A Pan Pan message from Maritime Radio was heard on VHF channel 16 on Tuesday night while both of the Coastguard Mana rescue boats were already out on the water training.
There had been reports of a flare sighting South of Kapiti Island from Raumati South. Shortly after receiving the Pan Pan call both rescue vessel crews sighted a green light arcing up into the sky and then coming down before 'burning out' just before the horizon. Search procedures were activated and then we notified Police and Maritime Radio that we are on standby. Police activated a search and Trust Porirua Rescue proceeded out to sea on a straight line search. CRV Pelorus was observing from Tokaapapa Reef.
At 21:15 police advised multiple events on light sightings in the sky from Waverley to Wellington. Vessels and crews stood down.


1. Weekly winners will be announced every Monday.
2. Winners will be chosen based on the highest accumulated points each week.
3. Leaderboard points will be refreshed every Monday at 12AM.
4. Winners will be contacted by Kidxy after announcement on every Monday, through email.


text:
<ion-view title="Login">
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                NGO Name
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                Funding for the Year
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            <button class="button button-block button-positive">
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                Cancel
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redpajama_set_name: RedPajamaGithub


Suddenly, I saw the handle starting to turn.
After a quick double knock, I opened up. There was a tall boy in front of me. He looked 12 or 13 and wore a big smile. Behind him, at the base of the stairs, his mom continued to coach him through.
We had almost 200 excited kids at the door last night as we handed out Halloween candy. My favourite was this trick-or-treater who almost walked right in.
I like earnest, smiling people, so both he and his Mom won me over right away. I also love how Halloween gives parents and neighbours an opportunity to teach kids community skills like: knocking, greeting, chatting, generosity, respecting property, saying thank you and showing appreciation.
Last year, I had to tell my youngest not to ask for different candy than what he was given. So there are always things I take for granted that have to be learned. And there are always other unexpected things that happen too. I like playing my part in the whole thing. We're in a busy family neighbourhood near the local school, so things get hoping around 6:00 pm and go strong for about 90 minutes.
Last night, I was the one handing out the candy. I don't try to hurry through the trick-or-treaters at the door, but we have over 150 kids every year, so I expect it to be busy.
This year, my favourite trick-or-treater was that older boy who almost walked right into the house without knocking. He wore a big smile and presented some developmental delays. He mentioned how much he loved the giant skull on the door, how scary it was, how it moved and looked alive!
It's just the sort of reaction and experience we hope for when we pick out Halloween decorations and dress our house for the night. So when he wanted to talk about it, to really appreciate it, even though his mom gently urged him to hurry up because kids were lining up behind him, I wanted to stay in the moment with him, to let him finish talking about the skull.
When someone is fully in the moment as he was tonight, when they're in the NOW like that, it's an open door. It's just an awareness and a choice in that moment. I can ignore it and busily brush it aside as I've done with so many things in my life, so many times before, or I can take the moment, settle into it, and have a deeper experience.
It's not a big thing. It's a small thing.
Steve said he remembered the same boy coming to our door last year too. He remembered because the boy loved our giant motion-sensor spider that year, how it crawled up and down the brick wall when trick-or-treaters walked up. It's not a big thing. It's a small thing. But he's one of few trick-or-treaters we remember clearly year after year: the boy who so readily appreciates what's right in front of him.
After that, I made sure to appreciate something special about every child's costume or make up. It's something I like to do anyway, but our joyful trick-or-treater reminded me how good it feels to have someone notice and enjoy or appreciate something special and specific about you in the moment.
That's not a small thing. It's a big thing.
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text:
Home > Orthopaedic Service
What is Total Hip Replacement? Total hip replacement (THR) is reserved for animals that have painful conditions of the hip joint that have proved unresponsive to conventional surgical techniques or conservative management…
What is total elbow replacement? Total elbow replacement (TER) is reserved for animals that have painful conditions of the elbow joint that have proved unresponsive to conventional surgical techniques or…
Conservative management of hip dysplasia: Physiotherapy has an important role in the management of hip dysplasia. Whilst hip dysplasia is a progressive disease, the condition can be affected by external factors. The…
Elbow dysplasia is the term used to describe a developmental abnormality in the elbow joint which involves a complex structure of three bones. If the three bones do not fit together…
Rehabilitation of Cranial Cruciate Ligament Disease Cranial cruciate ligament disease may be treated either conservatively or surgically. The decision to treat your dog's cranial cruciate ligament disease with conservative or surgical management…
The radial endoprosthesis is a limb sparing surgery that replaces a section of bone affected by a bone tumour to prevent the need for full limb amputation. The endoprosthesis completely…
Total knee replacement is used to treat end-stage disease of the knee joint with the hope of restoring pain-free function. What is total knee replacement? Total knee replacement involves cutting…
The tibial endoprosthesis is a limb sparing surgery that replaces a section of bone affected by a bone tumour to prevent the need for full limb amputation. The endoprosthesis completely…
What is an amputation prosthesis (PerFiTS)? A PerFiTS is a uniquely designed prosthetic implant incorporating an endoprosthesis and exoprosthesis, which avoids full-limb amputation in cases of limb malformation, tumour or trauma to provide your dog…
What is Total Knee Replacement? Total knee replacement involves cutting out the whole of the diseased knee joint and replacing this with a prosthetic joint, the surgery is very similar…
What is total shoulder replacement? Total shoulder replacement is an advanced surgical procedure and should only be performed by experienced orthopaedic surgeons. It involves cutting out the whole of the…
Limb sparing surgery reduces the need for full amputation of a limb in the presence of a tumour, deformity or major trauma, and allows the animal to retain normal function…
We are always looking to strengthen our team with skilled, dedicated and passionate professionals.
Visit our recruitment page
Featured specialist
Orthopaedic and Neurology Surgical Auxiliary Team

