Complex Numbers Quotes

I tell you, with complex numbers you can do anything. ~ John Derbyshire

Highly complex numbers like the Comma of Pythagoras, Pi and Phi (sometimes called the Golden Proportion), are known as irrational numbers. They lie deep in the structure of the physical universe, and were seen by the Egyptians as the principles controlling creation, the principles by which matter is precipitated from the cosmic mind.

Today scientists recognize the Comma of Pythagoras, Pi and the Golden Proportion as well as the closely related Fibonacci sequence are universal constants that describe complex patterns in astronomy, music and physics. ...

To the Egyptians these numbers were also the secret harmonies of the cosmos and they incorporated them as rhythms and proportions in the construction of their pyramids and temples. ~ Jonathan Black

The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers. ~ Keith Devlin

Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers. ~ Carl Friedrich Gauss

Indeed, nowadays no electrical engineer could get along without complex numbers, and neither could anyone working in aerodynamics or fluid dynamics. ~ Keith Devlin

I recited Pi to 22,514 decimal points in five hours and nine minutes. I was able to do this because of weeks of study, aided by the unusual synaesthesic way my mind perceives numbers as complex multidimensional coloured and textured shapes. ~ Daniel Tammet

This may be the time to address a problem that afflicts even experienced researchers and at some point will probably afflict you. As you shuffle through hundreds of notes and a dozen lines of thought, you start feeling that you're not just spinning your wheels but spiraling down into a black hole of confusion, paralyzed by what seems to be an increasingly complex and ultimately unmanageable task. The bad news is that there's no sure way to avoid such moments. The good news is that most of us have them and they usually pass. Yours will too if you keep moving along, following your plan, taking on small and manageable tasks instead of trying to confront the complexity of the whole project. It's another reason to start early, to break a big project into its smallest steps, and to set achievable deadlines, ~ Kate L. Turabian

I'm a numbers guy, and I think numbers sometimes tell stories and sometimes they don't. When you look at the NBA, when teams shoot 45% or better from the floor, what is their record? And if they shoot under that what is their record? ~ Doug Collins

Away from the numbers ~ The Jam

The God Factor Saga is a complex blockbuster in genre of This Present Darkness meets Anne of Green Gables. This saga is a romantic, suspenseful, apocalyptic, and inspirational novel tucked into the stories of children who grow up to be men and women with Divine purpose. ~ J. Nell Brown

Revolution is everywhere, in everything. There is no final revolution, no final number. ~ Yevgeny Zamyatin

Plot is a framework on which to drape other things. So once that's working, I can just let it go and do all the stuff that I love - 'Trojan horse' it. There are so many great YA heroines, and that's fantastic, but what about the emotionally complex boy out there? That's who I tend to write about. ~ Patrick Ness

Human beings cannot comprehend very large or very small numbers. It would be useful for us to acknowledge that fact. ~ Daniel Kahneman

A spade may be made of any size, and if the same number of strokes be made in the hour, the requisite exertion will vary nearly as the cube of the length of the blade. ~ William Stanley Jevons

Squaring numbers is a symmetrical process that I like very much. And when I divide one number by another, say, 13 divided by 97, I see a spiral rotating downwards in larger and larger loops that seem to warp and curve. The shapes coalesce into the right number. I never write anything down. ~ Daniel Tammet

We interact with one another as individuals responding to a complex haze of factors: professional responsibilities, personal likes and dislikes, ambition, jealousy, self-interest, and, in at least some instances, genuine altruism. Living in the here and now, we are awash with sensations of the present, memories of the past, and expectations and fears for the future. Our actions are not determined by any one cause; they are the fulfillment of who we are at that particular moment. After that moment passes, we continue to evolve, to change, and our memories of that moment inevitably change with us as we live with the consequences of our past actions, consequences we were unaware of at the time. ~ Nathaniel Philbrick

Why isn't the number 11 pronounced onety one? ~ Steven Wright

She had not learned from reading it that adultery was good or that we should all become shysters. Did people all go on strike or head west after reading Steinbeck? Did they go whaling after reading Melville? Are people not a little more complex than that? ~ Azar Nafisi

Leadership is the name that people use to make sense out of complex events and the outcomes of events they otherwise would not be able to explain. In other words, people attribute leadership to certain individuals who are called leaders because people want to believe that leaders cause things to happen rather than have to explain causality by understanding complex social forces or analyzing the dynamic interaction among people, events, and environment. ~ Joseph C. Rost

