Orthonormal

For example, the standard basis for Euclidean 3-space {i,'''j''','''k'''} is orthonormal, because i·'''j''' = 0, i·'''k''' = 0, '''k'''·i = 0 and each vector is of Unit length. When referring to Real -valued Function s, usually the L² - Norm is assumed unless otherwise stated, so two functions $\phi(x)$ and $\psi(x)$ are orthonormal over the Interval {Link without Title} if : $(1)\quad\langle\phi(x),\psi(x) angle = \int_a^b\phi(x)\psi(x)dx = 0,\quad{ m and}$
	:<math> Orall N,m \ : \quad \left\langle U N U M Ight Angle	\delta_{n,m} </math>
	Where < > Is The Proper	"http://wwwinformationdelightinfo/encyclopedia/entry/inner_product" class="copylinks">Inner Product defined over the Vector Space

	CATEGORIES ABOUT ORTHONORMALITY

	linear algebra

	functional analysis

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