Top 184 Algebra Quotes & Sayings - Page 3

The Arab peoples possess an ancient and highly developed civilization that is in many ways more sophisticated than our own. For instance, they invented algebra. And this is why we have to go to war with Saddam Hussein this minute and bomb the shish kebab out of him before he invents trig and chemistry and the whole of America flunks high school.

And while good books - even so-so books - serve both functions, if you ever have to choose one over the other, keep in mind that a book that entertains without enlightening can still be a guilty pleasure, but a book that enlightens without entertaining is algebra.

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.

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.

I love algebra. Love it.

Friendship is something that gets harder to understand, every damn year of my life.Friendship is like a kind of algebra test that nobody passes. In my worst moods, I think the best you can say is that a friend is anyone you don't despise.

By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible.

African American students have less access to algebra and more access to seclusion and restraint than do their white peers. The significant disparity in educational resources has caused this problem of disparate discipline and disparate academic outcomes.

Text is linear; it is black and white; it doesn't zoom around the page in 3-D; it isn't intelligent by itself; in fact, in terms of immediate reaction it is quite boring. I can't imagine a single preliterate was ever wowed at the first sight of text, and yet text has been the basis of arguably the most fundamental intellectual transformation of the human species. It and its subforms, such as algebra, have made science education for all a plausible goal.

When we find ourselves unable to reason (as one often does when presented with, say, a problem in algebra) it is because our imagination is not touched. One can begin to reason only when a clear picture has been formed in the imagination. Bad teaching is teaching which presents an endless procession of meaningless signs, words and rules, and fails to arouse the imagination.

I still remember asking my high school guidance teacher for permission to take a second year of algebra instead of a fifth year of Latin. She looked down her nose at me and sneered, 'What lady would take mathematics instead of Latin?'

Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package."

In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.

The school systems at my childhood had enough money or enough parent involvement that they felt like learning music and songs, and exploring the whole pop or classical canon, were just as important as algebra or biology. Music is such a visceral and tactile experience for a kid, and to just replace that with video games or something that doesn't have the same sort of physical impact would definitely be a poor choice, and have a negative impact.

Math just wasn't my favorite. I didn't get how important math is and how it relates to real life. That's why I think I was turned off to it. Once I got down arithmetic and a little bit of algebra, I think I checked out. As I've gotten older, I think there's a lot more relation to math. English was my favorite subject.

I would advise you, Sir, to study algebra, if you are not an adept already in it: your head would get less muddy, and you will leave off tormenting your neighbours about paper and packthread, while we all live together in a world that is bursting with sin and sorrow.

Mathematics is ordinarily considered as producing precise and dependable results; but in the stock market the more elaborate and abstruse the mathematics the more uncertain and speculative are the conclusions we draw there from. Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment.

Astronomy, that micography of heaven, is the most magnificent of the sciences. ... Astronomy has its clear side and its luminous side; on its clear side it is tinctured with algebra, on its luminous side with poetry.

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.

The math you need for most of finance is ninth-grade algebra, and most people feel reasonably comfortable with that. But I think the financial world there has been - I don't know if it's by design, or this is how it's evolved - there are bad actors who have wanted to obfuscate because you can benefit from the lack of transparency.

Why not spend that time on art: painting, sculpting, charcoal, pastel, oils? Are words or numbers more important than images? Who decides this? Does algebra move you to tears? Can plural possessives express the feelings in your heart? If you don't learn art now, you will never learn to breathe!

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.

It is a curious historical fact that modern quantum mechanics began with two quite different mathematical formulations: the differential equation of Schroedinger and the matrix algebra of Heisenberg. The two apparently dissimilar approaches were proved to be mathematically equivalent.

We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free , but when the chips are down we close the office door and compute with matrices like fury.

The teacher pretended that algebra was a perfectly natural affair, to be taken for granted, whereas I didn't even know what numbers were. Mathematics classes became sheer terror and torture to me. I was so intimidated by my incomprehension that I did not dare to ask any questions.

Mozart, Pascal, Boolean algebra, Shakespeare, parliamentary government, baroque churches, Newton, the emancipation of women, Kant, Balanchine ballets, et al. don’t redeem what this particular civilization has wrought upon the world. The white race is the cancer of human history.

I grew up with plenty of smart people. They would beat me at chess; they could solve brain teasers before I could, but then they would struggle in algebra. These were incredibly smart people who simply did not have the foundation in math that I had.

Standard mathematics has recently been rendered obsolete by the discovery that for years we have been writing the numeral five backward. This has led to reevaluation of counting as a method of getting from one to ten. Students are taught advanced concepts of Boolean algebra, and formerly unsolvable equations are dealt with by threats of reprisals.

Algebra messed up one of those divisions between things that help you make sense of the world and keep it tidy. Letters make words; figures make numbers. They had no business getting tangled up together.

We live through myriads of seconds, yet it is always one, just one, that casts our entire inner world into turmoil, the second when (as Stendhal has described it) the internal inflorescence, already steeped in every kind of fluid, condenses and crystallizes—a magical second, like the moment of generation, and like that moment concealed in the warm interior of the individual life, invisible, untouchable, beyond the reach of feeling, a secret experienced alone. No algebra of the mind can calculate it, no alchemy of premonition divine it, and it can seldom perceive itself.

No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root' of geometry and, just as understanding the square root of -1 took centuries, the same might be true of spinors.

