Algebra Equations Quotes

Ladies and gentlemen of the class of '97: Wear sunscreen. If I could offer you only one tip for the future, sunscreen would be it. The long-term benefits of sunscreen have been proved by scientists, whereas the rest of my advice has no basis more reliable than my own meandering experience. I will dispense this advice now. Enjoy the power and beauty of your youth. Oh, never mind. You will not understand the power and beauty of your youth until they've faded. But trust me, in 20 years, you'll look back at photos of yourself and recall in a way you can't grasp now how much possibility lay before you and how fabulous you really looked. You are not as fat as you imagine. Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

Ladies and gentlemen of the class of '97: Wear sunscreen. If I could offer you only one tip for the future, sunscreen would be it. The long-term benefits of sunscreen have been proved by scientists, whereas the rest of my advice has no basis more reliable than my own meandering experience. I will dispense this advice now. Enjoy the power and beauty of your youth. Oh, never mind. You will not understand the power and beauty of your youth until they've faded. But trust me, in 20 years, you'll look back at photos of yourself and recall in a way you can't grasp now how much possibility lay before you and how fabulous you really looked. You are not as fat as you imagine. Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 pm on some idle Tuesday. Do one thing everyday that scares you. Sing. Don't be reckless with other people's hearts. Don't put up with people who are reckless with yours. Floss. Don't waste your time on jealousy. Sometimes you're ahead, sometimes you're behind. The race is long and, in the end, it's only with yourself. Remember compliments you receive. Forget the insults. If you succeed in doing this, tell me how. Keep your old love letters. Throw away your old bank statements. Stretch. Don't feel guilty if you don't know what you want to do with your life. The most interesting people I know didn't know at 22 what they wanted to do with their lives. Some of the most interesting 40-year-olds I know still don't. Get plenty of calcium. Be kind to your knees. You'll miss them when they're gone. Maybe you'll marry, maybe you won't. Maybe you'll have children, maybe you won't. Maybe you'll divorce at 40, maybe you'll dance the funky chicken on your 75th wedding anniversary. Whatever you do, don't congratulate yourself too much, or berate yourself either. Your choices are half chance. So are everybody else's. Enjoy your body. Use it every way you can. Don't be afraid of it or of what other people think of it. It's the greatest instrument you'll ever own. Dance, even if you have nowhere to do it but your living room. Read the directions, even if you don't follow them. Do not read beauty magazines. They will only make you feel ugly. Get to know your parents. You never know when they'll be gone for good. Be nice to your siblings. They're your best link to your past and the people most likely to stick with you in the future. Understand that friends come and go, but with a precious few you should hold on. Work hard to bridge the gaps in geography and lifestyle, because the older you get, the more you need the people who knew you when you were young. Live in New York City once, but leave before it makes you hard. Live in Northern California once, but leave before it makes you soft. Travel. Accept certain inalienable truths: Prices will rise. Politicians will philander. You, too, will get old. And when you do, you'll fantasize that when you were young, prices were reasonable, politicians were noble, and children respected their elders. Respect your elders. Don't expect anyone else to support you. Maybe you have a trust fund. Maybe you'll have a wealthy spouse. But you never know when either one might run out. Don't mess too much with your hair or by the time you're 40 it will look 85. Be careful whose advice you buy, but be patient with those who supply it. Advice is a form of nostalgia. Dispensing it is a way of fishing the past from the disposal, wiping it off, painting over the ugly parts and recycling it for more than it's worth. But trust me on the sunscreen.

Enjoy the power and beauty of your youth; oh nevermind; you will not understand the power and beauty of your youth until they have faded. But trust me, in 20 years you’ll look back at photos of yourself and recall in a way you can’t grasp now how much possibility lay before you and how fabulous you really looked….You’re not as fat as you imagine. Don’t worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4pm on some idle Tuesday. Do one thing everyday that scares you Sing Don’t be reckless with other people’s hearts, don’t put up with people who are reckless with yours. Floss Don’t waste your time on jealousy; sometimes you’re ahead, sometimes you’re behind…the race is long, and in the end, it’s only with yourself. Remember the compliments you receive, forget the insults; if you succeed in doing this, tell me how. Keep your old love letters, throw away your old bank statements. Stretch Don’t feel guilty if you don’t know what you want to do with your life…the most interesting people I know didn’t know at 22 what they wanted to do with their lives, some of the most interesting 40 year olds I know still don’t. Get plenty of calcium. Be kind to your knees, you’ll miss them when they’re gone. Maybe you’ll marry, maybe you won’t, maybe you’ll have children,maybe you won’t, maybe you’ll divorce at 40, maybe you’ll dance the funky chicken on your 75th wedding anniversary…what ever you do, don’t congratulate yourself too much or berate yourself either – your choices are half chance, so are everybody else’s. Enjoy your body, use it every way you can…don’t be afraid of it, or what other people think of it, it’s the greatest instrument you’ll ever own.. Dance…even if you have nowhere to do it but in your own living room. Read the directions, even if you don’t follow them. Do NOT read beauty magazines, they will only make you feel ugly. Get to know your parents, you never know when they’ll be gone for good. Be nice to your siblings; they are the best link to your past and the people most likely to stick with you in the future. Understand that friends come and go,but for the precious few you should hold on. Work hard to bridge the gaps in geography and lifestyle because the older you get, the more you need the people you knew when you were young.

Worrying about the future is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life will always be things that never crossed your worried mind.

What grinds me the most is we're sending kids out into the world who don't know how to balance a checkbook, don't know how to apply for a loan, don't even know how to properly fill out a job application, but because they know the quadratic formula we consider them prepared for the world` With that said, I'll admit even I can see how looking at the equation x -3 = 19 and knowing x =22 can be useful. I'll even say knowing x =7 and y= 8 in a problem like 9x - 6y= 15 can be helpful. But seriously, do we all need to know how to simplify (x-3)(x-3i)?? And the joke is, no one can continue their education unless they do. A student living in California cannot get into a four-year college unless they pass Algebra 2 in high school. A future psychologist can't become a psychologist, a future lawyer can't become a lawyer, and I can't become a journalist unless each of us has a basic understanding of engineering. Of course, engineers and scientists use this shit all the time, and I applaud them! But they don't take years of theater arts appreciation courses, because a scientist or an engineer doesn't need to know that 'The Phantom of the Opoera' was the longest-running Broadway musical of all time. Get my point?

