Tuesday, July 17, 2012

Least Integer Function

The function whose value at any number x is the smallest integer greater than of equal to x is called the least integer function. It is denoted by ⌈x⌉ It is also known as ceiling of x. For example ⌈3.578⌉ = 4 , ⌈0.78⌉ = 1 , ⌈-4.64⌉ = - 4.

The graph of the least integer function lies on or above the line y = x , so it provides an integer ceiling for x.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

19 comments:

  1. Please will you solve a sum
    Its quite harder

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  2. if [a] is a least integer greater than or equal to a, then [-4.5] + [4.5]

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    Replies
    1. As you mentioned that [] is least integer function so
      [-4.5]=-4. & [4.5]=5
      So addition of both is 1
      In case of greatest integer function
      [-4.5]=-5 & [4.5]=4
      Now addition is -1

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  3. What is smallest integer function of 1

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  4. Your examples are very Easy to understand .thank you...

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  5. Least integer is
    A.0

    B.-1

    C.1

    D.None

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  6. Which is the least integer?

    a. 8
    b. 1
    c. -1
    d.-8

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  7. Provide least integer inequality properties

    ReplyDelete