# 17 which of the following functions returns the largest integer that is less than or equal to x? Full Guide

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### The Greatest Integer Function

The Greatest Integer Function
The Greatest Integer Function

### IBM Documentation [1]

calculates the largest integer that is less than or equal to x.. returns the floating-point result as a double value.
#include #include int main(void) { double y, z; y = floor(2.8); z = floor(-2.8); printf(“floor( 2.8 ) = %lf\n”, y); printf(“floor( -2.8 ) = %lf\n”, z); } /******************* Output should be similar to: *************** floor( 2.8 ) = 2.000000 floor( -2.8 ) = -3.000000 */

### IBM Documentation [2]

The ceil() function computes the smallest integer that is greater than or equal to x.. The ceil() function returns the integer as a double value.
#include #include int main(void) { double y, z; y = ceil(1.05); /* y = 2.0 */ z = ceil(-1.05); /* z = -1.0 */ printf(“y = %.2f ; z = %.2f\n”, y, z); } /***************** Output should be similar to: *********************** y = 2.00 ; z = -1.00 **********************************************************************/

### C++ Standard Library [3]

floor() function in C++ returns the largest possible integer value which is less than or equal to the given argument.. #include #include using namespace std; int main() {// get the largest possible integer less than or equal to 68.95 cout
– the largest possible integer value which is less than or equal to num. floor() function as defined in the cmath header file are:
#include #include using namespace std; int main() { double num, result;num = 10.25; result = floor(num);cout

### floor() Function in C [4]

The floor() is a library function in C defined in the header file. This function returns the nearest integer value, which is less than or equal to the floating point number (float or double) passed to it as an argument.
A floating point number (a float or a double value) is passed to the floor() function.. The floor() function in C has a single parameter: a floating point number
The floor() return value in C is an integer value immediately smaller or equal to the floating point number (float or double value) passed to it.. In the above example, we are rounding off num to its immediately smaller integer using the floor() function

### Expert Maths Tutoring in the UK [6]

The greatest integer function is also known as the step function. It rounds up the number to the nearest integer less than or equal to the given number
The domain of the greatest integer function is ℝ and its range is ℤ.. Therefore the greatest integer function is simply rounding off the given number to the greatest integer that is less than or equal to the given number
Greatest integer function is a function that gives the greatest integer less than or equal to a given number. The greatest integer less than or equal to a number x is represented as ⌊x⌋

### JavaScript: Math floor() function [7]

This JavaScript tutorial explains how to use the math function called floor() with syntax and examples.. In JavaScript, floor() is a function that is used to return the largest integer value that is less than or equal to a number
Because the floor() function is a static function of the Math object, it must be invoked through the placeholder object called Math.. In JavaScript, the syntax for the floor() function is:
The floor() function returns the largest integer value that is less than or equal to a number.. – Math is a placeholder object that contains mathematical functions and constants of which floor() is one of these functions.

### SQL Server FLOOR() Function [8]

Return the largest integer value that is equal to or less than 25.75:. SELECT FLOOR(25.75) AS FloorValue;Try it Yourself »
Tip: Also look at the CEILING() and ROUND() functions.. |Works in:||SQL Server (starting with 2008), Azure SQL Data Warehouse, Parallel Data Warehouse|
Return the largest integer value that is equal to or less than -13.5:. SELECT FLOOR(-13.5) AS FloorValue;Try it Yourself »

### Greatest Integer Function [9]

The greatest integer function is a function that results in the integer nearer to the given real number. The greatest integer function rounds off the given number to the nearest integer
It is represented by the symbol ⌊x⌋, where x is any value.. The greatest integer function is denoted by ⌊x⌋, for any real function
The domain of the greatest integer function is a group of real numbers that are divided into intervals like [-4, 3), [-3, 2), [-2, 1), [-1, 0) and so on. The important properties of greatest integer function are:

### math — Mathematical functions ¶ [10]

This module provides access to the mathematical functions defined by the C standard.. These functions cannot be used with complex numbers; use the functions of the
those which don’t is made since most users do not want to learn quite as much. mathematics as required to understand complex numbers
number used as a parameter, so that the programmer can determine how and why it. The following functions are provided by this module

### Math functions – Visual Basic [11]

The methods of the System.Math class provide trigonometric, logarithmic, and other common mathematical functions.. The following table lists methods of the System.Math class
|Asin||Returns the angle whose sine is the specified number.|. |Atan||Returns the angle whose tangent is the specified number.|
|BigMul||Returns the full product of two 32-bit numbers.|. |Ceiling||Returns the smallest integral value that’s greater than or equal to the specified

