One way to think about a pure hyperbolic surface is that it's the geometric opposite of a sphere. If you look at a sphere, the curvature is the same everywhere, as opposed to, say, an egg, which clearly does not curve the same everywhere. This is what makes spheres geometrically important. Mathematically speaking, a sphere has positive curvature and a hyperbolic surface has negative curvature, but both have constant curvature everywhere.

Our recent pop-music icons, even the most radical ones, like Björk or Caetano Veloso, often have to present themselves as happy and make positive work because they have such a large young fan base to whom they feel responsible. They can't be too negative. Now, criticism is basically a negative act. As you know, critics are neither pop stars nor popular. They are the gripers. But someone has to speak up and say no to this and yes to that.

The maker of kitsch does not create inferior art, he is not an incompetent or a bungler, he cannot be evaluated by aesthetic standards; rather, he is ethically depraved, a criminal willing radical evil. And since it is radical evil that is manifest here, evil per se, forming the absolute negative pole of every value-system, kitsch will always be evil, not just kitsch in art, but kitsch in every value-system that is not an imitation system.

there ought always to be a constitutional method of giving efficacy to constitutional provisions. What for instance would avail restrictions on the authority of the state legislatures, without some constitutional mode of enforcing the observance of them? . . . This power must either be a direct negative on the state laws, or an authority in the federal courts, to over-rule such as might be in manifest contravention of the articles of union.

Detached forgiveness—there is a reduction in negative feelings toward the offender, but no reconciliation takes place. Limited forgiveness—there is a reduction in negative feelings toward the offender, and the relationship is partially restored, though there is a decrease in the emotional intensity of the relationship. Full forgiveness—there is a total cessation of negative feelings toward the offender, and the relationship is fully restored.

The average net worth of the lower half of the distribution, representing 62 million households, was $11,000 in 2013. About one-fourth of these families reported zero wealth or negative net worth, and a significant fraction of those said they were "underwater" on their home mortgages, owing more than the value of the home. This $11,000 average is 50 percent lower than the average wealth of the lower half of families in 1989, adjusted for inflation.

Each new ontological theory, propounded in lieu of previous ones shown to be untenable, has been followed by a new criticism leading to a new scepticism. All possible conceptions have been one by one tried and found wanting; and so the entire field of speculation has been gradually exhausted without positive result: the only result reached being the negative one above stated, that the reality existing behind all appearances is, and must ever be, unknown.

I'm from a Lebanese-American family. And I've been had lot of contacts and - with Arab-American community, especially Arab-American filmmakers and actors and so forth. It's a community that, a minority that really hasn't been heard from enough. And so many of the stories that are told about Arab-Americans these days are just negative portrayals in the news, but also in television and film. So we're - we set out to try and offset some of those stereotypes.

Incidentally, the very, very first review that James Lavelle and I saw of Endtroducing was very negative! It was in The Wire, and the context of the review was that, you know, Mo'Wax was so far behind Ninja Tune. Heheheh. And people wonder why there was this sense of a feud between labels! We just kind of looked at each other and we were like, 'Oh, well, let the floodgates open!' But, not to be facile, that was literally the last bad review I ever saw for that album.

If you look at the ecosystem, entrepreneurs as a class have gotten younger, younger, and younger. They also as a class have become less and less and less experienced. The good part about that is that you're unlocking this ability to start a company to so many more people. That's an amazing positive. The negative is they're coming to that job with dramatically less experience than they've ever had. So there needs to be someone around the table that can then help them.

The Internet obviously changes things; we've seen that in the music industry above all else. As an author, I'm now having to deal with the fact that it's happening in the publishing industry as well. And publishing is going through a very difficult time. Some view it as positive, some negative, but nobody really knows how to deal with it. If you're an author it looks very challenging because your work can be pirated so easily and there's very little you can do about it.

There is one thing of which I can assure you. If good performance of the fund is even a minor objective, any portfolio encompassing one hundred stocks (whether the manager is handling one thousand dollars or one billion dollars) is not being operated logically. The addition of the one hundredth stock simply can't reduce the potential variance in portfolio performance sufficiently to compensate for the negative effect its inclusion has on the overall portfolio expectation.

