Math Addition Quotes

DEMON MATH What is JUST in a world you've ripped in two as if there could be a half for me a half for you what is FAIR when there is nothing left to share what is YOURS when your pain is mine to bear this sad math is mine this mad path is mine subtract they say don't cry back to the desk try forget addition multiply and i reply this is why remainders hate division.

Infinite is a meaningless word: except – it states / The mind is capable of performing / an endless process of addition.

People enjoy inventing slogans which violate basic arithmetic but which illustrate “deeper” truths, such as “1 and 1 make 1” (for lovers), or “1 plus 1 plus 1 equals 1” (the Trinity). You can easily pick holes in those slogans, showing why, for instance, using the plus-sign is inappropriate in both cases. But such cases proliferate. Two raindrops running down a window-pane merge; does one plus one make one? A cloud breaks up into two clouds -more evidence of the same? It is not at all easy to draw a sharp line between cases where what is happening could be called “addition”, and where some other word is wanted. If you think about the question, you will probably come up with some criterion involving separation of the objects in space, and making sure each one is clearly distinguishable from all the others. But then how could one count ideas? Or the number of gases comprising the atmosphere? Somewhere, if you try to look it up, you can probably fin a statement such as, “There are 17 languages in India, and 462 dialects.” There is something strange about the precise statements like that, when the concepts “language” and “dialect” are themselves fuzzy.

what is JUST in a world you’ve ripped in two as if there could be a half for me a half for you what is FAIR when there is nothing left to share what is YOURS when your pain is mine to bear this sad math is mine this mad path is mine subtract they say don’t cry back to the desk try forget addition multiply and i reply this is why remainders hate division

Life is like a additional math problem, once you thing you have everthing figured out, you find out you message somewhere. Scars show us where we have been. But they don't have determine where we go.

If you Google “How do I write a book?” you’ll get a million hits, but here’s the dirty secret: It’s just math. It’s not even hard math—it’s first-grade addition. Write three pages a day, every day. In a hundred days, you’ll have three hundred pages. Type “The End.” Done.

Asian children can perform basic functions, such as addition, far more easily. Ask an English-speaking seven-year-old to add thirty-seven plus twenty-two in her head, and she has to convert the words to numbers (37 + 22). Only then can she do the math: 2 plus 7 is 9 and 30 and 20 is 50, which makes 59. Ask an Asian child to add three-tens-seven and two-tens-two, and then the necessary equation is right there, embedded in the sentence. No number translation is necessary: It’s five-tens-nine.

No matter how limited their powers of reason might have been. still they must have understood that living like that was just murder, a capital crime - except it was slow, day-by-day murder. The government (or humanity) could not permit capital punishment for one man, but they permitted the murder of millions a little at a time. To kill one man - that is, to subtract 50 years from the sum of all human lives - that was a crime; but to subtract from the sum of all human lives 50,000,000 years - that was not a crime! No, really, isn't it funny? This problem in moral math could be solved in half a minute by any ten-year-old Number today, but they couldn't solve it. All their Kant's together couldn't solve it (because it never occurred to one of their Kant's to construct a system of scientific ethics - that is, one based on subtraction, addition, division, and multiplication).

