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  • What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange
    1 $\begingroup$ When one thinks of matrix products like that, it's helpful to remember that matrices, unlike vectors, have two sets of bases: one for the domain and one for the range Thinking of applying a vector on to the right, we get that the transformation "unrotates" the vector, applies the original transformation in the original basis
  • Why is $1 i$ equal to $-i$? - Mathematics Stack Exchange
    There are multiple ways of writing out a given complex number, or a number in general Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot cleaner than saying $1-1$ for example
  • What is the value of $1^i$? - Mathematics Stack Exchange
    There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm The confusing point here is that the formula $1^x = 1$ is not part of the definition of complex exponentiation, although it is an immediate consequence of the definition of natural number exponentiation
  • 卡路里、千焦、大卡傻傻分不清楚?关于热量看这一篇就够了
    日常摄入热量的单位一般用“卡路里”来计算,简称卡,1千卡=1000卡(也称为1大卡)。 千焦和千卡的换算关系是:1000千焦=238 9大卡,1 大卡(千卡)=4 18千焦(KJ),一般千焦换算成大卡可以直接除以4 18来计算如果要粗略计算热量,直接除以4即可。
  • Why is $1^{\\infty}$ considered to be an indeterminate form
    The indeterminate forms are often abbreviated with stuff like "$1^\infty$" but that's not what they mean This "$1^\infty$" (in regards to indeterminate forms) actually means: when there is an expression that approaches 1 and then it is raised to the power of an expression that approaches infinity we can't determine what happens in that form
  • Why is $1$ not a prime number? - Mathematics Stack Exchange
    actually 1 was considered a prime number until the beginning of 20th century Unique factorization was a driving force beneath its changing of status, since it's formulation is quickier if 1 is not considered a prime; but I think that group theory was the other force
  • 知乎 - 知乎
    有问题,上知乎。知乎,可信赖的问答社区,以让每个人高效获得可信赖的解答为使命。知乎凭借认真、专业和友善的社区氛围,结构化、易获得的优质内容,基于问答的内容生产方式和独特的社区机制,吸引、聚集了各行各业中大量的亲历者、内行人、领域专家、领域爱好者,将高质量的内容透过
  • analysis - Little Small $o(1)$ notation clarification. - Mathematics . . .
    $\begingroup$ @chazisop By "mod sign" Matthew means the absolute value signs, and (I mean this neutrally) it's surprising you haven't seen them before, so I suspect you might have misconstrued his intended meaning




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