, since each result could cost an additional I/O-operation to get the actual data record. One can have any number of these kinds of indexes, since all that is required is the space to store the index itself -- one does not copy the actual data to create a new index.
Clustered
Clustering alters the data block into a certain distinct order to match the index, hence it is also an operation on the data storage blocks as well as on the index. An address book ordered by first name resembles a clustered index in its structure and purpose. The exact operation of database systems vary, but because storing data is very redundant the row data can only be stored in one order. Therefore, only one clustered index can be created on a given database table. Clustered indexes can greatly increase overall speed of retrieval, but usually only where the data is accessed sequentially in the same or reverse order of the clustered index, or when a range of items are selected.
Since the physical records are in this sort order on disk, the next row item in the sequence is immediately before or after the last one, and so fewer data block reads are required. The primary feature of a clustered index is therefore the ordering of the physical data rows in accordance with the index blocks that point to them. Some databases separate the data and index blocks into separate files, others put two completely different data blocks within the same physical file(s).Clusturing is a great example of Indexing and is far more sophisticated than an unclustered index.

Now only solidDB and InnoDB support clustered indexes
InnoDB clusters the data by the primary key
If you don't define a primary key, InnoDB will try to use a unique nonnullable index instead
If there's no such index, InnoDB will define a hidden primary key for you and the cluster on that

Clustered indexes advantages:
1. You can keep related data close together
2. Data access is fast
3. Queries that use covering indexes can use the primary key values contained at the leaf node

Clustered indexes disadvantages:
1. Clustering gives the largest improvement for I/O-bound workfloads. If the data fits in memory the roder in which it's accessed doesn't really matter, so clustering doesn't give much benefit
2. Insert speeds depend heavily on insertion order
3. Updating the clustered index columns is expensive, because it forces InnoDB to move each updated row to a new location
4. Tables built upon clustered indexes are subject to page splits when new rows are inserted, or when a row's primary key is updated such that the row must be moved
5. Clustered tables can be slower for full table scans
6. Secondary(nonclustered) indexes can be larger than you might expect, because their leaf nodes contain the primary key columns of the referenced rows
7. Secondary index accesses require two index lookups instead of one. To find a row from a secondary index, the storage engine first finds the leaf node in the secondary index and then uses the primary key values stores there to navigate the primary key and find the row

An index that contains or covers all the data needed to satisfy a query is called a covering index

[b]An Indexing Case Study[/b]
You should put range column to the end of index, because MySQL uses only the leftmost prefix, up to and including the first condition that specifies a range of values
Avoid multiple range conditions
The query can be slow if the user interface is paginated and someone requests a page that's not near the beginning
Denormalizing, precomputing, and caching are likely to be the only strategies that work for queries like this
An even better strategy is to limit the number of pages you let the user view
This is unlikely to impact the user's experience, because no one really cares about the 10,000th page of search results

[b]Index and Table Maintenance[/b]
Finding and Repairing Table Corruption
[code]
CHECK TABLE
REPAIR TABLE
ALTER TABLE innodb_tbl ENGINE=INNODB;
myisamchk
backup and recovery
[/code]
Updating Index Statistics
[code]
ANALYZE TABLE
SHOW INDEX FROM
INFORMATION_SCHEMA.STATICTICS
[/code]
Reducing Index and Data Fragmentation
[code]
OPTIMIZE TABLE
dump and reload the data
[/code]

[b]Normalization and Denormalization[/b]
[url=http://en.wikipedia.org/wiki/Database_normalization]Database Normalization[/url]

Advantages of Normalized Schema:
1, Normalized upodates are usually faster than denormalized updates
2, When the data is well normalized, there's little or no duplicated data, so there's less data to change
3, Normalized tables are usually smaller, so they fit better in memory and perform better
4, The lack of redundant data means there's less need for DISTINCT or GROUP BY queries when retrieving lists of values

Drawbacks of Normalized Schema:
Any non-trivial query on a well-normalized schema will probably require at least one join, and perhaps several
This is not only expensive, but it can make some indexing strategies impossible

