Mathematically i proved it, it has an r for radius, if you can not read that mathematically or you refuse to accept it well that is not my problem.
I have to concur with Latenlazy that you have not proven anything mathematically. Furthermore, the presence of radius in the equation not prove that the shape is required to be circular. Firstly, radius is a dimension and does not describe the shape. Your insistence otherwise is like claiming measurement of width makes the object being measured a rectangle. For example, measuring the width of an aircraft doesn't turn the aircraft into rectangle. Secondly, a circle means there is a measurement of radius, but the is not true. Radius is often used to define the points in a geometry with respect to the center, such as the tip of a pentagon.
The Sears-Haack area distribution graph in fact has diameter fixed values, this detail shows that mathematically speaking a diameter only exist as a result of a radius.
Click to see and see the graph says Radius and values 1 to .0
Nope. The vertical axis can represent values other than radius. The following graphs only use areas for the vertical axis.
What matters is the enclosed area of the shape. Area is independent of shape, so the Sears-Haack area distribution is also independent of shape.
Since aircraft have more requirements than JDAMs or ICBM they also sacrifice the ideal shape by adding canopies, wings, intakes.
J-20 has sacrificed more the Sears-haack ideal shape for the sake of stealth.
YF-22 had even more stealthy lines than the operational F-22, but they decided to go back a bit to Von Karman ogive in the radome, X-35 had a flatter underbelly, more stealthy from some angles, but the series F-35 has rounded lines more in line with the sears-hack body streamlining even more the series F-35, but forcing some sacrifices in stealth.
Now let us move on an wait when they unvail the 2003 J-20 regards
Nope. Paying lip services to aerodynamic terms does not show your understanding of these terms. The way you have applied these terms show you have no idea what they are about. If you were to write the above nonsense in an University exam, you would be flunked.
Firstly, the application of Von Kármán Oglive is in the side profile of the radome, describing the curve from the tip to the base. It is not about cross section. Whether the radome is round or faceted is of little relevance. Secondly, the F-35 incorporates bulges because there wasn't enough internal space for certain systems. In fact, adding bulges will result in a worse match to Sears-Haack body, because it causes the cross-sectional area distribution to be non-optimal.
Application of Sears-Haack body is not about adding curves to external contour, as the actual shape is irrelevant. It is the cross-sectional area distribution, not the contour, that matters in the application of Sears-Haack body. As such, a stealthy airframe is not mutually exclusive with a Sears-Haack body. A rounded body does not automatically make it a Sears-Haack body either. Allow me to quote it to you again:
The area rule says that an airplane designed with the same cross-sectional area distribution in the longitudinal direction as the Sears-Haack body generates the same wave drag as this body, largely independent of the actual shape.