Melbourne Cup Challenge Full Version 16

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Melbourne Cup Challenge Full Version 16


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Incorrect expectation value for scalar product with one unit vector?

I am trying to compute the expectation value of
\langle a \mid \mathbf{r} \mid b \rangle = a^T \mathbf{r} b = \langle \mathbf{r} \mid a \otimes b \rangle
where $\mathbf{r}$ is a vector of unit length, $a$ and $b$ are unit vectors.
So far I have the following expectation value:
\langle a \mid \mathbf{r} \mid b \rangle = \langle \mathbf{r} \mid a \otimes b \rangle = \int \int r_\lambda a_\mu b_
u \delta_{\lambda\mu} \delta_{\sigma
u} \text{d}\lambda \text{d}\sigma = \int r_\sigma a_\sigma b_\sigma \text{d}\sigma = r_\sigma a_\sigma b_\sigma
However, this result does not agree with my expectation. My expectation would be that the integral is zero because both $a$ and $b$ are unit vectors. However, my expectation is that
\langle a \mid \mathbf{r} \mid b \rangle = – \langle \mathbf{r} \mid a \otimes b \rangle = \int \int r_\lambda a_\mu b_
u \delta_{\lambda\mu} \delta_{\sigma
u} \text{d}\lambda \text{d}\sigma = \int -r_\lambda a_\lambda b_\sigma \text{d}\lambda = 0
as $\lambda = \sigma$, and again $a$ and $b$ are unit vectors


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Oct 23, 2016
although the horse’s owners have denied they are considering pulling him out of the race.. only 8 days rest for man and beast, but no other horses and no other cars.. $16,000,000 Melbourne Cup Challenge PS3 (EUR) PS3 Test.
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The Melbourne Cup, the world’s richest horse race and Australia’s national horse race, has been cancelled due to coronavirus fears. This is the first time the race has been called off after 25 successful runnings since 1960. .
“She just whimpers. All she does is whinny and look at me,” he said. “All she does is look at me and whinny.” .

The New Zealand Derby is one of the world’s richest horse races, contested each year over one and a quarter miles . The New Zealand Derby will be held on Tuesday December 2. Schedule and race results with riders. The Melbourne Cup Challenge .
The grandest day in Australian thoroughbred racing
however, was without doubt the Melbourne Cup. The Melbourne Cup Challenge, the most anticipated sporting event of the year, takes place today and ends in madness as each riding stable comes out fighting for the coveted Melbourne Cup Challenge Cup. .
8 years old, pocketed a cool AUD850,000 in the Melbourne Cup Challenge ($280,000 at today’s rates). The biggest winner on day one of the 2020 Melbourne Cup Challenge, the horse was bred by a Dutch stud and named Stentor, believed to be the first Arabian horse to have been sent to stud in Australia. .
The greatest horse race in the world, the Melbourne Cup Challenge is a
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