Boy everyone in this country is running around yammering about their fucking rights. "I have a right, you have no right, we have a right." Folks I hate to spoil your fun, but... there's no such thing as rights. They're imaginary. We made 'em up. Like the boogie man. Like Three Little Pigs, Pinocio, Mother Goose, shit like that. Rights are an idea. They're just imaginary. They're a cute idea. Cute. But that's all. Cute...and fictional. But if you think you do have rights, let me ask you this, "where do they come from?" People say, "They come from God. They're God given rights." Awww fuck, here we go again...here we go again. The God excuse, the last refuge of a man with no answers and no argument, "It came from God." Anything we can't describe must have come from God. Personally folks, I believe that if your rights came from God, he would've given you the right for some food every day, and he would've given you the right to a roof over your head. GOD would've been looking out for ya. You know that. He wouldn't have been worried making sure you have a gun so you can get drunk on Sunday night and kill your girlfriend's parents. But let's say it's true. Let's say that God gave us these rights. Why would he give us a certain number of rights? The Bill of Rights of this country has 10 stipulations. OK...10 rights. And apparently God was doing sloppy work that week, because we've had to ammend the bill of rights an additional 17 times. So God forgot a couple of things, like...SLAVERY. Just fuckin' slipped his mind. But let's say...let's say God gave us the original 10. He gave the british 13. The british Bill of Rights has 13 stipulations. The Germans have 29, the Belgians have 25, the Sweedish have only 6, and some people in the world have no rights at all. What kind of a fuckin' god damn god given deal is that!?...NO RIGHTS AT ALL!? Why would God give different people in different countries a different numbers of different rights? Boredom? Amusement? Bad arithmetic? Do we find out at long last after all this time that God is weak in math skills? Doesn't sound like divine planning to me. Sounds more like human planning . Sounds more like one group trying to control another group. In other words...business as usual in America. Now, if you think you do have rights, I have one last assignment for ya. Next time you're at the computer get on the Internet, go to Wikipedia. When you get to Wikipedia, in the search field for Wikipedia, i want to type in, "Japanese-Americans 1942" and you'll find out all about your precious fucking rights. Alright. You know about it. In 1942 there were 110,000 Japanese-American citizens, in good standing, law abiding people, who were thrown into internment camps simply because their parents were born in the wrong country. That's all they did wrong. They had no right to a lawyer, no right to a fair trial, no right to a jury of their peers, no right to due process of any kind. The only right they had was...right this way! Into the internment camps. Just when these American citizens needed their rights the most...their government took them away. and rights aren't rights if someone can take em away. They're priveledges. That's all we've ever had in this country is a bill of TEMPORARY priviledges; and if you read the news, even badly, you know the list get's shorter, and shorter, and shorter. Yeup, sooner or later the people in this country are going to realize the government doesn't give a fuck about them. the government doesn't care about you, or your children, or your rights, or your welfare or your safety. it simply doesn't give a fuck about you. It's interested in it's own power. That's the only thing...keeping it, and expanding wherever possible. Personally when it comes to rights, I think one of two things is true: either we have unlimited rights, or we have no rights at all.

As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid, but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid, but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer...

Godly education means that the sovereignty of God is the baseline fact of all further knowledge, so that even elementary addition problems—two plus two equals four—follow not from any internal logic but...an acknowledgment that Jesus invented and rules over math, that He is in fact "the reason for" math.

There are two moments in the course of education where a lot of kids fall off the math train. The first comes in the elementary grades, when fractions are introduced. Until that moment, a number is a natural number, one of the figures 0, 1, 2, 3 . . . It is the answer to a question of the form “how many.”* To go from this notion, so primitive that many animals are said to understand it, to the radically broader idea that a number can mean “what portion of,” is a drastic philosophical shift. (“God made the natural numbers,” the nineteenth-century algebraist Leopold Kronecker famously said, “and all the rest is the work of man.”) The second dangerous twist in the track is algebra. Why is it so hard? Because, until algebra shows up, you’re doing numerical computations in a straightforwardly algorithmic way. You dump some numbers into the addition box, or the multiplication box, or even, in traditionally minded schools, the long-division box, you turn the crank, and you report what comes out the other side. Algebra is different. It’s computation backward. When you’re asked to solve

Lots of people think that they’re a failure if their first or second or eighth cure for depression or anxiety doesn’t work the way they wanted. But an illness is an illness. It’s not your fault if the medication or therapy you’re given to treat your mental illness doesn’t work perfectly, or it worked for a while but then stopped working. You aren’t a math problem. You’re a person. What works for you won’t always work for me (and vice versa) but I do believe that there’s a treatment out there for everyone if you give yourself the time and patience to find it. Additionally, psychiatrists are always changing shit, so even they don’t know exactly what’s going on.

But I think that so many of the rest of us do what we can to avoid this math because if we do the subtraction, do the addition, our own personal sum will be unbearable sorrow, terror, and a feeling of being entirely out of control. I think many of us do what we can to avoid this math because we know that if we do the subtraction, do the addition, our psyches and our consciences and our lives will forever be changed; and we know that no matter how fierce the momentum that leads to this subtraction and addition, no matter our fears that we may be crushed (or perhaps more fearsome, ridiculed), that we will be led in some way to oppose the subtraction of life and the addition of toxics to this planet that is our only home.

5.4 The question of accumulation. If life is a wager, what form does it take? At the racetrack, an accumulator is a bet which rolls on profits from the success of one of the horse to engross the stake on the next one. 5.5 So a) To what extent might human relationships be expressed in a mathematical or logical formula? And b) If so, what signs might be placed between the integers?Plus and minus, self-evidently; sometimes multiplication, and yes, division. But these sings are limited. Thus an entirely failed relationship might be expressed in terms of both loss/minus and division/ reduction, showing a total of zero; whereas an entirely successful one can be represented by both addition and multiplication. But what of most relationships? Do they not require to be expressed in notations which are logically improbable and mathematically insoluble? 5.6 Thus how might you express an accumulation containing the integers b, b, a (to the first), a (to the second), s, v? B = s - v (*/+) a (to the first) Or a (to the second) + v + a (to the first) x s = b 5.7 Or is that the wrong way to put the question and express the accumulation? Is the application of logic to the human condition in and of itself self-defeating? What becomes of a chain of argument when the links are made of different metals, each with a separate frangibility? 5.8 Or is "link" a false metaphor? 5.9 But allowing that is not, if a link breaks, wherein lies the responsibility for such breaking? On the links immediately on the other side, or on the whole chain? But what do you mean by "the whole chain"? How far do the limits of responsibility extend? 6.0 Or we might try to draw the responsibility more narrowly and apportion it more exactly. And not use equations and integers but instead express matters in the traditional narrative terminology. So, for instance, if...." - Adrian Finn

