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Make A Difference Now Honored with GreatNonprofit's Prestigious Top-Rated Award

Nonprofit Offers Sponsorship of a Child, Charity Hikes and International Volunteering Opportunities Helping Disadvantaged Children and Youth Access Quality Education so They May Become Self-Sufficient Contributing Citizens of the World.




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Personalization, Differentiation Cited by StoneShot as Biggest Challenges Facing Financial Marketers Today

StoneShot's Financial Marketer Mindset study reveals biggest challenges facing financial marketers today and the impact of technology on marketing strategy




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Business and Beauty Maven Patricia Chalkley Epitomizes Avon's Dedication to Customer Service and Making a Difference

Avon's founder was a pioneer of women's empowerment, long before women's rights were widely recognized, and they continue to drive this powerful mission for women today, supported by passionate and talented associates worldwide.




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Boise Cleaning Company Making A Difference During COVID-19

Boise Cleaning Maid Easy Helping Cancer Patients




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DIY Hydroponics – What is the difference between TDS and EC

TDS vs EC meter – Which one to buy? If you are a beginner in Hydroponics, it is certain, at some point, you would have had this question in your mind. Should I buy an EC meter or a TDS meter? While the users are split on which one is better, it is good to […]




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Forecasting Stories 3: Each Time-series Component Sings a Different Song

With time-series decomposition, we were able to infer that the consumers were waiting for the highest sale of the year rather than buying up-front.




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What Successful People Do Differently

Heidi Grant Halvorson, motivational psychologist and author of "Nine Things Successful People Do Differently."




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How Authority and Decision-Making Differ Across Cultures

Erin Meyer, professor at INSEAD, discusses management hierarchy and decision-making across cultures. Turns out, these two things don’t always track together. Sometimes top-down cultures still have strong consensus-driven decision-making styles — and the other way around. Meyer helps break down and map these factors so that managers working across cultures can adapt. She’s the author of the article, "Being the Boss in Brussels, Boston, and Beijing" in the July-August 2017 issue of Harvard Business Review.




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What is the difference between original Distress Ink and Distress Oxide?

Do the new Distress Oxide colors have you asking “what is the difference between the original Distress ink and new Distress Oxide ink?” Let’s test it!




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The difference between antibody and antigen tests for the coronavirus: Who should get them and what do they do?

Aaron Lavinsky/Star Tribune via Getty Images

  • Diagnostic or polymerase chain reaction (PCR) tests are currently being used to diagnose patients with COVID-19.

  • Antibody tests allow for more accurate tracking of the spread of the coronavirus. People who test positive for coronavirus antibodies can also donate plasma.
  • Antigen testing is not on the market yet, but Massachusetts-based E25Bio is among several companies seeking FDA approval for at-home test kits.
  • Visit Business Insider's homepage for more stories.

With new information released all the time, it can be difficult to keep track of how doctors are testing for the coronavirus. 

While identifying and treating infected patients is critical, some tests add to our greater understanding of the pandemic's size, impact, and direction. Here is a breakdown of the differences between diagnostic, antibody, and antigen testing.

See the rest of the story at Business Insider

NOW WATCH: 'I'm not going to sit up here and pretend like it's a joke': 3 coronavirus patients share their stories from quarantine

See Also:




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SCCM Pod-115 PCCM: Difficult Conversations in the Pediatric ICU

Elaine Meyer, RN, PhD, discuss a paper published recently in Pediatric Critical Care Medicine.




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How different sectors of the economy are bearing the brunt of the coronavirus outbreak

A report by the UN Conference on Trade and Development has forecast that the global economy may see an impact of $1-2 trillion in 2020. How far will the virus impact the Indian economy. Here's a brief overview.




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How to tell the difference between COVID-19 and spring allergies

Anxiety is running high, along with the pollen count. A local allergist weighs in.




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Baltimore's Malcolm Delaney: An NBA Star Making A Difference For Kids In His Hometown

Atlanta Hawks guard Malcolm Delaney is a hero in more ways than one to some Baltimore City Public Schools students who attend the very same elementary school that he attended in northeast Baltimore.




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“In any case, we have a headline optimizer that A/B tests different headlines . . .”

