3.1 The Basics of Stability Theory inMathematicsDefinition 3.2Definiteness of a scalar function V(X)A scalar function V(X) is calledpositivedefiniteasV(X)>O for all X eR" with V(X)=o if and only ifX=0.tA scalar function V(X) is called positive semi-definiteasV(X)≥0 for all X R" with V(X)=o if and only ifX=0
3.1 The Basics of Stability Theory in Mathematics
3.1 The Basics of Stability Theory inMathematicsDefinition 3.2Definiteness of a scalar function V(X)A scalar function V(X) is callednegativedefiniteasV(X)<Ofor all X eR" with V(X)=O if and only ifX=0.A scalar function V(X) is called negative semi-definiteasV(X)≤O for all X Rn with V(X)=o if and only ifX=0..A scalar function V(X) is called indefinite when it presentsboth positive and negative values for X + 0
3.1 The Basics of Stability Theory in Mathematics