Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being. — Gottfried Leibniz
After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential. — Leonhard Euler
The shortest path between two truths in the real domain passes through the complex domain. — Jacques Hadamard
Wherever there is a number, there is beauty. — Proclus
Bless us, divine number, who generated gods and men. Number contains the root and source of eternally flowing creation. — Pythagoras
Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements. — Omar Khayyam
God is the tangential point between zero and infinity. — Alfred Jarry
God used beautiful mathematics in creating the world. — Paul Dirac
Squaring numbers are just like women. If they're under thirteen, just do them in your head. — Bo Burnham
For the sake of brevity, we will always represent this number 2.718281828459... by the letter e. — Leonhard Euler
We are all primary numbers divisible only by ourselves. — Jean Guitton
There is geometry in the humming of the strings, there is music in the spacing of the spheres. — Pythagoras
Perfect numbers like perfect men are very rare. — Rene Descartes
Complex Numbers Image Quotes
You have to be odd to be number one.
Complexes Quotes
The secret of getting ahead is getting started. The secret of getting started is breaking your complex overwhelming tasks into small manageable tasks, and starting on the first one. — Mark Twain
Violence is a cleansing force. It frees the native from his inferiority complex and from his despair and inaction; it makes him fearless and restores his self-respect — Frantz Fanon
Power is not an institution, and not a structure; neither is it a certain strength we are endowed with; it is the name that one attributes to a complex strategical situation in a particular society. — Michel Foucault
Genius is making complex ideas simple, not making simple ideas complex — Albert Einstein
Men will surrender to the spirit of the age. They will say that if they had lived in our day, faith would be simple and easy. But in their day, they will say, things are complex; the Church must be brought up to date and made meaningful to the day's problems. — Anthony of Padua
Intricate minglings of different uses in cities are not a form of chaos. On the contrary, they represent a complex and highly developed form of order. — Jane Jacobs
Life is simple; we create the complexity.
What I treasure most in life is being able to dream.
During my most difficult moments and complex situations
I have been able to dream of a more beautiful future. — Rigoberta Menchu
Nothing is perfect. Life is messy. Relationships are complex. Outcomes are uncertain. People are irrational. — Hugh Mackay
In order to develop normally, a child requires progressively more complex joint activity with one or more adults who have an irrational emotional relationship with the child. Somebody's got to be crazy about that kid. That's number one. First, last and always. — Urie Bronfenbrenner
I believe that there's no improvement if you have an inferiority complex and victim mentality. — Kim Nam-joon
The northern ocean is beautiful, ... and beautiful the delicate intricacy of the snowflake before it melts and perishes, but such beauties are as nothing to him who delights in numbers, spurning alike the wild irrationality of life and baffling complexity of nature's laws. — John Lighton Synge
[All phenomena] are equally susceptible of being calculated, and all that is necessary, to reduce the whole of nature to laws similar to those which Newton discovered with the aid of the calculus, is to have a sufficient number of observations and a mathematics that is complex enough. — Nicolas de Caritat, marquis de Condorcet
When the number of factors coming into play in a phenomenological complex is too large scientific method in most cases fails. One need only think of the weather, in which case the prediction even for a few days ahead is impossible. — Albert Einstein
Considering the inconceivable complexity of processes even in a simple cell, it is little short of a miracle that the simplest possible model - namely, a linear equation between two variables - actually applies in quite a general number of cases. — Ludwig von Bertalanffy
I don't let people use me. That's why I like a small number of people in my life. The more people in my life, the more complex it becomes, so I just try to keep it at a minimum. — Anita Baker
The intellectual evolution of the race consists in an increase in the number, delicacy, complexity, permanence and speed of formation of such associations. — Edward Thorndike
... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan. — Michio Kaku
Any single historical event is too complex to be adequately known by anyone. It transcends all the intellectual capacities of men. Our practice is to wait until a sufficient number of details have been forgotten. Of course things seem simpler then! Our memories work that way; we retain the facts which are easiest to think about. — B. F. Skinner
Indeed, nowadays no electrical engineer could get along without complex numbers, and neither could anyone working in aerodynamics or fluid dynamics. — Keith Devlin
This growth in the number, speed of formation, permanence, delicacy and complexity of associations possible for an animal reaches its acme in the case of man. — Edward Thorndike
The English language is more complex than calculus because numbers don't have nuances. — Andy Rooney
As the number of unexplained, irreducibly complex biological systems increases, our confidence that Darwin's criterion of failure has been met skyrockets toward the maximum that science allows. — Michael Behe
You cannot communicate complicated information to large groups of people. As you increase the number of people, you have to decrease the complexity of the information. — Andy Stanley
The only reason that we like complex numbers is that we don't like real numbers. — Bernd Sturmfels
The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers. — Keith Devlin
You could not have evolved a complex system like a city or an organism - with an enormous number of components - without the emergence of laws that constrain their behavior in order for them to be resilient. — Geoffrey West
There can be very little of present-day science and technology that is not dependent on complex numbers in one way or another. — Keith Devlin
What differentiates human from lower-animal consciousness is time. You can't explain the concept of "tomorrow" to your dog. Our consciousness is dominated by time - We're constantly running simulations of the future. Our brain is a prediction machine. The hallmark of intelligence, indeed of genius, is the number and complexity of the feedback loops we use in predicting the future. — Michio Kaku
I tell you, with complex numbers you can do anything. — John Derbyshire
