Un dimanche après-midi à la Grande Jatte
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
Georges Seurat, , 2022, scan, Wikipedia
<Wikipedia> (retrieved on March 03, 2024)
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Exercise:
In the paing Un dimanche après-midi à la Grande Jatte French artist Georges Seurat applied coloured dots with a typical distance of sO. Asing a diameter of dO for the pupil calculate the minimum distance from the paing for red dots lambdalaO to be seen as a contiguous area. How would the result be different with more light?
Solution:
The angle defined by two neighbouring dots is given by tanalpha fracsell where s is the distance between the dots and ell the distance between the observer's eye and the paing. vspacemm Using Rayleigh's criterium and the small angle approximation tanalphaapproxsinalpha we find fracsell &approx z_fraclambdad It follows for the distance to the image ell &approx lF fracstimesdztimesla l approx resultlP Under brigther conditions the pupil diameter d would be smaller and the minimum distance ell would also be smaller ellvarpropto d.
In the paing Un dimanche après-midi à la Grande Jatte French artist Georges Seurat applied coloured dots with a typical distance of sO. Asing a diameter of dO for the pupil calculate the minimum distance from the paing for red dots lambdalaO to be seen as a contiguous area. How would the result be different with more light?
Solution:
The angle defined by two neighbouring dots is given by tanalpha fracsell where s is the distance between the dots and ell the distance between the observer's eye and the paing. vspacemm Using Rayleigh's criterium and the small angle approximation tanalphaapproxsinalpha we find fracsell &approx z_fraclambdad It follows for the distance to the image ell &approx lF fracstimesdztimesla l approx resultlP Under brigther conditions the pupil diameter d would be smaller and the minimum distance ell would also be smaller ellvarpropto d.
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Exercise:
In the paing Un dimanche après-midi à la Grande Jatte French artist Georges Seurat applied coloured dots with a typical distance of sO. Asing a diameter of dO for the pupil calculate the minimum distance from the paing for red dots lambdalaO to be seen as a contiguous area. How would the result be different with more light?
Solution:
The angle defined by two neighbouring dots is given by tanalpha fracsell where s is the distance between the dots and ell the distance between the observer's eye and the paing. vspacemm Using Rayleigh's criterium and the small angle approximation tanalphaapproxsinalpha we find fracsell &approx z_fraclambdad It follows for the distance to the image ell &approx lF fracstimesdztimesla l approx resultlP Under brigther conditions the pupil diameter d would be smaller and the minimum distance ell would also be smaller ellvarpropto d.
In the paing Un dimanche après-midi à la Grande Jatte French artist Georges Seurat applied coloured dots with a typical distance of sO. Asing a diameter of dO for the pupil calculate the minimum distance from the paing for red dots lambdalaO to be seen as a contiguous area. How would the result be different with more light?
Solution:
The angle defined by two neighbouring dots is given by tanalpha fracsell where s is the distance between the dots and ell the distance between the observer's eye and the paing. vspacemm Using Rayleigh's criterium and the small angle approximation tanalphaapproxsinalpha we find fracsell &approx z_fraclambdad It follows for the distance to the image ell &approx lF fracstimesdztimesla l approx resultlP Under brigther conditions the pupil diameter d would be smaller and the minimum distance ell would also be smaller ellvarpropto d.
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