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

I deliberately and consciously give preference to a dramatic, mythological way of thinking and speaking, because this is not only more expressive but also more exact than an abstract scientific terminology, which is wont to toy with the notion that its theoretic formulations may one fine day be resolved into algebraic equations.

In essence, the algebra mindset transformed broken situations into dynamic opportunities for lasting impact. And it did so with elegant equations, precise numerals, and dynamic efficiency. The world would never be the same.

The complexity of economics can be calculated mathematically. Write out the algebraic equation that is the human heart and multiply each unknown by the population of the world.

I look at the hundreds of algebra problems facing me in the next three days. And here I thought I’d figured out the equation to my happiness.

I think what's happened, Marlee, is that you've realized the world isn't an addition problem. We tell kids that sometimes. We pretend the world is straightforward, simple, easy. You do this, you get that. You're a good person and try your best, and nothing bad will happen. But the truth is, the world is much more like an algebraic equation. With variables and changes, complicated and messy. Sometimes there's more than one answer, and sometimes there is none. Sometimes we don't even know how to solve the problem. But usually, if we take things step by step, we can figure things out. You just have to remember to factor the equation, break it down into smaller parts.

Relationships are like an algebraic equations:what happens on one side affect the other.

You can't approach business the same way you approach an algebra equation or something. When you're considering the viability of a business, you have to also consider the psychology of human beings, the logistics of peoples emotions, cultural factors, sociopolitical factors, peoples habits, and more. There's a lot to consider when you're thinking about what people are going to pay for and how much they'll pay and why they'll pay and what they really value.

goal-directed self-imposed delay of gratification" is perhaps the essence of emotional self-regulation: the ability to deny impulse in the service of a goal, whether it be building a business, solving an algebraic equation, or pursuing the Stanley Cup. His finding underscores the role of emotional intelligence as a meta-ability, determining how well or how poorly people are able to use their other mental capacities.

What if Loves are analogous to math? First, arithmetic, then geometry and algebra, then trig and quadratics…

If one divided all of human science into two parts - the one common to all men, the other particular to the learned - the latter would be quite small in comparison with the former. But we are hardly aware of what is generally attained, because it is attained without thought and even before the age of reason; because, moreover, learning is noticed only by its differences, and as in algebraic equations, common quantities count for nothing.

Did something happen to you in the dark, Sam?'. They always wanted to know. Because they assumed all fear must come from a thing or a place. An event. Cause and effect. Like fear was part of an algebra equation. No, no, no, so not getting the point of fear. Because fear wasn't about what made sense. Fear was about possibilities. Not things that happened. Things that might." -Sam

Since September, I sat one seat behind Anna in algebra. Passed papers to her every day. Studied for tons of tests together. Though it often seemed impossible, Eventually, We always found the unknown for X. But not this time. This equation Bounces against my brain. And sneers at all attempted answers. I know I'll re-examine the variables, And reanalyze the unknowns, maybe forever. But It won't matter. Because, Anna- I know I'll never figure out Y. Y you didn't want to live- And Y I never noticed.

In the early part of the ninth century, Muhammad ibn Musa al-Khwarizmi, a mathematician working in Baghdad, wrote a seminal textbook in which he highlighted the usefulness of restoring a quantity being subtracted (like 2, above) by adding it to the other side of an equation. He called this process al-jabr (Arabic for “restoring”), which later morphed into “algebra.” Then, long after his death, he hit the etymological jackpot again. His own name, al-Khwarizmi, lives on today in the word “algorithm.

She told us the two sides of an equation are in love with each other. To stay in love, they have to maintain their balance. What one loses, the other must lose. What one accepts, the other must accept. I felt like she defined love and algebra for me at the same time.

The Babylonians had achieved great competence in arithmetic, using a number system based on 60 rather than 10. They had also developed some simple techniques of algebra, such as rules (though these were not expressed in symbols) for solving various quadratic equations.

Walter amused them with a story of one of his students who had been caught cheating; the boy wrote some formulas for algebraic equations on his hand, and then rested his cheek in the same hand, as he worked on the exam, only to finish with the inked answers stamped across his face.

He turned out to be good in geometry, but he never mastered the use of equations or the rudimentary algebra that existed at the time.

All these pulls on me that cancel one another out like an algebraic equation I can't solve.

Love is mathematically just. — Love, and you shall be loved — all love is mathematically just, as much as the two sides of an algebraic equation.

Dr. Ransome marked the exercises in the algebra textbook and gave him two strips of rice-paper bandage on which to solve the simultaneous equations. As he stood up, Dr. Ransome removed the three tomatoes from Jim's pocket. He laid them on the table by the wax tray. 'Did they come from the hospital garden?' 'Yes.' Jim gazed back frankly at Dr. Ransome. Recently he had begun to see him with a more adult eye. The long years of imprisonment, the constant disputes with the Japanese had made this young physician seem middle-aged. Dr. Ransome was often unsure of himself, as he was of Jim's theft. 'I have to give Basie something whenever I see him.' 'I know. It's a good thing that you're friends with Basie. He's a survivor, though survivors can be dangerous. Wars exist for people like Basie.' Dr. Ransome placed the tomatoes in Jim's hand. 'I want you to eat them, Jim. I'll get you something for Basie.

We can channel this, too. We needn’t scramble like we’re so often inclined to do when some difficult task sits in front of us. Remember the first time you saw a complicated algebra equation? It was a jumble of symbols and unknowns. But then you stopped, took a deep breath, and broke it down. You isolated the variables, solved for them, and all that was left was the answer.

Enjoy the power and beauty of your youth; oh never mind; you will not understand the power and beauty of your youth until they have faded. But trust me, in 20 years you’ll look back at photos of yourself and recall in a way you can’t grasp now how much possibility lay before you and how fabulous you really looked. You’re not as fat as you imagine. Don’t worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4pm on some idle Tuesday. Do one thing everyday that scares you. Sing. Don’t be reckless with other people’s hearts, don’t put up with people who are reckless with yours. Floss. Don’t waste your time on jealousy; sometimes you’re ahead, sometimes you’re behind, the race is long, and in the end, it’s only with yourself. Remember the compliments you receive, forget the insults; if you succeed in doing this, and tell me how. Keep your old love letters; throw away your old bank statements. Stretch. Don’t feel guilty if you don’t know what you want to do with your life.

