Math Factoring Quotes

We're more than the sum total of our choices, that all the paths we might have taken factor somehow into the math of our identity.

I can’t help thinking that we’re more than the sum total of our choices, that all the paths we might have taken factor somehow into the math of our identity.

There is nothing innate, immutable or inevitable about boys or girls doing particularly well or badly in different subjects. Girls in Shanghai outperform western boys in math, the same boys that outshine the girls in the US. The variable factor is the educational system, the society and the parents.

Obligasyon ko bang pasanin ang mga problema ng math? Bakit? Bababa ba ng bill ko sa internet pag nag-factor ako ng quadratic trinomial? Malulutas ba ng Laws of Exponents ang problema natin sa basura? Mababawasan ba ng Associative Law for Multiplication ang mga krimen sa bansa? Makakabuti ba sa mag-asawa kung malalaman nila ang sum and difference of two cubes? Maganda ba sa sirkulasyon ng dugo ang parallelogram, polynomial at cotangent? Makatwiran bang pakisamahan ang mga irrational numbers? Anak ng scientific calculator!

Hey, what are you doing with your hand?”   Eli’s voice came out high pitched in surprise, as she clutched at Rafe’s shoulders. “It’s the best place for leverage if you’re going to make that ladder.” “My ass?  Really?” “What can I say, I’ve done the math, factored in the weight and height ratios and your ass is definitely where I will gain the most leverage in lifting you.

In my opinion, defining intelligence is much like defining beauty, and I don’t mean that it’s in the eye of the beholder. To illustrate, let’s say that you are the only beholder, and your word is final. Would you be able to choose the 1000 most beautiful women in the country? And if that sounds impossible, consider this: Say you’re now looking at your picks. Could you compare them to each other and say which one is more beautiful? For example, who is more beautiful— Katie Holmes or Angelina Jolie? How about Angelina Jolie or Catherine Zeta-Jones? I think intelligence is like this. So many factors are involved that attempts to measure it are useless. Not that IQ tests are useless. Far from it. Good tests work: They measure a variety of mental abilities, and the best tests do it well. But they don’t measure intelligence itself.

Luck is not some esoteric, godlike phenomenon. Luck is countable but undefinable. Luck easily can be explained by a number of factors acting in favour of a person. These factors' behaviour could be statistically proved, and the probability of such a result is possible. So, it is not an unexplainable event. Actually, the miracle would be if these events (luck) are not in presence in our life. So, make your luck!"

Nature vs. nurture is part of this—and then there is what I think of as anti-nurturing—the ways we in a western/US context are socialized to work against respecting the emergent processes of the world and each other: We learn to disrespect Indigenous and direct ties to land. We learn to be quiet, polite, indirect, and submissive, not to disturb the status quo. We learn facts out of context of application in school. How will this history, science, math show up in our lives, in the work of growing community and home? We learn that tests and deadlines are the reasons to take action. This puts those with good short-term memories and a positive response to pressure in leadership positions, leading to urgency-based thinking, regardless of the circumstance. We learn to compete with each other in a scarcity-based economy that denies and destroys the abundant world we actually live in. We learn to deny our longings and our skills, and to do work that occupies our hours without inspiring our greatness. We learn to manipulate each other and sell things to each other, rather than learning to collaborate and evolve together. We learn that the natural world is to be manicured, controlled, or pillaged to support our consumerist lives. Even the natural lives of our bodies get medicated, pathologized, shaved or improved upon with cosmetic adjustments. We learn that factors beyond our control determine the quality of our lives—something as random as which skin, gender, sexuality, ability, nation, or belief system we are born into sets a path for survival and quality of life. In the United States specifically, though I see this most places I travel, we learn that we only have value if we can produce—only then do we earn food, home, health care, education. Similarly, we learn our organizations are only as successful as our fundraising results, whether the community impact is powerful or not. We learn as children to swallow our tears and any other inconvenient emotions, and as adults that translates into working through red flags, value differences, pain, and exhaustion. We learn to bond through gossip, venting, and destroying, rather than cultivating solutions together. Perhaps the most egregious thing we are taught is that we should just be really good at what’s already possible, to leave the impossible alone.