A third positive result even further from the traditional tool kit of financial incentives comes from a recent randomized control trial conducted in the U.K., using the increasingly popular and low-cost method of text reminders. This intervention involved sending texts to half the parents in some school in advance of a major math test to let them know that their child had a test coming up in five days, then in three days, then in one day. The researchers call this approach “pre-informing.” The other half of parents did not receive the texts. The pre-informing texts increased student performance on the math test by the equivalent of one additional month of schooling, and students in the bottom quartile benefited most. These children gained the equivalent of two additional months of schooling, relative to the control group. Afterward, both parents and students said they wanted to stick with the program, showing that they appreciated being nudged. This program also belies the frequent claim, unsupported by any evidence, that nudges must be secret to be effective.

There are two moments in the course of education where a lot of kids fall off the math train. The first comes in the elementary grades, when fractions are introduced. Until that moment, a number is a natural number, one of the figures 0, 1, 2, 3 . . . It is the answer to a question of the form “how many.”* To go from this notion, so primitive that many animals are said to understand it, to the radically broader idea that a number can mean “what portion of,” is a drastic philosophical shift. (“God made the natural numbers,” the nineteenth-century algebraist Leopold Kronecker famously said, “and all the rest is the work of man.”) The second dangerous twist in the track is algebra. Why is it so hard? Because, until algebra shows up, you’re doing numerical computations in a straightforwardly algorithmic way. You dump some numbers into the addition box, or the multiplication box, or even, in traditionally minded schools, the long-division box, you turn the crank, and you report what comes out the other side. Algebra is different. It’s computation backward.

The math is revealing. The typical American with a $50,000 annual income would normally have an $850 house payment and a $495 car payment, with an additional $180 payment on the second car. Then there is a $165 student-loan payment; and the average credit-card debt is about $12,000, making those monthly payments around $185 per month. Also, this typical household will have other miscellaneous debt on things like furniture, stereos, or personal loans on which they pay an additional $120. All these payments total $1,995 per month. If this family were to invest that instead of sending it to the creditors, they would be cash mutual-fund millionaires in just fifteen years! (After fifteen years, it gets really exciting. They’ll have $2 million in five more years, $3 million in three more years, $4 million in two and a half more years, and $5.5 million in two more years. So they will have $5.5 million after twenty-eight years.) Keep in mind, this is with an average income, which means many of you make more than this! If you are thinking that you don’t have that many payments so your math won’t work, you missed the point. If you make $50,000 and have fewer payments, you have a head start, since you already have more control of your income than most people.

He’s threatening the President of the United States if we take you into custody?” Creek asked, his thoughts apparently in order. “Actually, it would be more like a declaration of war on the US government, if you abduct me.” “He thinks he can take on the entire US military?” Creek asked, incredulous. “General, he’s a lot more powerful than I thought.  He’s way beyond demigod status, more like elder god.  He can appear anywhere, anytime. His claws cut through anything. Who knows what else he can do!” Roma said, looking at me for additional information. I shrugged.  Hell, I didn’t know what he could do.  Elder god? “Christian, you could have avoided capture or escaped, right?” Tanya asked. “Yeah,” I said. “Okwari knows this?” she asked. “Yeah, but see, here’s the thing.  He spent a thousand years as a slave in Hell.  I set him free.  His math is pretty simple.” It was quiet for a moment, except for the personnel trying to clean up the lobby.  “Major Deckert, how are you hooked up in all this?” the general asked, obviously acquainted with the security chief. “I work for Ms. Demidova, General,” he said, rocking back on his heels, hands clasped behind his back.  “For what it’s worth, General, in my opinion, I wouldn’t touch Gordon here with a four-mile pole.” “You think that monster could really fight the government?” Creek asked. “Hell, Sir, I was talking about my employer.” He waved in Tanya’s direction. “I didn’t even know that thing existed.  But nothing surprises me with Gordon around.” I gave him my best glare, but it just bounced right off.