About 4,400 years ago 8 people stepped off Noah’s ark. According to the United Nations Population Growth Statistics, the world’s population grows at about .47% per year. That is the growth rate for all civilizations who kept records. Suppose you put $8.00 in the bank 4,400 years ago and received .47% a year. How much money would you have? What a coincidence! It would be about $7,000,000,000. That’s kind of odd, because 4,400 years ago 8 people stepped off the ark and now we have about 7,000,000,000 people on planet earth. God’s math works! Compound interest is something we teach to seventh-graders. You don’t have to be a professor to figure this out. A twelve-year-old can do the calculation. Ask any seventh-grader, the algebraic equation looks like this: A=P (1+r/n)t . . . where "A " is the ending amount (about 7,000,000,000 in this case), "P " is the beginning amount (8 in this case), "r " is the interest rate (.47% in this case), "n " is the number of compoundings a year (1 in this case), and "t " is the total number of years (4,400 in this case).

But Miss Ferguson preferred science over penmanship. Philosophy over etiquette. And, dear heavens preserve them all, mathematics over everything. Not simply numbering that could see a wife through her household accounts. Algebra. Geometry. Indecipherable equations made up of unrecognizable symbols that meant nothing to anyone but the chit herself. It was enough to give Miss Chase hives. The girl wasn’t even saved by having any proper feminine skills. She could not tat or sing or draw. Her needlework was execrable, and her Italian worse. In fact, her only skills were completely unacceptable, as no one wanted a wife who could speak German, discuss physics, or bring down more pheasant than her husband.

She had always consciously or unconsciously formed fear into a simple equation: fear = unknown. And to solve the equation, one simply reduced the problem to simple algebraic terms, thus: unknown = creaky board (or whatever), creaky board = nothing to be afraid of. In the modern world all terrors could be gutted by simple use of the transitive axiom of equality. Some fears were justified, of course (you don’t drive when you’re too plowed to see, don’t extend the hand of friendship to snarling dogs, don’t go parking with boys you don’t know – how did the old joke go? Screw or walk?), but until now she had not believed that some fears were larger than comprehension, apocalyptic and nearly paralyzing. This equation was insoluble. The act of moving forward at all became heroism.

Each week I plot your equations dot for dot, xs against ys in all manner of algebraical relation, and every week they draw themselves as commonplace geometry, as if the world of forms were nothing but arcs and angles. God’s truth, Septimus, if there is an equation for a curve like a bell, there must be an equation for one like a bluebell, and if a bluebell, why not a rose? Do we believe nature is written in numbers? Septimus We do. Thomasina Then why do your equations only describe the shapes of manufacture? Septimus I do not know. Thomasina Armed thus, God could only make a cabinet.

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school—roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply.

The earliest known work in Arabic arithmetic was written by al-Khowârizmî, a mathematician who lived around 825, some four hundred years before Fibonacci.11 Although few beneficiaries of his work are likely to have heard of him, most of us know of him indirectly. Try saying “al-Khowârizmî” fast. That’s where we get the word “algorithm,” which means rules for computing.12 It was al-Khowârizmî who was the first mathematician to establish rules for adding, subtracting, multiplying, and dividing with the new Hindu numerals. In another treatise, Hisâb al-jabr w’ almuqâbalah, or “Science of transposition and cancellation,” he specifies the process for manipulating algebraic equations. The word al-jabr thus gives us our word algebra, the science of equations.13

Grandad taught me that the alien signs and symbols of algebraic equations were not just marks on paper. They were not flat. They were three-dimensional, and you could approach them from different directions, look at them from different ways, stand them on their heads. You could take them apart and put them back together in a variety of shapes, like Legos. I stopped being scared of them.

As early as the 1830s Charles Babbage had managed to construct a “Difference Engine” which could perform simple sums, but he soon became preoccupied with the far more complicated “Analytical Engine” which could add, subtract, multiply and divide as well as solve both algebraic and numerical equations; it had also been able to print out the results of its calculations onto stereotype plates. This was the engine which Gissing had come to see.

Forget it, we can do it another time.” I turn around to go back into my parents’ room, but Mom catches my hand. She knows I may never feel ready to do this, that I may keep finding excuses to push this off until long after my dad is gone, and then maybe I’ll go to his grave and come out. But the time has to be now so I can feel as comfortable in my home as I am chilling with Collin. “Mark,” Mom says again. His eyes are still on the TV. I take a deep breath. “Dad, I hope you’re cool with this, but I sort of, kind of am dating someone and . . .” I can already see him getting confused, like I’m challenging him to solve an algebraic equation with no pen, paper, or calculator. “And that someone is my friend Collin.” Only then does Dad turn toward us. His face immediately goes from confused to furious. You would think the Yankees not only lost the game but also decided to give up and retire the team forever. He points his cigarette at Mom. “This is all your doing. You have to be the one to tell him he’s wrong.” He’s talking about me like I’m not even in the room. “Mark, we always said we would love our kids no matter what, and—” “Empty fucking promise, Elsie. Make him cut it out or get him out of here.” “If there’s something about homosexuality you don’t understand, you can talk to your son about it in a kind way,” Mom says, maintaining a steady tone that’s both fearless for me and respectful toward Dad. We all know what he’s capable of. “If you want to ignore it or need time, we can give that to you, but Aaron isn’t going anywhere.” Dad places his cigarette in the ashtray and then kicks over the hamper he was resting his feet on. We back up. I don’t often wish this, but I really, really wish Eric were here right now in case this gets as ugly as I think it might. He points his finger at me. “I’ll fucking throw him out myself.

On a flat surface with just the normal x and y coordinates, any high school algebra student, with the help of old Pythagoras, can calculate the distance between points. But imagine a flat map (of the world, for example) that represents locations on what is actually a curved globe. Things get stretched out near the poles, and measurement gets more complex. Calculating the actual distance between two points on the map in Greenland is different from doing so for points near the equator. Riemann worked out ways to determine mathematically the distance between points in space no matter how arbitrarily it curved and contorted.

