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Virtual Rides 3 Update V1 1-PLAZA PC 🚀

Virtual Rides 3 Update V1 1-PLAZA PC 🚀

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Virtual Rides 3 Update V1 1-PLAZA PC

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How to prove $\int_{0}^{\infty} e^{ -u} d \lfloor u \rfloor = e^{ -\lfloor u \rfloor} $?

How to prove $\int_{0}^{\infty} e^{ -u} d \lfloor u \rfloor = e^{ -\lfloor u \rfloor} $?
I have this proof, but it’s not right… So how should I prove it?
Note: $d x$ denotes the Lebesgue measure in $\mathbb{R}$
Proof:
\begin{align*}
\int_{0}^{\infty} e^{ -u} d \lfloor u \rfloor &= \int_{0}^{\infty} \sum_{n=0}^{\infty} (-1)^n e^{ -u(n+1)} d \lfloor u \rfloor \\
&= \sum_{n=0}^{\infty} \int_{0}^{\infty} (-1)^n e^{ -u(n+1)} d \lfloor u \rfloor \\
&= \sum_{n=0}^{\infty} (-1)^n e^{ -n} \int_{0}^{\infty} e^{ -u} d \lfloor u \rfloor \\
&= \sum_{n=0}^{\infty} (-1)^n e^{ -n} e^{ -\lfloor u \rfloor} \\
&= e^{ -\lfloor u \rfloor} \sum_{n=0}^{\infty} (-1)^n e^{ -n} \\
&= e^{ –

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Much like BMW’s new i3 vehicle and its European rival, the Renault Zoe, the new Nissan LEAF is also based on a compact vehicle platform. Both the i3 and Zoe, however, are far more attractive than the LEAF, which is all-business compared with the hatch-back i3’s looks.

The Nissan LEAF, which will be sold in Europe and other markets outside North America, features a slimmer profile than other LEAFs thanks to the use of an all-new, significantly wider framer.

At the Geneva motor show, Nissan unveiled its first ever all-electric car – the all-new LEAF. On the scales, the LEAF is lighter (about 27lbs lighter) and less bulky than the previous model, thanks to its all-new, highly-articulated and lightweight body.

Under the skin, the new LEAF is powered by electric motors, which drive the front wheels, as well as a liquid-cooled, DC motor located in the rear that acts as a regenerative braking system. A battery pack, the largest found in a production automobile, is located in the center tunnel, and is connected to the two motors via a multi-speed, direct-drive transmission that has a compound ratio of three speeds.

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