Violet’s not getting out of our sight,” Arion adds. There’s a moment of just staring…like everyone is trying to silently argue. “No one naked in my car,” Mom states when I just stand in my spot, waiting on them to hurry through the push and pull. You really can tell how thick the air is when too many alphas are in the room at one time, but weirdly it never feels this way when it’s just the four of them. Unless punches are thrown. Then it gets a little heavier than normal. Arion pulls on his clothes, and threads whir in the air as I quickly fashion Emit a lopsided toga that lands on his body. Everyone’s gaze swings to him like it’s weird for him and normal for me to be in a toga. Awesome. Damien muffles a sound, Emit arches an eyebrow at me, and Arion remains rigid, staying close to me but never touching me. All of us squeezing into a car together while most of them hate each other…should be fun. The storm finally stops before we board the elevator, and it’s one of those super awkward elevator moments where no one is looking at anyone or saying anything, and everyone is trying to stay in-the-moment serious. We stop on the floor just under us, after the longest thirty-five seconds ever. The doors open, and two men glance around at Emit and I in our matching togas, even though his is the fitted sheet and riding up in some funny places. He looks like a caveman who accidentally bleached and shrank his wardrobe. I palm my face, embarrassed for him. The next couple of floors are super awkward with the addition of the two new, notably uncomfortable men. Worst seventy-nine seconds ever. Math doesn’t add up? Yeah. I’m upset about those extra nine seconds as well. Poor Emit has to duck out of the unusually small elevator, and the bottom of his ass cheek plays peek-a-boo on one side. Damien finally snorts, and even Mom struggles to keep a straight face. That really pisses her off. “You’re seeing him on an off day,” I tell the two guys, who stare at my red boots for a second. I feel the need to defend Emit a little, especially since I now know he overheard all that gibberish Tiara was saying… I can’t remember all I said, and it’s worrying me now that my mind has gone off on this stupid tangent. I trip over the hem of my toga, and Arion snags me before I hit the floor, righting me and showing his hands to my mother with a quick grin. “Can’t just let her fall,” he says unapologetically. “You’re going to have to learn to deal with that,” she bites out. She has a very good point. I don’t trip very often, but things and people usually knock me around a good bit of my life. The two guys look like they want to run, so I hurry to fix this. “Really, it’s a long story, but I swear Emit—the tallest one in the fitted-sheet-toga—generally wears pants…er…I guess you guys call them trousers over here. Anyway, we had some plane problems,” I carry on, and then realize I have to account for the fact we’re both missing clothing. “Then there was a fire that miraculously only burned our clothes, because Emit put all my flames out by smothering me with his body,” I state like that’s exactly what happened. Why do they look so scared? I’m not telling a scary lie. At this point, I’ve just made it worse, and fortunately Damien takes mercy, clamping his hand over my mouth as he starts steering me toward the door before I can make it…whatever comes after worse but before the worst. “Thank you,” sounds more like “Mmdi ooooo,” against his hand, but he gets the gist, as he grins. Mom makes a frustrated sound. “Another minute, and she’d be bragging about his penis size in quest to save his dignity. Did you really want to hear that?” Damien asks her, forcing me to groan against his hand.

The radial patterning of Protestantism allows us to use a county’s proximity to Wittenberg to isolate—in a statistical sense—that part of the variation in Protestantism that we know is due to a county’s proximity to Wittenberg and not to greater literacy or other factors. In a sense, we can think of this as an experiment in which different counties were experimentally assigned different dosages of Protestantism to test for its effects. Distance from Wittenberg allows us to figure out how big that experimental dosage was. Then, we can see if this “assigned” dosage of Protestantism is still associated with greater literacy and more schools. If it is, we can infer from this natural experiment that Protestantism did indeed cause greater literacy.16 The results of this statistical razzle-dazzle are striking. Not only do Prussian counties closer to Wittenberg have higher shares of Protestants, but those additional Protestants are associated with greater literacy and more schools. This indicates that the wave of Protestantism created by the Reformation raised literacy and schooling rates in its wake. Despite Prussia’s having a high average literacy rate in 1871, counties made up entirely of Protestants had literacy rates nearly 20 percentile points higher than those that were all Catholic.18 FIGURE P.2. The percentage of Protestants in Prussian counties in 1871.17 The map highlights some German cities, including the epicenter of the Reformation, Wittenberg, and Mainz, the charter town where Johannes Gutenberg produced his eponymous printing press. These same patterns can be spotted elsewhere in 19th-century Europe—and today—in missionized regions around the globe. In 19th-century Switzerland, other aftershocks of the Reformation have been detected in a battery of cognitive tests given to Swiss army recruits. Young men from all-Protestant districts were not only 11 percentile points more likely to be “high performers” on reading tests compared to those from all-Catholic districts, but this advantage bled over into their scores in math, history, and writing. These relationships hold even when a district’s population density, fertility, and economic complexity are kept constant. As in Prussia, the closer a community was to one of the two epicenters of the Swiss Reformation—Zurich or Geneva—the more Protestants it had in the 19th century. Notably, proximity to other Swiss cities, such as Bern and Basel, doesn’t reveal this relationship. As is the case in Prussia, this setup allows us to finger Protestantism as driving the spread of greater literacy as well as the smaller improvements in writing and math abilities.