The study of algebra in its own right, as a symbolic system apart from its applications, began to flourish in Renaissance Europe. It reached its pinnacle in the 1500s, when it started to look like what we know today, with letters used to represent numbers. In France in 1591, François Viète designated unknown quantities with vowels, like A and E, and used consonants, like B and G, for constants. (Today’s use of x, y, z for unknowns and a, b, c for constants came from the work of René Descartes about fifty years later.) Replacing words with letters and symbols made it much easier to manipulate equations and find solutions.

Entirely my own opinion,” said Ivanov. “I am glad that we have reached the heart of the matter soon. In other words: you are convinced that “we” – that is to say, the Party, the State and the masses behind it – no longer represent the interests of the Revolution.” “I should leave the masses out of it,” said Rubashov. […] “Leave the masses out of it, “ he repeated. “You understand nothing about them. Nor, probably, do I any more. Once, when the great “we” still existed, we understood them as no one had ever understood them before. We had penetrated into their depths, we worked in the amorphous raw material of history itself…” […] “At that time,” Rubashov went on, “we were called the Party of the Plebs. What did the others know of history? Passing ripples, little eddies and breaking waves. They wondered at the changing forms of the surface and could not explain them. But we had descended into the depths, into the formless, anonymous masses, which at all times constituted the substance of history; and we were the first to discover her laws of motion. We had discovered the laws of her inertia, of the slow changing of her molecular structure, and of her sudden eruptions. That was the greatness of our doctrine. The Jacobins were moralists; we were empirics. We dug in the primeval mud of history and there we found her laws. We knew more than ever men have known about mankind; that is why our revolution succeeded. And now you have buried it all again….” […] “Well,” said Rubashov, “one more makes no difference. Everything is buried: the men, their wisdom and their hopes. You killed the “We”; you destroyed it. Do you really maintain that the masses are still behind you? Other usurpers in Europe pretend the same thing with as much right as you….” […] “Forgive my pompousness,” he went on, “but do you really believe the people are still behind you? It bears you, dumb and resigned, as it bears others in other countries, but there is no response in their depths. The masses have become deaf and dumb again, the great silent x of history, indifferent as the sea carrying the ships. Every passing light is reflected on its surface, but underneath is darkness and silence. A long time ago we stirred up the depths, but that is over. In other words” – he paused and put on his pince-nez – “in those days we made history; now you make politics. That’s the whole difference.” […] "A mathematician once said that algebra was the science for lazy people - one does not work out x, but operates with it as if one knew it. In our case, x stands for the anonymous masses, the people. Politics mean operating with this x without worrying about its actual nature. Making history is to recognize x for what it stands for in the equation." "Pretty," said Ivanov. "But unfortunately rather abstract. To return to more tangible things: you mean, therefore, that "We" - namely, Party and State - no longer represent the interests of the Revolution, of the masses or, if you like, the progress of humanity." "This time you have grasped it," said Rubashov smiling. Ivanov did not answer his smile.

Unlike most mathematical discoveries, however, no one was looking for a theory of groups or even a theory of symmetries when the concept was discovered. Quite the contrary; group theory appeared somewhat serendipitously, out of a millenia-long search for a solution to an algebraic equation. Befitting its description as a concept that crystallized simplicity out of chaos, group theory was itself born out of one of the most tumultuous stories in the history of mathematics. Almost four thousand years of intellectual curiosity and struggle, spiced with intrigue, misery, and persecution, culminated in the creation of the theory in the nineteenth century. This amazing story, chronicled in the next three chapters, began with the dawn of mathematics on the banks of the Nile and Euphrates rivers.

In the history of science it happens not infrequently that a reductionist approach leads to a spectacular success. Frequently the understanding of a complicated system as a whole is impossible without an understanding of its component parts. And sometimes the understanding of a whole field of science is suddenly advanced by the discover of a single basic equation. Thus it happened that the Schrodinger equation in 1926 and the Dirac equation in 1927 brought a miraculous order into the previously mysterious processes of atomic physics. The equations of Erwin Schrodinger and Paul Dirac were triumphs of reductionism. Bewildering complexities of chemistry and physics were reduced to two lines of algebraic symbols. These triumphs were in Oppenheimer's mind when he belittled his own discovery of black holes. Compared with the abstract beauty and simplicity of the Dirac equation, the black hole solution seemed to him ugly, complicated, and lacking in fundamental significance.

We also find *physics*, in the widest sense of the word, concerned with the explanation of phenomena in the world; but it lies already in the nature of the explanations themselves that they cannot be sufficient. *Physics* is unable to stand on its own feet, but needs a *metaphysics* on which to support itself, whatever fine airs it may assume towards the latter. For it explains phenomena by something still more unknown than are they, namely by laws of nature resting on forces of nature, one of which is also the vital force. Certainly the whole present condition of all things in the world or in nature must necessarily be capable of explanation from purely physical causes. But such an explanation―supposing one actually succeeded so far as to be able to give it―must always just as necessarily be burdened with two essential imperfections (as it were with two sore points, or like Achilles with the vulnerable heel, or the devil with the cloven foot). On account of these imperfections, everything so explained would still really remain unexplained. The first imperfection is that the *beginning* of the chain of causes and effects that explains everything, in other words, of the connected and continuous changes, can positively *never* be reached, but, just like the limits of the world in space and time, recedes incessantly and *in infinitum*. The second imperfection is that all the efficient causes from which everything is explained always rest on something wholly inexplicable, that is, on the original *qualities* of things and the *natural forces* that make their appearance in them. By virtue of such forces they produce a definite effect, e.g., weight, hardness, impact, elasticity, heat, electricity, chemical forces, and so on, and such forces remain in every given explanation like an unknown quantity, not to be eliminated at all, in an otherwise perfectly solved algebraical equation. Accordingly there is not a fragment of clay, however little its value, that is not entirely composed of inexplicable qualities. Therefore these two inevitable defects in every purely physical, i.e., causal, explanation indicate that such an explanation can be only *relatively* true, and that its whole method and nature cannot be the only, the ultimate and hence sufficient one, in other words, cannot be the method that will ever be able to lead to the satisfactory solution of the difficult riddles of things, and to the true understanding of the world and of existence; but that the *physical* explanation, in general and as such, still requires one that is *metaphysical*, which would furnish the key to all its assumptions, but for that very reason would have to follow quite a different path. The first step to this is that we should bring to distinct consciousness and firmly retain the distinction between the two, that is, the difference between *physics* and *metaphysics*. In general this difference rests on the Kantian distinction between *phenomenon* and *thing-in-itself*. Just because Kant declared the thing-in-itself to be absolutely unknowable, there was, according to him, no *metaphysics* at all, but merely immanent knowledge, in other words mere *physics*, which can always speak only of phenomena, and together with this a critique of reason which aspires to metaphysics." ―from_The World as Will and Representation_. Translated from the German by E. F. J. Payne. In Two Volumes, Volume II, pp. 172-173

