奈斯比特不等式
奈斯比特不等式是数学中最简单的不等式之一。根据不等式的陈述，对于任何 3 个给定的实数，它们满足数学条件，
对于所有
都是
说明性示例:
满足 Nesbitts 不等式的 3 个数字是实数。 对于 a = 1，b = 2，c = 3， 不等式的条件 { 1/(2+3)}+{ 2/(1+3)}+{ 3/(1+2)}>= 1.5 成立。
对于 a = 1.5，b = 5.6，c = 4.9， 不等式的条件 { 1.5/(5.6+4.9)}+{ 5.6/(1.5+4.9)}+{ 4.9/(1.5+5.6)}>= 1.5 成立。
对于 a = 4，b = 6，c = 7， 不等式的条件 { 4/(6+7)}+{ 6/(4+7)}+{ 7/(4+6)}>= 1.5 成立。
对于 a = 459，b = 62，c = 783， 不等式的条件 { 459/(62+783)}+{ 62/(459+783)}+{ 783/(459+62)}>= 1.5 成立。
对于 a = 9，b = 6，c = 83， 不等式的条件 { 9/(6+83)}+{ 6/(9+83)}+{ 83/(9+6)}>= 1.5 成立。
C++
// C++ code to verify Nesbitt's Inequality
#include <bits/stdc++.h>
using namespace std;
bool isValidNesbitt(double a, double b, double c)
{
// 3 parts of the inequality sum
double A = a / (b + c);
double B = b / (a + c);
double C = c / (a + b);
double inequality = A + B + C;
return (inequality >= 1.5);
}
int main()
{
double a = 1.0, b = 2.0, c = 3.0;
if (isValidNesbitt(a, b, c))
cout << "Nesbitt's inequality satisfied."
<< "for real numbers " << a << ", "
<< b << ", " << c << "\n";
else
cout << "Not satisfied";
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java code to verify Nesbitt's Inequality
class GFG {
static boolean isValidNesbitt(double a,
double b, double c)
{
// 3 parts of the inequality sum
double A = a / (b + c);
double B = b / (a + c);
double C = c / (a + b);
double inequality = A + B + C;
return (inequality >= 1.5);
}
// Driver code
public static void main(String args[])
{
double a = 1.0, b = 2.0, c = 3.0;
if(isValidNesbitt(a, b, c) == true)
{
System.out.print("Nesbitt's inequality"
+ " satisfied.");
System.out.println("for real numbers "
+ a + ", " + b + ", " + c);
}
else
System.out.println("Nesbitts inequality"
+ " not satisfied");
}
}
// This code is contributed by JaideepPyne.
Python 3
# Python3 code to verify
# Nesbitt's Inequality
def isValidNesbitt(a, b, c):
# 3 parts of the
# inequality sum
A = a / (b + c);
B = b / (a + c);
C = c / (a + b);
inequality = A + B + C;
return (inequality >= 1.5);
# Driver Code
a = 1.0;
b = 2.0;
c = 3.0;
if (isValidNesbitt(a, b, c)):
print("Nesbitt's inequality satisfied." ,
" for real numbers ",a,", ",b,", ",c);
else:
print("Not satisfied");
# This code is contributed by mits
C
// C# code to verify
// Nesbitt's Inequality
using System;
class GFG
{
static bool isValidNesbitt(double a,
double b,
double c)
{
// 3 parts of the
// inequality sum
double A = a / (b + c);
double B = b / (a + c);
double C = c / (a + b);
double inequality = A + B + C;
return (inequality >= 1.5);
}
// Driver code
static public void Main ()
{
double a = 1.0, b = 2.0, c = 3.0;
if(isValidNesbitt(a, b, c) == true)
{
Console.Write("Nesbitt's inequality" +
" satisfied ");
Console.WriteLine("for real numbers " +
a + ", " + b + ", " + c);
}
else
Console.WriteLine("Nesbitts inequality" +
" not satisfied");
}
}
// This code is contributed by ajit
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP code to verify
// Nesbitt's Inequality
function isValidNesbitt($a, $b, $c)
{
// 3 parts of the
// inequality sum
$A = $a / ($b + $c);
$B = $b / ($a + $c);
$C = $c / ($a + $b);
$inequality = $A + $B + $C;
return ($inequality >= 1.5);
}
// Driver Code
$a = 1.0;
$b = 2.0;
$c = 3.0;
if (isValidNesbitt($a, $b, $c))
echo"Nesbitt's inequality satisfied.",
"for real numbers ", $a, ", ", $b,
", ", $c, "\n";
else
cout <<"Not satisfied";
// This code is contributed by Ajit.
?>
java 描述语言
<script>
// Javascript code to verify Nesbitt's Inequality
function isValidNesbitt(a, b, c)
{
// 3 parts of the
// inequality sum
let A = a / (b + c);
let B = b / (a + c);
let C = c / (a + b);
let inequality = A + B + C;
return (inequality >= 1.5);
}
// Driver code
let a = 1.0, b = 2.0, c = 3.0;
if (isValidNesbitt(a, b, c) == true)
{
document.write("Nesbitt's inequality" +
" satisfied.");
document.write("for real numbers " +
a + ", " + b + ", " + c);
}
else
document.write("Nesbitts inequality" +
" not satisfied");
// This code is contributed by decode2207
</script>
Output :
Nesbitt's inequality satisfied.for real numbers 1, 2, 3
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