Advantages of Normalized Schema:
1, Everyhing is in the same table, which avoids joins. This can be much faster than a join, because it avoids random I/O
2, A single table can allow more efficient indexing strategies

In the real world, you often need to mix the approaches, possibly using a partially normalized schema, cache tables, and other techniques
The most common way to denormalized data is to duplicate or cache selected columns from one table in anotehr table, you can use triggers to udpate the cached values which makes the implementation easier
You'll often need extra idnexes, redundant fields, or even cache and summary tables to speed up read queries

[b]Speeding Up ALTER TABLE[/b]
MySQL's ALTER TABLE performance can become a problem with very large tables, MySQL performs most alterations by making an empty table with the desired new structure, inserting all the data from the old table into the new one, and deleting the old table
[code]
ALTER TABLE sakila.film MODIFY COLUMN rental_duration TINYINT(3) NOT NULL DEFAULT 5; // slow
ALTER TABLE sakila.film ALTER COLUMN rental_duration SET DEFAULT 5; // fast. This statement modifies the .frm file and leaves the table alone
[/code]
Modifying Only the .frm file to convince MySQL not to rebuild the table
[code]
CREATE TABLE sakila.film_new LIKE sakila.film
ALTER TABLE sakila.film_new MODIFY COLUMN rating ENUM('G', 'PG', 'PG-13', 'R', 'NC-17', 'PG-14') DEFAULT 'G'
FLUSH TABLES WITH READ LOCK;
// swap the .frm files of table film and film_new
mv film.frm film_tmp.frm
mv film_new.frm film.frm
mv film_tmp.frm film_new.frm
UNLOCK TABLES
DROP TABLE sakila.film_new
[/code]

Builing MyISAM Indexes Quickly
The usual trick for loading MyISAM tables efficiently is to disable keys, load the data, and reenable the keys:
[code]
ALTER TABLE test.load_data DISABLE KEYS
-- load the data
ALTER TABLE test.load_data ENABLE KEYS
[/code]
This only works for nonunique indexes.
For unique indexes, the faster way:
1, create a table of the desied structure, without any indexes
2, load the data into the table to build the .MYD file
3, create another empty table with the desired structure, including indexes, this will create .frm and .MYI files
4, FLush the tables with a read lock
5, Rename the second tables's .frm and .MYI files, so MySQL uses them for the first table
6, Release the read lock
7, Use REPAIR TABLE to build the table's indexes

[b]Notes on Storage Engines[/b]
[b]MyISAM[/b]
Table locks
MyISAM tables have table-level locks, be careful this doesn't become a bottleneck
No automated data recovery
If the MySQL server crashes or power goes down, you should check and possibly repair your MyISAM tables before using them. If you have large tables, this could take hours
No transactions
MyISAM table don't support transactions
Only indexes are cached in memory
MyISAM caches only the index inside the MySQL process, in the key buffer. The operating system caches the table's data
Compact storage
Rows are stored jam-packed one after anotehr, so you get a small disk footprint and fast full table scans for on-disk data

[b]Memory[/b]
Table locks
Memory tables have table locks but isn't usually a problem because queries on Memory tables are normally fast
No dynamic rows
Memory tables don't support dynamic(variable-length) rows, so they don't support BLOB and TEXT fields at all. Even a VARCHAR(5000) turns into a CHAR(5000) -- a huge memory waste if most values are small
Hash indexes are the default index type
No index statistics
You may get bad execution palns for some complex queries
Content is lost on restart
Memory tables don't persist any data to disk, so the data is lost when the server restarts, even though the table's definitions remain