redpajama_set_name: RedPajamaCommonCrawl


Comments: Site WFSR2: Grab Sample from main stem of Warm Fork Spring River; immediately upstream from Thayer WWTF Outfall 001.
Comments: Site WFSR3: Grab Sample from main stem of Warm Fork Spring River at Warm Fork Spring River Park; app. 75 meters downstream from the Highway 63 Bridge and immediately upstream from mouth of Two-Mile Creek.
Comments: Site WFSR1: Grab Sample from main stem of Warm Fork Spring River at County Road 268 Bridge.
Comments: Grab, Outfall #001. Collected below effluent flume.


As long as I can remember, I have either been putting something together, or taking it apart to see how it went together.
Similar situation here. I'm still logged in, but when I try to look at my drafts or settings it keeps sending me back to the home page. I just closed my browser and reopened and nothing's changed. I'll try logging out and see if I can just take over someone else's account. I'm joking of course, but please fix.
Exactly what I've been looking for to heat my moka pot.
It was nice before people knew about them and you could get them for free. Now the shops charge for them. Oh well. Time marches on.
I got a big bag of these things a while back and got tired of them sticking to the pan so I just wrapped them in bacon. Problem solved.
Grant Thompson stole his entire schtick from Kipkay. I'd be surprised if anything he has done is original to him.
This is what Instructables is all about. Conceive. Create. Test. Improve. Repeat. Excellent Job!
Unless your teak is rough, you shouldn't need to sand. But if it is rough, it's best to clean first and then sand, after it's thoroughly dry. Then apply oil. The pre cleaned teak could gunk up your sandpaper.
In Step 4: Marking the Rabbets, You use one piece of wood to mark another piece of wood and then use that marked piece to set your stops. This leaves room for error. You can just use the wood itself to set your stops and reduce your chance for error. Also, using a knife to make your mark is much more accurate than a pen or pencil. Otherwise, Great 'Ible.
So Alton get's the credit since he put it up on the teevee right? got it.
Anneal the steel before you cut out the profile. It makes cutting and grinding a lot easier.
Beautiful knife. But if you anneal the steel before you cut out the profile. It makes cutting and grinding a lot easier.
This may sound pedantic, but what is the purpose of moving three at a time? Would it more (or less) of a challenge to move one piece at a time?
If I could just offer one simple tip. Put a center line on the edge of the wood before you start to grind. It's really easy to do, just use a sharp pencil and your finger tip as a depth gage to mark a line down the middle.
I don't see where you used the ruler to reinforce the handle.
I hate to be the one to do this but I read the comments and no one else did so here goes.You're is the contraction of the two words You Are. As in "You're about to do a video on ear gauges."The word you should be using is the possessive, Your. As in, "Is this your ear gauge laying on the floor?"
I don't care what biased "experts" say. Ear candles work. I've used them many times and they are not dangerous. It's simple physics. The reason you have contrary "reports" from medical practitioners is simple, Ear Candles cut into their business and render their expensive equipment and training unnecessary.
The leaning frame makes it stable.
That would only work until you pierce the glass. Then all the water would drain out.
That "vinegaroon" technique is used on wood also. It never occurred to me to use it on leather. But it make sense.


