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Here we go again! ✨A new #OBJKT4OBJKT is coming! 5 years after the original one 🎂 April 7-12 Let's celebrate and discover the art from the wonderful tez community 🩶 Everyone can join! 🟨 mint 1 to 5 pieces on April 7 to 12 🟪 large edition or OE...

49,736 Aufrufe • vor 6 Monaten •via X (Twitter)

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[Deep RNN] by Hand ✍️ A Deep Recurrent Neural Network (RNN) extends a basic single-layer RNN into multiple layers of hidden states, effectively incorporating deep learning into the RNN architecture. How does a Deep RNN work? [1] Given ↳ A sequence of four inputs X1, X2, X3, X4 ⬛️ ↳ Recurrent weights and biases for hidden layers a 🟩, b 🟧, c 🟪, and the output layer y 🟦. [2] Initialize Hidden States ↳ Set a0, b0, c0 to zeros — Process X1 (t = 1)— [3] First Hidden Layer (a) 🟩: a0 → a1 ↳ The transformation matrix is horizontal concatenation of input weights, hidden state weights and biases, visualized as [⬛️ | 🟩 | ⬜️] . ↳ The state matrix is vertical concatenation of input X1, previous hidden state a0, and an extra 1, visualized as [⬛️ ; 🟩 ; 1]. ↳ Multiply the two matrices to obtain new hidden state a1 = [0 ; 1]. [4] Second Hidden Layer (b) 🟪: b0 → b1 ↳ First layer a1 🟩 becomes the input. ↳ The transformation matrix is visualized as [🟩 | 🟪 | ⬜️]. ↳ The state matrix is the combination of a1, b0, and 1, visualized as [🟩; 🟪 ; 1]. ↳ Multiply the two matrices to obtain new hidden state b1 = [1; -1]. [5] Third Hidden Layer (c) 🟧: c0 → c1 ↳ Second layer b 🟪 becomes the input. ↳ The transformation matrix is visualized as [🟪 | 🟧 | ⬜️]. ↳ The state matrix is the combination of a1, b0, and 1, visualized as [🟪; 🟧; 1]. ↳ Multiply the two matrices to obtain new hidden state b1 = [1; -1]. [6] Output Layer (Y) 🟦 ↳ The transformation matrix is visualized as [🟧 | ⬜️]. ↳ The state matrix is the combination of c0 and , visualized as [🟧; 1]. ↳ Multiply the two matrices to obtain output Y1 = [3; 0; 3]. — Process X2 (t = 2)— [7] Previous Hidden States ↳ Copy the values of a1, b1, c1. [8] Hidden 🟩🟪🟧 + Output 🟦 ↳ Repeat [3]-[6] to obtain output Y2 = [5; 0; 4] — Process X3 (t = 3)— [9] Previous Hidden States ↳ Copy the values of a2, b2, c2. [10] Hidden 🟩🟪🟧 + Output 🟦 ↳ Repeat [3]-[6] to obtain output Y3 = [13; -1; 9] — Process X4 (t = 4)— [11] Previous Hidden States ↳ Copy the values of a3, b3, c3. [12] Hidden 🟩🟪🟧 + Output 🟦 ↳ Repeat [3]-[6] to obtain output Y4 = [15; 7; 2]

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Disobeying the South African Police Service National Instruction 5 of 2017 is a punishable offence in terms of disciplinary regulations. The new trend of posting pictures and video clips in uniform on various social media platforms, directly contravenes National Instruction 5 of 2017. According to Section 19(10) of National Instruction 5 of 2017 on Media Communication in the South African Police Service, the following rules must be adhered to: No member may, on their own accord, represent the SAPS on social media platforms such as Facebook, Twitter, YouTube, etc., either on their own social media accounts or those belonging to the SAPS. No member may use a profile picture of themselves in uniform or display any police insignia, badges, or logos as their avatar on their private social media accounts. Only with the approval of the Head of Corporate Communication and Liaison may a social media profile be set up for or on behalf of the SAPS on any social network. Accordingly, no station, cluster, unit, or office of the SAPS is permitted to have a social media profile or account without approval. These regulations ensure that all members execute their duties professionally within the confines of the law. Any employee who transgresses in any form or manner will be subjected to the processes of the applicable Disciplinary Regulations. All SAPS members are required to subscribe to the SAPS Code of Conduct and Dress Code and adhere to them when performing their daily duties and interacting with the public. Your efficiency, professionalism, integrity, respect, and empathy are vital to service delivery and the SAPS’s reputation, which in turn influences the community's trust in their police service.

