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A thread in 15 parts
(0/15)
Recall that a quasigroup (Q,*) is a set Q with a binary operation * such that for each a,b in Q, the equations a*x=b and y*a=b have unique solutions x,y. Groups are quasigroups and this property is usually one of the first things proved in elementary group theory.
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Note that we don't assume associativity of *!
A loop is a quasigroup with an identity element. The story of why they are called loops is an interesting one and may even be true, but I will save it for another day. I am going to focus on loops in this thread.
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Natural examples of nonassociative loops:
- The nonzero octonions under multiplication
- The sphere S^7 under octonion multiplication
- I have discussed other examples
Rethinking Vector Addition
— Michael Kinyon (@ProfKinyon) December 1, 2020
or
How I Learned to Stop Worrying and Love Nonassociativity
A thread in 29 tweets
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For each x in a loop Q, define the left & right translations L_x, R_x : Q->Q by L_x(y)=xy and R_x(y)=yx. These mappings are permutations of Q. The composition L_x L_y of two left translations is not necessarily a left translation because Q is not necessarily associative.
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Oh for crying out loud. I don't know anyone who thinks we can get R below 0.9 with this new variant. It's 22 virus generations to even get from 50,000 cases to 5,000 at R=0.9 - that's 4 months. TTI is a complete fantasy right now: spend the money on the vaccine rollout. https://t.co/MyeBt8tC1w
— Oliver Johnson (@BristOliver) January 3, 2021
During wave 1 cases fell very fast, faster than I think most people were expecting. Particularly in Scotland. Rt was probably ~0.5 until we started easing off.
This was despite a constant leak of cases coming out of hospitals and LTC facilities as we were rationing PPE and are policies were nowhere near ideal. There was insistence from infection control that droplet protections were sufficient. We have all learned a lot since then.
Not to mention we have learned to avoid the shit show of actively importing cases into care homes. We've learned not to repeat that. Other sectors have learned too.
We've learned a lot and there's no reason we can't control this new variant. But we will not manage if we don't try and act with clarity of purpose.
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Decoded his way of analysis/logics for everyone to easily understand.
Have covered:
1. Analysis of volatility, how to foresee/signs.
2. Workbook
3. When to sell options
4. Diff category of days
5. How movement of option prices tell us what will happen
1. Keeps following volatility super closely.
Makes 7-8 different strategies to give him a sense of what's going on.
Whichever gives highest profit he trades in.
I am quite different from your style. I follow the market's volatility very closely. I have mock positions in 7-8 different strategies which allows me to stay connected. Whichever gives best profit is usually the one i trade in.
— Sarang Sood (@SarangSood) August 13, 2019
2. Theta falls when market moves.
Falls where market is headed towards not on our original position.
Anilji most of the time these days Theta only falls when market moves. So the Theta actually falls where market has moved to, not where our position was in the first place. By shifting we can come close to capturing the Theta fall but not always.
— Sarang Sood (@SarangSood) June 24, 2019
3. If you're an options seller then sell only when volatility is dropping, there is a high probability of you making the right trade and getting profit as a result
He believes in a market operator, if market mover sells volatility Sarang Sir joins him.
This week has been great so far. The main aim is to be in the right side of the volatility, rest the market will reward.
— Sarang Sood (@SarangSood) July 3, 2019
4. Theta decay vs Fall in vega
Sell when Vega is falling rather than for theta decay. You won't be trapped and higher probability of making profit.
There is a difference between theta decay & fall in vega. Decay is certain but there is no guaranteed profit as delta moves can increase cost. Fall in vega on the other hand is backed by a powerful force that sells options and gives handsome returns. Our job is to identify them.
— Sarang Sood (@SarangSood) February 12, 2020
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