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Steering Ratio Calculation
The steering ratio defines the relationship between steering wheel angle and road wheel angle. Given wheel angle δ and Steering...
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Electric Power Steering (EPS) Assist Curve Calculation
Electric Power Steering (EPS) provides assist torque proportional to driver input. Given Steering torque Ts and Gain k, Compute...
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Tire Slip Angle Calculation
Slip angle represents the angle between the direction a tire is pointing and the direction it is moving. Given Lateral velocity...
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Steering Torque Estimation
Steering torque is generated due to lateral tire forces acting through the steering mechanism. Given Lateral force Fy and Lever...
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Electric Power Steering (EPS) Motor Torque with Efficiency
In EPS systems, the motor must generate additional torque to compensate for system losses. Given Required assist torque at rack...
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Understeer or Oversteer Gradient Calculation
This gradient determines whether a vehicle tends to understeer or oversteer. Given Mass m, Wheelbase L, Front cornering stiffne...
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EPS Assist Map with respect to the Vehicle Speed
In Electric Power Steering (EPS), assist torque reduces as vehicle speed increases to improve stability at high speeds. Given S...
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Yaw rate of the vehicle
Yaw rate defines how quickly a vehicle rotates about its vertical axis during motion. Given Vehicle speed v and Turning radius ...
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Turning radius of a vehicle
The turning radius represents the radius of the circular path followed by a vehicle. Given Wheelbase L and Steering angle δ, Co...
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Steering 101-Ackermann Steering Ratio
In a turning vehicle, inner and outer wheels follow different radii. Ackermann steering geometry ensures both wheels roll withou...
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Upper vs Lower Triangle
Create an n × n matrix A such that: Elements strictly above the main diagonal are 1 Elements strictly below the main diagonal ...
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Center-of-Mass Index of a Vector
Given a numeric vector x, treat each element x(i) as a mass located at index i. Compute the center-of-mass index idx = sum(i *...
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First Unique Character
Given a character vector s, return the first character that appears exactly once in s. If every character repeats at least once...
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Odd Run Sums
Given a row vector x of integers, find every maximal run of consecutive odd numbers and return a row vector containing the sum o...
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Mirror Pair Mean
Given a row or column vector v, create a vector y of the same size where each element is replaced by the average of itself and i...
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The Singularity - Event Horizon (Absolute Zero)
Inspired by Problem61291 Mô tả: Bầy đàn gồm M agents phải di chuyển xuyên qua không gian 5D Hyper-Torus ( kích thước mỗi chiều...
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Robust Corner Product with Special Value Handling in Arrays
Compute the product of the corner elements of an array (vector or matrix). If any corner element is NaN, return NaN. If any co...
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AES-256 CTR mode Image Encryption/Decryption
AES-256 CTR (counting) mode Image Encryption/Decryption. Uses java library for encryption and decryption.
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Decode an Encrypted AES image using CTR (counter mode) with no padding
Given an encoded AES image using CTR mode with no padding, the Initialization Vector (IV) (32 byte in uint8), and the AESkey (25...
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Decode an Encrypted AES image using CTR (counter mode) with no padding
Given an encoded AES image using CTR mode with no padding, the Initialization Vector (IV) (32 byte in uint8), and the AESkey (25...
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Decode Message using AES with Cipher Block Chaining (CBC) and PKCS#5 padding
Provided an encrypted message using AES CBC mode with PKCS#5 padding, an encrypted AES key in the form of an audio .wav file tha...
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Decode Message using AES with Cipher Block Chaining (CBC) and PKCS#5 padding
Provided an encrypted message using AES CBC mode with PKCS#5 padding, an encrypted AES key in the form of an audio .wav file tha...
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Problem: Battery State Estimation with Temperature Effect
In a Battery Management System (BMS), the usable capacity of a battery decreases when operating at extreme temperatures. The ef...
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Robust Corner Sum with Special Value Handling in Arrays
Compute the sum of the corner elements of an array (vector or matrix). If any corner element is NaN, return NaN. If any corner...
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EXODUS - THE VOID SINGULARITY ( PHASE OMEGA-ZERO )
Background: The Swarm has reached the edge of the known universe, entering the 5th Dimension (The Void). Here, Euclidean geomet...
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The Singularity: Omega Pulse ( Neural Dominance )
Abstract In the final phase of Omega experiment, you no longer control a single signal. You are tasked with commanding a Quantu...
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The Genesis Sypnapse Protocol
Ⅰ.Context In a synthetic bio-neural network, information is transmitted between neurons through chemical and electrical signal...
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The Omega Protocol: Hyper-dimensional Navigation and the Singularity Constraint
Description [EMERGENCY TRANSMISSION - GALACTIC COMMAND] Subject: Mission Omega-7 - Navigation through the K-94 Tesseract Anoma...
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Project Aether: Non-Linear Temporal Flow Optimization
Ⅰ. Description In the year 2450, you are the Chief Architect of the Neo-Elysium defense grid. You must manage energy distributi...
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The Heisenberg Entanglement Protocol
Abstract: A quantum signal must be routed through nodes. The cost of transmission is not purely geometric but depends on the p...
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