[b]InnoDB[/b]
Transactional
InnoDB supports transactions adn four transaction isolation levels
Foreign keys
As of MySQL 5.0, InnoDB is the only storage engine that supports foreign keys
Row-level locks
Locks are set at the row level, with no escalation and nonblocking selects--standard selects don't set any locks at all, which gives very good concurrency
Multiversioning
InnoDb uses multiversion concurrecncy control, so by default your selects may read stale data
Clustering by primary key
All InnoDB tables are clustered by the primary key, which you can use to your advantage in schema design
All indexes contain the primary key columns
Indexes refer to the rows by the primary key, so if you don't keep your primary key short, the indexes will grow very large
Optimized caching
InnoDB caches both data and memory in the buffer pool, it also automatically builds hash indexes to speed up row retrieval
Unpacked indexes
Indexes are not packed with prefix compression, so they can be much larger than for MyISAM tables
Slow data load
As of MySQL 5.0, InnoDb does not specially optimize data load operations. It builds indexes a row at a time, instead of building them by sorting. This may result in significantly slower data loads
Blocking AUTO_INCREMENT
In versions earlier than MySQL 5.1, InnoDB uses a table-level lock to generate each new AUTO_INCREMENT value
No cached COUNT(*) value
Unlick MyISAM or Memory tables, InnoDB tables don't store the number of rows in the table, which means COUNT(*) queries without a WHERE clause can't be optimized away and require full table or index scans
Azure Blob Storage与Files核心差异及生产级选型指南 云文件存储本质是协议语义的选择:Blob基于HTTP REST的对象存储,适用于海量非结构化数据的高吞吐读写;Files则实现完整的SMB/NFS文件系统协议,支撑传统应用所需的路径遍历、文件锁和ACL继承。理解二者在访问模型、权限控制(SAS token、Azure AD集成)、存储账户类型(Premium_LRS对Files性能的决定性影响)及生命周期行为上的根本差异,是避免权限失控、性能瓶颈与成本暴增的前提。本文聚焦Azure文件存储的工程落地逻辑,覆盖从协议栈原理到冷热分层、Immutable Po 阅读详情

相关推荐

避免过度投入:技术人的深度管理策略与实操框架

在技术学习和项目实践中,如何高效投入并管理风险是开发者普遍面临的挑战。其核心原理在于对‘深度’进行战略性的界定与规划,这直接关系到个人成长效率与职业发展的可持续性。通过区分‘核心深度’与‘支持深度’,并引入‘最小可行深度’概念,可以有效聚焦高价值领域,避免资源浪费。这一策略的技术价值在于,它能帮助工程师、产品经理等从业者构建灵活且抗风险的能力体系,防止因过早或过度陷入特定技术栈、项目细节而导致的‘沉没成本’和‘路径依赖’问题。其应用场景广泛,涵盖了新技术学习、复杂项目推进以及个人项目或副业运营等多个方面。本

hideto 464

Pandas练习1

来自 https://github.com/guipsamora/pandas_exercises Ex2 - Getting and Knowing your Data This time we are going to pull data directly from the internet. Special thanks to: https://github.com/justmar...

1428

Python实现Serpent算法:从零构建32轮分组密码的实践指南

分组密码是现代密码学的核心组件,它通过对固定长度的数据块进行加密来保障信息安全。其基本原理是通过多轮迭代的混淆与扩散操作,将明文与密钥充分混合,生成看似随机的密文。这种设计在安全性与性能之间取得了平衡,广泛应用于数据加密、安全通信和存储等场景。Serpent算法作为AES竞赛的决赛选手,以其极致的保守主义设计哲学著称,通过采用32轮加密和精心设计的S盒,提供了巨大的安全冗余。本文聚焦于使用Python实现Serpent算法,深入剖析其密钥扩展、S盒应用和线性变换等核心组件,并探讨了在Python环境中处理比

hideto 424

high performance mysql sakila_HPM Note4, Schema Optimization and Indexing

Choosing Optimal Data TypesSmaller is usually betterSimple is goodAvoid NULL if possibleIndexing BasicsIndexes are implemented in the storage engine layer, not the server layerB-Tree indexes is the de...

