A memoryless binary equiprobable source produces one letter per second. Two people each are provided separately with private information about the source data at a rate of 1/2 bit per second. Suppose that by pooling their information they can produce a long-mn reconstruction of the source output that has arbitrarily small error frequency. We prove that then the least common asymptotic error frequency d that each can achieve without the other's help is (\sqrt{2}-1)/2=0.207 . Since it had been shown previously that 0.200 \leq d \leq 0.207 , our result closes the so-called "007 gap." New analytical techniques introduced to effect the proof are of broader significance in multiuser information theory.
Abstract Film cooling is an important cooling technique used in modern gas turbines and air engines. It is a typical jet-in-cross-flow problem, where the jet interacts with the mainstream, leading to complex vortex structures and turbulence properties. In this paper, the deviation between RANS and LES data and the turbulent heat transport of film cooling problems are focused. A data-driven framework based on the physics-informed neural network (PINN) is proposed and used to calculate the distribution of the turbulent Prandtl number (Prt) based on the RANS flow field and the LES temperature field. This Prt is the target of a turbulence heat transport model, and the distribution of this Prt is analyzed in a wide range of film cooling flow conditions. A series of film cooling problems are studied with the variation of the hole geometry, the mainstream Mach number, and the blowing ratio. Results show that the turbulent Prandtl number largely deviates from the default value of 0.85 in most CFD solvers in all flow conditions and different turbulence models also lead to different Prt values, which means the turbulent heat transport model of Prt should be turbulence-model-related.
In order to solve the problems such as poor purification, complex circulation of well flushing and longtime of well flushing for well flushing fluid, in this paper, we design a four phase separation and back flushing high pressure well flushing vehicle and apply it to the actual situation.In this design, the floatation sedimentation oil-water separation technology, fiber ball rapid filtration technology, cyclone sand removal technology and the magnetic filtration technology are used to purify the return well flushing fluid as well flushing.These four phase matters include sediment, sump oil, rust and water, that are in the well flushing liquid and separated directly.Then the purified well washing liquid is injected into the well in closed circulation washing.The design is applied in the actual cleaning and purification of the well flushing fluid, and proved that the design is advanced and practical as the results are compared.The design of floatation sedimentation oil-water separation
The no-slip boundary condition in classical fluid mechanics is violated at a moving contact line, and it leads to an infinite rate of energy dissipation when combined with hydrodynamic equations. T...
An encoder whose input is a binary equiprobable memoryless source produces one output of rate R_{1} and another of rate R_{2} . Let D_{1}, D_{2}, and D_{0} , respectively, denote the average error frequencies with which the source data can be reproduced on the basis of the encoder output of rate R_{l} only, the encoder output of rate R_{2} only, and both encoder outputs. The two-descriptions problem is to determine the region R of all quintuples (R_{1}, R_{2}, D_{1}, D_{2}, D_{0}) that are achievable in thc usual Shannon sense. Let R(D)=1+D \log_{2} D+(1-D) \log_{2}(1-D) denote the error frequency rate-distortion function of the source. The "no excess rate case" prevails when R_{1} + R_{2} = R(D_{0}) , and the "excess rate case" when R_{1} + R_{2} > R(D_{0}) . Denote the section of R at (R_{1}, R_{2}, D_{0}) by D(R_{1} R_{2}, D_{0}) =\{(D_{1},D_{2}): (R_{1}, R_{2}, D_{1},D_{2},D_{0}) \in R} . In the no excess rate case we show that a portion of the boundary of D(R_{1}, R_{2}, D_{0}) coincides with the curve (\frac{1}{2} + D_{1}-2D_{0})(\frac_{1}_{2} + D_{2}-2D_{0})= \frac{1}{2}(1-2D_{0})^{2} . This curve is an extension of Witsenhausen's hyperbola bound to the case D_{0} > 0 . It follows that the projection of R onto the (D_{1}, D_{2}) -plane at fixed D_{0} consists of all D_{1} \geq D_{0} and D_{2} \geq D_{0} that lie on or above this hyperbola. In the excess rate case we show by counterexample that the achievable region of El Gamal and Cover is not tight.
Multiplications for binary vectors are defined which are consistent with the multiplication on Z4. A sufficient condition for a linear (block or convolutional) code over Z4 to be equivalent to a binary linear code. is also presented.
'/%3e%3cuse xlink:href='%23a' transform='rotate(23.036 .093 25.536)'/%3e%3cuse xlink:href='%23a' transform='rotate(45.87 1.273 16.18)'/%3e%3cuse xlink:href='%23a' transform='rotate(69.945 .996 12.078)'/%3e%3cuse xlink:href='%23a' transform='rotate(20.66 -19.689 31.932)'/%3e%3c/svg%3e)
