Update 09_0_Expanding_Bitcoin_Transactions_with_Schnorr.md

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This is the initial theory for this section:
This was the initial theory for this section:
* New Section X.1: Understanding Schnorr Signatures
* New Subsection: Understanding the Math of Schnorr
@ -17,3 +17,37 @@ This is the initial theory for this section:
* New Subsection: Reading a Schnorr Signature
* New Subsection: Using Schnorr with Taproot
* Update Chapter 6 (Multisigs) to Integrate with Schnorr [this might be another section]
We also may want some of this:
**Chapter Y: Improving Bitcoin Scripts with Taproot** (probably between chapters 13+14, possibly expanding to two chapters)
* New Section Y.1: Understanding MAST
* New Subsection: Improving Privacy with MAST
* New Subsection: Laying out a Script in MAST
* New Subsection: Knowing the Advantages of MAST
* Explanation: larger scripts
* Explanation: hidden branches of scripts
* Explanation: fungibility
* https://github.com/bitcoin/bips/blob/master/bip-0114.mediawiki
* New Section Y.2: Understanding Taproot
* New Subsection: Integrating MAST with Taproot
* Explanation: Expanding Segwit
* Explanation: Integrating Schnorr Signatures
* New Subsection: KNowing the Advantages of Taproot
* Explanation: even more privacy; scripts and other addresses are indistinbuishable
* Reference: https://github.com/bitcoin/bips/blob/master/bip-0341.mediawiki
* Reference: https://github.com/bitcoin/bips/blob/master/bip-0342.mediawiki
* New Subsection Y.3: Creating a Taproot Script
* New Subsection: Defining a Taproot Script
* Explanation: Segwit v1, 32-byte program, not P2SH wrapped, leaf version is 0xc0
* New Codes: OP_CHECKSIGADD and OP_SUCCESS
* Cut Codes: OP_CHECKMULTISIG and OP_CHECKMULTISIGVERIFY
* Reference: https://twitter.com/pwuille/status/1459778730369368067
* New Subsection Y.4: Importing a tr Desciptor
* New Subsection Y.5: Using Taproot in Practice
* New Subsection: Making a Taproot Payment
* New Subsection: Validating a Taproot Script
* Update Chapter 9 to Integrate with Taproot
* Mention Taproot in 9.1 or 9.2
* Add New Section 9.6: Scripting a P2TR (mostly a pointer to Chapter Y)