weixin_39922374的博客 170

fibplus-8.0.0.zip

FIBPlus 是一套面向 Delphi / C++Builder 的 Firebird、InterBase 数据库访问组件,特点是直接走原生客户端 API,不经 BDE/ODBC,速度快且可控性强。8.0.0 版本主要适配 Delphi 2009 及以后的版本(Delphi 6–2007 需用 7.9.x),核心组件包括 TpFIBDatabase、TpFIBTransaction、TpFIBDataSet 等,支持精细事务管理、本地缓存、BLOB 处理和备份恢复等数据库服务。该库原为 Devrace 的商业组件,现由社区在 GitHub 的 madorin/fibplus 项目开源维护,建议从官方仓库获取源码而非第三方网盘压缩包。安装时解压后用对应版本的工程组(10.4+ 统一为 `FIB.groupproj`)Build 全部包,再 Install `dclFIB` 并在 Library 路径加入 Source 目录即可。新项目中若需官方技术支持,也可考虑 FireDAC、IBDAC 等更现代的替代方案。

基于K8S + apisix/istio 实现云原生模块化微服务.自带代码生成器,能够生成对表的增删改查的逻辑代码

基于K8S + apisix/istio 实现云原生模块化微服务.自带代码生成器,能够生成对表的增删改查的逻辑代码.是标准Maven项目,只依赖springboot,没有hibernate,struts,ibatis,数据库调优可以使用druid输出慢sql,比分析xml中的语句更直观,springrain所有的sql语句都使用Finder封装管理,只要查看Finder的引用即可.

计算机组成原理 7 大核心概念精讲:从 CPU 到 MIPS 的 15 个关键术语解析

本文深入解析计算机组成原理的7大核心概念,从CPU内部结构到MIPS指令系统,涵盖15个关键术语。通过层次化系统结构、冯·诺依曼体系、存储器层次等核心内容,帮助读者构建完整的计算机硬件知识体系,特别适合计算机专业学生和硬件工程师参考学习。

hideto 478

wordbuddy破甲经验分享

wordbuddy破甲经验分享

Unity卡牌游戏UI框架设计:MVC与事件驱动架构实战

在游戏开发中,UI架构设计是保障项目可维护性与扩展性的核心。MVC(Model-View-Controller)模式通过分离数据、视图与控制逻辑,有效降低了模块间的耦合度。结合事件驱动架构,系统各组件通过发布/订阅事件进行通信,进一步实现了松耦合与高内聚,这对于状态频繁变化、交互复杂的卡牌游戏尤为重要。这种架构模式的技术价值在于提升了代码的可读性、可测试性,并便于团队协作开发。在卡牌游戏场景中,它能够优雅地处理手牌动态布局、卡牌状态同步、动画序列管理等高频需求。本文以Unity引擎为例,深入探讨如何将MVC

hideto 416

双闭环PWM整流器VOC控制 +SVPWM调制仿真(Simulink仿真实现)

内容概要:本文详细介绍了一种基于Simulink的双闭环PWM整流器采用虚拟同步发电机控制(VOC)策略与空间矢量脉宽调制(SVPWM)技术的仿真模型。该模型在dq同步旋转坐标系下构建电压定向控制系统,实现了电压外环与电流内环的双闭环控制结构,重点阐述了VOC控制原理、SVPWM调制算法的实现方法及其在Simulink环境中的模块化搭建过程。通过该仿真平台,能够有效实现单位功率因数运行、直流母线电压稳定控制以及优异的动态响应性能,适用于电力电子变换器、新能源并网系统及电机驱动等领域的控制策略验证与性能评估。; 适合人群:电气工程、自动化、电力电子与电力传动等相关专业的高年级本科生、研究生,以及从事电力电子系统仿真、新能源并网控制研究的科研人员和技术工程师。; 使用场景及目标:①深入理解三相PWM整流器在dq坐标系下的数学建模与控制机理;②掌握VOC控制策略的核心思想及其相较于传统矢量控制的优势;③学习SVPWM调制技术的实现流程与Simulink建模技巧;④通过仿真实验验证双闭环控制系统的静态精度与动态稳定性,提升对先进电力电子控制系统的分析与设计能力。; 阅读建议:建议结合电力电子技术、现代控制理论和电机控制相关基础知识进行学习,按照仿真模型的结构逐步分析各功能模块的信号流向与参数配置,重点关注锁相环(PLL)、坐标变换、PI控制器设计及SVPWM模块的实现细节,并可通过调整控制参数观察系统响应变化,以深化对控制策略动态特性的理解。