With the two sides entrenched, each began a campaign for public sympathy. The focus was wages. How much did Lawrence textile workers really earn? Ettor told the press that the average mill wage was $6 a week; mill owners countered that it was $9.71 The difference depended on who did the math, and how. Ettor was using a mathematical mean, dividing the mills’ $150,000 weekly payroll by twenty-five thousand workers.72 Mill owners relied on what statisticians call the median. Taking a weaver’s average wage of $13 a week and a doffer’s average of $4.50, they found the midpoint, then rounded up. Strikers protested. For every weaver, they pointed out, there were dozens of doffers, sweepers, and bobbin boys earning $4.50 a week or less. Mill owners countered that such low pay was earned only by the least skilled workers, few in number and not prime wage earners. But neither weekly wage figure factored in the several weeks each year that work was slow and thousands were laid off.

It was, in fact, his weapon of choice—extremely accurate, with a manageable form factor, and most importantly, dependable. The thing never jammed, never malfunctioned. When an operator needed to spit a lot of lead in the bad guys’ direction, an HK416 would do it forever without complaining once. “Who the hell are you?” Trapp asked, eyeing the man with his steel-blue gaze. The shooter was dressed in dark combat fatigues and had the mark of a special operator about him—a cold, lethal tension that suggested he could snap into action with a millisecond’s notice. Out of the corner of his eye, Trapp saw that the man’s partner was dressed and armed exactly the same. Except the other shooter had his weapon raised and aimed directly at Trapp’s skull. He did the math, quickly, and decided for the time being to play it cool. In all honesty, he didn’t really have much of a choice. Either of the two operators could drop him before he moved a yard. The man ignored the question. “Get back on the helicopter!” he yelled, his voice a slow Arkansas drawl. Trapp’s brow furrowed. The hell? What was the point in dragging him halfway across the country just to send him back? And then it clicked. The operator wasn’t speaking to him. “But—” “No questions. Get back on the helicopter, and fuck off!” the shooter shouted, jerking his thumb to accentuate his point. Trapp glanced over his shoulder at the liaison officer’s dismayed frown, and a wide grin crept across his face. Maybe he didn’t mind being held at gunpoint after all.

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.

Now, as traditional computing programs are displaced by the operation of AI algorithms, requirements are once again shifting. Machine learning demands the rapid-fire execution of complex mathematical formulas, something for which neither Intel’s nor Qualcomm’s chips are built. Into the void stepped Nvidia, a chipmaker that had previously excelled at graphics processing for video games. The math behind graphics processing aligned well with the requirements for AI, and Nvidia became the go-to player in the chip market. Between 2016 and early 2018, the company’s stock price multiplied by a factor of ten.

Adam: Of course, the pressure Adam was feeling was not just related to the math test. The roots of his anxiety went much deeper. Still, the physical symptoms of anxiety became so debilitating that he eventually quit going to school altogether. Naturally, his parents were extremely concerned but also uncertain what to do. It took almost a year before Adam was sufficiently in control of his symptoms to return to school. Clearly, he was working to avoid the pain of any kind of interaction, because he was so afraid of rejection or humiliation. His social anxiety became so extreme that he feared the symptoms as much as the stressor itself; in fact, his fear of interaction developed into a full-blown phobia. Adam’s anxiety profile obviously featured all the physical symptoms on the list (especially shortness of breath, accelerated heartbeat, dizziness, and depersonalization). They surfaced almost daily and were extremely incapacitating, affecting him to a high degree whenever he was actually in the situation that caused them. Of course, when Adam avoided these situations, their frequency and severity diminished, but their degree of interactive interference increased until it was at level 5. The symptoms were so bad that they were preventing him from interacting, all the way to the point of incapacity. Obsessive thought patterns were a contributing factor as well: “Am I good enough?” “Will they like me?” Adam even had these recurring thoughts when he was alone in his room, looking out on the street at the neighborhood kids playing below.

