Varinius's comments

Varinius | 9 years ago | on: How Russia and China Could Strike the U.S. Air Force’s ‘Achilles Heel’

Well, that's a bunch of ignorant baloney.

If Russia and China have these capabilities today, then opponents we DO engage will have them tomorrow... unless, you know, someone fixes the problem.

Not to say that we have nuclear assurances against a direct conflict between the US and Russia, we don't have such assurances for US proxies engaging Russian or Chinese proxies. The US needs to have enough conventional deterrence to prevent major proxy wars - which, by the way, destabilize the world economy and make the world a crappier place for everyone, including the "third-world-lives-don't-matter" isolationists such as yourself.

Varinius | 9 years ago | on: What Is Knot Theory? Why Is It in Mathematics? [pdf]

Invariants are useful because they allow you to distinguish equivalent knots, which is otherwise really hard to do. If two knots have different invariants, then they are surely different.

Dually, you would want the following: if two knots have identical dinvariants, then they are surely the same. Since "if the knots are equivalent, the assigned values might not be equal", dinvariants cannot accomplish this function, and that makes them mostly useless.

(full disclosure: lawyer who did his undergraduate degree in math, not a topologist)

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