Design a Hopfield Network for 4-bit bipolar patterns. The training patterns are
S1 = [1 1 -1 -1]
S2 = [ -1 1 -1 1]
S3 = [ -1 -1 -1 1]
Find the weight matrix and energy for the three input samples. Determine the pattern to which the sample S = [−1 1 −1 −1]associates.
To design a Hopfield Network for the given 4-bit bipolar patterns, we will: 1. Compute the Weight Matrix (W) using the Hebbian learning rule. 2. Compute the Energy Function (E) for the given input samples. 3. Determine the pattern to which S = [-1 1 -1 -1] associates. --- ### Step 1: Compute the Weight Matrix (W) The weight matrix \( W \) for a Hopfield network is computed using the Hebbian learning rule: ______ _____ _________ _______ ____ ________ __________ ________ ________ ________.
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फलन से परिभाषित फलन f का प्रांत और परिसर ज्ञात कीजिए। इस फलन के दो स्तर वक्र भी ज्ञात कीजिए।
- List the elements of the following sets described by rule method:
- A ={n Î N : n is odd prime less than 200}
- B = {x ÎR : x 2 - 9x +18 = 0}
- C ={max{a, b}: a, b are twin primes £ 200}
z = 1 और 2 = x² + y² से परिबद्ध ठोस घनाकृति का द्रव्यमान ज्ञात कीजिए, जबकि घनत्व फलन्, 8(x, y, z) = |x| हो।
अस्पष्ट फलन प्रमेय की सहायता से यह दिखाइए कि 1 के प्रतिवेश में एक ऐसा अवकलनीय फलन g होता है, जिससे कि (2,1) के प्रतिवेश में g (1) = 2 और F(g(y), y) = 0 जहाँ
से फलन F परिभाषित है। g' (y) भी ज्ञात कीजिए।
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