### MySQL :: MySQL 8.0 Reference Manual :: 12.6.2 Mathematical Functions [12]

||Return the smallest integer value not less than the argument|. ||Return the smallest integer value not less than the argument|
||Return the natural logarithm of the first argument|. ||Return the argument raised to the specified power|
ABS(-9223372036854775808)produces an error because the result cannot be stored in a signed. mysql> SELECT ABS(2); -> 2 mysql> SELECT ABS(-32); -> 32

### Enforce standardized SQL queries—ArcGIS Server [13]

ArcGIS Server includes a security option that forces developers to use standardized SQL queries when working with map, feature, image, and WFS services through REST or SOAP. This makes it easier for developers and applications to query ArcGIS Server services and helps prevent SQL injection attacks
When standardized queries are enabled, ArcGIS Server checks for standard syntax, and does not allow database-specific functions and syntax. If you’re an application developer currently using database-specific functions and syntax, you’ll need to update the where clauses in your application’s code to use common SQL syntax supported by ArcGIS
Standardized queries are applied to the entire ArcGIS Server site; they cannot be enabled for some services and disabled for others.. Standardized queries are not supported on joins between different workspaces

### Which method returns the largest integer that is less than or equal to the argument? [14]

Which method returns the largest integer that is less than or equal to the argument?. The floor function returns the largest whole number that is less than or equal to the input
The floor function returns the largest whole number that is less than or equal to the input. As the nearest whole number that is less than or equal to 10.4 is 10, 10.0 is printed
if we input a non-decimal number into the floor function, a. Upgrade to Microsoft Edge to take advantage of the latest features, security updates, and technical support.

### Python’s min() and max(): Find Smallest and Largest Values – Real Python [15]

max() functions come in handy when you need to find the smallest and largest values in an iterable or in a series of regular arguments. Even though these might seem like fairly basic computations, they turn out to have many interesting use cases in real-world programing
max()with a single iterable or with any number of regular arguments. – Use comprehensions and generator expressions as arguments to
max() in pure Python, which can help you understand how these functions work internally.. Free Bonus: 5 Thoughts On Python Mastery, a free course for Python developers that shows you the roadmap and the mindset you’ll need to take your Python skills to the next level.

### R Built-in Functions [16]

The functions which are already created or defined in the programming framework are known as a built-in function. R has a rich set of functions that can be used to perform almost every task for the user
R provides the various mathematical functions to perform the mathematical calculation. These mathematical functions are very helpful to find absolute value, square value and much more calculations
||It returns the smallest integer which is larger than or equal to x.. ||It returns the largest integer, which is smaller than or equal to x.

### Mathematical Functions [17]

LINGO offers a number of standard, mathematical functions. These functions return a single result based on one or more scalar arguments
For example, @LOG( X – 5) is not defined for values of X less-than-or-equal-to 5. In such cases, it may be helpful to bound variables so that all functions are defined, otherwise the solver may return a numeric error
Returns the inverse cosine, or arccosine, of X, where X is an angle in radians.. Returns the inverse hyperbolic cosine of X, where X is an angle in radians.

### Sources

1. https://www.ibm.com/docs/ssw_ibm_i_73/rtref/floor.htm#:~:text=The%20floor()%20function%20calculates,than%20or%20equal%20to%20x.
2. https://www.ibm.com/docs/ssw_ibm_i_71/rtref/ceil.htm#:~:text=The%20ceil()%20function%20computes,than%20or%20equal%20to%20x%20.&text=The%20ceil()%20function%20returns%20the%20integer%20as%20a%20double%20value.&text=This%20example%20sets%20y%20to,2.0%20and%20%2D1.0%2C%20respectively.
5. https://www.tutorialspoint.com/How-do-I-find-the-largest-integer-less-than-x-in-Python
6. https://www.cuemath.com/algebra/greatest-integer-function/
7. https://www.techonthenet.com/js/math_floor.php
8. https://www.w3schools.com/sql/func_sqlserver_floor.asp
9. https://byjus.com/maths/greatest-integer-function/
10. https://docs.python.org/3/library/math.html
11. https://learn.microsoft.com/en-us/dotnet/visual-basic/language-reference/functions/math-functions
12. https://dev.mysql.com/doc/refman/8.0/en/mathematical-functions.html