We will define in this article basic concepts in representation theory. Assumption is that reader knows fundamentals of Group Theory and linear algebra. We also relate representation theory with analysis. Some advanced topics are touched in the last section.Gautam Borisagar
The end goal and expectation is for all pupils (with very limited exceptions) to have acquired the fundamental facts and concepts of maths for their year or key stage such that by the end of it they have achieved mastery in the maths they have been taught. At this point they are ready ...
Essentially, a theory is an abstract, symbolic representation of what is conceived to be reality. 理论在本质上是对认识了现实一个抽象和符号化表示。相关知识点: 试题来源: 解析 正确 题目中的英文句子和中文翻译都准确阐述了理论的基本定义。理论作为对现实世界的抽象和符号化表达,符合科学哲学中对理论的普遍...
a theory is an abstract为该复杂句子的主干部分,结构为”主-系-表“结构.其中 a theory为主语,is为系动词,an abstract为表语.symbolic representation of what is conceived to be reality为修饰abstract的修成分,类似于插入语.该句子可以翻译为“在本质上,理论是抽象的,这种抽象是可以构想为现实的的符号表示.”...
subsequent reality. To improve its predictive ability, the brain builds an internal representation of the world. In his theory, human intelligence emerges from that process. Whether influenced by Hawkins or not, generative AI works exactly this way. And, startlingly, it acts as if it is ...
addition, the no-cloning theorem of quantum mechanics -- which states it's impossible to make an exact copy of an unknown quantum state -- means data on such networks is harder to steal. That's the theory, at least, but quantum networking mostly exists in labs in small-scale networks ...
In general, tokenization is the process of issuing a digital, unique, and anonymous representation of a real thing. In Web3 applications, the token is used on a (typically private)blockchain, which allows the token to be utilized within specific protocols. Tokens can represent assets, including...
In fact, a theory is an abstract,(symbol) representation of what is conceived to be reality. 相关知识点: 试题来源: 解析 symbolic句意为:事实上,理论是对被认为是现 的东西的抽象的、象征性的表述。 根据句意,设空处应 用形容词 symbolic,意为“有象征意义的,符号化的” , 与形容词 abstract 并列...
解析 这是个“主---系---表”结构. 主语:a theory 谓语:is 表语:an abstract,symbolic representation of 不是与what一起的,of是与后面整个句子一体的,做representation的所有格,what is conceived to be reality 是个宾语从句,做of的宾语.整个of what is conceived to be reality做representation的定语....
从本质而言，一种理论就是被认为是客观事实的抽象的。具有象征性的代表 在这里what is conceived to be reality是一个名词从句，也就是一个名词的意思 译