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Rep. Earl Blumenauer, D-Ore. (Cliff Owen, Associated Press file)
Oregon Rep. Blumenauer disputes report that medical marijuana state protection amendment got nixed
Published: Jun 29, 2017, 11:09 am • Updated: Jun 29, 2017, 6:32 pm
By The Cannabist Staff
How does a bill become a law? The classic Schoolhouse Rock Question degenerated over the last 24 hours into the latest spat between opposing sides of the medical marijuana debate.
Related: Medical marijuana, hemp protections included in federal spending bill
Wednesday evening, anti-marijuana legalization organization Smart Approaches to Marijuana (SAM) sent out a press release announcing what they called "great news":
The Rohrabacher-Farr language was eliminated from the Commerce, Justice, Science bill that funds the Department of Justice, even though it had previously been included in the 2017 base text. In addition, the Financial Services bill retained language preventing Washington, DC from implementing full retail sales and commercialization of recreational marijuana.
The $1 trillion omnibus bill passed by Congress in May included an amendment previously known as "Rohrabacher-Farr," now sponsored by Rep. Earl Blumenauer (D-Ore.) and Dana Rohrabacher (R-Calif.), that prevents the Justice Department from using funds to interfere with the implementation of medical marijuana laws in U.S. states and territories.
Blumenauer said SAM's analysis of the amendment's status was flawed, in a press release Wednesday evening: "The folks at SAM clearly don't understand the legislative process. Our amendment has never been in the CJS Subcommittee's bill."
Watch: Rep. Earl Blumenauer delivers the Cannabis State of the Union 2018
Trump is backing off the marijuana fight. Jeff Sessions has not.
Trump says he'll support protections for legal marijuana. Here's what politicians and cannabis insiders are saying.
Blumenauer's statement clarified, "There is no news here. We are exactly where we thought we would be in the legislative process and look forward to amending the underlying bill once again this year to make sure medical marijuana programs, and the patients who rely on them, are protected. Voters in states across the country have acted to legalize medical marijuana. Congress should not act against the will of the people who elected us."
Then the Oregon congressman took the battle to social media, tipping his hat to Tom Angell of advocacy group Marijuana Majority, who was the first to question SAM's statement:
.@kevinsabet @learnaboutsam show extreme ignorance of how Congress works. This amendment is never in base bill; always added with amendment. pic.twitter.com/yMcpxPhvQy
— Tom Angell (@tomangell) June 28, 2017
SAM's complete misrepresentation of the legislative process is entirely consistent with their repeated falsehoods about marijuana ….
— Earl Blumenauer (@repblumenauer) June 29, 2017
SAM's CEO Kevin Sabet fired back with a release Thursday morning calling Blumenauer and Rohrabacher "two Members of Congress funded by illegal marijuana operations selling pot candies to kids" who "like the fox and the sour grapes… changed their tune once they didn't get what they wanted."
In April, the two congressmen had sent a letter to the House CJS committee chiefs requesting language protecting medical marijuana states be included in the base appropriations bill for the first time, based on its successful inclusion as an amendment since 2014. It was co-signed by 42 other members of the House.
In an email statement sent to The Cannabist Thursday afternoon, Blumenauer said he wasn't surprised by SAM's "complete misrepresentation" of the legislative process and that it was "entirely consistent with its repeated falsehoods about marijuana."
"SAM claimed a false victory, and instead of correcting the record, it doubled down," he said in the statement.
SAM also stated via Twitter Thursday that they believe Angell wrote the press release issued by Blumenauer.
Yes they "back it" bc Angell (representing Big Pot who funds these two) probably wrote it!
More in the AM…
— SAM (@learnaboutsam) June 29, 2017
Angell disputed the claim:
I'm flattered our opponents think I write press statements for members of Congress, but no.
Meanwhile, more light shed on their ignorance. https://t.co/aSvwsQc5gz
The Consolidated Appropriations Act of 2017 also includes provisions that restrict the Drug Enforcement Administration and Department of Justice from using federal funds to prohibit the transportation, processing and sale of industrial hemp as outlined in the 2014 Farm Bill.
A similar amendment protecting state-based recreational marijuana laws was previously sponsored by Rep. Jared Polis, D-Colorado. He told The Cannabist he will back the inclusion of the so-called McClintock-Polis amendment in the coming fiscal year's spending bill.
In case you want to get this song stuck in your head:
Topics: Department of Justice, Earl Blumenauer, kevin sabet, Oregon, Rohrabacher-Blumenauer Medical Marijuana Amendment, Smart Approaches to Marijuana (SAM), states rights