According to the anthropic principle proponents, if the universal constants (e.g. gravitation, the strong force, etc.) were just a nose-hair off, the universe as we know it would not exist; stars wouldn't form and there would be no life and no us. That supposedly makes our universe truly special. To demonstrate just how ridiculous this fine-tuning argument is, consider the fact that no measurement in physics is perfect. All of them are approximations and have margins of error. That means the universal constants, that make our universe what it is, have some wiggle room. Within that wiggle room are an infinite quantity of real numbers. Each of those real numbers could represent constants that could make a universe like ours. Since there are an infinite number of potential constants within that wiggle room, there are an infinite number of potential universes, like ours, that could have existed in lieu of ours. Thus, there is really nothing special about our universe. ~ G.M. Jackson

The woman with the cat complex is named Mrs. Alice Plesher, but she doesn't reveal her first name to him and Sai only finds out by accident, later. Mrs. Plesher calls the paper and is put through to Sai. He has no idea why although he could guess the new guy gets all of the reporter-on-the-beat drudgery assignments until proven worthy. Alice speaks haltingly as if hardened by age and her voice reveals a rasp. Sai pictures her in a long house dress from the fifties, wide pink and white stripes fading with age
a smock of beige over the dress, a multitude of cats clinging to the fabric like stick-ons. ~ Justin Bog

Every one who has labored honestly in the past has aided to place knowledge and comfort within the reach of a constantly increasing number. ~ Orison Swett Marden

A great deal of the capability of an army is its dedication to its cause and its will to fight. You can have the best equipment in the world, you can have the largest numbers in the world, but, if you're not dedicated to your cause, if you don't have the will to fight, then, you are not going to have a very good army. ~ Norman Schwarzkopf

For they have nothing to fight me with, save the brute force of their numbers. I have my mind. ~ Ayn Rand

The thing that got me started on the science that I've been building now for about 20 years or so was the question of okay, if mathematical equations can't make progress in understanding complex phenomena in the natural world, how might we make progress? ~ Stephen Wolfram

You aren't better than your fellow midwife, and together in numbers you're stronger. ~ L.A. Casey

Every time a woman leaves the workforce because she can't find or afford childcare, or she can't work out a flexible arrangement with her boss, or she has no paid maternity leave, her family's income falls down a notch. Simultaneously, national productivity numbers decline. ~ Madeleine M. Kunin

Only a very small number of the e-mails containing classified information bore markings indicating the presence of classified information. But even if information is not marked 'classified' in an e-mail, participants who know or should know that the subject matter is classified are still obligated to protect it. ~ James Comey

Europe is a woman, now middle-aged, who has already had a number of heart attacks and is currently experiencing the biggest health crisis of her life, but one that need not be fatal. ~ Timothy Garton Ash

If you give a child something very complex to paint, such as a bouquet of flowers or a natural landscape, if he is very good, eventually he will get back - like Cezanne - to the essential forms of what he sees. ~ Robert Motherwell

Girls ... were allowed to play in the house ... and boys were sent outdoors ... Boys ran around in the yard with toy guns going kksshh-kksshh, fighting wars for made-up reasons and arguing about who was dead, while girls stayed inside and played with dolls, creating complex family groups and learning how to solve problems through negotiation and roleplaying. Which gender is better equipped, on the whole, to live an adult life, would you guess? ~ Garrison Keillor

My father for advice he'd tell you, "The secret to being a successful comedian is to never stop talking until you hear someone laugh." Meaning: Persevere. Meaning: Be determined. Make just one person laugh; then leverage that person and that joke into more laughter. As some people decide you're funny, increasing numbers of people will begin to agree. ~ Chuck Palahniuk

The deepest, most complex part of our soul is satisfied with a simple word of thanks or encouragement--an act of unconditional love. ~ Mike Coe

What I do find surprising is that other people do not think in the same way. I find it hard to imagine a world where numbers and words are not how I experience them! ~ Daniel Tammet

Some ancient Indian texts claim that numbers are almost divine, or "Brahma-natured. ~ Mario Livio

As civilization grows more complex, it is simultaneously becoming increasingly interrelated. We are converging upon ourselves, and this is forcing us to relate. ~ Anodea Judith