The above line is not a joke. It’s from Buzzfeed. Really. Stephanie Lee interviewed a bunch of people, including me, for this Buzzfeed article, “Two Big Studies Say There Are Way More Coronavirus Infections Than We Think. Scientists Think They’re Wrong.” I liked the article. My favorite part is a quote (not from me) that […]




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Rangers Respond to Report of Train Passenger with Difficulty Breathing

In spite of the rapid response time, park emergency responders were not able to revive 72-year old John Debelack of Saddlebrooke, Arizona. https://www.nps.gov/grca/learn/news/2011-06-29_death.htm




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Small grants make a big difference in mental health




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A Review of Double-Diffusion Wood Preservation Suitable For Alaska

Currently, all treated lumber used in Alaska is imported from the 48 contiguous states and Canada because there are no wood-treating facilities in Alaska. This report explores conventional and alternative wood-treating methods and reviews previous studies and laboratory tests on treated wood. In investigating wood treatment as a possible processing option for Alaska forest products manufacturers, the double-diffusion method of using sodium fluoride followed by a copper sulfate appeared to be the most advantageous approach. This method of treating wood was identified because it can be used to treat freshly cut or green wood. This was an important factor to consider, owing to the limited drying capacity in Alaska. Little information was available as to the chemical retention after treating and its resistance to leaching.




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How do the UK nations differ over easing lockdown?

The four parts of the UK could now move at ‘different speeds’ in adapting their Coronavirus restrictions




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What Will You And Your Station Do Differently Today To Make A Difference In Your Audience's Life In The Middle Of The COVID-19 Pandemic?

During the COVID-19 lockdown, and during the gradual re-opening of communities, PPM meters are now coming back online and meter counts are inching up as more people get in cars and resume a … more




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Heart disease risk profiles differ widely among African Americans, blacks from the Caribbean and African immigrants

Research Highlights: Black immigrants from Africa and from the Caribbean differ from U.S.-born blacks in rates of high blood pressure, diabetes, smoking and overweight/obesity. The research supports a more detailed look at black populations and the...




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Artist Makes Cardboard Cutouts With Pandemic Jokes To Lighten This Difficult Time

Gotcha! According to John Marshall: “I draw on sheets of cardboard and pose with them at sunset. I call them...




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Podcast: Michael Jordan, the NBA and ‘The Last Dance’ from 2 different perspectives

“The Last Dance,” the Michael Jordan documentary on ESPN every Sunday night for five weeks got me thinking I’d like to talk about this. You can listen to Jordan talk and “The...



  • Hlastradamus Odds Podcast

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The Key Difference Between Centralization and Decentralization

One of the more compelling insights to come from the Joe Rogan interview with Elon Musk is this idea that humanity is actively creating “giant cybernetic collectives.” Through our participation in social media platforms and on the internet in general, we are assimilating knowledge and building connections at a rate that vastly exceeds everything that […]



  • Centralization vs. Decentralization
  • Videos

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Boats heading for different destinations

We are in the same storm, but not in the same boat. Your ship could be shipwrecked and mine might not be. Or vice versa.

For some, quarantine is optimal: a moment of reflection, of reconnection, easy in flip-flops, with a cocktail or coffee. For others, this is a desperate financial & family crisis.

In some homes a sole occupant faces loneliness. In others, family members are getting peace and time with each other — in others, quarantine means an increased danger due to domestic violence.

Some families of four just received $3,400 from the stimulus while other families of four saw $0.

Some were concerned about getting a certain candy for Easter while others were concerned if there would be enough bread, milk and eggs for the weekend.

Some want to go back to work because they don’t qualify for unemployment and are running out of money. Others want to punish those who break the quarantine.

Some are home spending a few hours a day helping their child with online schooling while others are educating their children on top of a 10-12 hour workday.

Some have experienced the near death of the virus, some have already lost someone and some are not sure if their loved ones are going to make it. Others don’t believe this is a big deal.

We are not in the same boat. Our perceptions and needs are completely different.

We are all on different ships during this storm experiencing a very different journey.

Diane LaDuke

Iowa City



  • Letters to the Editor

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I took this shot about a year ago when I had a very different...



I took this shot about a year ago when I had a very different editing style. A ton of faded blacks and, believe it or not, a subtle green tint (unknowingly inherited from the preset I was using at the time). Re-editing it now, I’m happy with the way my style has evolved, though I can already sense that I’m on the brink of evolving it again. And I’m okay with that. ???? (at London, United Kingdom)





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Talking to computers (part 1): Why is speech recognition so difficult?

