Add initial implementation of Hopfield and Hamming networks with web interface

- Create Dockerfile and entrypoint script for application setup
- Implement pattern loading from Excel and weight caching
- Develop core functions for Hopfield and Hamming networks
- Add Sinatra web server for user interaction
- Create HTML interface for displaying patterns and results
- Include necessary gems in Gemfile and lockfile
- Add .dockerignore and .gitignore files

hamming.rb

@@ -0,0 +1,29 @@
+def hamming_layer(pattern_vectors, input_vec)
+  n = input_vec.length
+  pattern_vectors.map do |pv|
+    dot = pv.zip(input_vec).sum { |a, b| a * b }
+    (dot.to_f + n) / 2.0
+  end
+end
+
+def maxnet_step(outputs, eps)
+  outputs.map.with_index do |val, i|
+    inhibition = eps * outputs.each_with_index.sum { |v, j| j == i ? 0.0 : v }
+    [val - inhibition, 0.0].max
+  end
+end
+
+MAX_MAXNET_ITER = 500
+
+def recall_hamming(pattern_vectors, input_vec)
+  eps = 0.9 / pattern_vectors.length
+
+  outputs = hamming_layer(pattern_vectors, input_vec)
+  MAX_MAXNET_ITER.times do
+    next_out = maxnet_step(outputs, eps)
+    return next_out.each_with_index.max_by { |v, _| v }[1] if next_out.count { |v| v > 0 } <= 1
+    outputs = next_out
+  end
+
+  outputs.each_with_index.max_by { |v, _| v }[1]
+end