- #1
Math100
- 768
- 219
- Homework Statement
- Determine the day of the week on which you were born.
- Relevant Equations
- None.
The date with month ## m ##, day ## d ##, year ## Y=100c+y ## where ## c\geq 16 ## and ## 0\leq y<100 ##, has weekday number
## w\equiv d+[(2.6)m-0.2]-2c+y+[\frac{c}{4}]+[\frac{y}{4}]\pmod {7} ## provided that March is taken as the first month of the year and January and February are assumed to be the eleventh and twelfth months of the previous year.
To determine the day of the week on which I was born, I will use my birthday as an example.
## w\equiv 31+[(2.6)(8)-0.2]-2c+y+[\frac{c}{4}]+[\frac{y}{4}]\pmod {7} ##
## w\equiv d+[(2.6)m-0.2]-2c+y+[\frac{c}{4}]+[\frac{y}{4}]\pmod {7} ## provided that March is taken as the first month of the year and January and February are assumed to be the eleventh and twelfth months of the previous year.
To determine the day of the week on which I was born, I will use my birthday as an example.
## w\equiv 31+[(2.6)(8)-0.2]-2c+y+[\frac{c}{4}]+[\frac{y}{4}]\pmod {7} ##