Passionable Latest Questions

Alek Richter
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  1. Alek Richter Beginner

    It's a rather unusual convention, but if you want it then: enter image description here \documentclass{article} \usepackage{textcomp} \begin{document} `It\textquotesingle s a nice day!' \end{document}

    It’s a rather unusual convention, but if you want it then:

    enter image description here

    \documentclass{article}
    \usepackage{textcomp}
    \begin{document}
    `It\textquotesingle s a nice day!’
    \end{document}

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Alek Richter
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  1. Alek Richter Beginner

    It's a nonsense phrase, developed by the writer of the old English fairytale "Jack and the Beanstalk". It is usually expressed as fee-fi-fo-fum and it has no meaning or relevance besides the fact that it makes a neat couplet designed to strike terror into the listener's heart. As a child hearing thiRead more

    It’s a nonsense phrase, developed by the writer of the old English fairytale “Jack and the Beanstalk”. It is usually expressed as fee-fi-fo-fum and it has no meaning or relevance besides the fact that it makes a neat couplet designed to strike terror into the listener’s heart. As a child hearing this story, I always imagined the giant stomping his feet to the beat of fee-fi-fo-fum and making the ground shake and poor Jack’s knees tremble.

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Alek Richter
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  1. Alek Richter Beginner

    You can think of a n×n normal matrix as a linear transformation. It 'stretches' or 'scale' a vector in each of its eigenvector directions by factor of eigenvalues, which could be a complex number. If there are m zero eigenvalues and the m independent corresponding eigenvectors, you can interpret itRead more

    You can think of a n×n

    normal matrix as a linear transformation. It ‘stretches’ or ‘scale’ a vector in each of its eigenvector directions by factor of eigenvalues, which could be a complex number.

    If there are m
    zero eigenvalues and the m independent corresponding eigenvectors, you can interpret it as the matrix wipes out m dimensions in the n dimensional vector space, or m dimensions are squashed or collapse, as described in BenjaLim’s answer. The annihilated m dimensions is called the null space or kernel of the matrix, and the remained n−m dimensions is the co-image of the matrix, whose dimension (n−m

    in this case) is the rank of the matrix.

    If the matrix has null space (zero eigenvalues), you cannot invert it because information in the null space are lost, just as you cannot invert 0×a=b
    by a=b/0. The best you can do is to recover the information in the co-image space by pseudo-inverse.

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Alek Richter
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  1. Alek Richter Beginner

    The Dragon Ball Super movie has a completely different art style compared to the anime. This is similar in comparison to what was said about the Super Saiyan Blue forms used by Goku and Vegeta. There was a lot of speculation that Goku and Vegeta were supposedly using a new version of Super Saiyan BlRead more

    The Dragon Ball Super movie has a completely different art style compared to the anime. This is similar in comparison to what was said about the Super Saiyan Blue forms used by Goku and Vegeta. There was a lot of speculation that Goku and Vegeta were supposedly using a new version of Super Saiyan Blue, possibly Mastered Super Saiyan Blue against Broly. However, it was just the regular Super Saiyan Blue transformation with a new art style where the hair color seems to look darker.

    The transformation Gogeta is using here is clearly Super Saiyan Blue. We see this based on the color of his hair. The different art styles and the superior animations in the movie compared to the series, makes it appear that way. Even Xenoverse 2 just put out a trailer with Super Saiyan Blue Gogeta.
    Also Note: According to new arc of DBS in the manga, Goku tells Vegeta that he hasn’t been able to use Ultra Instinct even once after the tournament of power, plus, MUI has silver hair and UI Omen has the special aura with regular hair and Gogeta clearly has Blue hair here. Secondly, the hair for the SSBE transformation is a lot darker. You can look at this photograph here, of SSJB and SSBE side by side.

    While the manga had the concept of the “Mastered Super Saiyan Blue” being a unique transformation, the anime doesn’t. However, I think it is more or less implied that Goku and Vegeta would have perfected their use of Super Saiyan Blue by now considering the fact that Goku can effortlessly stack Kaioken * 20 on top of it and has even ascended to levels far beyond SSJB. Vegeta too has broken past the limitations of SSJB to unlock a new form. It is more or less implied Goku, Vegeta would have mastered the Super Saiyan transformations by now. However, there is no indication or change in the transformation

    Nevertheles, there is definitely evidence according to Spoilers that Gogeta fights Broly in Base, SSJ and Super Saiyan Blue. Hence, the form being used here is Super Saiyan Blue.

