Tugas

 4.10 TENSION SPLINES Splines are a wonderful tool for approximation, but they can still exhibit some poor behavior. Consider the data set plotted in Fig. 4.25. Obviously, this represents a function with a severe jump near x — 0.5, but there is no sign of oscillatory behavior. However, a B-spline representation of this data (Fig. 4.26) shows small wiggles on either side of a sharp front. This is fundamentally an artifact of the steep gradient in the data, but in other contexts a spline fit can display behavior that does not match the "sense" of the data. One way to avoid the problem is the notion of a taut spline or tension spline, an idea that appears to have been first published by Schweikert [17], but which also owes a lot to the work of A. K. Cline [4]; we relied heavily on a short paper of Marusic and Rogina [12] in our presentation here. Imagine that the curve in Fig 4.26 is a piece of string that is constrained to pass through small loops at the data points. If we were...

 4.10 TENSION SPLINES Splines are a wonderful tool for approximation, but they can still exhibit some poor behavior. Consider the data set plotted in Fig. 4.25. Obviously, this represents a function with a severe jump near x — 0.5, but there is no sign of oscillatory behavior. However, a B-spline representation of this data (Fig. 4.26) shows small wiggles on either side of a sharp front. This is fundamentally an artifact of the steep gradient in the data, but in other contexts a spline fit can display behavior that does not match the "sense" of the data. One way to avoid the problem is the notion of a taut spline or tension spline, an idea that appears to have been first published by Schweikert [17], but which also owes a lot to the work of A. K. Cline [4]; we relied heavily on a short paper of Marusic and Rogina [12] in our presentation here. Imagine that the curve in Fig 4.26 is a piece of string that is constrained to pass through small loops at the data points. If we were...

The problem is the medium used was based on information technology are like GeoGebra, flash, or PowerPoint. The weakness of information technology-based media such as a learning tool in the classroom to support the availability of devices such as computers, LCD, and projector. Based on this, the print instructional media would still be required for students who are in school with the support of information technology is still minimal. One example of the print media that can be used in mathematics is comic. Comics are learning media teaching materials pictorial form. Additionally selected comics as a medium of learning for the comic's mathematics learning during formal expected to close in the lives of learners so that learners become interested in reading and studying the mathematical concepts that are abstract.