Although the performance of today's speech recognition systems is impressive, the experience for many is still one of errors, corrections, frustration and abandoning speech in favour of alternative interaction methods. We take a closer look at speech and find out why speech recognition is so difficult.




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Differentiating through Log-Log Convex Programs. (arXiv:2004.12553v2 [math.OC] UPDATED)

We show how to efficiently compute the derivative (when it exists) of the solution map of log-log convex programs (LLCPs). These are nonconvex, nonsmooth optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs. We focus specifically on LLCPs generated by disciplined geometric programming, a grammar consisting of a set of atomic functions with known log-log curvature and a composition rule for combining them. We represent a parametrized LLCP as the composition of a smooth transformation of parameters, a convex optimization problem, and an exponential transformation of the convex optimization problem's solution. The derivative of this composition can be computed efficiently, using recently developed methods for differentiating through convex optimization problems. We implement our method in CVXPY, a Python-embedded modeling language and rewriting system for convex optimization. In just a few lines of code, a user can specify a parametrized LLCP, solve it, and evaluate the derivative or its adjoint at a vector. This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters. We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow. Finally, we present applications to designing queuing systems and fitting structured prediction models.




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Simulation of Integro-Differential Equation and Application in Estimation of Ruin Probability with Mixed Fractional Brownian Motion. (arXiv:1709.03418v6 [math.PR] UPDATED)

In this paper, we are concerned with the numerical solution of one type integro-differential equation by a probability method based on the fundamental martingale of mixed Gaussian processes. As an application, we will try to simulate the estimation of ruin probability with an unknown parameter driven not by the classical L'evy process but by the mixed fractional Brownian motion.




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Positive Geometries and Differential Forms with Non-Logarithmic Singularities I. (arXiv:2005.03612v1 [hep-th])

Positive geometries encode the physics of scattering amplitudes in flat space-time and the wavefunction of the universe in cosmology for a large class of models. Their unique canonical forms, providing such quantum mechanical observables, are characterised by having only logarithmic singularities along all the boundaries of the positive geometry. However, physical observables have logarithmic singularities just for a subset of theories. Thus, it becomes crucial to understand whether a similar paradigm can underlie their structure in more general cases. In this paper we start a systematic investigation of a geometric-combinatorial characterisation of differential forms with non-logarithmic singularities, focusing on projective polytopes and related meromorphic forms with multiple poles. We introduce the notions of covariant forms and covariant pairings. Covariant forms have poles only along the boundaries of the given polytope; moreover, their leading Laurent coefficients along any of the boundaries are still covariant forms on the specific boundary. Whereas meromorphic forms in covariant pairing with a polytope are associated to a specific (signed) triangulation, in which poles on spurious boundaries do not cancel completely, but their order is lowered. These meromorphic forms can be fully characterised if the polytope they are associated to is viewed as the restriction of a higher dimensional one onto a hyperplane. The canonical form of the latter can be mapped into a covariant form or a form in covariant pairing via a covariant restriction. We show how the geometry of the higher dimensional polytope determines the structure of these differential forms. Finally, we discuss how these notions are related to Jeffrey-Kirwan residues and cosmological polytopes.




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A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France. (arXiv:2005.03499v1 [q-bio.PE])

A reaction-diffusion model was developed describing the spread of the COVID-19 virus considering the mean daily movement of susceptible, exposed and asymptomatic individuals. The model was calibrated using data on the confirmed infection and death from France as well as their initial spatial distribution. First, the system of partial differential equations is studied, then the basic reproduction number, R0 is derived. Second, numerical simulations, based on a combination of level-set and finite differences, shown the spatial spread of COVID-19 from March 16 to June 16. Finally, scenarios of unlockdown are compared according to variation of distancing, or partially spatial lockdown.




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Fourier transformation and stability of differential equation on $L^1(Bbb{R})$. (arXiv:2005.03296v1 [math.FA])

In the present paper by the Fourier transform we show that every linear differential equations of $n$-th order has a solution in $L^1(Bbb{R})$ which is infinitely differentiable in $Bbb{R} setminus {0}$. Moreover the Hyers-Ulam stability of such equations on $L^1(Bbb{R})$ is investigated.