The simplest single-celled organism oscillates to a number of different frequencies, at the atomic, molecular, sub-cellular, and cellular levels. Microscopic movies of these organisms are striking for the ceaseless, rhythmic pulsation that is revealed. In an organism as complex as a human being, the frequencies of oscillation and the interactions between those frequencies are multitudinous. — George Leonard
The songwriting of Hall & Oates is deceptively complex. There are a number of key changes that pass you by as you're listening to the song because they're so seamless and clever. — Ben Gibbard
As experimentation becomes more complex, the need for the co-operation in it of technical elements from outside becomes greater and the modern laboratory tends increasingly to resemble the factory and to employ in its service increasing numbers of purely routine workers. — John Desmond Bernal
War to me is very much like sex. You can develop a theory that says sex is primarily for the exchange of genetic material, or that it's a celebration of life, or you can make up 50,000 theories about why human beings have sex, all of which are in some sense true, all of which by themselves miss the point. Because the answer is extraordinarily complex. It may be for fun, it may be for reproduction, for financial reasons, any number of things. — George Friedman
China's economy became more complex. By now there is a large number of small- and medium-sized companies that work quite differently from big, state-owned enterprises. They don't follow any long-term business plan and don't rent office space for years to come. They start out and need an office right away, for a week, a month or half a year, and they want to be among other entrepreneurs like themselves. — Zhang Xin
That doesn't mean that the top fifteen institutions in the ranking somehow don't belong there at all. But what is the difference between number two and number eight in any meaningful sense? As an administrator who worked to build a complex university, I find the assumption slightly offensive. We need to be committed to excellence, not to lists. — Henry Rosovsky
The social sciences, like much of biology but unlike most fields of the physical sciences, have to deal with structures of essential complexity, i.e. with structures whose characteristic properties can be exhibited only by models made up of relatively large numbers of variables. — Friedrich August von Hayek
Where you have complexity, by nature you can have fraud and mistakes. You'll have more of that than in a company that shovels sand from a river and sells it. This will always be true of financial companies, including ones run by governments. If you want accurate numbers from financial companies, you're in the wrong world. — Charlie Munger
Pakistan always seems to have a lot of political complexities and political challenges. But Pakistan is important for a number of reasons. Primarily, it is a nuclear power. And if, in fact, al Qaeda and Taliban, which are in Pakistan and causing a lot of tragedies and deaths in Pakistan - if they would ever somehow have real influence and control of that government, then we [world] really have a problem. — Dan Quayle
Certain supplementary restrictions imposed on the text compel us to perceive it as poetry. As soon as one assigns a given text to the category of poetry, the number of meaningful elements in it acquires the capacity to grow and the system of their combinations also becomes more complex. — Yuri Lotman
I've done a number of films. I've been around this. I think the biggest challenge is just getting the script right, the way that you want the script to be. It's really about capturing the complexity of emotions and creating the kind of characters that people will want to watch every week. — Nicholas Sparks
In however complex a manner this feeling may have originated, as it is one of high importance to all those animals which aid and defend one another, it will have been increased through natural selection; for those communities, which included the greatest number of the most sympathetic members, would flourish best, and rear the greatest number of offspring. — Charles Darwin
Man! The most complex of creatures, and for this reason the most dependant of creatures. On everything that has formed you, you may depend. Do not balk at this apparent slavery....a debtor to many, you pay for your advantages by the same number of dependencies. Understand that independence is a form of poverty; that many things claim you, that many also claim kinship with you. — Andre Gide
What makes something simple or complex? It's not the number of dials or controls or how many features it has: It is whether the person using the device has a good conceptual model of how it operates. — Donald A. Norman
Now our world is at the present time firmly in the grip of a mechanical monster, whose head - if you want to call it that - is the World Engineer's Complex. That monster is opposed to us and can keep all too good a tab on us through every purchase we make with our credit numbers, every time we use the public transportation or eat a meal or rent a place to live. — Gordon R. Dickson
American movie audiences now just don’t seem to be very interested in any kind of ambiguity or any kind of real complexity of character or narrative - I’m talking in large numbers, there are always some, but enough to make hits out of movies that have those qualities. I think those qualities are now being seen on television and that people who want to see stories that have those kinds of qualities are watching television. — Steven Soderbergh
We regard as 'scientific' a method based on deep analysis of facts, theories, and views, presupposing unprejudiced, unfearing open discussion and conclusions. The complexity and diversity of all the phenomena of modern life, the great possibilities and dangers linked with the scientific-technical revolution and with a number of social tendencies demand precisely such an approach, as has been acknowledged in a number of official statements. — Andrei Sakharov
The brain immediately confronts us with its great complexity. The human brain weighs only three to four pounds but contains about 100 billion neurons. Although that extraordinary number is of the same order of magnitude as the number of stars in the Milky Way, it cannot account for the complexity of the brain. The liver probably contains 100 million cells, but 1,000 livers do not add up to a rich inner life. — Gerald Fischbach
Volition . . . takes place only when there are a number of conflicting systems of ideas, and depends on our having a complex field of consciousness. — William James
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
I know from my own experience that there is much more to 'intelligence' than an IQ number. In fact, I hesitate to believe that any system could really reflect the complexity and uniqueness of one person's mind, or meaningfully describe the nature of his or her potential. — Daniel Tammet
In Conclusion
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