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Algebra Quotes

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Algebra Quotes

“He could not believe that any of them might actually hit somebody. If one did, what a nowhere way to go: killed by accident; slain not as an individual but by sheer statistical probability, by the calculated chance of searching fire, even as he himself might be at any moment. Mathematics! Mathematics! Algebra! Geometry! When 1st and 3d Squads came diving and tumbling back over the tiny crest, Bell was content to throw himself prone, press his cheek to the earth, shut his eyes, and lie there. God, oh, God! Why am I here? Why am I here? After a moment's thought, he decided he better change it to: why are we here. That way, no agency of retribution could exact payment from him for being selfish.”

“The existence of God is a matter of feeling! It is not a formula of algebra that we sit down and prove! If we carefully observe the humans, animals, nature etc., then the existence of God can certainly be felt. Say, I mentioned in one of my Facebook posts that the 4 fingers of our hands are located side by side but one finger, that is, the thumb is much away from other fingers, structurally small and much different compared to other fingers. Now, it would be foolishness to say that the location of the thumb is such by coincidence. God knows it well that if all the fingers in the hands were of same size and structure, then it would be rather difficult or impossible for us to hold anything or do any work! So, He placed the thumb of our hands in the distance. It would be clearer if I explain it in a different way. As the parents become exceedingly cautious about the newly born baby, its spontaneous feeding, walking, talking etc. are carefully monitored by them, likewise, God has given the specific formation, shape and structure to the humans and all the animals by keeping their overall well-being, advantages and easiness in mind!”

“The customary units of measurement? They have practical applications, but learning them is mostly done through rote memorization— There aren’t any proofs or critical evaluations regarding REASONS why a foot equals twelve inches There are only facts to memorize, but not puzzles to solve, With algebra—YES! There isn’t just memorization— There is the rearrangement of jigsaw pieces— jigsaw pieces that you can solve, not just memorize!”

“Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and you add 9 hours, what do you get? Well, you get five o’clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ≡ 5 (mod 12), pronounced “eight plus nine is congruent to five, modulo twelve.”

“ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient.”

“Blessed influence of one true loving human soul on another! Not calculable by algebra, not deducible by logic, but mysterious, effectual, mighty as the hidden process by which the tiny seed is quickened, and bursts forth into tall stem and broad leaf, and glowing tasseled flower.”

“Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the "language."”

“I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I was assigned, and I began work on extensions to notation that might serve. In particular, I adopted the matrix algebra used in my thesis work, the systematic use of matrices and higher-dimensional arrays (almost) learned in a course in Tensor Analysis rashly taken in my third year at Queen's, and (eventually) the notion of Operators in the sense introduced by Heaviside in his treatment of Maxwell's equations.”

“My algebra was relatively poor. I found it very difficult to use equations that substituted numbers - to which I had a synesthetic and emotional response - for letters, to which I had none. It was because of this that I decided not to continue math at Advanced level, but chose to study history, French and German instead.”

“How can you shorten the subject? That stern struggle with the multiplication table, for many people not yet ended in victory, how can you make it less? Square root, as obdurate as a hardwood stump in a pasturenothing but years of effort can extract it. You can't hurry the process. Or pass from arithmetic to algebra; you can't shoulder your way past quadratic equations or ripple through the binomial theorem. Instead, the other way; your feet are impeded in the tangled growth, your pace slackens, you sink and fall somewhere near the binomial theorem with the calculus in sight on the horizon.”

“Texas Republican political leaders take perverse pride in how deeply they have cut our state's education budget. Thousands of teachers have been pulled from classrooms, schools have closed and valuable programs have been canceled. In many places, districts are forced to choose between prekindergarten programs and English, algebra and art.”

“At the heart of good education are those gifted, hardworking, and memorable teachers whose inspiration kindles fires that never quite go out, whose remembered encouragement is sometimes the only hard ground we stand upon, and whose very selves are the stuff of the best lessons they ever teach us. Most of us, no matter how long ago it's been, can name our kindergarten teacher. Our first music teacher. Our junior high algebra teacher. Good teachers never die.”

“Psychology, unlike chemistry, unlike algebra, unlike literature, is an owner's manual for your own mind. It's a guide to life. What could be more important than grounding young people in the scientific information that they need to live happy, healthy, productive lives? To have good relationships?”

“You're at your best when you don't know what you're doing.”