Lemma used in a sentence

Lemma in a sentence as a noun

Flipping back 10 pages to check a lemma takes, well, 10 seconds. It really detracts from the study experience.

He'd still be writing the first lemma and the hour would be up. So he resorts to 1-character symbols, precise notations, and terse comments.

It sounds like this is an important lemma for his proof, but it hardly seems worth the extra minutes I'd need to spend reading to find out. There're no doubt bigger problems further in.

It is basically a lemma and a few theorems. But this book is 200 pages long. Why ? Because it tells you how to implement that lemma and those theorems using C++.

Me: Either create an automata and then it's demonstrably possible, or apply the pumping lemma to prove it's impossible? Him: No. Dare Stackoverflow to write it.

When you choose a signature authority that becomes the first lemma in your calculus "I trust ." [1] Now, once you have that lemma you can build on it with statements like, "I trust Microsoft, and Microsoft trusts Dell, so I will trust that the key Microsoft says is Dell's really is Dell's."

That's why I phrase it as a lemma on Darwin's theory: even if it proves true, as epigenetics suggests, it doesn't make Lamarckian thinking correct. If anything, the opposite: it shows that Lamarckian effects can be explained through natural selection.

Other important theorem, Hilbert's Nullstellensatz is frequently proved using a tool called Noether normalisation lemma. Because of that, Noetherian rings, algebras and modules are crucial to many subfields of algebra and algebraic geometry.

First you introduce them to finite state automatons, then you show them a cool trick of extending the words by walking in circles on the automaton's state graph, and only then you mention that this is basically a pumping lemma. After everyone understood the point of the pumping lemma, you write it down formally using five quantifiers, so that student can write it down concisely, as the idea is already understood at that point. I agree that the formal statement of the pumping lemma can be very uninspiring, but it only hints to two important facts.

So, all of a sudden college courses\nin undergraduate, junior level in mathematical\nstatistics -- weak/strong laws of large numbers,\nLindeberg-Feller central limit theorem,\nNeyman-Pearson lemma, Cramer-Rao lower bound,\nminimum variance, unbiased estimation,\nconfidence intervals, hypothesis testing,\nexperimental design and analysis of\nvariance,\netc. are packed?

Quote Examples using Lemma

Call me crazy, but I like the pumping lemma "It has an ferociously intimidating logical structure, with no fewer than five alternating quantifiers ... If two are a struggle, five is cruelty". Seriously, if you're planing on using the pumping lemma you should also be able to read and understand those five quantifiers. It's not "just the lemma", it's also the ability to read that and understand it that has some value in itself. Go on then to the pumping lemma for context free languages. I don't know about you but learning how to read the lemma and understand it, helped me understand the lemma for CFG really quickly. Knowledge is always good, and if you have to learn something else to get the lemma too, then that's even better and what do you know maybe one day you'll have to know how to read a complex statement with quantifiers and not the pumping lemma.

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