search

知乎:为什么人类想象不出四维的空间?

https://www.zhihu.com/question/40217873/answer/91882011?group_id=701375890050789376

引用

很想知道高维空间是怎样的

物理学认为高维坍缩成小尺度了 是什么意思 理解不了?

还有就是二元方程用平面 三元方程可以用立体

多元方程怎么用几何表示?

有人说人类的大脑是三维结构的无法想象出四维,这有什么关系嘛?理解不了

还有生活中有没有体现高维的东西?

我说:

引用

0. 教学是线性的(书是字符 一维的, 老师讲课 一维的, 文章一维的)

1. 人类智商低 (初中 教学只能教到二维)

2. 学的不够(在高中期间 大量的升维 思维练习 , 数字化, 抽象化 )(楼主在这里掉队了)

3. 知识被垄断了( 大学学习的高数 可以简单把三维变方程,用方程变换 来进行思考, 线数把方程 维度无限推高) ;

再看一下下面的代码..............

基本是如何接手这样的代码呢?

$goods = M("SightGoods")->field('id')->where(array('sight_id'=>$id))->select();        if($goods){            $ids = array();            foreach ($goods as $v) {                $ids[] = $v['id'];            }            if(count($ids) > 0){                $orderWhere['gid'] = array('in',$ids);                $orderWhere['comment_status'] = 2;                $orderWhere['goods_type'] = 'sight';                $orders = D('SightOrderView')->field('id')->where($orderWhere)->select();                if($orders){                    $oids = array();                    foreach ($orders as $v) {                        $oids[] = $v['id'];                    }                    if(count($oids) > 0){                        $page = $page-1;                        $pageCount = 10;                        $limit = $page*$pageCount.",".$pageCount;                        $comment = M('OrdersComment')->where(array('oid'=>array('in',$oids)))->limit($limit)->order('create_time DESC')->select();                        if($comment){                            foreach ($comment as &$v) {                                $user = M('Users')->field('mobile,openid,nickname,email,img,sex,ind_signature')->find($v['uid']);$user['img'] = $this->eve->arrangeUserImgPath($user['img']);                                $v['user'] = $user;                                $imgs = M('UserAlbum')->field('image_path')->where(array('obj_id'=>$v['id'],'image_type'=>1))->select();                                $images = array();                                if($imgs){                                    foreach ($imgs as $img) {                                        $images[] = $this->eve->arrangeUserImgPath($img['image_path']);                                    }                                }                                $v['images'] = $images;                            }                            $this->apiRetrun(1,'ok',$comment);                        }                    }                }            }        }	$this->apiRetrun(0,'no data');    }

这是一个人类典型的多维度思考方式的自然体现

我要说的是学习编程的人应该用升维练习来解读

Statement
The content of this article is voluntarily contributed by netizens, and the copyright belongs to the original author. This site does not assume corresponding legal responsibility. If you find any content suspected of plagiarism or infringement, please contact admin@php.cn
PHP Performance Tuning for High Traffic WebsitesPHP Performance Tuning for High Traffic WebsitesMay 14, 2025 am 12:13 AM

ThesecrettokeepingaPHP-poweredwebsiterunningsmoothlyunderheavyloadinvolvesseveralkeystrategies:1)ImplementopcodecachingwithOPcachetoreducescriptexecutiontime,2)UsedatabasequerycachingwithRedistolessendatabaseload,3)LeverageCDNslikeCloudflareforservin

Dependency Injection in PHP: Code Examples for BeginnersDependency Injection in PHP: Code Examples for BeginnersMay 14, 2025 am 12:08 AM

You should care about DependencyInjection(DI) because it makes your code clearer and easier to maintain. 1) DI makes it more modular by decoupling classes, 2) improves the convenience of testing and code flexibility, 3) Use DI containers to manage complex dependencies, but pay attention to performance impact and circular dependencies, 4) The best practice is to rely on abstract interfaces to achieve loose coupling.

