[20191218]降序索引疑问4.txt

--//前几天优化一个项目,我发现许多表里面有有隐含字段,一般开发很少建立函数索引.我自己检查发现里面存在大量的降序索引.
--//我感觉有点奇怪,为什么开发要建立大量降序索引有什么好处呢?

--//我在链接http://www.itpub.net/thread-2122088-1-1.html里面问这个问题,sqysl的解答给了我很好的提示,我通过例子说明使用降
--//序索引的一点点好处,通过例子说明:

1.环境:
SCOTT@book> @ ver1
PORT_STRING         VERSION        BANNER
------------------- -------------- ----------------------------------------------------------------------------
x86_64/Linux 2.4.xx 11.2.0.4.0     Oracle Database 11g Enterprise Edition Release 11.2.0.4.0 - 64bit Production

SCOTT@book> alter system set pga_aggregate_target=4G;
System altered.

SCOTT@book> create table t (id1 number,id2 number,vc varchar2(50));
Table created.

create index i_t_id1_id2 on t (id1,id2);
create index i_t_id1desc_id2desc on t (id1 desc,id2 desc);
create index i_t_id1desc_id2 on t (id1 desc,id2 );
create index i_t_id1_id2desc on t (id1 ,id2 desc );

SCOTT@book> insert into t select rownum,rownum,lpad('a',50,'a') from dual connect by level<=1e6;
1000000 rows created.

SCOTT@book> commit ;
Commit complete.

--//分析略.
SCOTT@book> select index_name,index_type,blevel,leaf_blocks,distinct_keys from dba_indexes where owner=user and table_name='T';
INDEX_NAME                     INDEX_TYPE                      BLEVEL LEAF_BLOCKS DISTINCT_KEYS
------------------------------ --------------------------- ---------- ----------- -------------
I_T_ID1_ID2                    NORMAL                               2        2623       1000000
I_T_ID1DESC_ID2DESC            FUNCTION-BASED NORMAL                2        5877       1000000
I_T_ID1DESC_ID2                FUNCTION-BASED NORMAL                2        5618       1000000
I_T_ID1_ID2DESC                FUNCTION-BASED NORMAL                2        2753       1000000
--//无论那种倒序索引,索引都比正序索引大,特别是第1个字段选择desc的情况.因为我插入的字段是自增字段.
--//倒序索引分裂都是50-50分裂.

2.测试例子:
SCOTT@book> alter session set statistics_level = all;
Session altered.

SCOTT@book> select * from (select * from t where id1<=1e6 order by id1 desc,id2 ) where rownum<=10;
       ID1        ID2 VC
---------- ---------- --------------------------------------------------
   1000000    1000000 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999999     999999 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999998     999998 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999997     999997 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999996     999996 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999995     999995 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999994     999994 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999993     999993 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999992     999992 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    999991     999991 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
10 rows selected.

SCOTT@book> @ dpc '' ''
PLAN_TABLE_OUTPUT
-------------------------------------
SQL_ID  20hb1uyyqx4tf, child number 0
-------------------------------------
select * from (select * from t where id1<=1e6 order by id1 desc,id2 )
where rownum<=10
Plan hash value: 404407004
-------------------------------------------------------------------------------------------------------------------------------------------
| Id  | Operation                     | Name            | Starts | E-Rows |E-Bytes| Cost (%CPU)| E-Time   | A-Rows |   A-Time   | Buffers |
-------------------------------------------------------------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT              |                 |      1 |        |       |     4 (100)|          |     10 |00:00:00.01 |       6 |
|*  1 |  COUNT STOPKEY                |                 |      1 |        |       |            |          |     10 |00:00:00.01 |       6 |
|   2 |   VIEW                        |                 |      1 |     10 |   530 |     4   (0)| 00:00:01 |     10 |00:00:00.01 |       6 |
|   3 |    TABLE ACCESS BY INDEX ROWID| T               |      1 |   1000K|    58M|     4   (0)| 00:00:01 |     10 |00:00:00.01 |       6 |
|*  4 |     INDEX RANGE SCAN          | I_T_ID1DESC_ID2 |      1 |     10 |       |     3   (0)| 00:00:01 |     10 |00:00:00.01 |       4 |
-------------------------------------------------------------------------------------------------------------------------------------------
Query Block Name / Object Alias (identified by operation id):
-------------------------------------------------------------
   1 - SEL$1
   2 - SEL$2 / from$_subquery$_001@SEL$1
   3 - SEL$2 / T@SEL$2
   4 - SEL$2 / T@SEL$2
Predicate Information (identified by operation id):
---------------------------------------------------
   1 - filter(ROWNUM<=10)
   4 - access("T"."SYS_NC00004$">=HEXTORAW('3BFDFF')  AND "T"."SYS_NC00004$" IS NOT NULL)
       filter(SYS_OP_UNDESCEND("T"."SYS_NC00004$")<=1000000)
32 rows selected.
--//逻辑读仅仅6个.而其它2个索引都无法达到这样的效果.