储能双向Buck-Boost+模型预测电流控制+电压下垂控制仿真【附参考文献】(Simulink仿真实现)

内容概要:本文系统介绍了基于Simulink平台构建的储能双向Buck-Boost变换器仿真模型,融合模型预测电流控制与电压下垂控制策略,面向锂电池储能系统的高效充放电管理。该模型深入实现了双闭环控制架构的设计与动态性能分析,涵盖系统建模、关键控制算法实现及稳定性验证,并配套提供参考文献以支撑理论深度与技术复现性。资源包还整合了多种典型电力电子拓扑的仿真案例,如各类DC-DC变换器、谐振变换器、PWM整流器等,充分体现了其在新能源发电、微电网能量调度及电力系统稳定控制中的广泛应用价值和技术延展性。; 适合人群:适用于电气工程、自动化、电力电子及相关专业的高校研究生、科研人员以及从事能源系统仿真与控制设计的工程技术人员;要求具备一定的Simulink/MATLAB操作能力及电力电子与自动控制基础知识;; 使用场景及目标:①深入理解双向Buck-Boost电路在储能系统中的工作机理与能量双向流动控制方法;②掌握模型预测控制(MPC)与下垂控制在实际电力变换系统中的建模流程与参数整定技巧;③为科研课题、学位论文或工程项目提供高可靠性、可复用的仿真原型与技术参考方案; 阅读建议:建议结合文中列出的参考文献与网盘提供的完整仿真资源,按照目录结构循序渐进地学习各模块案例,重点剖析控制逻辑搭建、调节器设计与系统动态响应特性,通过动手仿真与参数调试深化对控制策略性能与鲁棒性的理解。

OpenCV 4.8 DNN 模块调用 YOLOv3:CPU 推理 3 大性能瓶颈分析与优化

本文深入分析了OpenCV 4.8 DNN模块在CPU环境下调用YOLOv3进行目标检测时的三大性能瓶颈:计算密集型操作、内存访问模式低效和线程调度开销,并提供了经过实战验证的优化方案。通过启用OpenCV优化后端、调整内存布局、优化线程调度以及模型量化剪枝等技巧,显著提升了推理性能,为计算机视觉开发者提供了实用的性能优化参考。

hideto 379

Amesim基础篇-元件详解-流体库管路

Amesim基础篇-元件详解-流体库管路

2201_75375391的博客 4519

MySQL Architecture

[img]http://dev.mysql.com/doc/refman/5.1/en/images/PSEArch.png[/img] MySQL Core Modules: [b]Server Initialization Module[/b] The Server Initialization Module is responsible for the server initial...

hideto 218

51雾化器实现

1. 雾化器简介 雾化器是将试液雾化的一种器械。雾化器是原子化系统的重要部件,其性能对测定的精密度和化学干扰等产生显著影响。因此要求雾化器喷雾稳定、雾滴细小、均匀和雾化效率高。雾化器的类型有超声雾化器,空气压缩式雾化器,网式雾化器。超声雾化器因其价格合适,适合家用,被广泛应用于加湿器,香薰机等各种小家电,也在医疗领域有很多的应用。家用雾化器的主要器件是一枚雾化片。 家用雾化器分为两种不同类别雾化片,实孔雾化片和微孔雾化片,这两种的喷雾方法和工作原理是有所不同的。不同的雾化片需要特定的频率才能工作。 实孔雾

qq_42415953的博客 2万+

四类九种移位寄存器总结(循环(左、右、双向)移位寄存器、逻辑和算术移位寄存器、串并转换移位寄存器、线性反馈移位寄存器LFSR|verilog代码|Testbench|仿真结果)

移位寄存器有哪些分类呢? 按移位方向分类:①单向移位寄存器(包括左移、右移)②双向移位寄存器 按循环方式分类:①循环移位寄存器②非循环移位寄存器 按部位的不同分类:①逻辑移位寄存器②算术移位寄存器 按输入输出方式分类:①串入串出②串入并出③并入串出④并入并出

