Radius Description
Michele Firmasyah
In classical geometry, a radius (pl.: radii or radiuses)[a] of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel.[2] The typical abbreviation and mathematical variable name for radius is R or r. By extension, the diameter D is defined as twice the radius:[3]
If an object does not have a center, the term may refer to its circumradius, the radius of its circumscribed circle or circumscribed sphere. In either case, the radius may be more than half the diameter, which is usually defined as the maximum distance between any two points of the figure. The inradius of a geometric figure is usually the radius of the largest circle or sphere contained in it. The inner radius of a ring, tube or other hollow object is the radius of its cavity.
For regular polygons, the radius is the same as its circumradius.[4] The inradius of a regular polygon is also called apothem. In graph theory, the radius of a graph is the minimum over all vertices u of the maximum distance from u to any other vertex of the graph.[5]
In the cylindrical coordinate system, there is a chosen reference axis and a chosen reference plane perpendicular to that axis. The origin of the system is the point where all three coordinates can be given as zero. This is the intersection between the reference plane and the axis.
The axis is variously called the cylindrical or longitudinal axis, to differentiate it fromthe polar axis, which is the ray that lies in the reference plane, starting at the origin and pointing in the reference direction.
The distance from the axis may be called the radial distance or radius, while the angular coordinate is sometimes referred to as the angular position or as the azimuth.The radius and the azimuth are together called the polar coordinates, as they correspond to a two-dimensional polar coordinate system in the plane through the point, parallel to the reference plane.The third coordinate may be called the height or altitude (if the reference plane is considered horizontal), longitudinal position,[7] or axial position.[8]
In a spherical coordinate system, the radius describes the distance of a point from a fixed origin. Its position if further defined by the polar angle measured between the radial direction and a fixed zenith direction, and the azimuth angle, the angle between the orthogonal projection of the radial direction on a reference plane that passes through the origin and is orthogonal to the zenith, and a fixed reference direction in that plane.
Not sure if there is a NAD config that would send the interface description, but have you tried interpreting the NAS-Port attribute, using attribute nas-port format in IOS to give you interface naming? Your mileage may vary based on what IOS you're using, and what port type you're using. But worth testing in the lab if you can.
I have a rule that allows the application radius but is isn't matching my radius traffic. The problem is that my radius traffic isn't on a default port udp/1814. With service set to "application-default" the traffic is identified as radius but is denied. Sure I can change the service to "any", but what I would really like to do is define a new application for radius that defaults to port udp/1814. I've defined a new application "radius-1814"; set the port; set the parent application to radius. The firewall never matches application radius-1814, only application radius.
The way that you have it configured currently you wouldn't expect it to work; the firewall doesn't have any signatures associated with your new application, and therefore is unable to automatically identify the traffic. You'll need to look at creating an application-signature for the traffic that'll actually match the new application, or configure an application-override entry and override the traffic to your custom application.
That makes sense. I'm missing the signature. Because creating signatures for radius is a bit beyond my skillset at this time, I changed my policy to use the radius application then in services, instead of "application-default" or "any", I used "select" and specified my custom radius port. This is working for me.
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Surgical treatment of distal radius fractures with palmar plates has gained popularity as the preferred approach to achieve anatomical fracture reposition. One hundred and thirty four radii of human cadavers were examined to elucidate the anatomy of the distal radius, especially the transition of the anterior into the lateral surface and a new term was given: promontory of radius. The promontory was located on the lateral surface between the changing of the convex to the concave curvature and the base of the styloid process. The anterior surface increased gradually from the ulnar notch to the lateral surface and formed the "base" of the promontory. The length of the promontory on the lateral surface measured 14-28 mm (mean 20.766 mm, SD 2.69 mm). The width of the promontory was found in between 10 and 27 mm (mean 13.857 mm, SD 2.14 mm). The width of the distal radius was 16-38 mm (mean 31.015 mm, SD 3.26 mm) and did not show any statistical correlation to the promontory. On the anterior surface the minimal width of promontory measured 4.9 mm, the maximal one 17.9 mm (mean 8.95 mm, SD 3.60). The height of the promontory on the anterior surface ranged in between 1.2 and 4.3 mm (mean 2.90 mm, SD 1.05 mm). The promontory of radius must be kept in mind to avoid any dorsal dislocation of the radial fragment often described as complication of intraarticular fractures. Based on this anatomical survey the data can be used for a new palmar radius plate designs.
A circle can be defined as the locus of a point moving in a plane, in such a manner that its distance from a fixed point is always constant. The fixed point is known as the center of the circle and distance between any point on the circle and its center is called the radius of a circle.
We have already discussed radius and diameter of circle. Now suppose, there is a line and a Circle given on a plane. The line could touch circle at one point, or intersect at two points or it could be non-intersecting.
Theoretical relationships between the reflection function at 0.55 and 2.2 μm for various values of τ (λ = 0.55 μm) and re for solar zenith angles directly overhead. See text for model description.
Optical depth between zt, cloud top, and z, where the downward solar radiation in the near-infrared channel is reduced by an exponential factor, against total optical depth τ for entire cloud for vertically homogeneous clouds with different re.
Profiles of re (thin lines), denoted re a through re c, and β (thick lines), denoted τ a through τ d (top panel) and τ e through τ g (bottom panel), for sample clouds used to investigate the effect of vertical inhomogeneities on retrieval algorithms. All clouds are 2 km thick and have the same total optical depth. Multiplication by a constant gives clouds with different τ.
re at that level in the cloud where integrating from zt gives 36.21% of the penetrated optical depth against re that would be retrieved using the 2.2- and 0.55-μm channels from a cloud with the same total optical depth. Only cases where the near-infrared radiation is attenuated by at least an exponential factor by the entire cloud depth are shown (345 cases).
Profiles of IWC and re for eight clouds sampled with rapid ascents or descents of the WB57 aircraft in the mid-1970s near Kwajalein, Marshall Islands. Day of flight and leg number indicated in parenthesis. Penetrated optical depth (τp), retrieved effective radius (re ret), and mean effective radius calculated by Eq. (11) shown.
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