MathPHP\LinearAlgebra\VectorAxiomsTest::testMaxNormLessThtanEQualL2NormLessThanEqualSqrtNMaxNorm PHP Method

testMaxNormLessThtanEQualL2NormLessThanEqualSqrtNMaxNorm() public method

Axiom: |x|∞ ≤ |x|₂ ≤ √n |x|∞ Max norm is less than equal to l₂-norm which is less than equal to sqrt n * max norm.
    public function testMaxNormLessThtanEQualL2NormLessThanEqualSqrtNMaxNorm(array $V)
    {
        $V = new Vector($V);
        $n = $V->getN();
        $max_norm = $V->maxNorm();
        $l²norm = $V->l2Norm();
        $√n_max_norm = $n * $max_norm;
        $this->assertLessThanOrEqual($l²norm, $max_norm);
        $this->assertLessThanOrEqual($√n_max_norm, $l²norm);
        $this->assertLessThanOrEqual($√n_max_norm, $max_norm);
    }