Government alone cannot restore the economy to health. Innovation is a primary driver of economic growth. One way of measuring inventive creativeness is through patent applications. Chetty, along with Alex Bell, Xavier Jaravel, Neviana Petkova, and John Van Reenen, studied the childhoods of more than a million patent holders, linking family income with elementary test scores and other key factors. Children at the top of their third-grade math class were the most likely to become inventors—but only if they also came from a high-income family. High-scoring children who were from low-income or minority families were no more likely to become inventors than affluent children with mediocre scores. Successful inventors were also less likely to be women, Black, Latino, or from the Southeast. Chetty called these failed inventors the “lost Einsteins.” “If women, minorities, and children from low-income families were to invent at the same rate as white men from high-income (top 20%) families, the rate of innovation in America would quadruple,” the authors said. The most ominous finding by Chetty and his colleagues was the effect of Covid-19 on educational progress. Using a popular math program called Zearn, the economists plotted the achievement of children from upper-income families versus those from lower incomes. When schools shut down and instruction switched to remote learning, children in the upper-income tier suffered a small drop in the lessons completed, but low-income children fell in a hole—a 60 percent drop in the rate of progress in learning math. The long-term economic prospects for those children are dire. “We’re likely to see further erosion of social mobility the longer this lasts,” Chetty said. The American dream was drifting farther out of reach for another generation.

I think of all the nights I lay in bed, wondering what it might be like if things were different, if I hadn’t taken the branch in the road that made me a father and mediocre physics professor instead of a luminary in my field. I suppose it all comes down to wanting what I didn’t have. What I perceived might have been mine through a different set of choices. But the truth is, I did make those different choices. Because I am not just me. My understanding of identity has been shattered—I am one facet of an infinitely faceted being called Jason Dessen who has made every possible choice and lived every life imaginable. I can’t help thinking that we’re more than the sum total of our choices, that all the paths we might have taken factor somehow into the math of our identity. But none of the other Jasons matter. I don’t want their lives. I want mine. Because as fucked as everything is, there is no place I’d rather be than with this Daniela, this Charlie. If one tiny thing were different, they wouldn’t be the people I love.

Theorists backstabbing each other over their pet ideas, and sounding just as scientific as they could, when it isn’t really scientific at all! You can’t test these theories by designing an experiment and looking for reproducibility, and you can’t isolate your factors or vary them, or use controls—it’s just observation and untestable hypothesis, over and over! And yet they acted like such solid scientists, math models and all, like chemists or something. It’s just scientism.

Nursing an infant, in the first few months, really sucks up the day. I never get over and am always totally taken aback by the amount of time in a day it takes to nurse a baby. When you are all and solely what they eat in the beginning of their lives, which I am in the habit of being for about the first year—Marco a little longer, Leone a little less—it could be, if you were a less driven and energetic person than myself, about the only thing you accomplished in a day. Certainly in a vacation day. But I imagine the total sensory pleasure for the kid—to pass out at the tap, belly full of that rich, sweet good stuff, and then he is in a little incomparable sleep coma with his cheeks still smashed up against the warm boob firmly and securely held in the arms of his mother—and so I tend to give my kids their twenty minutes of nursing and then their twenty minutes of post-hookup nap, undisturbed, in the very position they fell into it in, regardless of my own discomfort, arm cramps or list of shit to do that day. If you do the math of that, in pure forty-minute increments, factoring that an infant needs to be fed every couple of hours … well, an eight-hour day can really fly by, and what I used to accomplish in that time gets reduced to a maddening fraction. A whisper more than zilch.