Everybody’s Free (To Wear Sunscreen)” Ladies and Gentlemen of the class of '99: Wear sunscreen. If I could offer you only one tip for the future, sunscreen would be it. The long term benefits of sunscreen have been proved by scientists, whereas the rest of my advice has no basis more reliable than my own meandering experience. I will dispense this advice now. Enjoy the power and beauty of your youth; oh never mind; you will not understand the power and beauty of your youth until they've faded. But trust me, in 20 years you’ll look back at photos of yourself and recall in a way you can’t grasp now how much possibility lay before you and how fabulous you really looked. You are not as fat as you imagine. Don’t worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4:00 pm on some idle Tuesday. Do one thing everyday that scares you. Sing. Don’t be reckless with other people’s hearts; don’t put up with people who are reckless with yours. Floss. Don’t waste your time on jealousy; sometimes you’re ahead; sometimes you’re behind; the race is long, and in the end it’s only with yourself. Remember compliments you receive; forget the insults. If you succeed in doing this, tell me how. Keep your old love letters; throw away your old bank statements. Stretch. Don’t feel guilty if you don’t know what you wanna do with your life; the most interesting people I know didn’t know at 22 what they wanted to do with their lives; some of the most interesting 40 year olds I know still don’t. Get plenty of calcium. Be kind to your knees; you’ll miss them when they’re gone. Maybe you’ll marry -- maybe you won’t. Maybe you’ll have children -- maybe you won’t. Maybe you’ll divorce at 40 -- maybe you’ll dance the funky chicken on your 75th wedding anniversary. Whatever you do, don’t congratulate yourself too much or berate yourself either -- your choices are half chance; so are everybody else’s. Enjoy your body; use it every way you can. Don’t be afraid of it, or what other people think of it. It’s the greatest instrument you’ll ever own. Dance. even if you have nowhere to do it but in your own living room. Read the directions, even if you don’t follow them. Do not read beauty magazines; they will only make you feel ugly. Get to know your parents; you never know when they’ll be gone for good. Be nice to your siblings; they're your best link to your past and the people most likely to stick with you in the future. Understand that friends come and go, but for the precious few you should hold on. Work hard to bridge the gaps in geography, in lifestyle, because the older you get the more you need the people you knew when you were young. Live in New York City once, but leave before it makes you hard. Live in Northern California once, but leave before it makes you soft. Travel. Accept certain inalienable truths: prices will rise; politicians will philander; you too will get old, and when you do you’ll fantasize that when you were young prices were reasonable, politicians were noble, and children respected their elders. Respect your elders. Don’t expect anyone else to support you. Maybe you have a trust fund; maybe you'll have a wealthy spouse; but you never know when either one might run out. Don’t mess too much with your hair, or by the time you're 40, it will look 85. Be careful whose advice you buy, but be patient with those who supply it. Advice is a form of nostalgia: dispensing it is a way of fishing the past from the disposal, wiping it off, painting over the ugly parts, and recycling it for more than it’s worth. But trust me on the sunscreen. Baz Luhrmannk, William Shakespeare's Romeo & Juliet (1996)

transition into some examples that put HTML5 in action: A graphing calculator to display algebraic equations on the Canvas A children’s finger-painting application for drawing pictures on the page A geolocated work of fiction customized with details about the reader’s current location An audio-enabled glossary that lets you click to hear the pronunciation of each term Embedded video content within instructional text to supplement a lesson

the simple algebraic equation ω+k3 = 0. This is called the dispersion relation of (1): with the help of the Fourier transform it is not hard to show that every solution is a superposition of solutions of the form ei(kx-ωt), and the dispersion relation tells us how the “wave number” k is related to the “angular frequency” ω in each of these elementary solutions.

My name is Charlie Chucky, I am in the sixth grade, I love playing Minecraft, and I am learning to become a Super Spy. My Dad is the world’s best Super Spy, and he is starting to teach me all his tricks. Lately, I’ve been battling invisible giants, crazy zombie teachers, and super ninjas! Life has been pretty crazy, and I’ve enjoyed every second of it. My best friend Harley is different to me. He doesn’t want to become a Super Spy. He doesn’t want to battle bad guys and save the world each week. Nope. He wants to sit indoors and stare at numbers all day. Harley’s dream is to become the world’s greatest math professor. He loves school, he loves studying, and he absolutely loves math tests.  He goes mad for them. It is the one thing he is really good at. He just loves numbers.  Numbers are like candy for him – he can’t get enough of it. He even asked Mrs. Jackson for extra math homework last night. Mrs. Jackson then decided to give the whole class extra math homework. Let’s just say Harley wasn’t that popular after school.  This is Harley. Mrs. Jackson always says that someday math will save our lives, but I can’t see how it will. Maybe one day, four giant numbers will attack our school, and I will defeat them using an algebra equation… or maybe the numbers in my textbook will go bad, and start attacking all the words on the pages, and I will stop them using a calculator!

There was solace in its strange formulas and equations.

Most people think I really could keep from falling asleep if I wanted to. If I just focused, like narcolepsy is some algebraic equation I could solve if I worked at it hard enough, did all the homework. I'm a bad joke, a punchline.

