By Ynging Lee, Al Nungwang, Derchyi Wu
We turn out a bridge precept for harmonic maps among normal manifolds.
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Additional info for A Bridge Principle for Harmonic Maps
On top of the character generators are functions that take string input. Two port pins are used: one for the video level and one for the sync level. The output logic levels are converted to video levels and impedance using three resistors and two diodes (see Figure 2). Including the diodes made it easier to figure out the values of the resistors. APPLICATIONS After the sync generation and pixel blasting is done, the Mega163 still has some cycles leftover. On lines that don’t display the image (lines 231 to 262), the CPU is used for about 7 µs for sync generation; the rest of the 63 µs is available for general computation.
Because the microcontroller is directly driving the TV, timing errors show up as a degraded image, giving the students rapid, understandable feedback. The Atmel AVR Mega163 has just enough memory and speed to generate a black and white video signal. The implementation broke down into three parts: sync generation, image display, and image content generation. All three parts ran on a single Mega163. For ease of teaching, I wanted as much of the code as possible to be in C, with little or no assembler.
Finally, an actual ALU chip! POWER THE CHIP The next step is to test the ALU on the chip. First, the DIP switches for the inputs must be connected to the S, A, and B input signals. Because the switches are on the board, the jumper wires are connected to the appropriate pins on the chip according to the floor plan. The output signal F is connected to four LEDs. By setting the DIP switches for the input operands A and B and the operation select S, it’s easy to see the result of the operation from the four LEDs.
A Bridge Principle for Harmonic Maps by Ynging Lee, Al Nungwang, Derchyi Wu