Amazing Properties of Fractal Figures

Some Amazing Properties of Spherical Nilpotent Orbits

Let G be a simple algebraic group defined over an algebraically closed field k of characteristic zero. Write g for its Lie algebra. Let x ∈ g be a nilpotent element and G·x ⊂ g the corresponding nilpotent orbit. The maximal number m such that (adx) 6= 0 is called the height of x or of G·x, denoted ht(x). Recall that an irreducible G-variety X is called G-spherical if a Borel subgroup of G has a...

Transmission properties of one dimensional fractal structures

In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...

Some Amazing Properties of Road Traffic Network Equilibria

control of the optical properties of nanoparticles by laser fields

در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...

Judging spatial properties of simple figures

Discrimination was measured for height, area, and aspect ratio of ovals and rectangles. Random jittering of the orthogonal property (width, aspect ratio, and area) was used to control the observers' criterion. Weber fractions for aspect ratio were consistently lower than those for area, and about the same as those for height. Performance with ovals and rectangles did not differ significantly. T...