Take a look at the following list of numbers: 4, 8, 5, 3, 9, 7, 6. Read them out loud. Now look away and spend twenty seconds memorizing that sequence before saying them out loud again. If you speak English, you have about a 50 percent chance of remembering that sequence perfectly. If you're Chinese, though, you're almost certain to get it right every time. Why is that? Because as human beings we store digits in a memory loop that runs for about two seconds. We most easily memorize whatever we can say or read within that two-second span. And Chinese speakers get that list of numbers—4, 8, 5, 3, 9, 7, 6—right almost every time because, unlike English, their language allows them to fit all those seven numbers into two seconds. That example comes from Stanislas Dehaene's book The Number Sense. As Dehaene explains: Chinese number words are remarkably brief. Most of them can be uttered in less than one-quarter of a second (for instance, 4 is "si" and 7 "qi"). Their English equivalents—"four," "seven"—are longer: pronouncing them takes about one-third of a second. The memory gap between English and Chinese apparently is entirely due to this difference in length. In languages as diverse as Welsh, Arabic, Chinese, English and Hebrew, there is a reproducible correlation between the time required to pronounce numbers in a given language and the memory span of its speakers. In this domain, the prize for efficacy goes to the Cantonese dialect of Chinese, whose brevity grants residents of Hong Kong a rocketing memory span of about 10 digits. It turns out that there is also a big difference in how number-naming systems in Western and Asian languages are constructed. In English, we say fourteen, sixteen, seventeen, eighteen, and nineteen, so one might expect that we would also say oneteen, twoteen, threeteen, and five- teen. But we don't. We use a different form: eleven, twelve, thirteen, and fifteen. Similarly, we have forty and sixty, which sound like the words they are related to (four and six). But we also say fifty and thirty and twenty, which sort of sound like five and three and two, but not really. And, for that matter, for numbers above twenty, we put the "decade" first and the unit number second (twentyone, twenty-two), whereas for the teens, we do it the other way around (fourteen, seventeen, eighteen). The number system in English is highly irregular. Not so in China, Japan, and Korea. They have a logical counting system. Eleven is ten-one. Twelve is ten-two. Twenty-four is two- tens-four and so on. That difference means that Asian children learn to count much faster than American children. Four-year-old Chinese children can count, on average, to forty. American children at that age can count only to fifteen, and most don't reach forty until they're five. By the age of five, in other words, American children are already a year behind their Asian counterparts in the most fundamental of math skills. The regularity of their number system also means that Asian children can perform basic functions, such as addition, far more easily. Ask an English-speaking seven-yearold to add thirty-seven plus twenty-two in her head, and she has to convert the words to numbers (37+22). Only then can she do the math: 2 plus 7 is 9 and 30 and 20 is 50, which makes 59. Ask an Asian child to add three-tensseven and two-tens-two, and then the necessary equation is right there, embedded in the sentence. No number translation is necessary: It's five-tens-nine. "The Asian system is transparent," says Karen Fuson, a Northwestern University psychologist who has closely studied Asian-Western differences. "I think that it makes the whole attitude toward math different. Instead of being a rote learning thing, there's a pattern I can figure out. There is an expectation that I can do this. There is an expectation that it's sensible. For fractions, we say three-fifths. The Chinese is literally 'out of five parts, take three.' That's telling you conceptually

One might think that math aptitude would apply across the code-writing world, but this was not so. The logical operations of a computer, while abstract, were abstract in a familiar way. When computers added two numbers together, for instance, they did so in much the same way as people do: One plus one equals two. A computer performed this addition faster than a person, but the route to the answer was the same. This was not so with graphics. When an ordinary person (as opposed to a civil engineer) wanted to draw a circle, he did not apply a special algorithm to his choice of a diameter. He just drew a circle with his hand. Having no hands, computers drew circles—and all the other shapes—by applying mathematical formulas. The better the formulas, the more accurate and versatile the shapes.

