Dec. 10th, 2001

kuangning: (Default)



If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.



I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.



Which Springer GTM would you be? The Springer GTM
Test



kuangning: (Default)
Assumptions...

Hanging on to a memory of hurt because you're too afraid to find out whether things have changed. Never letting go of the hypervigilance, too busy being wary to notice that no-one's wielding the knife any longer. Too obsessed with the memory of things lost, to see what could be.

Abraham, are we sometimes bound by pride?
Too mindful of our hopes and dreams, to let the anger slide?

... What of the future, Abraham?
Will we achieve some peace?
From these solitudes we wander in,
Will there be some release?

-- James Keelaghan, Abraham


I'm tired of guarding against blows that haven't fallen yet... aren't you? I'm sick of wondering, and I think maybe you feel the same way. I'm thinking back beyond pain to a time that wasn't bad, even if it wasn't entirely right, and remembering what used to be, before there was this. I don't want to go back in time, I needed the lessons I learned, and that will never happen again, but I'm ready to go on now. Take a chance, and walk with me again awhile?
kuangning: (Default)
Your Result: 76

You are undoubtedly odd. You worry your family, and you no longer have any normal friends. When you go on holiday, you chose places like Transylvania, the Sonora desert, McMurdo Sound and the Amazonian rain-forest. You mutter and mumble to yourself in times of stress, and you try not to open your wardrobe too often, in case something comes through...

Take the Kook Test.
kuangning: (quizzical)
Each of us has a spark of life inside us, and our highest endeavor ought to be to set off that spark in one another.
- Kenny Ausubel


Something I received from a stranger, coupled with a few exchanges with [livejournal.com profile] fearghaill, [livejournal.com profile] tequilasunset, and [livejournal.com profile] episoen, among others, has me thinking. It's not a well-formed thought right now, so forgive me if I ramble a little while I chase it.

There are people in my life who inspire me. Whose thoughts and feelings set up a resonance with me, and spark things in my mind and heart that wouldn't have come to fruition without that nudge in the right direction. In some way, every life that's crossed mine has affected me. I'm lucky enough, however, that the number of the ones who helped me grow is far larger than the number of those who diminished me.

This, I suppose, goes back to that statement of why I keep people on my friends list. So many of you, with so many different viewpoints and loves and beliefs... in some important ways, you shape me. I listen, I read, and inevitably, I come away with something worth having. I hope that occasionally, I do the same for you, but I can't begin to express how awed I am, by this phenomenon of LiveJournal. So many sparks of intelligence and humour and experience, all in one space, so many voices... and just looking at myself, I know and can see how different I am, in some ways, because of the exposure.

If you treat an individual as he is, he will remain as he is. But if you treat him as if he were what he ought to be and could be, he will become what he ought and could be.
- Johann Wolfgang von Goethe


For all the pain I remember, for all the hurtful things I have ever and will ever experience, there is balm in the knowledge that people care. That people who have never met me, even, took the time and effort required to make sure I was all right, to set me right when I was wrong, and to tell me when I made a difference. To help make me the person I can be.

I once told someone that I "loved the person he saw in me," as a possibility. With the majority of people in my life, I love them for who they already are. There have been a few whom I loved for the person they let me be... they brought to life something in me that no-one else saw, because no-one else inspired it. The thing about that, I guess, is that all things can be mastered with practice. Allow me to express that side of me often enough, and I will grow accustomed to being that way... once the wildfire's burning, the match is no longer necessary. (Though any and all contributions are welcome, nyah!) *grin.*

Anyway... that's the train of thought, for the moment. I'm off to help [livejournal.com profile] katster attain her goal of 100 comments... anyone wanna help?
kuangning: (Default)
It's been a lovely day. But right now, I need to go eat... skipped lunch after early breakfast makes Cairsten a hungry girl. I'll be back after dinner.

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