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CLIP: Warrant Officer Mahlatsi attached to Vereeniging POP on his Facebook reel, talking about patrons in Manhattan (a brothel). Disobeying the South African Police Service National Instruction 5 of 2017 is a punishable offence in terms of disciplinary regulations. The new trend of posting pictures and video clips in uniform on various social media platforms, directly contravenes National Instruction 5 of 2017. According to Section 19(10) of National Instruction 5 of 2017 on Media Communication in the South African Police Service, the following rules must be adhered to: No member may, on their own accord, represent the SAPS on social media platforms such as Facebook, Twitter, YouTube, etc., either on their own social media accounts or those belonging to the SAPS. No member may use a profile picture of themselves in uniform or display any police insignia, badges, or logos as their avatar on their private social media accounts. Only with the approval of the Head of Corporate Communication and Liaison may a social media profile be set up for or on behalf of the SAPS on any social network. Accordingly, no station, cluster, unit, or office of the SAPS is permitted to have a social media profile or account without approval. These regulations ensure that all members execute their duties professionally within the confines of the law. Any employee who transgresses in any form or manner will be subjected to the processes of the applicable Disciplinary Regulations. All SAPS members are required to subscribe to the SAPS Code of Conduct and Dress Code and adhere to them when performing their daily duties and interacting with the public. Your efficiency, professionalism, integrity, respect, and empathy are vital to service delivery and the SAPS’s reputation, which in turn influences the community's trust in their police service.

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[DID YOU KNOW] Disobeying the South African Police Service National Instruction 5 of 2017 is a punishable offence in terms of disciplinary regulations. The new trend of posting pictures and video clips in uniform on various social media platforms, directly contravenes National Instruction 5 of 2017. According to Section 19(10) of National Instruction 5 of 2017 on Media Communication in the South African Police Service, the following rules must be adhered to: No member may, on their own accord, represent the SAPS on social media platforms such as Facebook, Twitter, YouTube, etc., either on their own social media accounts or those belonging to the SAPS. No member may use a profile picture of themselves in uniform or display any police insignia, badges, or logos as their avatar on their private social media accounts. Only with the approval of the Head of Corporate Communication and Liaison may a social media profile be set up for or on behalf of the SAPS on any social network. Accordingly, no station, cluster, unit, or office of the SAPS is permitted to have a social media profile or account without approval. These regulations ensure that all members execute their duties professionally within the confines of the law. Any employee who transgresses in any form or manner will be subjected to the processes of the applicable Disciplinary Regulations. All SAPS members are required to subscribe to the SAPS Code of Conduct and Dress Code and adhere to them when performing their daily duties and interacting with the public. Your efficiency, professionalism, integrity, respect, and empathy are vital to service delivery and the SAPS’s reputation, which in turn influences the community's trust in their police service.

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The Fibonacci sequence has a hidden rhythm. Take any number say, 7. Write out the Fibonacci numbers (0, 1, 1, 2, 3, 5, 8...) and look at the remainders when you divide by 7. You get: 0, 1, 1, 2, 3, 5, 1, 6... Keep going, and the pattern eventually repeats. The length of that repeating cycle is called the Pisano period. For most numbers, this cycle length is pretty unpredictable. But we proved something precise. If you ask "when does the cycle length equal exactly twice the number?" The answer is an infinite tower. 12, 60, 300, 1500, 7500...just keep multiplying by 5. But if you change the question slightly "when does the cycle length equal twice the square root?" there is exactly ONE answer. 144. Same skeleton. Two completely different outcomes. The culprit? The prime number 5 ,which has a weird superpower in Fibonacci land. it's the only prime that divides its own cycle length. In one equation it fits perfectly and builds an infinite tower. In the other, it overflows and gets kicked out leaving 144 all alone. Fun fact. 144 is also the only perfect square (besides 0 and 1) that appears anywhere in the entire Fibonacci sequence. Two totally different math questions from two totally different fields converging on the exact same number. The animation spins through the golden spiral, forges the 12-skeleton, ignites the self-supplying 5, then splits into two fates, 144 on the left, the infinite tower on the right. The Pisano Doubling Equations π(m) = 2m and π(m2 ) = 2m: One Skeleton, Two Fates The Prime Lattice Coherence Framework: A Unified Master Document

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