And human instinct is ancient and reliable, utterly mysterious and possibly capable of great genius. I believe that refined, fluent instincts are a person's most valuable asset. My own instincts have repeatedly guided me against the grain of logic and probability. When I have trusted and followed their direction, they have never been wrong. I don't know how or why. But I know that every significant experience-positive or negative-sharpens them and makes them more accurate.

It's really about taking something inherently negative, and starting with the word loser, starting with something that's negative, and changing it into something that's positive, redefining it, but doing it in a certain way, how - like I would say when I look out at the world and you see it's dark and it's just overbearing and every day is depressed, depressed, depressed. What it took was to change my perspective a little bit. Not to change the world, to change my perspective.

Russian law on banning nontraditional relationships basically says you cannot have any portrayal, neutral or positive, of homosexual relationships or nontraditional families, period. And you also cannot have negative portrayals of heterosexual relationships. So along the way, the law completely quashes any kind of public discussion on domestic violence. No discussion of relationships at all, unless you want to showcase a heterosexual love story, that preferably involves reproduction.

As the original 'Mary Poppins' budget of five million dollars continued to grow, I never saw a sad face around the entire Studio. And this made me nervous. I knew the picture would have to gross 10 million dollars for us to break even. But still there was no negative head-shaking. No prophets of doom. Even Roy was happy. He didn't even ask me to show the unfinished picture to a banker. The horrible thought struck me - suppose the staff had finally conceded that I knew what I was doing.

We have heard of a Society for the Diffusion of Useful Knowledge. It is said that knowledge is power, and the like. Methinks there is equal need of a Society for the Diffusion of Useful Ignorance, what we will call Beautiful Knowledge, a knowledge useful in a higher sense: for what is most of our boasted so-called knowledge but a conceit that we know something, which robs us of the advantage of our actual ignorance? What we call knowledge is often our positive ignorance; ignorance our negative knowledge.

When a big change occurs in your life it forces you to change direction. Sometimes the new path may not be easy, but you can be absolutely certain that there is magnificence for you on the new path. You can be absolutely certain that the new path contains things that you could not have experienced otherwise. When we look back at a negative event that occurred in the past, we often see how in fact it transformed our life. We see how that event directed us toward a life that we would not change for anything.

Millennials are an easy group to identify in terms of their appearance and are therefore highly subject to being stereotyped. When a negative stereotype about a group is relevant to performance on a specific task, it is referred to as "stereotype threat." Individuals who are highly identified with a particular group may experience increased susceptibility to stereotype threat.Understanding perceptions and why they may exist helps to explain and demystify tension and conflict that surfaces as a result of generational discord.

There have always been two theories about inequality. One is that it reflects just deserts. The other is that there are large elements of exploitation and inequality of opportunities. The evidence is overwhelmingly that the increase in inequality is associated with those negative factors. If it were all social contribution, then when the top did better, they would be contributing to everybody's well-being. That trickle-down hasn't happened. We've seen median income, people in the middle, actually worse off than they were 25 years ago.

It has been demonstrated that a species of penicillium produces in culture a very powerful antibacterial substance which affects different bacteria in different degrees. Generally speaking it may be said that the least sensitive bacteria are the Gram-negative bacilli, and the most susceptible are the pyogenic cocci ... In addition to its possible use in the treatment of bacterial infections penicillin is certainly useful... for its power of inhibiting unwanted microbes in bacterial cultures so that penicillin insensitive bacteria can readily be isolated.

Archaeology is a science, and like all sciences, has its limitations. For one, archaeological discoveries made in the past centuries have been reappraised and reinterpreted by more recent findings. Some of the older positive claims, as well as most of the negative criticisms of the Bible, have changed, usually for the better. For another, the actual amount of archaeological evidence is quite small. It has been estimated that less than 1% of archaeological sites in the Holy Land have been excavated, and those that have been excavated have only been partially excavated.

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