Positive/Negative Semi Definite/Definiteness Indefinite Functions
| if 𝑓(𝑥) > 0 for all 𝑥 ≠ 0 | then 𝑓(𝑥) is | positive definite |
| if 𝑓(𝑥) < 0 for all 𝑥 ≠ 0 | then 𝑓(𝑥) is | negative definite |
| if 𝑓(𝑥) can be positive and negative | then 𝑓(𝑥) is | indefinite |
| if 𝑓(𝑥) ≥ 0 for all 𝑥 | then 𝑓(𝑥) is | positive semi-definite |
| if 𝑓(𝑥) ≤ 0 for all 𝑥 | then 𝑓(𝑥) is | negative semi-definite |
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