The remaining part of the first description consist of low-energy open strings moving on the three-branes. We recall from Chapter 4 that low-energy strings are well described by point particle quantum field theory, and that is the case here. The particular kind of quantum field theory involves a number of sophisticated mathematical ingredients (and it has an ungainly characterization: conformally invariant supersymmetric quantum gauge field theory), but two vital characteristics are readily understood. The absence of closed strings ensures the absence of the gravitational field. And, because the strings can move only on the tightly sandwiched three-dimensional branes, the quantum field theory lives in three spatial dimensions (in addition to the one dimension of time, for a total of four spacetime dimensions). The remaining part of the second description consists of closed strings, executing any vibrational pattern, as long as they are close enough to the black branes' event horizon to appear lethargic-that is, to appear to have low energy. Such strings, although limited in how far they stray from the black stack, still vibrate and move through nine dimensions of space (in addition to one dimension of time, for a total of ten spacetime dimensions). And because this sector is built from closed strings, it contains the force of gravity. However different the two perspectives might seem, they're describing one and the same physical situation, so they must agree. This leads to a thoroughly bizarre conclusion. A particular nongravitational, point particle quantum field theory in four spacetime dimensions (the first perspective) describes the same physics as strings, including gravity, moving through a particular swath of ten spacetime dimensions (the second perspective). This would seem as far-fetched as claiming...Well, honestly, I've tried, and I can't come up with any two things int he real world more dissimilar than these two theories. But Maldacena followed the math, in the manner we've outlined, and ran smack into this conclusion. The sheer strangeness of the result-and the audacity of the claim-isn't lessened by the fact that it takes but a moment to place it within the line of thought developed earlier in this chapter. As schematically illustrated in Figure 9.5, the gravity of the black brane slab imparts a curved shape to the ten-dimensional spacetime swath in its vicinity (the details are secondary, but the curved spacetime is called anti-de Sitter five-space times the five sphere); the black brane is itself the boundary of this space. And so, Maldacena's result is that string theory within the bulf of this spacetime shape is identical to a quantum field theory living on its boundary. This is holography come to life.

Just like how Python comes with several modules like random, math, or time that provide additional functions for your programs, the Pygame framework includes several modules with functions for drawing graphics, playing sounds, handling mouse input, and other things.

1: 1 Name ________ Date ________ 3 8 3 + 7 + 8 + 4

Unfortunately, companies that become large and successful find that maintaining growth becomes progressively more difficult. The math is simple: A $40 million company that needs to grow profitably at 20 percent to sustain its stock price and organizational vitality needs an additional $8 million in revenues the first year, $9.6 million the following year, and so on; a $400 million company with a 20 percent targeted growth rate needs new business worth $80 million in the first year, $96 million in the next, and so on; and a $4 billion company with a 20 percent goal needs to find $800 million, $960 million, and so on, in each successive year.

Sum Fibonacci Style Sequences Create A 3x3 Magic Square Create A 4x4 Magic Square From Your Birthday Convert A Decimal Number To Binary The Egyptian Method / Russian Peasant Multiplication Extract Cube Roots Extract Fifth Roots Extract Odd-Powered Roots Conclusion More From Presh Talwalkar Why Learn Mental Math Tricks? Mental math has a mixed reputation. Some consider it useless because calculators and computers can solve problems faster, with assured accuracy. Additionally, mental math is not even necessary to get good grades in math or to pursue a professional math career. So what's the point of learning mental math and math tricks anyway? There are many reasons why mental math is still useful. For one, math skills are needed for regular tasks like calculating the tip in a restaurant or comparison shopping to find the best deal. Second, mental math tricks are one of the few times people enjoy talking about math. Third, mental math methods can help students build confidence with math and numbers. Mental math tricks are fun to share. Imagine your friend asks you to multiply 93 and 97, and before

Addition by subtraction—my favorite kind of math.

We’re in a small boat with Russia, Hungary, and the Slovak Republic. Who’s at the very top? Shanghai, Hong Kong, Singapore, and Taiwan. According to the study, the math performance of fifteen-year-olds in Shanghai was “over two years . . . ahead of those . . . in Massachusetts,” even though "strong-performing U.S. states.” The somewhat comforting suggestion that our low scores were just the result of a high proportion of poor performers pulling down our average doesn’t work. The United States also has significantly fewer “top performers in math.” For instance, fewer than 9 percent of U.S. students scored “advanced” in math, compared to a whopping 55 percent of students in Shanghai, 40 percent in Singapore, and more than 16 percent in Canada. The lag in math scores in fifteen-year-old Americans can be traced, in stages, back to eighth grade, then to fourth grade, then to first grade and even kindergarten. Chinese children, on the other hand, have been shown to excel early on in math, in addition, subtraction, counting, and even the ability to position a specific number correctly on a line between 0 and 100. Chinese kindergarteners have been found to have skills similar to U.S. second graders for number estimation.