There is a science of getting rich, and it is an exact science, like algebra or arithmetic. There are certain laws which govern the process of acquiring riches, and once these laws are learned and obeyed by anyone, that person will get rich with mathematical certainty.

It is the facts that matter, not the proofs. Physics can progress without the proofs, but we can't go on without the facts ... if the facts are right, then the proofs are a matter of playing around with the algebra correctly.

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 sort of was good at writing essays. I was never very good at mathematics, and I was never very good at algebra. I loved science, but I wasn't sure of it.

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."

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science which have been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity.

If you could stop every atom in its position and direction, and if your mind could comprehend all the actions thus suspended, then if you were really, really good at algebra you could write the formula for all the future; and although nobody can be so clever as to do it, the formula must exist just as if one could.

Algebra reverses the relative importance of the factors in ordinary language. It is essentially a written language, and it endeavors to exemplify in its written structures the patterns which it is its purpose to convey. The pattern of the marks on paper is a particular instance of the pattern to be conveyed to thought. The algebraic method is our best approach to the expression of necessity, by reason of its reduction of accident to the ghostlike character of the real variable.

A child in the 4th grade who's just learning algebra is not imperfect. While there may be a child in the 12th grade who's much better, the child who's learning is not imperfect.

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.

Everybody has a nightmare, and everybody apparently has falling dreams, and everybody has the drowning dream, and everybody has certain kinds of sexual manifestation dreams, as well as our stress dreams; I didn't study for the algebra test, I didn't study for my driving test, you know, all those dreams. I still have those dreams, and it's just such an interesting thing that our mind can turn against us, our own mind, you know we all have.

... fain would I turn back the clock and devote to French or some other language the hours I spent upon algebra, geometry, and trigonometry, of which not one principle remains with me. Stay! There is one theorem painfully drummed into my head which seems to have inhabited some corner of my brain since that early time: "The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides!" There it sticks, but what of it, ye gods, what of it?

Dr. Karel Culik is an outstanding applied mathematician, a specialist in algebra, logic, computer sciences and mathematical linguistics. In 1965, he visited the linguistics research program at MIT, and we have worked together on several projects since.

Fractions, decimals, algebra, geometry, trigonometry, calculus, mechanics - these are the steps up the mountain side. How high is one going to get? For me, the pinnacle was Projective Geometry. Who today has even heard of this branch of mathematics?

Yes, the essence of every love is a child, and it makes no difference at all whether it has ever actually been conceived or born. In the algebra of love a child is the symbol of the magical sum of two beings.

I'm a visual thinker, really bad at algebra. There's others that are a pattern thinker. These are the music and math minds. They think in patterns instead of pictures. Then there's another type that's not a visual thinker at all, and they're the ones that memorize all of the sports statistics, all of the weather statistics.

We think only through the medium of words. Languages are true analytical methods. Algebra, which is adapted to its purpose in every species of expression, in the most simple, most exact, and best manner possible, is at the same time a language and an analytical method. The art of reasoning is nothing more than a language well arranged.

The mystic must be steadily told,-All that you say is just as true without the tedious use of that symbol as with it. Let us have a little algebra, instead of this trite rhetoric,-universal signs, instead of these village symbols,-and we shall both be gainers. The history of hierarchies seems to show that all religious error consisted in making the symbol too stark and solid, and was at last nothing but an excess of the organ of language.

Just as there is no such thing as Christian physics or Muslim Algebra, we will see tht there is no such thing as Christian or Muslim morality.

It is not always the most brilliant speculations nor the choice of the most exotic materials that is most profitable. I prefer Monsieur de Reaumur busy exterminating moths by means of an oily fleece; or increasing fowl production by making them hatch without the help of their mothers, than Monsieur Bemouilli absorbed in algebra, or Monsieur Leibniz calculating the various advantages and disadvantages of the possible worlds.

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.

I love the psychology versus math and logic. In algebra, "X" means any possible variable. I sort of think about "X" in terms of the equation of my own life. Adding "X" to my own life has given me a freedom that I didn't have before in the equation of my own existence.

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?

Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up cold relations of acquaintance confined to occasional calls upon one another; but that is now at an end; they are drawn together and are constantly becoming more and more intimately related and connected by a thousand fresh ties, and we may confidently look forward to a time when they shall form but one body with one soul.

As long as algebra and geometry have been separated, their progress have been slow and their uses limited; but when these two sciences have been united, they have lent each mutual forces, and have marched together towards perfection.

Many adults, whether consciously or unconsciously, find it beneath their adult dignity to do anything as childish as read a book, think a thought, or get an idea. Adults are rarely embarrased at having forgotten what little algebra or geography they once learned

Why is it that Serge Lange's Linear Algebra, published by no less a Verlag than Springer, ostentatiously displays the sale of a few thousand copies over a period of fifteen years, while the same title by Seymour Lipschutz in the The Schaum's Outlines will be considered a failure unless it brings in a steady annual income from the sale of a few hundred thousand copies in twenty-six languages?

...the science of calculation also is indispensable as far as the extraction of the square and cube roots: Algebra as far as the quadratic equation and the use of logarithms are often of value in ordinary cases: but all beyond these is but a luxury; a delicious luxury indeed; but not be in indulged in by one who is to have a profession to follow for his subsistence.

Everyone is born creative; everyone is given a box of crayons in kindergarten. Then when you hit puberty they take the crayons away and replace them with dry, uninspiring books on algebra, history, etc. Being suddenly hit years later with the 'creative bug' is just a wee voice telling you, 'I'd like my crayons back, please.