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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 is the doublet function?
The doublet function, often denoted as ( \delta' ), is a mathematical concept used primarily in the context of distributions or generalized functions. It is defined as the derivative of the Dirac delta function, ( \delta(x) ), and is used in various applications, including physics and engineering, to model point sources or singular behaviors in systems. In essence, the doublet function captures the idea of a "point source" that changes in strength or intensity, making it useful for analyzing systems with discontinuities or sharp variations.
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.
What is the doublet function?
The doublet function, often denoted as ( \delta' ), is a mathematical concept used primarily in the context of distributions or generalized functions. It is defined as the derivative of the Dirac delta function, ( \delta(x) ), and is used in various applications, including physics and engineering, to model point sources or singular behaviors in systems. In essence, the doublet function captures the idea of a "point source" that changes in strength or intensity, making it useful for analyzing systems with discontinuities or sharp variations.
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.
How do you differentiate and find the tangent?
When you differentiate a function, you find the slope of the function. The slope is also known as the tangent. The slope of a line, given one point, and a second point relative to the first point, but with x different, is given as delta y over delta x. Differentiation is simply taking the limit of the slope, i.e. where delta x approaches zero.
What is delta in a spreadsheet?
Delta is a function in an Excel spreadsheet that denotes the syntax of a series of numbers. Excel is a spreadsheet program created by Microsoft that many businesses and families use for budgets and accounting.
What are the different types of Delta shower valves available?
The different types of Delta shower valves available include pressure-balanced valves, thermostatic valves, and multi-function valves.
Why dirac delta function is used?
Well Dirac delta functions have a loot of application in physics.... Suppose u want to depict the charge density or mass density at only a particular point and want to show that at any other point in space this density is nil, we use this dirac delta function to depict the position of this charge or mass... In general, Dirac delta function is used whenever the divergence for a field has different and contradicting values at the origin....esp used when the usual Divergence theorum is proved wrong due to contradicting values of the flux...
How are the Kronecker delta and Dirac delta related in mathematical terms?
The Kronecker delta and Dirac delta are both mathematical functions used in different contexts. The Kronecker delta, denoted as ij, is used in linear algebra to represent the identity matrix. The Dirac delta, denoted as (x), is a generalized function used in calculus to represent a point mass or impulse. While they both involve the use of the symbol , they serve different purposes in mathematics.
What is Delta Delta Delta's motto?
The motto of Delta Delta Delta is 'love one another'.
Use the concept of a limit to explain how you could find the exact value for the definite integral value for a section of your graph?
The definite integral value for a section of a graph is the area under the graph. To compute the area, one method is to add up the areas of the rectangles that can fit under the graph. By making the rectangles arbitrarily narrow, creating many of them, you can better and better approximate the area under the graph. The limit of this process is the summation of the areas (height times width, which is delta x) as delta x approaches zero. The deriviative of a function is the slope of the function. If you were to know the slope of a function at any point, you could calculate the value of the function at any arbitrary point by adding up the delta y's between two x's, again, as the limit of delta x approaches zero, and by knowing a starting value for x and y. Conversely, if you know the antideriviative of a function, the you know a function for which its deriviative is the first function, the function in question. This is exactly how integration works. You calculate the integral, or antideriviative, of a function. That, in itself, is called an indefinite integral, because you don't know the starting value, which is why there is always a +C term. To make it into a definite integral, you evaluate it at both x endpoints of the region, and subtract the first from the second. In this process, the +C's cancel out. The integral already contains an implicit dx, or delta x as delta x approaches zero, so this becomes the area under the graph.