select * from (select /*+ index(t I_T_ID1DESC_ID2DESC) */ * from t where id1<=1e6 order by id1 desc,id2 ) where rownum<=10;
select * from (select /*+ index_desc(t I_T_ID1DESC_ID2DESC) */ * from t where id1<=1e6 order by id1 desc,id2 ) where rownum<=10;

select * from (select /*+ index(t I_T_ID1_ID2) */ * from t where id1<=1e6 order by id1 desc,id2 ) where rownum<=10;
select * from (select /*+ index_desc(t I_T_ID1_ID2) */ * from t where id1<=1e6 order by id1 desc,id2 ) where rownum<=10;
--//结果不在贴出.大家可以自行测试.

3.继续测试:

SCOTT@book> alter index I_T_ID1DESC_ID2 invisible;
Index altered.

SCOTT@book> select * from (select  * from t where id1<=1e6 order by id1 desc,id2 ) where rownum<=1;
       ID1        ID2 VC
---------- ---------- --------------------------------------------------
   1000000    1000000 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

SCOTT@book> @ dpc '' ''
PLAN_TABLE_OUTPUT
-------------------------------------
SQL_ID  2r7j4a5gdhpnj, child number 0
-------------------------------------
select * from (select  * from t where id1<=1e6 order by id1 desc,id2 )
where rownum<=1

Plan hash value: 3299198703

----------------------------------------------------------------------------------------------------------------------------------------------------------------------
| Id  | Operation               | Name | Starts | E-Rows |E-Bytes|E-Temp | Cost (%CPU)| E-Time   | A-Rows |   A-Time   | Buffers | Reads  |  OMem |  1Mem | Used-Mem |
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT        |      |      1 |        |       |       | 17500 (100)|          |      1 |00:00:00.38 |    9285 |     74 |       |       |          |
|*  1 |  COUNT STOPKEY          |      |      1 |        |       |       |            |          |      1 |00:00:00.38 |    9285 |     74 |       |       |          |
|   2 |   VIEW                  |      |      1 |   1000K|    50M|       | 17500   (1)| 00:03:30 |      1 |00:00:00.38 |    9285 |     74 |       |       |          |
|*  3 |    SORT ORDER BY STOPKEY|      |      1 |   1000K|    58M|    69M| 17500   (1)| 00:03:30 |      1 |00:00:00.38 |    9285 |     74 |    65M|  2806K|          |
|*  4 |     TABLE ACCESS FULL   | T    |      1 |   1000K|    58M|       |  2744   (1)| 00:00:33 |   1000K|00:00:00.12 |    9285 |     74 |       |       |          |
----------------------------------------------------------------------------------------------------------------------------------------------------------------------

Query Block Name / Object Alias (identified by operation id):
-------------------------------------------------------------

1 - SEL$1
   2 - SEL$2 / from$_subquery$_001@SEL$1
   3 - SEL$2
   4 - SEL$2 / T@SEL$2

Predicate Information (identified by operation id):
---------------------------------------------------

1 - filter(ROWNUM<=1)
   3 - filter(ROWNUM<=1)
   4 - filter("ID1"<=1000000)
32 rows selected.
--//oracle选择全表扫描.

SCOTT@book> alter index I_T_ID1DESC_ID2 visible;
Index altered.

4.再继续测试:
--//测试第1个字段正序,第2个字段倒序的情况.
SCOTT@book> select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc ) where rownum<=5;
       ID1        ID2 VC
---------- ---------- --------------------------------------------------
         1          1 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         2          2 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         3          3 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         4          4 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         5          5 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

