How to Express f(x,t) in Big Oh Notation?

AxiomOfChoice · 2012-11-22T03:31:08+00:00

Suppose I have a function of x and t such that f(x,t) \leq x^{1/2} \sqrt{1+t^2}. How should I express this in big Oh notation in terms of both x AND t?

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

View full post »

Thread 'How does time derivative commute from one variable to another?'

Similar threads

Hot Threads

I Algebraic property of real numbers

I Problem in understanding instantaneous velocity

I How to find the path if we only know the velocity (without common formulas)?

I Harmonic series Ʃ1/n diverges but p-series Ʃ(1/n)^p diverges?

I Explicit logical justification for last step in epsilon/delta proof?

Recent Insights

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers

Insights Fermat's Last Theorem

Insights Why Vector Spaces Explain The World: A Historical Perspective