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Differential Machine Learning. (arXiv:2005.02347v2 [q-fin.CP] UPDATED)

Differential machine learning (ML) extends supervised learning, with models trained on examples of not only inputs and labels, but also differentials of labels to inputs.

Differential ML is applicable in all situations where high quality first order derivatives wrt training inputs are available. In the context of financial Derivatives risk management, pathwise differentials are efficiently computed with automatic adjoint differentiation (AAD). Differential ML, combined with AAD, provides extremely effective pricing and risk approximations. We can produce fast pricing analytics in models too complex for closed form solutions, extract the risk factors of complex transactions and trading books, and effectively compute risk management metrics like reports across a large number of scenarios, backtesting and simulation of hedge strategies, or capital regulations.

The article focuses on differential deep learning (DL), arguably the strongest application. Standard DL trains neural networks (NN) on punctual examples, whereas differential DL teaches them the shape of the target function, resulting in vastly improved performance, illustrated with a number of numerical examples, both idealized and real world. In the online appendices, we apply differential learning to other ML models, like classic regression or principal component analysis (PCA), with equally remarkable results.

This paper is meant to be read in conjunction with its companion GitHub repo https://github.com/differential-machine-learning, where we posted a TensorFlow implementation, tested on Google Colab, along with examples from the article and additional ones. We also posted appendices covering many practical implementation details not covered in the paper, mathematical proofs, application to ML models besides neural networks and extensions necessary for a reliable implementation in production.




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A Reduced Basis Method For Fractional Diffusion Operators II. (arXiv:2005.03574v1 [math.NA])

We present a novel numerical scheme to approximate the solution map $smapsto u(s) := mathcal{L}^{-s}f$ to partial differential equations involving fractional elliptic operators. Reinterpreting $mathcal{L}^{-s}$ as interpolation operator allows us to derive an integral representation of $u(s)$ which includes solutions to parametrized reaction-diffusion problems. We propose a reduced basis strategy on top of a finite element method to approximate its integrand. Unlike prior works, we deduce the choice of snapshots for the reduced basis procedure analytically. Avoiding further discretization, the integral is interpreted in a spectral setting to evaluate the surrogate directly. Its computation boils down to a matrix approximation $L$ of the operator whose inverse is projected to a low-dimensional space, where explicit diagonalization is feasible. The universal character of the underlying $s$-independent reduced space allows the approximation of $(u(s))_{sin(0,1)}$ in its entirety. We prove exponential convergence rates and confirm the analysis with a variety of numerical examples.

Further improvements are proposed in the second part of this investigation to avoid inversion of $L$. Instead, we directly project the matrix to the reduced space, where its negative fractional power is evaluated. A numerical comparison with the predecessor highlights its competitive performance.




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Subtle Sensing: Detecting Differences in the Flexibility of Virtually Simulated Molecular Objects. (arXiv:2005.03503v1 [cs.HC])

During VR demos we have performed over last few years, many participants (in the absence of any haptic feedback) have commented on their perceived ability to 'feel' differences between simulated molecular objects. The mechanisms for such 'feeling' are not entirely clear: observing from outside VR, one can see that there is nothing physical for participants to 'feel'. Here we outline exploratory user studies designed to evaluate the extent to which participants can distinguish quantitative differences in the flexibility of VR-simulated molecular objects. The results suggest that an individual's capacity to detect differences in molecular flexibility is enhanced when they can interact with and manipulate the molecules, as opposed to merely observing the same interaction. Building on these results, we intend to carry out further studies investigating humans' ability to sense quantitative properties of VR simulations without haptic technology.




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Algorithmic Averaging for Studying Periodic Orbits of Planar Differential Systems. (arXiv:2005.03487v1 [cs.SC])

One of the main open problems in the qualitative theory of real planar differential systems is the study of limit cycles. In this article, we present an algorithmic approach for detecting how many limit cycles can bifurcate from the periodic orbits of a given polynomial differential center when it is perturbed inside a class of polynomial differential systems via the averaging method. We propose four symbolic algorithms to implement the averaging method. The first algorithm is based on the change of polar coordinates that allows one to transform a considered differential system to the normal form of averaging. The second algorithm is used to derive the solutions of certain differential systems associated to the unperturbed term of the normal of averaging. The third algorithm exploits the partial Bell polynomials and allows one to compute the integral formula of the averaged functions at any order. The last algorithm is based on the aforementioned algorithms and determines the exact expressions of the averaged functions for the considered differential systems. The implementation of our algorithms is discussed and evaluated using several examples. The experimental results have extended the existing relevant results for certain classes of differential systems.