The Aryabhatiya covers arithmetic, squares, cubes, square roots, cube roots, triangles, the properties of a circle, algebra, fractions, quadratic equations and sines, and it utilises the decimal system with place value. It contains a very close approximation of the value of pi – 3.1416 – and perfected the ‘rule of three’ still used to compute ratios. It also deals with spherical trigonometry. The ease of making calculations using this system had direct implications for astronomy and allowed Aryabhata to calculate the movements of the planet, eclipses, the size of the earth and, astonishingly, the exact length of the solar year to an accuracy of seven decimal points.

displaced fifteen cubic inches of water, w2 pounds of gold would displace (w2/10) · 15 or (3/2)w2 cubic inches of water. Hence the crown should displace cubic inches of water. Archimedes measured the volume of water that the crown displaced and found it to be, let us say, twenty cubic inches. Hence he knew that (3) He also knew that (4) Archimedes now had two equations involving two unknowns and he proceeded to apply the machinery of algebra to find them. He multiplied both sides of equation (4) by 3 to obtain

seemed almost certain to the mathematicians that since the general first, second, third, and fourth degree equations can be solved by means of the usual algebraic operations such as addition, subtraction, and roots, then the general fifth degree equation and still higher degree equations could also be solved. For three hundred years this problem was a classic one. Hundreds of mature and expert mathematicians sought the solution, but a little boy found the full answer. The Frenchman Évariste Galois (1811— 1832), who refused to conform to school examinations but worked brilliantly and furiously on his own, showed that general equations of degree higher than the fourth cannot be solved by algebraic operations. To establish this result Galois created the theory of groups, a subject that is now at the base of modern abstract algebra and that transformed algebra from a a series of elementary techniques to a broad, abstract, and basic branch of mathematics.

The most important use to which he had put his memory was that he had stuffed an unprecedented number of mathematical constants and equations into it. Most of us have very few mathematical constants in our mind, perhaps only the up-to-twelve-times multiplication table. Johnny had put in his mind layers and layers of algebraic verities. These were the explanation of his extraordinary powers of mental calculation.

Imagine what would happen if schools taught with the same approach to curriculum that most churches use. One year, a teacher stumbles onto an engaging curriculum on verbs, with some really cool videos on gerunds. When the kids and teachers get bored with that curriculum, they cut it short, and the teacher runs to the curriculum store, finds a compelling study on algebraic equations (narrated by Rob Bell-Curve), and starts to teach that the next week. When that study is winding down, the teacher decides it’s time to teach on rocks or medieval knights or Christmas around the world.

even the formidable deputy seemed lost for words – or was saving them for later. Maths followed a similar pattern. While the others struggled over algebra, Janet spent the first half of the lesson hidden behind her ponytail of tangled hair – ‘looking for split ends,’ she explained to Edie afterwards – until Mr Robinson, a nervous young teacher who had joined the school the previous term, invited her to come to the front of the class and write an answer to the question he had just chalked up on the board. ‘Why are you picking on me?’ Janet asked sulkily. ‘Because I don’t think you’ve been paying attention,’ Mr Robinson replied. Janet scraped back her chair, and walked to the front of the class with her shoulders swaying. ‘What’s the point trying to work out the answer when the question doesn’t make sense?’ she said, and proceeded to insert a missing bracket into Mr Robinson’s equation. ‘That was awesome,’ said Belinda later, over tea. ‘He looked so embarrassed! Oh, Janet, you should have seen him when you were walking back to your desk – his face was like strawberry jam!’ ‘I felt sorry for him,’ said Anastasia. ‘He’s so shy, and sometimes I think he’s frightened of us. Do you remember that time he was on supper duty last term and

completely insane algebraic equations?” “You know us too well.” Jess sat down in her

An essential pedagogic step here is to relegate the teaching of mathematical methods in economics to mathematics departments. Any mathematical training in economics, if it occurs at all, should come after students have at the very least completed course work in basic calculus, algebra and differential equations (the last being one about which most economists are woefully ignorant). This simultaneously explains why neoclassical economists obsess too much about proofs and why non-neoclassical economists, like those in the Circuit School, experience such difficulties in translating excellent verbal ideas about credit creation into coherent dynamic models of a monetary production economy.

There's something about Algebra, I just can't figure it out Polynomials, derivatives, quadratic equations, I see no absolute value in them A bunch of irrational numbers With square roots and exponential functions I'm still trying to see through the horizontal and vertical blurred lines This all reminds me Y I left my X-

That kind of aura of ambivalence is carried over into Devil May Cry for, after all, Dante in the electronic game is still half-devil, and something brooding and smoldering inside him may yet emerge in future editions of the game. Games technology being what it is, players may in future be able to choose how good or how evil Dante will be. He will never lose his evil side completely. He even has a twin brother who seems destined to convert from evil to good and back again forever. Dante survives in his world of evil because he understands it. He understands it because it is part of him. It is part of his genetic drive. But he makes decisions in his life — rather, the players of the game can decide for him — as to what drives him most, a moral vision or a base, devilish autarky. The way he goes around ruthlessly slaying hordes of his half-cousins, I’d say the equation that makes up Dante is a set of sliding numbers and hypothetical values. For Dante, evil and good are an algebra. They are not absolutes. So it is not as simple as saying ‘there is good in everybody’, but is more to do with complex investigations and calculations as to how best to intersect.

Descartes was responsible for analytical geometry, a mechanism for translating from geometrical forms to the equivalent algebraic equations and vice versa.

The Babylonians did not write equations. All their calculations were expressed as word problems. For instance, one tablet contained the spellbinder, “four is the length and five is the diagonal. What is the breadth? Its size is not known. Four times four is sixteen. Five times five is twenty-five. You take sixteen from twenty-five and there remains nine. What times what shall I take in order to get nine? Three times three is nine. Three is the breadth.” Today, we would write “x2 = 52 – 42.” The disadvantage of the rhetorical statement of problems isn’t as much the obvious one—its lack of compactness—but that the prose cannot be manipulated as an equation can, and rules of algebra, for instance, are not easily applied. It took thousands of years before this particular shortcoming was remedied: the oldest known use of the plus sign for addition occurs in a German manuscript written in 1481.

