There is a remarkable degree of consistency in the way mediaeval literature affirms humanity. With all its faults, humanity emerges as more realistic than heavenly ideals... Because the mediaeval period is seen from our own times as historically distant, 'behind' the Renaissance with all the changes which that period brought, it has been undervalued for its own debates, developments and changes. The fact that mediaeval times have been revisited, re-imagined and rewritten, especially in the Romantic period, has tended to compound the ideas of difference and distance between this age and what came after. But in many ways the mediaeval period presages the issues and concerns of the Renaissance period and prepares the way for what was to come.
If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos.
It's perfect for me, ... It's a period piece, and I'm totally in love with period pieces. And that it is about this woman who was a classical prodigy, who grew up in Harlem, where I grew up, who is obviously half-black and half-white, like I am, who studied classical (music), like I did. But the twist comes in for me, obviously, because the time period had so much tension.
How will you know the difficulties of being human, if you are always flying off to blue perfection? Where will you plant your grief seeds? Workers need ground to scrape and hoe, not the sky of unspecified desire.
When young men are beginning life, the most important period, it is often said, is that in which their habits are formed. That is a very important period. But the period in which the ideas of the young are formed and adopted is more important still.
I believe almost every author have gone through the terribly uncomfortable period between the time of shedding the seeds of a story and waiting to see it flourish as a published book, spending hours watering and fertilizing it. This is a dreadful period, frustrating and depressing.