The parabola y= x^2+9 has two tangents which pass through the point (0,-4). One is tangent to the parabola at (a, a^2+9) and the other at (-a, a^2+9) where a is a certain positive number. The question: a=?
How do I figure out the addition and multiplication tables for: Z mod 2 [x] / (x^2) ?
Coding Theory : How do I compute the addition and multiplication tables for Z mod 2 [x] / (1+x^2)?
How do I compute the addition and multiplication tables for: Z mod 2 [x] / (1+x^2)? z mod 2 [x] = 1 z mod 2 [x] = 0 z mod 2 [x] = 1+x z mod 2 [x] = 1+ x + x^2 I think that 1+ x^2 = 0 so x^2 = -1. Thats as far as I got.
I need help with writing a program that will generate message words (in 0's and 1's) and then compute the code words (in 0's and 1's). Ex: Generating Matrix for the (3,4) Parity check code: 100 1 010 1 001 1 derived from using the identity matrix and then solving for x,y,z in the 4th column Message words Code w ...continues
Applications of Linear Equations : A Quick Setting Grout
A quick setting grout made from a mixture of cement/sandwater and an additive is needed for a tunnelling project Two trial mixes have been made with the following combinations of grout and additive. 5 litres of sand/cement/water + 1 litre of additive =6 liter of grout mass=12.487kg 5 liters of sand/cement/water =1.5lit ...continues
Coding Theory Program -------------------------------------------------------------------------------- I have attached the specifications --> Program2.doc. I need it written in Java. I have also attached --> Program 2 Defined This will help with understanding the program. The words must be generated using matrix mult ...continues
Abstract Algebra (4 year College)
I had to prove 4 theorems two of them dealt with Abelian elements, automorphism of R2 under compontentwise addition. I want to keep my original work in tack as possble BUT I would like the follwing corrections made based on the following comments. THESE ARE THE ISSUES THAT NEED TO BE ADDRESSED The paper needs to provide ...continues
1) How do I show x+1 is primitive? 2) How do I prove x^4+x^3+1 is an irreducible polynomial of degree 4 over Z mod?
Boolean Algebra : Gates, Truth Tables and Logic Operations
(See attached file for full problem description) --- For question #1, just use the example to show how to solve a problem like it is. 1. Gates Implement the 1 bit full adder using only: 1. 2 input NAND gates 2. 2 input NOR gates. 2. Boolean Functions Using the laws of Boolean algebra, minimize the number of opera ...continues
1. ALU Design a 1-bit ALU that can perform add, AND, XOR and NOT operations. 2. Decoders Design a 4-to-16 decoder using 2-to-4 decoders. 3. Comparators Design 4-bit comparators that would evaluate the following single relations: (a) X>Y (b) X~ Y 4. Multiplexers Build a 16-to-1 multiplexer using only: • 4-to- ...continues