Worksheets There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. The companion ebook allows you to take print outs of these worksheets instantly or you can save them for later use. The learner can significantly improve math knowledge

A third positive result even further from the traditional tool kit of financial incentives comes from a recent randomized control trial conducted in the U.K., using the increasingly popular and low-cost method of text reminders. This intervention involved sending texts to half the parents in some school in advance of a major math test to let them know that their child had a test coming up in five days, then in three days, then in one day. The researchers call this approach “pre-informing.” The other half of parents did not receive the texts. The pre-informing texts increased student performance on the math test by the equivalent of one additional month of schooling, and students in the bottom quartile benefited most. These children gained the equivalent of two additional months of schooling, relative to the control group. Afterward, both parents and students said they wanted to stick with the program, showing that they appreciated being nudged.

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How to live (forty pieces of advice I feel to be helpful but which I don’t always follow) 1. Appreciate happiness when it is there 2. Sip, don’t gulp. 3. Be gentle with yourself. Work less. Sleep more. 4. There is absolutely nothing in the past that you can change. That’s basic physics. 5. Beware of Tuesdays. And Octobers. 6. Kurt Vonnegut was right. “Reading and writing are the most nourishing forms of meditation anyone has so far found.” 7. Listen more than you talk. 8. Don’t feel guilty about being idle. More harm is probably done to the world through work than idleness. But perfect your idleness. Make it mindful. 9. Be aware that you are breathing. 10. Wherever you are, at any moment, try to find something beautiful. A face, a line out of a poem, the clouds out of a window, some graffiti, a wind farm. Beauty cleans the mind. 11. Hate is a pointless emotion to have inside you. It is like eating a scorpion to punish it for stinging you. 12. Go for a run. Then do some yoga. 13. Shower before noon. 14. Look at the sky. Remind yourself of the cosmos. Seek vastness at every opportunity, in order to see the smallness of yourself. 15. Be kind. 16. Understand that thoughts are thoughts. If they are unreasonable, reason with them, even if you have no reason left. You are the observer of your mind, not its victim. 17. Do not watch TV aimlessly. Do not go on social media aimlessly. Always be aware of what you are doing and why you are doing it. Don’t value TV less. Value it more. Then you will watch it less. Unchecked distractions will lead you to distraction. 18. Sit down. Lie down. Be still. Do nothing. Observe. Listen to your mind. Let it do what it does without judging it. Let it go, like Snow Queen in Frozen. 19. Don’t’ worry about things that probably won’t happen. 20. Look at trees. Be near trees. Plant trees. (Trees are great.) 21. Listen to that yoga instructor on YouTube, and “walk as if you are kissing the earth with your feet”. 22. Live. Love. Let go. The three Ls. 23. Alcohol maths. Wine multiplies itself by itself. The more you have, the more you are likely to have. And if it is hard to stop at one glass, it will be impossible at three. Addition is multiplication. 24. Beware of the gap. The gap between where you are and where you want to be. Simply thinking of the gap widens it. And you end up falling through. 25. Read a book without thinking about finishing it. Just read it. Enjoy every word, sentence, and paragraph. Don’t wish for it to end, or for it to never end. 26. No drug in the universe will make you feel better, at the deepest level, than being kind to other people. 27. Listen to what Hamlet – literature’s most famous depressive – told Rosencrantz and Guildenstern. “There is nothing either good or bad, but thinking makes it so.” 28. If someone loves you, let them. Believe in that love. Live for them, even when you feel there is no point. 29. You don’t need the world to understand you. It’s fine. Some people will never really understand things they haven’t experienced. Some will. Be grateful. 30. Jules Verne wrote of the “Living Infinite”. This is the world of love and emotion that is like a “sea”. If we can submerge ourselves in it, we find infinity in ourselves, and the space we need to survive. 31. Three in the morning is never the time to try and sort out your life. 32. Remember that there is nothing weird about you. You are just a human, and everything you do and feel is a natural thing, because we are natural animals. You are nature. You are a hominid ape. You are in the world and the world is in you. Everything connects. 33. Don’t believe in good or bad, or winning and losing, or victory and defeat, or ups and down. At your lowest and your highest, whether you are happy or despairing or calm or angry, there is a kernel of you that stays the same. That is the you that matters.

Division and subtraction are not required in a friendship or marriage. Only addition and multiplication of great things.

This book is a collection of answers to hypothetical questions. These questions were submitted to me through my website, where—in addition to serving as a sort of Dear Abby for mad scientists—I draw xkcd, a stick-figure webcomic. I didn’t start out making comics. I went to school for physics, and after graduating, I worked on robotics at NASA. I eventually left NASA to draw comics full-time, but my interest in science and math didn’t fade. Eventually, it found a new outlet: answering the Internet’s weird—and sometimes worrying—questions.

