- #1
Ed Quanta
- 296
- 0
What does x=pmodn mean where x,p,are integers and n is a natural number?
Understanding x=pmodn: An Integer Modular Arithmetic Primer
- Thread starter Ed Quanta
- Start date
-
- Tags
- Arithmetic Integer
Click For Summary
The expression x ≡ p (mod n) indicates that x is congruent to p modulo n, meaning that when x is divided by n, it leaves a remainder of p. This relationship holds true under the condition that p is less than n, which is the typical scenario in modular arithmetic. More broadly, it signifies that the difference x - p is divisible by n. Understanding this concept is crucial for applications in number theory and cryptography. The discussion emphasizes the importance of the congruence notation in expressing these relationships clearly.
Hello!
In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way:
I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true?
And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...