Answer:
Fredholm's integral equations of the first kind are the prototypical example of ill-posed linear inverse problems. The model, among other things, reconstruction of distorted noisy observations and indirect density estimation and also appear in instrumental variable regression. However, their numerical solution remains a challenging problem. Many techniques currently available require a preliminary discretization of the domain of the solution and make strong assumptions about its regularity. For example, the popular expectation-maximization smoothing (EMS) scheme requires the assumption of piecewise constant solutions which is inappropriate for most applications. We propose here a novel particle method that circumvents these two issues. This algorithm can be thought of as a Monte Carlo approximation of the EMS scheme which not only performs an adaptive stochastic discretization of the domain but also results in smooth approximate solutions. We analyze the theoretical properties of the EMS iteration and of the corresponding particle algorithm. Compared to standard EMS, we show experimentally that our novel particle method provides state-of-the-art performance for realistic systems, including motion deblurring and reconstruction of cross-section images of the brain from positron emission tomography.
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
Area of a Trapezoid can be defined by:
A =
just substitute given information
8.1 = .75(b₁ + 6.7)
8.1 = .75b₁ + 5.025
8.1 - 5.025 = .75b₁
3.075 = .75b₁
4.1 = b₁
the other base is equal to 4.1
4 7/15
You can only add fractions if they have the same denominator, which in this case is the 15 and the 5. So you can't add the 1/5 and the 4/15 together just yet because its not the same denominator. Multiply 3/3 to 1/5 to get the same denominator as 4/15, and it would become 3/15 because whatever you do to the top, you do to the top. Add them together and you get 7/15, and then add the whole 4 and you get 4 7/15
<h3>Hello there!</h3><h3>Answer: 1/13</h3>
1/13 would represent the amount of bananas in the basket.
There would be only 1 banana because it would complete he amount of fruits in the basket.
In the basket, we know that there are:
1 orange + 5 apples + 4 kiwis + 2 pears = 12
That would be 12 fruits, but there are suppose to be 13 fruits, which means that the remaining 1 fruit would be a banana.
So, that means that the amount of bananas in the basket is 1 out of 13, or 1/13.
<h3>I hope this helps!</h3><h3>Best regards,</h3><h3>MasterInvestor</h3>