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DMCP: Differentiable Markov Channel Pruning for Neural Networks. (arXiv:2005.03354v1 [cs.CV])

Recent works imply that the channel pruning can be regarded as searching optimal sub-structure from unpruned networks.

However, existing works based on this observation require training and evaluating a large number of structures, which limits their application.

In this paper, we propose a novel differentiable method for channel pruning, named Differentiable Markov Channel Pruning (DMCP), to efficiently search the optimal sub-structure.

Our method is differentiable and can be directly optimized by gradient descent with respect to standard task loss and budget regularization (e.g. FLOPs constraint).

In DMCP, we model the channel pruning as a Markov process, in which each state represents for retaining the corresponding channel during pruning, and transitions between states denote the pruning process.

In the end, our method is able to implicitly select the proper number of channels in each layer by the Markov process with optimized transitions. To validate the effectiveness of our method, we perform extensive experiments on Imagenet with ResNet and MobilenetV2.

Results show our method can achieve consistent improvement than state-of-the-art pruning methods in various FLOPs settings. The code is available at https://github.com/zx55/dmcp




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Near-optimal Detector for SWIPT-enabled Differential DF Relay Networks with SER Analysis. (arXiv:2005.03096v1 [cs.IT])

In this paper, we analyze the symbol error rate (SER) performance of the simultaneous wireless information and power transfer (SWIPT) enabled three-node differential decode-and-forward (DDF) relay networks, which adopt the power splitting (PS) protocol at the relay. The use of non-coherent differential modulation eliminates the need for sending training symbols to estimate the instantaneous channel state informations (CSIs) at all network nodes, and therefore improves the power efficiency, as compared with the coherent modulation. However, performance analysis results are not yet available for the state-of-the-art detectors such as the approximate maximum-likelihood detector. Existing works rely on Monte-Carlo simulation to show that there exists an optimal PS ratio that minimizes the overall SER. In this work, we propose a near-optimal detector with linear complexity with respect to the modulation size. We derive an accurate approximate SER expression, based on which the optimal PS ratio can be accurately estimated without requiring any Monte-Carlo simulation.




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Retired Soccer Star Briana Scurry: "This Has Been the Most Difficult Thing"

"The penalty kicks, the final goals in the Olympics, playing in front of the president, in front of 90,000 people ... that is what I was born to do ... and my brain is what I used to get myself there."




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A Different Approach to Coding With React Hooks

React Hooks, introduced in React 16.8, present us with a fundamentally new approach to coding. Some may think of them as a replacement for lifecycles or classes, however, that would be wrong. Like trying to translate a word from another language, sometimes you’re facing a completely new entity, which seems identical on the surface but is very different semantically and can’t be treated as equivalent. 

React not only changed the approach from OOP to Functional. The method of rendering has changed in principle. React is now fully built on functions instead of classes. And this has to be understood on a conceptual level. 




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Compounds and methods useful for directing stem cell differentiation

The presently-disclosed subject matter relates to compounds of the formula: and methods for use thereof. The presently-disclosed subject matter relates methods of selectively differentiating a stem cell, and methods of screening for compounds useful for enhancing terminal differentiation of committed cardiac progenitor cells.




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Process for cyclopentadiene substitution with groups differing from each other

Polysubstituted cyclopentadiene compound wherein at least two different substituents are present from the group consisting of linear, branched and cyclic alkyls, aralkyls and alkenyls, and a process for the preparation of a cyclopentadiene compound substituted with at least two different groups chosen from the group consisting of linear, branched, cyclic and aromatic alkyls and alkenyls, characterized in that it comprises the reacting of a halide of a first substituting group in a mixture of the cyclopentadiene compound and an aqueous solution of a base, in which the quantity of the base relative to the cyclopentadiene compound is between 5 and 30 mol/mol, in the presence of a phase transfer catalyst, followed by the addition of a halide of a second or optionally a third substituting group to the reaction mixture.




