Quotes About Integration

Thus, calculus proceeds in two phases: cutting and rebuilding. In mathematical terms, the cutting process always involves infinitely fine subtraction, which is used to quantify the differences between the parts. Accordingly, this half of the subject is called differential calculus. The reassembly process always involves infinite addition, which integrates the parts back into the original whole. This half of the subject is called integral calculus.

To shed light on any continuous shape, object, motion, process, or phenomenon—no matter how wild and complicated it may appear—reimagine it as an infinite series of simpler parts, analyze those, and then add the results back together to make sense of the original whole.

Anything that's continuous can be sliced exactly (not just approximately) into infinitely many infinitesimal pieces.

Cubism Meets Calculus

A]n increasing number of people around the world are seeing their place for the first time within this naturalistic worldview. This recognition represents for humanity a return to the cosmos, a more sophisticated integration of culture and cosmos that humans possessed when cultures began, ranging from Stonehenge and the ancient civilizations such as Sumer and Egypt to Native Americans and the Australian aborigines.

Emergent properties can seem magical because they do not seem to arise from the component parts of a structure. [...] Thought [...] seems to be an emergent property of the organization of neurons in brains. [...] "Emergent properties" arise from a particular arrangement of components—they do not appear within the component parts themselves.

Good ideas may not want to be free, but they do want to connect, fuse, recombine. They want to reinvent themselves by crossing conceptual borders. They want to complete each other as much as they want to compete

We are often better served by connecting ideas than we are by protecting them... Environments that build walls around good ideas tend to be less innovative in the long run than more open-ended environments. Good ideas may not want to be free, but they want to connect, fuse, recombine.... They want to complete each other as much as they want to compete. The single maxim that runs through the book: Where Good Ideas Come From .

Computer technology is so built into our lives that it's part of the surround of every artist.

perfect in itself, somehow connected with every other fragment, so that the whole was greater than the sum of its parts.

I see music as one language. If one musical form eats its own tail, it dies. So it needs to be a mongrel, it needs to be hybridised.

Before a group can enter the open society, it must first close ranks.

My dear, if you insist on spending so much time among humans, you will start thinking like them.

The earth and the city had become one, a mutant creation. Ays saw figures moving on the hanging streets. He saw white faces at shadows. Were these his people?

How many personalities resided in a single body? Was it possible all aspects of a person could be real?

I longed for the Confederate flags of the South, because at least the South had clear lines of demarcation and warning. In Minnesota, there were only smiling faces, open classroom doors, and a stinging persistent coldness that let me know that I was in a new, different place that wasn't really welcoming—and that this place was resistant to me calling it home.

Over the years, we settled into American life and embraced it fully. But having come from a different culture, I didn't know the boundaries of American culture. Which is that, as a girl, you didn't play football or soccer at lunch with the boys, and to be cool, you didn't get into math Olympiad.

Over the last 10-15 years, you've seen soccer finally start to grow at a fast pace, start to get the recognition it deserves, and I think it has to do with all of the people who come to America from foreign countries.

If you try to put social and cultural development ahead of economic development, it doesn't work. You have to do it all together.

Children are sent to school to be civilized, to learn to be part of the social enterprise.

Legally we have integration, social acceptance and diversity... but that doesn't mean... everybody is down with it.

The social science on the impact of desegregation is clear. Researchers have consistently found that students in integrated schools - irrespective of ethnicity, race, or social class - are more likely to make academic gains in mathematics, reading, and often science than they are in segregated ones.

Despite the ethnic diversity within each nation, the social fabric of the region by and large is one.

Policy should not aim to change the cultural character and social fabric of Canada.