By the time he was in high school, his family had moved to Miami. Bezos was a straight-A student, somewhat nerdy, and still completely obsessed with space exploration. He was chosen as the valedictorian of his class, and his speech was about space: how to colonize planets, build space hotels, and save our fragile planet by finding other places to do manufacturing. “Space, the final frontier, meet me there!” he concluded. He went to Princeton with the goal of studying physics. It sounded like a smart plan until he smashed into a course on quantum mechanics. One day he and his roommate were trying to solve a particularly difficult partial differential equation, and they went to the room of another person in the class for help. He stared at it for a moment, then gave them the answer. Bezos was amazed that the student had done the calculation—which took three pages of detailed algebra to explain—in his head. “That was the very moment when I realized I was never going to be a great theoretical physicist,” Bezos says. “I saw the writing on the wall, and I changed my major very quickly to electrical engineering and computer science.” It was a difficult realization. His heart had been set on becoming a physicist, but finally he had confronted his own limits.

Many of the patterns of nature we can discover only after they have been constructed by our mind. The systematic construction of such new patterns is the business of mathematics. The role which geometry plays in this respect with regard to some visual patterns is merely the most familiar instance of this. The great strength of mathematics is that it enables us to describe abstract patterns which cannot be perceived by our senses, and to state the common properties of hierarchies or classes of patterns of a highly abstract character. Every algebraic equation or set of such equations defines in this sense a class of patterns, with the individual manifestation of this kind of pattern being particularized as we substitute definite values for the variables.

Each operation contributes to AES’s security in a specific way: * Without KeyExpansion, all rounds would use the same key, K, and AES would be vulnerable to slide attacks. * Without AddRoundKey, encryption wouldn’t depend on the key; hence, anyone could decrypt any ciphertext without the key. * SubBytes brings nonlinear operations, which add cryptographic strength. Without it, AES would just be a large system of linear equations that is solvable using high-school algebra. * Without ShiftRows, changes in a given column would never affect the other columns, meaning you could break AES by building four 232 element codebooks for each column. (Remember that in a secure block cipher, flipping a bit in the input should affect all the output bits.) * Without MixColumns, changes in a byte would not affect any other bytes of the state. A chosen-plaintext attacker could then decrypt any ciphertext after storing 16 lookup tables of 256 bytes each that hold the encrypted values of each possible value of a byte.

Many of the patterns of nature we can discover only after they have been constructed by our mind. The systematic construction of such new patterns is the business of mathematics. The role which geometry plays in this respect with regard to some visual patterns is merely the most familiar instance of this. The great strength of mathematics is that it enables us to describe abstract patterns which cannot be perceived by our senses, and to state the common properties of hierarchies or classes of patterns of a highly abstract character. Every algebraic equation or set of such equations defines in this sense a class of patterns, with the individual manifestation of this kind of pattern being particularized as we substitute definite values for the variables.

Many of the patterns of nature we can discover only after they have been constructed by our mind. The systematic construction of such new patterns is the business of mathematics. The role which geometry plays in this respect with regard to some visual patterns is merely the most familiar instance of this. The great strength of mathematics is that it enables us to describe abstract patterns which cannot be perceived by our senses, and to state the common properties of hierarchies or classes of patterns of a highly abstract character. Every algebraic equation or set of such equa- tions defines in this sense a class of patterns, with the individual manifestation of this kind of pattern being particularized as we substitute definite values for the variables.

Your equation—your choice! You could do whatever you want with an equation— just as long as it’s done on both sides!

I want too much. I always have. And all the while I am aware of a larger despair, as if Helen & I are vessels for the despair of all women and many men too. Who are we and where are we going? Why are we, with all our ‘progress,’ so limited in understanding & sympathy & the ability to give each other real freedom? Why with our emphasis on the individual are we still so blinded by the urge to conform? Charlotte wrote that rumors are flying about Howard and Paul, and Howard might lose his job at Yale. And her nephew, getting his PhD at Wisconsin, was declared insane and committed to a state asylum when they discovered he was a leader in the Communist Party there. I think above all else it is freedom I search for in my work, in these far-flung places, to find a group of people who give each other the room to be in whatever way they need to be. And maybe I will never find it all in one culture but maybe I can find parts of it in several cultures, maybe I can piece it together like a mosaic and unveil it to the world. But the world is deaf. The world—and really I mean the West—has no interest in change or self-improvement and my role it seems to me on a dark day like today is merely to document these oddball cultures in the nick of time, just before Western mining and agriculture annihilate them. And then I fear that this awareness of their impending doom alters my observations, laces all of it with a morose nostalgia. This mood is glacial, gathers up all the debris as it rolls through: my marriage, my work, the fate of the world, Helen, the ache for a child, even Bankson, a man I knew for 4 days and may easily never see again. All these pulls on me that cancel one another out like an algebraic equation I can’t solve.

But the biggest thing I can’t un-know is definitely the shape of him pressing into my belly, hard and eager. He felt big, which is just stupidly predictable. Of course, he has a big cock. And it’s probably gorgeous, too. It probably performs magic tricks and solves complex algebraic equations and holds the answer to the universe or whatever. A perfect cock to go with the perfect body and perfect face and perfect trust fund. There is truly no justice in this world.

