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Let Z be the set of real integers and R the set of real numbers. The sampling process may be viewed as partitioning the x-y plane into a grid, with the central coordinates of each grid being from the Cartesian product Z2, that is a set of all ordered pairs (zi, zj), with zi and zj being integers from Z. Then, f(x, y) is a digital image if (x, y) are integers from Z2 and f is a function that assigns a gray-level value (that is, a real number from the set R) to each distinct coordinate pair (x, y). What happens to the digital image if the gray levels also are integers?
A, B, C, D and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 4. D is the greatest and A is the least. B is greater than E but less than C. The sum of the integers is equal to E. What is the positive difference between the lowest and the highest integers?
The average of 4 positive integers is 59. The highest integer is 83 and the lowest integer is 29. The difference between the remaining two integers is 28. Which of the following integers is higher of the remaining two integers ?
When two integers are added the sum is -52. If the integers are in the ratio 6:7, then find the integers.
Consider the first order predicate formula ϕ: ∀x [(∀z z|x ⇒ ((z = x) ∨ (z = 1))) ⇒ ∃w (w > x) ∧ (∀z z|w ⇒ ((w = z) ∨ (z = 1)))] Here ‘a|b’ denotes that ‘a divides b’, where a and b are integers. Consider the following sets: S1. {1,2,3, ... , 100} S2. Set of all positive integers S3. Set of all integers Which of the above sets satisfy φ?
Four positive integers are given. If the average of any two of them is added to the remaining two integers, the numbers 46, 49, 48, 45, 44 and 47 are obtained. What is the average of the given four integers?
In a sequence of 8 consecutive integers, how much greater is the sum of the last four integers than the sum of the first four integers ?
The average of 5 positive integers is 60. If the average of 3 of these integers is 67, what is the greatest possible value that one of the other two integers can have?
In a sequence of consecutive integers, how much greater is the sum of the last four integers than sum of first four integers?
In a certain set of numbers, the ratio of integers to non integers is 1 : 4 . What percent of the numbers in the set are integers?