SCOTT@book> @ dpc '' ''
PLAN_TABLE_OUTPUT
-------------------------------------
SQL_ID  8f5yj8c3frpnc, child number 0
-------------------------------------
select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc )
where rownum<=5
Plan hash value: 2787951352
-------------------------------------------------------------------------------------------------------------------------------------------
| Id  | Operation                     | Name            | Starts | E-Rows |E-Bytes| Cost (%CPU)| E-Time   | A-Rows |   A-Time   | Buffers |
-------------------------------------------------------------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT              |                 |      1 |        |       |     4 (100)|          |      5 |00:00:00.01 |       6 |
|*  1 |  COUNT STOPKEY                |                 |      1 |        |       |            |          |      5 |00:00:00.01 |       6 |
|   2 |   VIEW                        |                 |      1 |      5 |   265 |     4   (0)| 00:00:01 |      5 |00:00:00.01 |       6 |
|   3 |    TABLE ACCESS BY INDEX ROWID| T               |      1 |   1000K|    58M|     4   (0)| 00:00:01 |      5 |00:00:00.01 |       6 |
|*  4 |     INDEX RANGE SCAN          | I_T_ID1_ID2DESC |      1 |      5 |       |     3   (0)| 00:00:01 |      5 |00:00:00.01 |       4 |
-------------------------------------------------------------------------------------------------------------------------------------------
Query Block Name / Object Alias (identified by operation id):
-------------------------------------------------------------
   1 - SEL$1
   2 - SEL$2 / from$_subquery$_001@SEL$1
   3 - SEL$2 / T@SEL$2
   4 - SEL$2 / T@SEL$2
Predicate Information (identified by operation id):
---------------------------------------------------
   1 - filter(ROWNUM<=5)
   4 - access("ID1"<=1000000)
31 rows selected.
--//可以发现很好第使用I_T_ID1_ID2DESC索引.逻辑读也很小,仅仅6.

SCOTT@book> alter index I_T_ID1_ID2DESC invisible;
Index altered.

select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc ) where rownum<=1;
SCOTT@book> select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc ) where rownum<=5;
       ID1        ID2 VC
---------- ---------- --------------------------------------------------
         1          1 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         2          2 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         3          3 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         4          4 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         5          5 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

SCOTT@book> @ dpc '' ''
PLAN_TABLE_OUTPUT
-------------------------------------
SQL_ID  8f5yj8c3frpnc, child number 0
-------------------------------------
select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc )
where rownum<=5

Plan hash value: 2145689175

-----------------------------------------------------------------------------------------------------------------------------------------------------
| Id  | Operation                      | Name            | Starts | E-Rows |E-Bytes| Cost (%CPU)| E-Time   | A-Rows |   A-Time   | Buffers | Reads  |
-----------------------------------------------------------------------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT               |                 |      1 |        |       |     4 (100)|          |      5 |00:00:00.01 |       6 |      1 |
|*  1 |  COUNT STOPKEY                 |                 |      1 |        |       |            |          |      5 |00:00:00.01 |       6 |      1 |
|   2 |   VIEW                         |                 |      1 |      5 |   265 |     4   (0)| 00:00:01 |      5 |00:00:00.01 |       6 |      1 |
|   3 |    TABLE ACCESS BY INDEX ROWID | T               |      1 |   1000K|    58M|     4   (0)| 00:00:01 |      5 |00:00:00.01 |       6 |      1 |
|*  4 |     INDEX RANGE SCAN DESCENDING| I_T_ID1DESC_ID2 |      1 |      5 |       |     3   (0)| 00:00:01 |      5 |00:00:00.01 |       4 |      1 |
-----------------------------------------------------------------------------------------------------------------------------------------------------
Query Block Name / Object Alias (identified by operation id):
-------------------------------------------------------------
   1 - SEL$1
   2 - SEL$2 / from$_subquery$_001@SEL$1
   3 - SEL$2 / T@SEL$2
   4 - SEL$2 / T@SEL$2
Predicate Information (identified by operation id):
---------------------------------------------------
   1 - filter(ROWNUM<=5)
   4 - access("T"."SYS_NC00004$" IS NOT NULL AND "T"."SYS_NC00004$">=HEXTORAW('3BFDFF') )
       filter(SYS_OP_UNDESCEND("T"."SYS_NC00004$")<=1000000)
32 rows selected.

--//你会发现一个奇特现象,oracle会使用"倒过来"的一个索引,也就是id1 desc,id2 asc的索引.

SCOTT@book> alter index I_T_ID1DESC_ID2 invisible;
Index altered.