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Accessing model specific registers (MSR) with different sets of distinct microinstructions for instructions of different instruction set architecture (ISA)

A microprocessor capable of running both x86 instruction set architecture (ISA) machine language programs and Advanced RISC Machines (ARM) ISA machine language programs. The microprocessor includes a mode indicator that indicates whether the microprocessor is currently fetching instructions of an x86 ISA or ARM ISA machine language program. The microprocessor also includes a plurality of model-specific registers (MSRs) that control aspects of the operation of the microprocessor. When the mode indicator indicates the microprocessor is currently fetching x86 ISA machine language program instructions, each of the plurality of MSRs is accessible via an x86 ISA RDMSR/WRMSR instruction that specifies an address of the MSR. When the mode indicator indicates the microprocessor is currently fetching ARM ISA machine language program instructions, each of the plurality of MSRs is accessible via an ARM ISA MRRC/MCRR instruction that specifies the address of the MSR.




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Identifying differences between source codes of different versions of a software when each source code is organized using incorporated files

An aspect of the present invention identifies differences between source codes (e.g. of different versions of a software), when each source code is organized using incorporated files. In one embodiment, in response to receiving identifiers of a first and second source codes (each source code being organized as a corresponding set of code files), listings of the instructions in the first and second source codes are constructed. Each listing is constructed, for example, by replacing each incorporate statement in the source code with instructions stored in a corresponding one of code files. The differences between the first and second source codes are then found by comparing the constructed listings of instructions.




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Methods of splicing 2G rebco high temperature superconductors using partial micro-melting diffusion pressurized splicing by direct face-to-face contact of high temperature superconducting layers and recovering superconductivity by oxygenation annealing

Disclosed is a splicing method of two second-generation ReBCO high temperature superconductor coated conductors (2G ReBCO HTS CCs), in which, with stabilizing layers removed from the two strands of 2G ReBCO HTS CCs through chemical wet etching or plasma dry etching, surfaces of the two high temperature superconducting layers are brought into direct contact with each other and heated in a splicing furnace in a vacuum for micro-melting portions of the surfaces of the high temperature superconducting layers to permit inter-diffusion of ReBCO atoms such that the surfaces of the two superconducting layers can be spliced to each other and oxygenation annealing for recovery of superconductivity which was lost during splicing.




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Method and apparatus for processing audio frames to transition between different codecs

A method (700, 800) and apparatus (100, 200) processes audio frames to transition between different codecs. The method can include producing (720), using a first coding method, a first frame of coded output audio samples by coding a first audio frame in a sequence of frames. The method can include forming (730) an overlap-add portion of the first frame using the first coding method. The method can include generating (740) a combination first frame of coded audio samples based on combining the first frame of coded output audio samples with the overlap-add portion of the first frame. The method can include initializing (760) a state of a second coding method based on the combination first frame of coded audio samples. The method can include constructing (770) an output signal based on the initialized state of the second coding method.




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Messaging response system providing translation and conversion written language into different spoken language

A messaging response system is disclosed wherein a service providing system provides services to users via messaging communications. In accordance with an exemplary embodiment of the present invention, multiple respondents servicing users through messaging communications may appear to simultaneously use a common “screen name” identifier.




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Centrifuge with vacuum pump configured of auxiliary vacuum pump and oil diffusion pump

A centrifuge includes a vacuum pump machine configured of an auxiliary vacuum pump and an oil diffusion pump for exhausting gas inside a rotary chamber to outside, in which a rotor rotates at high speed. In the centrifuge, a thermistor for detecting a temperature of oil and an oil surface inside a boiler of the oil diffusion pump is provided inside the boiler, and power of a heater is adjusted with the temperature detected by the thermistor, so that a degree of vacuum inside the rotary chamber is stably reduced from atmospheric pressure to a high vacuum state. Besides, when the heater does not heat, a current is carried through the thermistor for self-heating, and it is determined from variation in a resistance value whether the oil exists or not at a position at which the thermistor 8 is placed.




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Transmissive diffraction grating and detection apparatus

A transmissive diffraction grating includes a polarization conversion layer, a first diffractive layer disposed on one surface side of the polarization conversion layer, and a second diffractive layer disposed on the other surface side of the polarization conversion layer. Both the first diffractive layer and the second diffractive layer include refractive index modulation structures arranged with a period P in a first direction, and diffraction efficiency for a TE polarized light component is higher than a diffraction efficiency for a TM polarized light component.