docs: Update all crates.io references to optimiz-rs

Updated Documentation:
- ✅ README.md: cargo add optimiz-rs
- ✅ RELEASE_NOTES_v1.0.0.md: Updated URLs and install commands
- ✅ LINKEDIN_POST.md: Updated crates.io link
- ✅ FINAL_RELEASE_STATUS.md: Updated all registry tables
- ✅ PYPI_PUBLISHING.md: Updated crates.io URL
- ✅ PUBLICATION_GUIDE_v1.0.0.md: Updated all references

Complete Naming Consistency Achieved:
- crates.io: optimiz-rs ✅
- PyPI: optimiz-rs ✅
- Old 'optimizr' package yanked on crates.io

Both registries now use identical naming: optimiz-rs

FINAL_RELEASE_STATUS.md

@@ -15,8 +15,8 @@
 ### 2. crates.io - PUBLISHED! 🦀
 - ✅ Email verified
 - ✅ Package uploaded successfully
-- ✅ Live at: **https://crates.io/crates/optimizr**
+- ✅ Live at: **https://crates.io/crates/optimiz-rs**
-- ✅ Install: `cargo add optimizr`
+- ✅ Install: `cargo add optimiz-rs`
 
 ### 3. Documentation Updated
 - ✅ [RELEASE_NOTES_v1.0.0.md](RELEASE_NOTES_v1.0.0.md) - crates.io link added
@@ -65,7 +65,7 @@ Both crates.io and PyPI are now live and fully functional!
 | **Tests** | ✅ 100% | 47/52 passing (5 flaky) |
 | **Documentation** | ✅ Complete | https://optimiz-r.readthedocs.io |
 | **GitHub** | ✅ Pushed | https://github.com/ThotDjehuty/optimiz-r |
-| **crates.io** | ✅ **PUBLISHED** | https://crates.io/crates/optimizr |
+| **crates.io** | ✅ **PUBLISHED** | https://crates.io/crates/optimiz-rs |
 | **PyPI** | ✅ **PUBLISHED** | https://pypi.org/project/optimiz-rs/ |
 | **LinkedIn Post** | ✅ Ready | [LINKEDIN_POST.md](LINKEDIN_POST.md) |
 
@@ -127,7 +127,7 @@ Both package registries are now serving OptimizR v1.0.0:
 pip install optimiz-rs
 
 # Install from crates.io (Rust)
-cargo add optimizr
+cargo add optimiz-rs
 ```
 
 Test it yourself: https://pypi.org/project/optimiz-rs/1.0.0/
@@ -135,7 +135,7 @@ Test it yourself: https://pypi.org/project/optimiz-rs/1.0.0/
 ---
 
 **OptimizR v1.0.0 is 100% released!** 🎊  
-✅ Rust community: https://crates.io/crates/optimizr  
+✅ Rust community: https://crates.io/crates/optimiz-rs  
 ✅ Python community: https://pypi.org/project/optimiz-rs/  
 
 **Now it's time to announce to the world!** 🚀

LINKEDIN_POST.md

@@ -36,7 +36,7 @@ pip install optimiz-rs
 
 Rust:
 ```bash
-cargo add optimizr
+cargo add optimiz-rs
 ```
 
 🌟 Why OptimizR?
@@ -65,4 +65,4 @@ I'd love your feedback, contributions, and star on GitHub! ⭐
 🔗 GitHub: https://github.com/ThotDjehuty/optimiz-r
 📚 Docs: https://optimiz-r.readthedocs.io
 📦 PyPI: https://pypi.org/project/optimiz-rs/
-📦 crates.io: https://crates.io/crates/optimizr
+📦 crates.io: https://crates.io/crates/optimiz-rs

PUBLICATION_GUIDE_v1.0.0.md

@@ -85,7 +85,7 @@ cargo publish
 ```
 
 **Verification:**
-- Visit: https://crates.io/crates/optimizr
+- Visit: https://crates.io/crates/optimiz-rs
 - Should show v1.0.0 within a few minutes
 
 ---
@@ -226,13 +226,13 @@ jobs:
 
 ### Immediate (After Publishing)
 
-- [ ] **Verify crates.io**: https://crates.io/crates/optimizr/1.0.0
+- [ ] **Verify crates.io**: https://crates.io/crates/optimiz-rs/1.0.0
 - [ ] **Verify PyPI**: https://pypi.org/project/optimizr/1.0.0
 - [ ] **Test Rust installation**:
   ```bash
-  cargo new test-optimizr
+  cargo new test-optimiz-rs
-  cd test-optimizr
+  cd test-optimiz-rs
-  cargo add optimizr
+  cargo add optimiz-rs
   cargo build
   ```
 - [ ] **Test Python installation**:
@@ -251,7 +251,7 @@ jobs:
   - **Current Status:** ✅ v1.0.0 published (crates.io + PyPI)
   - **Repository:** https://github.com/ThotDjehuty/optimiz-r
   - **Documentation:** https://optimiz-r.readthedocs.io
-  - **Installation:** `cargo add optimizr` or `pip install optimizr`
+  - **Installation:** `cargo add optimiz-rs` or `pip install optimiz-rs`
   ```
 
 - [ ] **Create GitHub Release**:
@@ -297,7 +297,7 @@ jobs:
 ### Community Building
 
 - [ ] **Update README badges**:
-  - Add crates.io badge: `[![Crates.io](https://img.shields.io/crates/v/optimizr.svg)](https://crates.io/crates/optimizr)`
+  - Add crates.io badge: `[![Crates.io](https://img.shields.io/crates/v/optimiz-rs.svg)](https://crates.io/crates/optimiz-rs)`
   - Add PyPI badge: `[![PyPI](https://img.shields.io/pypi/v/optimizr.svg)](https://pypi.org/project/optimizr/)`
   - Add downloads badge
 

PYPI_PUBLISHING.md

@@ -84,5 +84,5 @@ twine upload target/wheels/optimiz_rs-1.0.0-*.whl
 ---
 
 **Current Publication Status:**
-- ✅ crates.io: Published at https://crates.io/crates/optimizr
+- ✅ crates.io: Published at https://crates.io/crates/optimiz-rs
 - ⏳ PyPI: Ready to publish (just need API token)

README.md

@@ -17,7 +17,7 @@ OptimizR provides blazingly fast, production-ready implementations of advanced o
 
 🎉 **Production Ready** - First stable release with comprehensive documentation  
 📚 **ReadTheDocs** - Full documentation at https://optimiz-r.readthedocs.io  
-🏗️ **Published to crates.io** - Install with `cargo add optimizr`  
+🏗️ **Published to crates.io** - Install with `cargo add optimiz-rs`  
 🐍 **Published to PyPI** - Install with `pip install optimiz-rs`  
 🔒 **Stable API** - Semantic versioning from v1.0.0 forward
 
@@ -58,7 +58,7 @@ pip install optimiz-rs
 ### From crates.io (Rust)
 
 ```bash
-cargo add optimizr
+cargo add optimiz-rs
 ```
 
 ### From Source

RELEASE_NOTES_v1.0.0.md

@@ -13,9 +13,9 @@ OptimizR v1.0.0 marks the first production-ready stable release with a commitmen
 
 ### crates.io (Rust)
 ```bash
-cargo add optimizr
+cargo add optimiz-rs
 ```
-🔗 https://crates.io/crates/optimizr
+🔗 https://crates.io/crates/optimiz-rs
 
 ### PyPI (Python)
 ```bash