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Shifting vertically a function's graph
Given a real function, f, by n input-output pairs, consider a translation in the up-down direction given by an amount k. For a ...

8 months ago

Solved

Spiral Mandala
Generate a clockwise spiral pattern using 1s in an N×N matrix to create an intricate mandala effect. e.g. N = 5; y_correct...

8 months ago

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Starburst Mandala
Create a mandala starburst using diagonal and orthogonal symmetry in a matrix.

8 months ago

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Hourglass Mandala
Generate an hourglass shape using matrix geometry and symmetry. e.g. N = 5; 1 1 1 1 1; 0 1 1 1 0; ...

8 months ago

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Vertical Mirror Mandala
Create a symmetric left-right mirrored pattern in an N×N matrix to emulate mandala reflection symmetry. e.g. N = 5; ...

8 months ago

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Plus Cross Mandala
Create a symmetrical plus (+) shaped pattern centered in an N×N matrix.

8 months ago

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Diagonal Cross Mandala
Generate an N×N matrix with diagonals highlighted to form an artistic X-shaped mandala pattern. e.g. N = 5; 1 0 0...

8 months ago

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Concentric Squares Mandala
Generate concentric square rings of alternating 1s and 0s to form a layered mandala-style matrix. e.g. N = 5; 1 1 1 1 1;...

8 months ago

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Circular Ring Approximation Mandala
Generate a matrix that approximates a circular ring using distance-based thresholding , a visually rich mandala-inspired challen...

8 months ago

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Hollow Diamond Pattern
Create an N×N matrix that forms a hollow diamond shape using 1s, leaving the interior empty. This challenge emphasizes boundary ...

8 months ago

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Filled Diamond Pattern
Create an N×N binary matrix that forms a filled diamond shape centered in the matrix. The diamond expands symmetrically toward t...

8 months ago

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Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...

8 months ago

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Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...

8 months ago

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Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...

8 months ago

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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...

8 months ago

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Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...

8 months ago

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Estimate dynamic load transfer to front axle during braking.
During braking, load shifts from the rear axle to the front axle. Given mass, deceleration, center of gravity height, and wheelb...

8 months ago

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Estimate brake line pressure required for a given force.
Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydrau...

8 months ago

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Compute the required brake torque at wheel to stop the car
Brake torque defines how effectively braking force translates into wheel deceleration. Given braking force and wheel radius, det...

8 months ago

Solved

Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.

8 months ago

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Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)

8 months ago

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Slicing a 4-pointed star polygon
Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h ...

10 months ago

Solved

Covering a 4-pointed star polygon by a circle sector
Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h ...

10 months ago

Solved

Covering a four-pointed star polygon by circles
Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their...

10 months ago

Solved

Covering a four-pointed star polygon by rectangles
Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their...

10 months ago

Solved

Covering rectangle area of a four-pointed star polygon
Given the four-pointed star polygon formed by the rectangle, with dimensions l1xl2, and four triangles, with height, h, from the...

10 months ago

Solved

Height of a four-pointed star polygon
Given the area A, of a rectangle with dimensions l1xl2, where the side lengths are integers and form the smallest possible perim...

10 months ago

Solved

Generalizing square area to triangle area
Cody Problem 61070 asked for the height, h, of a right triangle that had the same area, A, of a square with side length, c, and ...

10 months ago

Solved

Square area to triangle area
Given the area, A, of a square with side length, c, if a right angle triangle has the same area A and the hypothenuse length 2c ...

10 months ago

Solved

The Five Infection (Boss Level)
Given a 3x3 matrix A, replace: every value that is equal to five every value that is directly adjacent to a five with zero in...

10 months ago