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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...

10 Tage vor

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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...

10 Tage vor

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Swept Volume and Clearance Volume
The swept volume (V_s) is the volume displaced by the piston as it travels from BDC (Bottom Dead Centre) to TDC (Top Dead Centre...

10 Tage vor

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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...

10 Tage vor

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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...

10 Tage vor

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Brake Mean Effective Pressure (BMEP)
BMEP is a normalised measure of engine work output per cycle per unit displacement. It lets you compare engines of different siz...

10 Tage vor

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Find Unallocated Requirements
During system development, requirements are allocated to system elements such as sensors, controllers, actuators, or software co...

10 Tage vor

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Calculate Architecture Option Score
System architects often compare multiple architecture candidates against several evaluation criteria. Given a matrix containing...

10 Tage vor

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Engine Thermal Efficiency
The thermal efficiency of an ideal Otto cycle engine depends only on the compression ratio. A higher compression ratio yields gr...

10 Tage vor

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Calculate Requirement Margin
Engineering requirements often specify a limit, while the actual system performance may be better or worse than that limit. Giv...

10 Tage vor

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Check Requirement Compliance
A system requirement specifies a maximum allowable value for a system parameter.Given a set of measured values and the correspon...

10 Tage vor

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Ridge regularized linear regression
Given a predictor data matrix of size , target variable vector of size and a shrinkage factor (scalar) (ridge regularization...

10 Tage vor

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Matrix Diagonal Sum
Given a square matrix A of size n x n, write a function to compute the sum of the elements on both the main diagonal and the ant...

10 Tage vor

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Unique: Faster 'rows' for large array of uint8
Challenge: Execute unique(a,'rows') Faster for 'a' being uint8. The "unique" function for the 'rows' options may be performe...

10 Tage vor

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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 Tage vor

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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 Tage vor

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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 ...

10 Tage vor

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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 Tage vor

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Neural Nets: Activation functions
Return values of selected Activation function type for value,vector, and matrices. y=Activation(x,id); where id is 1:4 for ReLU...

10 Tage vor

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Calculate integrals using numerical methods 3.
Now let's compare the 2 previous rules. Using the "Simpson 1/3" rule and the trapezoidal rule, NOT THE SIMPLE ONES, calculate th...

10 Tage vor

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Calculate integrals using numerical methods 2.
Calculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule: The llimits(a,b) of the integral will be gi...

10 Tage vor

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Calculate integrals using numerical methods 1.
Calculate the following intergral using the SIMPLE "Simpson 1/3" rule: Further explanation: a is the upper limit of the inte...

10 Tage vor

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Geometry time 6!(Extremely hard)
We have two circles. One small(C1) that is inside a bigger one (C2). C1 has a radius R1 and C2 has a radius R2. C1 is internally...

10 Tage vor

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Geometry time 5! (Hard)
In the following shape you are requested to find the radius of the circle(r): Further explanation: 1) ABCD and pink shape are...

10 Tage vor

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Swap the column given with another one!
We have a random sized matrix A. You have to change the nth column with the kth column. The result must be a matrix B. For exam...

10 Tage vor

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Test your geometry knowledge!(simple)
We have the following shape and you need to: 1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degree...

10 Tage vor

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Geometry time 4!(Medium to hard)
Given the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given. Further explan...

10 Tage vor

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Not yet geometry(square, rectangle and trapezium)
Type the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of...

10 Tage vor

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Gometry time2!(easy to medium)
Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the...

10 Tage vor

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Gear ratio of a gear pair
Let's assume that we have a pair of two gears(pinion-bigger gear). The goal is to calculate the gear ratio(i) given the number (...

10 Tage vor