I was reading transfer function and how to find the number of infinite zeros. Is it possible that given a generic system = G(s), where G(s) = N(s)/D(s). What is the advantage or disadvantage of having a large number of infinite zeros? Also is it possible to have number of zeros greater than the number poles in system G(s)?
When designing a cascade compensator for LTI system, lead or lag, how could you select compensator zeros and poles, for example, when should I use complex poles/zeors and when should I use real poles/zeros as a compensator?
Specifically I'm interested in when the surface X is the modular curve corresponding to Gamma_{0}(N). In case it's not well-known, a Hauptmodul is a generator for the 1-dimensional (as an algebra) algebra of meromorphic functions on X, i.e. the function field of X.
I'm thinking that, because X is essentially the same as the Riemann sphere, on which the function field is generated by z --> z (having order -1 at infinity), the answer to my question should be "yes". But I'm not versed enough in geometry to confirm this.
Seriously, how low can you go?!
I just thank my lucky stars I live in Canada.
Edit: Sorry.
I'd like to eventually get to 20-25 mile days as I prep for a thru hike within the next couple years, but I've never been a fast hiker.
On hilly but not mountainous terrain I actually do ok: avg calculated at 2.4mph over 50 miles in the last couple weeks, but that's with very little incline.
But my average when tackling moderate incline (avg 23deg grade) is closer to 1.25 mph, calculated over 10 miles on 3 days).
Two things that I know are slowing me down are excessive pausing as I stop to catch my breath, and possibly not taking big enough steps.
I think the former I can deal with by just hiking more and getting in shape. The latter I'm trying to deal with by stretching and getting more limber.
Just curious what kind of luck you all have had in increasing your speed. Tips welcome!
EDIT: lots of fantastic advice in this thread, thanks everyone.
Edit: everyone, I've read every one of these replies and you've all made my day.
I too am relieved to know that this is such a universal childhood (and adulthood, I see!) Experience!
My 19yr old was driving my 2016 BMW 428i with her friend in passenger seat and my 15yr old daughter in the back seat behind the passenger. It was raining and she slipped off the road and hit a light pole sideways on the passenger side. Passenger airbag deployed and kept both her friend and my 15 yr old daughter from serious injury. My daughter who was driving was not so lucky. None of the sensors on the front of the vehicle or on driver side touched anything. The vehicle is totaled because of the severe damage on passenger side. Shouldnβt the driver side airbag have deployed as well? There is no recall on the car. She was back in town for Christmas and we have been in ICU since Sunday 14th. I believe if her airbags had deployed, she would not be in this situation. We canβt wait for her to regain consciousness and start her recovery. Is there any manufacturer liability? We live in Tennessee. Thanks for any advice you can give.
Edit: Thank you so much for all the advice and kind words. Merry Christmas everyone.
Iβve never heard him complain
