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 |    Not for the faint of art. |
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Complex Numbers A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number. The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi. Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary. Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty. ![Merit Badge in Quill Award
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Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif) ![Merit Badge in Highly Recommended
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I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
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| This bit from The Guardian is a couple of years old, but that's okay. Just remember it's British. If #1 isn't "stop reading fluffy internet advice articles," it fails. 1 Exercise on a Monday night (nothing fun happens on a Monday night). Oh. Oh, no. Shit. It's going to be one of those articles. 3 Tip: the quickest supermarket queue is always behind the fullest trolley (greeting, paying and packing take longer than you think). Except when the person pushing that cart is the kind who still pays by check, and goshdarnit, I know that checkbook's in here somewhere, hang on... 5 Consider going down to four days a week. It’s likely a disproportionate amount of your fifth day’s work is taxed anyway, so you’ll lose way less than a fifth of your take-home pay. Taxes don't work like that in the US, and I wasn't aware they worked like that in the UK. 10 Always bring ice to house parties (there’s never enough). Be sure to leave it in the living room, preferably on the couch. 12 Sharpen your knives. Damn, I hate that there's one I absolutely agree with. 14 Buy a cheap blender and use it to finely chop onions (it saves on time and tears). Sure, if you want onion purée. And an extra mess to clean up. Also, what's the point of having finely-sharpened knives if you can't use them to chop an onion quickly? 16 Set aside 10 minutes a day to do something you really enjoy – be it reading a book or playing Halo. No. Set aside 23 hours and 50 minutes a day to do what you really enjoy, and devote the rest of the time to work. 23 It might sound obvious, but a pint of water before bed after a big night avoids a clanger of a hanger. True, but if you're drunk enough, you won't wake up when that pint has been processed, if you know what I mean. 29 Eat meat once a week, max. Ideally less. I believe the expression is, "Sod off, wanker." 39 Send postcards from your holidays. Send them even if you’re not on holiday. This has the added benefit of pruning your friend list, which in turn means fewer holiday gifts to purchase and fewer birthdays to remember. 41 Buy a plant. Think you’ll kill it? Buy a fake one. I don't think I'll kill it; I know I'll kill it. Yes, even if it's a fake one. 42 Don’t have Twitter on your phone. This one's three words too long. 46 Read a poem every day. Technically, limericks are poems. 49 Buy in person! Fuck off! 51 If something in the world is making you angry, write (politely) to your MP – they will read it. This sentence is the only one on the list that I find impossible to translate from British to English. I mean, sure, our congresscritters are the rough equivalent of British MPs, but it's the last phrase after the emdash that broke my brain. 56 Call an old friend out of the blue. Drunk-dial an ex. 62 Go to bed earlier – but don’t take your phone with you. Why? If you're getting the same amount of sleep either way. 65 Instead of buying a morning coffee, set up a daily transfer of £2 from a current into a savings account and forget about it. Use it to treat yourself to something different later. How can I do that if I've forgotten about it? 72 Always use freshly ground pepper. Dammit, how dare they put in another one I'd have to agree with! 76 Ditch the plastic cartons and find a milkman – The Modern Milkman has a comprehensive list. This is some sort of euphemism, right? 89 Politely decline invitations if you don’t want to go. 90 If you do go, have an exit strategy (can we recommend a French exit, where you slip out unseen). Pretty sure that's known in France as la sortie anglaise. 93 Do that one thing you’ve been putting off. Then find something else to put off. 100 For instant cheer, wear yellow. Look at the stars. Look how they shine for you. And everything you do. |
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