By Antoine Ouellette
En novembre 2007, l’écrivain et compositeur Antoine Ouellette est dia-gnostiqué Asperger, un syndrome appartenant au spectre autistique.
L’auteur témoigne ici de son expérience et offre une visite guidée du monde autiste. Il souhaite aussi informer et sensibiliser sur un sujet tabou, l. a. « folie », afin de donner un message d’espoir aux personnes marginales et marginalisées de notre société.
Les autistes fascinent, troublent et dérangent. Victimes de préjugés (non, l’autisme n’est pas une déficience intellectuelle), d’intimidation dans les écoles, de discrimination dans l. a. vie adulte : on voudrait tant les guérir de qui ils sont! Mais qu’est-ce vraiment que l’autisme et le syndrome d’Asperger ? remark cela se vit-il au quotidien ? Quelles sont les faiblesses et aussi les forces de l’autisme ? remark un autiste peut-il s’exprimer en art ? l. a. technological know-how begin à réaliser que l’autisme serait non une maladie mais une autre forme d’intelligence, porteuse d’une tradition et de valeurs différentes. Leur nombre étant en augmentation, les autistes pourraient représenter l’amorce d’un changement évolutif dans l’histoire humaine. Encore faudrait-il que l’acceptation soit au rendez-vous.
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The first step is to differentiate φm (θ) to find its local maxima and minima. We concentrate on the interval 0 ≤ θ ≤ π, since φm (2π − θ) = 7Josiah Willard Gibbs described this phenomenon in a series of letters to Nature in 1898 in correspondence with A. E. H. Love. He seems to have been unaware of the previous treatment of the subject by Henry Wilbraham in his article On a certain periodic function, Cambridge & Dublin Math. J. 3 (1848), 198–201. 5. THE GIBBS PHENOMENON −φm (θ). 8). So the zeros of φ′m (θ) occur at θ = (2k+1)π m+1 m−1 8 2kπ θ = m , 0 ≤ k ≤ ⌊ 2 ⌋.
Instead, the series is converging to a value which is equal to the average of the higher and the lower values of the function. 5. Finally, there is a very interesting phenomenon which is happening right near the discontinuity. There is an overshoot, which never seems to get any smaller. Does this mean that the series is not converging properly? Well, not quite. At each given value of θ, the series is converging just fine. It’s just when we look at values of θ closer and closer to the discontinuity that we find problems.
An argument similar to the above shows that the value at the kth critical point kπ of φm (θ) tends to 0 sinθ θ dθ as m tends to infinity. 9028233. 8588% of the size of the discontinuity. The Gibbs phenomenon can be interpreted in terms of the response of an amplifier as follows. No matter how good your amplifier is, if you feed it a square wave, the output will overshoot at the discontinuity by roughly 9%. This is because any amplifier has a frequency beyond which it does not respond. Improving the amplifier can only increase this frequency, but cannot get rid of the limitation altogether.