MathPHP\LinearAlgebra\VectorAxiomsTest::testMaxNormLessThanEqualL1NormLessThanEqualSqrtNMaxNorm PHP Метод

testMaxNormLessThanEqualL1NormLessThanEqualSqrtNMaxNorm() публичный Метод

Axiom: |x|∞ ≤ |x|₁ ≤ √n |x|∞ Max norm is less than equal to l₁-norm which is less than equal to sqrt n * max norm.
    public function testMaxNormLessThanEqualL1NormLessThanEqualSqrtNMaxNorm(array $V)
    {
        $V = new Vector($V);
        $n = $V->getN();
        $max_norm = $V->maxNorm();
        $l₁norm = $V->l1Norm();
        $√n_max_norm = $n * $max_norm;
        $this->assertLessThanOrEqual($l₁norm, $max_norm);
        $this->assertLessThanOrEqual($√n_max_norm, $l₁norm);
        $this->assertLessThanOrEqual($√n_max_norm, $max_norm);
    }