Loudrs的博客 1万+

HPM Note5, Query Performance Optimization

[b]Slow Query Basics: Optimize Data Access[/b] Analyze a poorly performing query in two steps: 1, Find out whether your application is retrieving more data than you need 2, Find out whether the MyS...

hideto 201

openHarmony之AI Engine:万字讲解如何在应用、开发板上接入AI大模型调用

本文章介绍如何在 OpenHarmony 开发板上集成和部署各类 AI 大模型,实现终端直接聊天功能,并为语音助手、智能机器人等应用提供 AI 接口支持。

m0_67505153的博客 619

HPM Note2, MySQL Architecture

[b]MySQL's Logical Architecture[/b] Three layer: 1, Connection/thread handling 2, Query parsing, analysis, optimization, caching, build-in functions 3, Storage engine MySQL server caches thread...

hideto 167

从重复劳动到智能闭环:OpenClaw实战搭建小红书&公众号全自动化运营体系

如果你有一定的代码开发能力,还可以为OpenClaw开发自定义插件,拓展更多的功能,比如对接更多的平台,实现图文+短视频的全平台自动化运营;对接视频剪辑工具,实现短视频脚本生成、剪辑、配音、发布的全流程自动化;对接私域运营工具,实现公域引流、私域承接、用户转化的全链路自动化;对接电商平台,实现内容种草、商品上架、订单管理的全流程自动化,打造完整的内容电商闭环。新媒体运营的本质,是内容价值的传递,而不是机械的重复劳动。

专注于Python爬虫开发,分享爬虫技巧、项目实战与反爬经验,使用Scrapy、BeautifulSoup等工具,解决数据抓取难题。 310

银河麒麟编译libjpeg库并配置qt环境

银河麒麟下编译libjpeg库并配置qt环境验证

小米的修行之路 1012

MySQL优化笔记

[url=http://dev.mysql.com/doc/refman/5.1/zh/optimization.html]MySQL 5.1参考手册 :: 7. 优化[/url] [b]一、查询优化[/b] 使用EXPLAIN [code] EXPLAIN tbl_name [/code] 返回Field、Type、Null、Key、Default、Extra这几列对应的表中每个...

hideto 157

2025机械考研复试面试问题汇总篇(含13门科目),考研机械复试专业面试常见重点问题总结!考研机械复试专业面试准备看这一篇就够了!

(完整版内容:)1.汇集了本科各科的重点知识及多个机械名校800多个常见问题,共8.7万字185页,涵盖机械所以专业课的重点知识和常见问答。 2.涉及机械大类重点科目,包括:材料力学、控制工程、数控技术、机械制造技术基础、理论力学、液压传动、机械设计、机械原理、工程材料、互换性与技术测量、测试技术、汽车理论、程序设计与C语言等13门必修课。

weixin_56510835的博客 1861

HPM Note1,Book Organization

How This Book Is Organization [b]A Broad Overview[/b] Ch1, MySQL Architecture [b]Building a Solid Foundation[/b] Ch2, Finding Bottlenecks: Benchmarking and Profiling Ch3, Schema Optimizatio...

hideto 157

3.3 数据导入与导出方法

Simulink 提供了多种数据导入与导出方法,能够满足不同场景下的需求。无论是从 MATLAB 工作区或外部文件导入数据,还是将仿真结果导出到工作区或文件,这些功能都极大地增强了模型的灵活性和实用性。掌握这些方法后,用户可以更高效地完成复杂系统的建模与分析任务。

xiaoheshang_123的博客 318

RU DOS版、EFI版32bit/64bit BIOS常用工具

DOS版、EFI版的RU工具,可用来查看IO、MEM、PCI、SMBIOS等资源。亲测在EFI SHELL下可用。

上一篇: HPM Note2, MySQL Architecture
下一篇: HPM Note5, Query Performance Optimization
hidetobj
博客等级 码龄19年 16粉丝 301原创
评论
成就一亿技术人!
拼手气红包6.0元
还能输入1000个字符
 
 条评论被折叠 查看
添加红包

请填写红包祝福语或标题

个

红包个数最小为10个

元

红包金额最低5元

当前余额3.43元 前往充值 >
需支付:10.00元
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付元
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值