I’m smart, right? I should be able to come up with a solid plan as to how I can get back to the twenty-first century. The trouble is I’m lost without Wikipedia and Google. I know all sorts of things, of course, but none of it is useful: the periodic table of elements, how to factor a math equation with four different variables, the symbiotic relationship between the great white shark and the remora fish. Completely useless, random information. Even a year of advanced chemistry isn’t going to do me any good; it’s not like there’s a chapter in there about time travel. I get up off the bed and creep to the door and peek out. No one is around. I’ll just explore the house. Maybe there really is a phone hidden somewhere that will prove Emily is lying about 1815. Or maybe I’ll find a servant in some Old Navy jeans.

When it comes to our own well being, it is not a matter of doing the math, it is a matter of choosing the formula. When you add up the numbers, keep the primary factors in mind. Then multiply all sums by a positive outlook. The numbers will inevitably change and so will any undesirable equivalence. The math is merely the meter for the moment in an ever changing flux of the dynamic human equation.

approach is that you may be entering blood sugar values into your pump or logging device that are not true readings, so the data will be inaccurate when downloading. The other option is to calculate your dose using your actual blood sugar, but add or subtract a specific amount of insulin based on your correction factor. The amount of the bolus adjustment depends on your sensitivity factor. For someone whose insulin sensitivity factor is 50 mg/dL (2.8 mmol/l) per unit of insulin, a gradual downward trend could be offset with a half-unit reduction in the usual bolus amount. For someone whose sensitivity factor is 20 mg/dL (1.1 mmol/l) per unit, a sharp rise could be offset with a bolus increase of 2.5 units. Don’t freak out! If the math is more than you’re comfortable with, I’ve done it all for you in Appendix D

Various factors, it seems, contribute to what we call genius and the forms it may take: speed of thought (at which von Neumann, by all accounts, was exceptional), depth of understanding (at which, according to Wigner, Einstein excelled), originality, creativity, and so forth. Sometimes, too, genius may be narrow in its focus – as in the case of Einstein or Ramanujan – while at other times, as illustrated by von Neumann, and to an even greater extent by some Renaissance figures such as Leonardo da Vinci, it can range over many subjects.

El experimento del HeartMath demuestra que el campo cuántico no responde simplemente a nuestros deseos: nuestras peticiones emocionales. Ni tampoco a nuestras intenciones: nuestros pensamientos. Sólo nos responde cuando estos dos factores son afines o coherentes, es decir, cuando emiten la misma señal.

It’s maths, Poe, not luck,’ she said without a trace of irony. ‘Toast usually falls from the table and is almost always butter side up when it does. Unless there are outside factors involved, the spin rate is rarely fast enough for it to go through a full revolution before it reaches the ground. If tables were ten feet high, we would say that toast always seems to land butter side up.

The factor is that equating the math is easier than counting the numbers

This is an encouraging finding on two fronts. It means that young black children have continued to make gains relative to their white counterparts. It also means that whatever gap remains can be linked to a handful of readily identifiable factors. The data reveal that black children who perform poorly in school do so not because they are black but because a black child is more likely to come from a low-income, low-education household. A typical black child and white child from the same socioeconomic background, however, have the same abilities in math and reading upon entering kindergarten.

This is not to say that being born late into a big family automatically makes someone fast, any more than having a parent die early in life automatically makes one prime minister of England. But it does say that being fast, like any talent, involves a confluence of factors that go beyond genes and that are directly related to the intense, subconscious reaction to motivational signals that provide the energy to practice deeply and thus grow myelin.

To be blunt: computers are ten trillion times less energy efficient than they could be, which is why they keep improving by leaps and bounds, whereas cars are within a factor of two of being as efficient as they could be, which is why improving cars is difficult.

[The study of prime numbers] becoming pivotal in cryptography and online security. As it happens, it is much easier to multiply primes together than to factor them back out. In modern encryption, secret primes known only to the sender and recipient get multiplied together to create huge composite numbers that can be transmitted publicly without fear, since factoring the product would take eavesdropper way too long to be worth attempting.