SCOTT@book> select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc ) where rownum<=5;
       ID1        ID2 VC
---------- ---------- --------------------------------------------------
         1          1 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         2          2 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         3          3 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         4          4 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
         5          5 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

SCOTT@book> @ dpc '' ''
PLAN_TABLE_OUTPUT
-------------------------------------
SQL_ID  8f5yj8c3frpnc, child number 0
-------------------------------------
select * from (select  * from t where id1<=1e6 order by id1 ,id2 desc )
where rownum<=5

Plan hash value: 3299198703

----------------------------------------------------------------------------------------------------------------------------------------------------------------------
| Id  | Operation               | Name | Starts | E-Rows |E-Bytes|E-Temp | Cost (%CPU)| E-Time   | A-Rows |   A-Time   | Buffers | Reads  |  OMem |  1Mem | Used-Mem |
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT        |      |      1 |        |       |       | 17500 (100)|          |      5 |00:00:00.41 |    9279 |   9269 |       |       |          |
|*  1 |  COUNT STOPKEY          |      |      1 |        |       |       |            |          |      5 |00:00:00.41 |    9279 |   9269 |       |       |          |
|   2 |   VIEW                  |      |      1 |   1000K|    50M|       | 17500   (1)| 00:03:30 |      5 |00:00:00.41 |    9279 |   9269 |       |       |          |
|*  3 |    SORT ORDER BY STOPKEY|      |      1 |   1000K|    58M|    69M| 17500   (1)| 00:03:30 |      5 |00:00:00.41 |    9279 |   9269 |  2048 |  2048 | 2048  (0)|
|*  4 |     TABLE ACCESS FULL   | T    |      1 |   1000K|    58M|       |  2744   (1)| 00:00:33 |   1000K|00:00:00.15 |    9279 |   9269 |       |       |          |
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Query Block Name / Object Alias (identified by operation id):
-------------------------------------------------------------
   1 - SEL$1
   2 - SEL$2 / from$_subquery$_001@SEL$1
   3 - SEL$2
   4 - SEL$2 / T@SEL$2
Predicate Information (identified by operation id):
---------------------------------------------------
   1 - filter(ROWNUM<=5)
   3 - filter(ROWNUM<=5)
   4 - filter("ID1"<=1000000)
32 rows selected.
--//选择的是全表扫描.

SCOTT@book> alter index i_t_id1desc_id2desc invisible;
Index altered.

SCOTT@book> select * from (select  * from t where id1<=1e6 order by id1 desc ,id2 desc ) where rownum<=1;
       ID1        ID2 VC
---------- ---------- --------------------------------------------------
   1000000    1000000 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

SCOTT@book> @ dpc '' ''
PLAN_TABLE_OUTPUT
-------------------------------------
SQL_ID  66z6w3qc77jwp, child number 0
-------------------------------------
select * from (select  * from t where id1<=1e6 order by id1 desc ,id2
desc ) where rownum<=1
Plan hash value: 3873686303

----------------------------------------------------------------------------------------------------------------------------------------
| Id  | Operation                      | Name        | Starts | E-Rows |E-Bytes| Cost (%CPU)| E-Time   | A-Rows |   A-Time   | Buffers |
----------------------------------------------------------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT               |             |      1 |        |       |     4 (100)|          |      1 |00:00:00.01 |       4 |
|*  1 |  COUNT STOPKEY                 |             |      1 |        |       |            |          |      1 |00:00:00.01 |       4 |
|   2 |   VIEW                         |             |      1 |      1 |    53 |     4   (0)| 00:00:01 |      1 |00:00:00.01 |       4 |
|   3 |    TABLE ACCESS BY INDEX ROWID | T           |      1 |   1000K|    58M|     4   (0)| 00:00:01 |      1 |00:00:00.01 |       4 |
|*  4 |     INDEX RANGE SCAN DESCENDING| I_T_ID1_ID2 |      1 |      1 |       |     3   (0)| 00:00:01 |      1 |00:00:00.01 |       3 |
----------------------------------------------------------------------------------------------------------------------------------------
--//也能很好的选择正序索引.

5.总结:
--//通过以上测试,仅仅一种特殊的情况才需要建立倒序索引.存在id1 desc,id2 asc的情况下,建议完全可反过来建立(特别对于自增序列字段),
--//就是反过来建立索引id1 ,id2 desc,这样的索引占用磁盘空间更小.
--//其它情况我看不到降序索引的优势.

[20191218]降序索引疑问4.txt的更多相关文章

  1. [20181124]关于降序索引问题3.txt

    [20181124]关于降序索引问题3.txt --//链接:blog.itpub.net/267265/viewspace-2221425/,探讨降序索引中索引的键值.--//实际上使用函数sys_ ...

  2. [20181124]关于降序索引问题2.txt

    [20181124]关于降序索引问题2.txt --//链接:blog.itpub.net/267265/viewspace-2221425/,探讨降序索引中索引的键值.--//实际上使用函数sys_ ...