PHP Performance: is it possible to optimize the application?PHP Performance: is it possible to optimize the application?May 14, 2025 am 12:04 AM

Yes,optimizingaPHPapplicationispossibleandessential.1)ImplementcachingusingAPCutoreducedatabaseload.2)Optimizedatabaseswithindexing,efficientqueries,andconnectionpooling.3)Enhancecodewithbuilt-infunctions,avoidingglobalvariables,andusingopcodecaching

PHP Performance Optimization: The Ultimate GuidePHP Performance Optimization: The Ultimate GuideMay 14, 2025 am 12:02 AM

ThekeystrategiestosignificantlyboostPHPapplicationperformanceare:1)UseopcodecachinglikeOPcachetoreduceexecutiontime,2)Optimizedatabaseinteractionswithpreparedstatementsandproperindexing,3)ConfigurewebserverslikeNginxwithPHP-FPMforbetterperformance,4)

PHP Dependency Injection Container: A Quick StartPHP Dependency Injection Container: A Quick StartMay 13, 2025 am 12:11 AM

APHPDependencyInjectionContainerisatoolthatmanagesclassdependencies,enhancingcodemodularity,testability,andmaintainability.Itactsasacentralhubforcreatingandinjectingdependencies,thusreducingtightcouplingandeasingunittesting.

Dependency Injection vs. Service Locator in PHPDependency Injection vs. Service Locator in PHPMay 13, 2025 am 12:10 AM

Select DependencyInjection (DI) for large applications, ServiceLocator is suitable for small projects or prototypes. 1) DI improves the testability and modularity of the code through constructor injection. 2) ServiceLocator obtains services through center registration, which is convenient but may lead to an increase in code coupling.

PHP performance optimization strategies.PHP performance optimization strategies.May 13, 2025 am 12:06 AM

PHPapplicationscanbeoptimizedforspeedandefficiencyby:1)enablingopcacheinphp.ini,2)usingpreparedstatementswithPDOfordatabasequeries,3)replacingloopswitharray_filterandarray_mapfordataprocessing,4)configuringNginxasareverseproxy,5)implementingcachingwi

PHP Email Validation: Ensuring Emails Are Sent CorrectlyPHP Email Validation: Ensuring Emails Are Sent CorrectlyMay 13, 2025 am 12:06 AM

PHPemailvalidationinvolvesthreesteps:1)Formatvalidationusingregularexpressionstochecktheemailformat;2)DNSvalidationtoensurethedomainhasavalidMXrecord;3)SMTPvalidation,themostthoroughmethod,whichchecksifthemailboxexistsbyconnectingtotheSMTPserver.Impl

See all articles

Hot AI Tools

Undresser.AI Undress

Undresser.AI Undress

AI-powered app for creating realistic nude photos

AI Clothes Remover

AI Clothes Remover

Online AI tool for removing clothes from photos.

Undress AI Tool

Undress AI Tool

Undress images for free

Clothoff.io

Clothoff.io

AI clothes remover

Video Face Swap

Video Face Swap

Swap faces in any video effortlessly with our completely free AI face swap tool!

Hot Article

Hot Tools

Safe Exam Browser

Safe Exam Browser

Safe Exam Browser is a secure browser environment for taking online exams securely. This software turns any computer into a secure workstation. It controls access to any utility and prevents students from using unauthorized resources.

ZendStudio 13.5.1 Mac

ZendStudio 13.5.1 Mac

Powerful PHP integrated development environment

Zend Studio 13.0.1

Zend Studio 13.0.1

Powerful PHP integrated development environment

SublimeText3 Chinese version

SublimeText3 Chinese version

Chinese version, very easy to use

DVWA

DVWA

Damn Vulnerable Web App (DVWA) is a PHP/MySQL web application that is very vulnerable. Its main goals are to be an aid for security professionals to test their skills and tools in a legal environment, to help web developers better understand the process of securing web applications, and to help teachers/students teach/learn in a classroom environment Web application security. The goal of DVWA is to practice some of the most common web vulnerabilities through a simple and straightforward interface, with varying degrees of difficulty. Please note that this software