The fact of zero He added nonstop: Did you know that zero was not used throughout human history! Until 781 A.D, when it was first embodied and used in arithmetic equations by the Arab scholar Al-Khwarizmi, the founder of algebra. Algorithms took their name from him, and they are algorithmic arithmetic equations that you have to follow as they are and you will inevitably get the result, the inevitable result. And before that, across tens and perhaps hundreds of thousands of years, humans refused to deal with zero. While the first reference to it was in the Sumerian civilization, where inscriptions were found three thousand years ago in Iraq, in which the Sumerians indicated the existence of something before the one, they refused to deal with it, define it and give it any value or effect, they refused to consider it a number. All these civilizations, some of which we are still unable to decipher many of their codes, such as the Pharaonic civilization that refused to deal with zero! We see them as smart enough to build the pyramids with their miraculous geometry and to calculate the orbits of stars and planets with extreme accuracy, but they are very stupid for not defining zero in a way that they can deal with, and use it in arithmetic operations, how strange this really is! But in fact, they did not ignore it, but gave it its true value, and refused to build their civilizations on an unknown and unknown illusion, and on a wrong arithmetical frame of reference. Throughout their history, humans have looked at zero as the unknown, they refused to define it and include it in their calculations and equations, not because it has no effect, but because its true effect is unknown, and remaining unknown is better than giving it a false effect. Like the wrong frame of reference, if you rely on it, you will inevitably get a wrong result, and you will fall into the inevitability of error, and if you ignore it, your chance of getting it right remains. Throughout their history, humans have preferred to ignore zero, not knowing its true impact, while we simply decided to deal with it, and even rely on it. Today we build all our ideas, our civilization, our software, mathematics, physics, everything, on the basis that 1 + 0 equals one, because we need to find the effect of zero so that our equations succeed, and our lives succeed with, but what if 1 + 0 equals infinity?! Why did we ignore the zero in summation, and did not ignore it in multiplication?! 1×0 equals zero, why not one? What is the reason? He answered himself: There is no inevitable reason, we are not forced. Humans have lived throughout their ages without zero, and it did not mean anything to them. Even when we were unable to devise any result that fits our theorems for the quotient of one by zero, then we admitted and said unknown, and ignored it, but we ignored the logic that a thousand pieces of evidence may not prove me right, and one proof that proves me wrong. Not doing our math tables in the case of division, blowing them up completely, and with that, we decided to go ahead and built everything on that foundation. We have separated the arithmetic tables in detail at our will, to fit our calculations, and somehow separate the whole universe around us to fit these tables, despite their obvious flaws. And if we decide that the result of one multiplied by zero is one instead of zero, and we reconstruct the whole world on this basis, what will happen? He answered himself: Nothing, we will also succeed, the world, our software, our thoughts, our dealings, and everything around us will be reset according to the new arithmetic tables. After a few hundred years, humans will no longer be able to understand that one multiplied by zero equals zero, but that it must be one because everything is built on this basis.

What Born realized was that the symbols Heisenberg was manipulating in his equations were mathematical objects called matrices, and there was an entire field of mathematics devoted to them, called matrix algebra. For example, Heisenberg had found that there was something strange about his symbols: when entity A was multiplied by entity B, it was not the same as B multiplied by A; the order of multiplication mattered. Real numbers don’t behave this way. But matrices do. A matrix is an array of elements. The array can be a single row, a single column, or a combination of rows and columns. Heisenberg had brilliantly intuited a way of representing the quantum world and asking questions about it using such symbols, while being unaware of matrix algebra.

It’s from the field of algebra. The wild problem is an unsolvable equation or concept involving classification and graphs and something called a quiver, which I’m not even going to begin to pretend I can explain.

Roughly speaking, an Algol program is to its machine language translation as a word problem in an elementary algebra text is to the equation it translates into.

Thus, the spirit of objective inquiry in understanding physical realities was very much there in the works of Muslim scientists. The seminal work on Algebra comes from Al-Khwarizmī and Fibonacci (Leonardo of Pisa) has quoted him. Al-Khwarizmī, the pioneer of Algebra, wrote that given an equation, collecting the unknowns on one side of the equation is called 'al-Jabr'. The word Algebra comes from that. He developed sine, cosine and trigonometric tables, which were later translated in the West. He developed algorithms, which are the building blocks of modern computers. In mathematics, several Muslim scientists like Al-Battani, Al-Beruni and Abul-Wafa contributed to trigonometry. Furthermore, Omar Khayyam worked on Binomial Theorem. He found geometric solutions to all 13 forms of cubic equations.

It all went back to Aristotle’s Ethics where he proposes that all moral action is about making the right choices, and choice is about intention: “Intention is the decisive factor in virtue and character”—a point Thomas Aquinas made a cornerstone of Catholic moral teaching. On the other side, Aristotle’s teacher Plato argued that doing good versus evil was a matter of knowledge versus ignorance: in other words, the man who is ignorant of the good can no more choose good than one who is ignorant of algebra can solve a quadratic equation. Saint Augustine extended that definition of ignorance to include ignorance of God. Truly knowing God, Augustine asserted, having that blind faith in Him that suffuses our lives and gains us salvation, is impossible for our corrupt human nature unless God acts to put it there. He, not us, determines our capacity for virtue, just as He determines our fate.

When you do the math problems at the back of a chapter in an algebra textbook, you are problem solving. If the chapter is entitled “Systems of two equations with two unknowns,” you know exactly which methods to use. In such a constrained situation, the pertinent context in which to view the problem has already been determined, so there is no effort of interpretation required. But in the real world, problems don’t present themselves in this predigested way; usually there is too much information, and it is difficult to know what is pertinent and what isn’t.

I like you when you’re algebraic,” said Ulf—and immediately regretted it. It was a flirtatious remark—describing somebody as algebraic was undoubtedly to cross a line. You would not normally describe an ordinary friend as algebraic, and then say that you liked her that way. He saw the effect on Anna, and his regret deepened. “Algebraic?” she said, half coyly. “Well, I’m very happy to enter into any equation.

With geometry, there was often no clue about where to start a proof. Beginning an argument required strokes of genius. Algebra, however, was systematic. Equations could be massaged almost mindlessly, peacefully; you could add the same term to both sides of an equation, cancel common terms, solve for an unknown quantity, or perform a dozen other procedures and algorithms according to standard recipes.

Khwarizmi’s major contribution was to combine Euclid’s theories with Indian mathematics. The sheer clarity of his writing, and the simple way he managed to explain complex ideas, inspired generations of subsequent mathematicians and initiated rapid developments in algebra, geometry and trigonometry across the Islamic world: Indian innovations such as linear and quadratic equations, geometrical solutions, tables of sines, tangents and co-tangents suddenly became accessible to all.

In the next chapter, I'm going to tell you to work hard, and I believe it's essential not just for economic security, but for personal fulfillment. "Do hard things" is as good a piece of advice as you'll ever get. But while working hard is necessary to personal and professional success, it is not sufficient, and more important, it is not the point. Working hard by itself is just burning energy into the capitalist void. Get strong so that you can provide for others. Gain power so you can do justice. Work for work's sake is economic masturbation. Too many people use working hard as an excuse. An excuse for ignoring their partner, neglecting their health, being rude or cruel or exploitative. I said earlier that the pursuit of wealth is always a cover story. Equating hard work with character is shoving your fingers in your ears and singing "Roxanne" to drown out what's really driving you, what you need to work on. p29