0
What else can I help you with?
What does the derivative of a function mean?
The derivative of a function is another function that represents the slope of the first function, slope being the limit of delta y over delta x at any two points x1,y1 and x2,y2 on the graph of the function as delta x approaches zero.
How do you integrate Delta function using TI-NspireCAS?
Just evaluate the function where the value passed to the delta is 0. i.e. if your are trying to integrate x^2*delta(x-3)dx, that is just equal to the value of x^2=3^2=9 since x-3=0 at x=3. If the limits of integration do not include the value where delta is 0, then the integral is 0 since delta(x)=0 everywhere that x is not=0. Thinking of it from a graphical perspective, you are asking for the area under the curve of a function multiplied by the delta function, which just leaves the portion of the graph at where the spike from delta happens. Everywhere else, the graph is 0. So the only thing that contributes to the integral is the value of the function where delta(0) happens. Since the integral of the function at that point is constant and delta at that point is just 1, it's just the value of the function at that point. I do not believe there is a delta function in the TI-NSpire for you to do this directly. You need to recognized the meaning of the delta function.
What is the laplace transform of a unit step function?
a pulse (dirac's delta).
A linear function passes through the point -2 -9 and 0 3 what Is slope of the function?
The idea is to divide delta-y by delta-x. In other words, divide the difference in the y-coordinates, by the difference in the x-coordinates.
What does delta mean in maths?
There are many meanings. The most common one is "change in". So delta x is the change in x. This form is often used in calculus where it means very small changes in x. But there is also the Dirac delta function, a fundamental mathematical underpinning for quantum physics. A delta can also be a quadrilateral which is otherwise known as an arrowhead.
What are the units of the delta function?
The units of the delta function are inverse of the units of the independent variable.
What does the derivative of a function mean?
The derivative of a function is another function that represents the slope of the first function, slope being the limit of delta y over delta x at any two points x1,y1 and x2,y2 on the graph of the function as delta x approaches zero.
How do you integrate Delta function using TI-NspireCAS?
Just evaluate the function where the value passed to the delta is 0. i.e. if your are trying to integrate x^2*delta(x-3)dx, that is just equal to the value of x^2=3^2=9 since x-3=0 at x=3. If the limits of integration do not include the value where delta is 0, then the integral is 0 since delta(x)=0 everywhere that x is not=0. Thinking of it from a graphical perspective, you are asking for the area under the curve of a function multiplied by the delta function, which just leaves the portion of the graph at where the spike from delta happens. Everywhere else, the graph is 0. So the only thing that contributes to the integral is the value of the function where delta(0) happens. Since the integral of the function at that point is constant and delta at that point is just 1, it's just the value of the function at that point. I do not believe there is a delta function in the TI-NSpire for you to do this directly. You need to recognized the meaning of the delta function.
Form of power spectrum to dirac delta function?
The power spectrum of a delta function is a constant, independent of its real space location. It is given by |F{delta(x-a)^2}|^2=|exp(-i2xpiexaxu)|^2=1.
What are the Laplace transform of unit doublet function?
The Laplace transform of the unit doublet function is 1.
What is the mathematical definition and properties of the double delta function?
The double delta function, denoted as (x), is a mathematical function that is zero everywhere except at x 0, where it is infinite. It is used in signal processing and mathematics to represent impulses or spikes in a system. The properties of the double delta function include symmetry, scaling, and the sifting property, which allows it to act as a filter for specific frequencies in a signal.
What is the laplace transform of a unit step function?
a pulse (dirac's delta).
What is continuity of function using epsilom and delta definition?
For each delta > 0 there exists some epsilon > 0 such that: |x - y| < epsilon ensures that |f(x) - f(y)| < delta.
What is the formula for calculating the change in the independent variable, delta x, in a mathematical function or equation?
The formula for calculating the change in the independent variable, delta x, in a mathematical function or equation is: delta x x2 - x1 Where x2 is the final value of the independent variable and x1 is the initial value of the independent variable.
A linear function passes through the point -2 -9 and 0 3 what Is slope of the function?
The idea is to divide delta-y by delta-x. In other words, divide the difference in the y-coordinates, by the difference in the x-coordinates.
How is the delta function used in quantum mechanics?
The delta function is used in quantum mechanics to represent a point-like potential or a point-like particle. It is often used in solving differential equations and describing interactions between particles in quantum systems.
What does delta mean in maths?
There are many meanings. The most common one is "change in". So delta x is the change in x. This form is often used in calculus where it means very small changes in x. But there is also the Dirac delta function, a fundamental mathematical underpinning for quantum physics. A delta can also be a quadrilateral which is otherwise known as an arrowhead.