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Alek Richter
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  1. Alek Richter Beginner

    You don't need the feat in 5E to wield oversized weapons The DMG section on creating a monster provides rules for using oversized weapons under "Step 11. Damage" (p. 278; emphasis mine): Big monsters typically wield oversized weapons that deal extra dice of damage on a hit. Double the weapon dice ifRead more

    You don’t need the feat in 5E to wield oversized weapons

    The DMG section on creating a monster provides rules for using oversized weapons under “Step 11. Damage” (p. 278; emphasis mine):

    Big monsters typically wield oversized weapons that deal extra dice of damage on a hit. Double the weapon dice if the creature is Large, triple the weapon dice if it’s Huge, and quadruple the weapon dice if it’s Gargantuan. For example, a Huge giant wielding an appropriately sized greataxe deals 3d12 slashing damage (plus its Strength bonus), instead of the normal 1d12.

    A creature has disadvantage on attack rolls with a weapon that is sized for a larger attacker. You can rule that a weapon sized for an attacker two or more sizes larger is too big for the creature to use at all.

    Disadvantage is, on average, equivalent to -5 on the roll (dependent on what the total number required to hit is). You could justifiably create a homebrewed feat that improved this to a static -2 penalty instead of disadvantage, provided the DM approves (just in case you aren’t the DM).

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Alek Richter
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  1. Alek Richter Beginner

    (Not meant to be a complete answer, just an addition to others.) TeX Live provides more secure defaults than MiKTeX and probably pays more attention to security in general. For example, section 3 of this paper describes a simple way to make document (or bibtex database, or package) viruses which wouRead more

    (Not meant to be a complete answer, just an addition to others.)

    TeX Live provides more secure defaults than MiKTeX and probably pays more attention to security in general. For example, section 3 of this paper describes a simple way to make document (or bibtex database, or package) viruses which would almost make MS-Word look as secure alternative 😉 This attack doesn’t work with TeX Live’s default settings, regardless of the platform (Windows or other).

    Not completely unrelated, TeX Live is designed to support multi-user systems, including being installed on a servers and used on network clients, possibly with mixed architectures and OSes. (Which may be totally irrelevant to the OP, but mentioned only for information.)

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Alek Richter
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  1. Alek Richter Beginner

    Whether Avilio is shot is unclear, and it's only really speculation as to his fate. There's a seemingly elaborate fan theory analysing the shoe patterns, shoe styles and footsteps made in the sand. This fan theory seems to think that Avilio was not shot. You can read the full post and check the screRead more

    Whether Avilio is shot is unclear, and it’s only really speculation as to his fate.

    There’s a seemingly elaborate fan theory analysing the shoe patterns, shoe styles and footsteps made in the sand. This fan theory seems to think that Avilio was not shot. You can read the full post and check the screenshots on the Reddit discussion here.

    The ‘Pineapples in the backseat’ are a little more explainable, however.

    In Episode 4, while they’re (Nero and Avilio) on the run from the assassin tracking them, they’re in a store and Avilio is doing the shopping. Avilio picks up cans of pineapples in a hurry. Nero later comments and jokes about his choice.

    The can of pineapple in the backseat of the car is a momento of that moment they shared together (and could be seen as a representation of Nero saving his life)

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Alek Richter
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  1. Alek Richter Beginner

    Among meanings for preposition per, wiktionary.org includes in accordance with [e.g.] I parked my car at the curb per your request It defines as per as a preposition meaning "Consistent, or in accordance, with." Taking Wiktionary as a guide, one can use either form with little difference in meaning,Read more

    Among meanings for preposition per, wiktionary.org includes

    in accordance with [e.g.] I parked my car at the curb per your request

    It defines as per as a preposition meaning “Consistent, or in accordance, with.”

    Taking Wiktionary as a guide, one can use either form with little difference in meaning, but I think some people will object to such use of per and others to such use of as per.

    My preference is for per because most uses of as per that I’ve heard seem pompous and verbose.

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Alek Richter
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  1. Alek Richter Beginner

    It’s an additional action - you can use it for anything you like Except casting a concentration spell - that would end your longer casting time spell because you are concentrating on that. Aside from that, you can use this additional action to do any of the things in the PHB including Attack and CasRead more

    It’s an additional action – you can use it for anything you like

    Except casting a concentration spell – that would end your longer casting time spell because you are concentrating on that.

    Aside from that, you can use this additional action to do any of the things in the PHB including Attack and Cast a Spell, leaving your action available for continuing to cast.

    Having to use your action to continue to cast the spell does not affect your movement in any way.

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