  3. [20190910]关于降序索引问题5.txt

    [20190910]关于降序索引问题5.txt --//测试了索引TERM使用0xfe表示,回想到以前遇到降序索引的特殊字符编码问题,现在可是忘得一干二净.--//现在想想当时自己怎么猜测出来的,^_ ...

  4. MySQL 8 新特性之降序索引

    MySQL 8.0终于支持降序索引了.其实,从语法上,MySQL 4就支持了,但正如官方文档所言,"they are parsed but ignored",实际创建的还是升序索引 ...

  5. MySQL8新增降序索引

    MySQL8新增降序索引 桃花坞里桃花庵,桃花庵里桃花仙.桃花仙人种桃树,又摘桃花卖酒钱. 一.MySQL5.7 降序索引 MySQL在语法上很早就已经支持降序索引,但实际上创建的却仍然是升序索引,如 ...

  6. 谈谈MySQL中的降序索引 order by id DESC / ASC

    今天这篇主要讲order by 语句中的多个字段asc desc的问题.mysql5中,索引存储的排序方式是ASC的,没有DESC的索引.现在能够理解为啥order by 默认是按照ASC来排序的了吧 ...

  7. Shell练习 统计单词个数,降序排列

    原文:https://leetcode.com/problems/word-frequency/ Write a bash script to calculate the frequency of e ...

  8. 选取两个有序数组中最大的K个值,降序存入另一个数组中

    原题: 假设有两个有序的整型数组int *a1, int *a2,长度分别为m和n.试用C语言写出一个函数选取两个数组中最大的K个值(K可能大于m+n)写到int *a3中,保持a3降序,并返回a3实 ...

  9. [20190423]那个更快的疑问3.txt

    [20190423]那个更快的疑问3.txt --//前一阵子,做了11g在单表单条记录唯一索引扫描的测试,摘要如下:--//参考链接:http://blog.itpub.net/267265/vie ...

随机推荐

  1. 用.NET解索尼相机ARW格式照片

    用.NET解索尼相机ARW格式照片 目前常用的照片格式是.jpg,它只能提供8bit的色彩深度,而目前主流的相机都能提供高达12bit-14bit的色彩深度,动态范围和后期处理能力也大大增加,这也是为 ...

  2. Python 命令行之旅:深入 click 之增强功能

    作者:HelloGitHub-Prodesire HelloGitHub 的<讲解开源项目>系列,项目地址:https://github.com/HelloGitHub-Team/Arti ...

  3. 洛谷 P1920 成功密码 题解

    这是蒟蒻的第一篇题解,(之前的都没过,估计这篇也过不了 回到正题 这题,本蒟蒻第一眼看到以后,就决定咦,这不是模拟吗? 看到世界范围,嗯,打扰了. 扯回正题 首先,暴力肯定是A不了的(至少我A不了 但 ...

  4. luogu P1731 [NOI1999]生日蛋糕 |暴力枚举

    题目背景 7月17日是Mr.W的生日,ACM-THU为此要制作一个体积为Nπ的M层 生日蛋糕,每层都是一个圆柱体. 设从下往上数第i(1<=i<=M)层蛋糕是半径为Ri, 高度为Hi的圆柱 ...

  5. iOS 玩转推送通知

    转自:http://www.cocoachina.com/ios/20160316/15665.html 前言 推送通知,想必大家都很熟悉,关于原理之类的,这里就不过多阐述.在这里我们主要介绍下iOS ...

  6. (全国多校重现赛一)A-Big Binary Tree

    You are given a complete binary tree with n nodes. The root node is numbered 1, and node x's father ...

  7. UESTC1961-咸鱼睡觉觉

    咸鱼睡觉觉 Time Limit: 1000 MS     Memory Limit: 64 MB Submit Status 咸鱼要睡觉觉了! 但那群咕咕有点烦. 咸鱼决定要赶走一些咕咕,使得他们不 ...

  8. WPF 画一个3D矩形并旋转

    具体的代码还是线性代数. 主要是旋转和平移. 这个例子的中模型是在世界原点建立.所以旋转会以自身轴心旋转. 如果不在世界原点建立模型,还想以自身为旋转轴旋转. 则是需要以下步骤: 模型的中心点为V1( ...

  9. imagenet-vgg-verydeep-19.mat格式详解

    .mat是matlab生成的文件.用matlab打开文件imagenet-vgg-verydeep-19.mat可以帮助理解其结构.matlab代码如下: a = open('D:\imagenet- ...

  10. Nginx的事件循环

    首先事件循环的起点就是监听端口获取连接,我们可以在ngx_event_core_module模块的ngx_event_process_init函数中看到如下的代码: /* for each liste ...