...although confederations are meant to attract and collaborate with allies, the word confederation, although correlated with uniting allies, seems to be more so connected with making enemies. It’s just an elementary math and logic problem---7.9 billion people are in the world population, so it is mathematically supported that it would be improbable for all 7.9 billion people to agree with each other. In addition, “confederation” actually seems to add to division, because confederations are alliances where people with same/similar interests are united and organized, and in order for there to be an alliance of people with same/similar interests, there has to be people with interests that differ from theirs. Otherwise, they should not have made an alliance dedicated to one particular interest. If everyone agreed with them, they wouldn’t need to create an alliance.

Do you see?” asked Renee. “I’ve just disproved most of mathematics: it’s all meaningless now.” She was getting agitated, almost distraught; Carl chose his words carefully. “How can you say that? Math still works. The scientific and economic worlds aren’t suddenly going to collapse from this realization.” “That’s because the mathematics they’re using is just a gimmick. It’s a mnemonic trick, like counting on your knuckles to figure out which months have thirty-one days.” “That’s not the same.” “Why isn’t it? Now mathematics has absolutely nothing to do with reality. Never mind concepts like imaginaries or infinitesimals. Now goddamn integer addition has nothing to do with counting on your fingers. One and one will always get you two on your fingers, but on paper I can give you an infinite number of answers, and they’re all equally valid, which means they’re all equally invalid. I can write the most elegant theorem you’ve ever seen, and it won’t mean any more than a nonsense equation.” She gave a bitter laugh. “The positivists used to say all mathematics is a tautology. They had it all wrong: it’s a contradiction.” Carl tried a different approach. “Hold on. You just mentioned imaginary numbers. Why is this any worse than what went on with those? Mathematicians once believed they were meaningless, but now they’re accepted as basic. This is the same situation.” “It’s not the same. The solution there was to simply expand the context, and that won’t do any good here. Imaginary numbers added something new to mathematics, but my formalism is redefining what’s already there.” “But if you change the context, put it in a different light—” She rolled her eyes. “No! This follows from the axioms as surely as addition does; there’s no way around it. You can take my word for it.” 7

The math is revealing. The typical American with a $50,000 annual income would normally have an $850 house payment and a $495 car payment, with an additional $180 payment on the second car. Then there is a $165 student-loan payment; and the average credit-card debt is about $12,000, making those monthly payments around $185 per month. Also, this typical household will have other miscellaneous debt on things like furniture, stereos, or personal loans on which they pay an additional $120. All these payments total $1,995 per month. If this family were to invest that instead of sending it to the creditors, they would be cash mutual-fund millionaires in just fifteen years! (After fifteen years, it gets really exciting. They’ll have $2 million in five more years, $3 million in three more years, $4 million in two and a half more years, and $5.5 million in two more years. So they will have $5.5 million after twenty-eight years.) Keep in mind, this is with an average income, which means many of you make more than this!

understand that one plus one equals two, and two is more than one. My math skills far outreach addition. But more doesn’t always equal love.

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7. In a city there are 4300 light vehicles

The new boats created unprecedented career opportunities for those already in the elite nuclear submarine force and gave migraines to personnel specialists who had to find trained crewmen. During the Scorpion's first seven years, the navy constructed and commissioned twenty-five nuclear attack submarines and thirty-nine Polaris missile boats. Each Polaris submarine had two crews of seventeen officers and 128 enlisted men. The math was brutal: The navy had to recruit and train 103 additional submarine crews during the eighty-four-month period that the shipyards were cranking out Polaris missile submarines and nuclear attack boats.

It might surprise you to know that, for the most part, finance involves addition and subtraction. When finance people get really fancy, they multiply and divide. We never have to take the second derivative of a function or determine the area under a curve (sorry, engineers). So have no fear: the math is easy. And calculators are cheap. You don't need to be a rocket scientist to be financially intelligent.

The pipedream that a publishing house is just going to swoop in, save the day, and bring you tea and crumpets all afternoon while you stare out the window working on the next great American novel is dead. It doesn’t exist. Hemingway had a good run, but as soon as the internet was invented, that era came to an end. Today, the writers who succeed, and who actually make money, are more than just writers. They are brands. They are solo-run companies. They are the publisher, the creative director, the distributor, and the writer, all wrapped up into one—and they embrace the additional responsibility, because it means they have more monetary ownership and creative control over their work. Instead of shying away from this new world, and wishing things were different, I encourage you to welcome it with open arms. Either way, this is the direction the publishing world is headed. So as my 8th grade math teacher used to say, “You can either get on the bus, or you can get off of the bus. Either way, we’re leaving.