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Triad Underworld
When Triad leader Hung's wife gives birth to a baby boy, Hung considers leaving the world of the gangsters. Despite the fact that he is not sure of his decision, word gets out fast and now, a brutal war begins in the world of "jiang-hu". Two hoodlums, Wing and Turbo, set to make a name for themselves, are ordered to kill Hung. Meanwhile, an internal conflict begins between Hung and his #1 man, Left-Hand. Despite this conflict, the two have nothing but respect for each other. However, they know deep down, that there are people waiting to get rid of Hung.
Ching-Po Wong
Andy Lau, Jacky Cheung, Shawn Yue
Cantonese, Chinese, English
Movies > World Cinema
Movies > War & Action
The Mission 84 mins When someone attempts to take out a mob boss named Mr. Lung, his brother Frank (Simon Yam) puts together a team of five bodyguards to…
Election 101 mins Every two years the senior members of the Wo Shing Triad, the oldest gang in Hong Kong, elect an up-and-coming younger boss as their chairman.…
Mr. Six - Lao pao er 137 mins For decades, crime kingpin Mr. Six has run the Beijing streets with an iron fist. When Mr. Six discovers that his son, Xiaobo, is involved…
Mr. Six - Lao pao er
Divergence 102 mins Three men with seemingly nothing in common--a loser cop whose fiancee is missing, a wayward assassin who always crosses the line and a lawyer who…
Graveyard Of Honor - Shin Jingi no Hakaba 132 mins Rikuo Ishimatsu is a lowly dishwasher who unknowingly saves the life of a Yakuza Oyabun (Boss) and quickly rises to a position of power in…
Graveyard Of Honor - Shin Jingi no Hakaba
Nameless Gangster 134 mins On the verge of being laid off, corrupt customs officer Choi Ik-hyun finds a methamphetamine shipment. His life turns around when he partners with the…
Bloody Tie 118 mins In this uncompromising vision of the gritty Korean underworld, a crystal meth dealer with a tragic past is forced to team up with a renegade…
Bloody Tie
Heroic Duo
Black Sun - 1937 Nanking Massacre
The Eagle Shooting Heroes
All Channel Films
Digital Media Rights
Ab-Normal Beauty (Sei mong se jun)
The Personals - Zheng hun qi shi
Shuttle Life - Fen bei ren sheng
Gravitas Ventures LLC
Prince Of The Himalayas


text:
Q: C# HtmlTags library under asp core doesn't work for me I want to use the C# HtmlTags in my asp core project. I want to build a custom tag for my login.
Instead of writing this in my razor view all the time:

    Email address:
    <input type="email" class="form-control" id="email">

I want to define this in my HelperClass:
    public static HtmlTag Login<T>(this IHtmlHelper<T> htmlHelper,
        Expression<Func<T, object>> expression,
        Action<HtmlTag> inputModifier = null)
    {
        inputModifier = inputModifier ?? (_ => { });
        var div = new HtmlTag("div");
        div.AddClass("form-control");
        var lbl = htmlHelper.LabelFor(expression);
        div.Append(lbl);
        return div;
    }

LabelFor(expression) returns the type IHtmlContent but the Append-methods needs the HtmlTag type. I can't convert it and that's why I am stuck.
I use HtmlTags.AspNetCore 4.2.0

A: You are using the built in HtmlHelper, you should change to the HtmlTags.Label method:
public static HtmlTag Login<T>(this IHtmlHelper<T> htmlHelper,
    Expression<Func<T, object>> expression,
    Action<HtmlTag> inputModifier = null)
{
    inputModifier = inputModifier ?? (_ => { });
    var div = new HtmlTag("div");
    div.AddClass("form-control");
    var lbl = htmlHelper.Label(expression);
    div.Append(lbl);
    return div;
}

A: Instead of Adding an HtmlTag, add a string with HTML:
public static string GetString(IHtmlContent content)
{
    var writer = new StringWriter();
    content.WriteTo(writer, HtmlEncoder.Default);
    return writer.ToString();
}

and add the result to the tag, like so:
tag.AppendHtml

redpajama_set_name: RedPajamaStackExchange


I decided to be an Obstetrician Gynecologist after completing my clinical rotation in medical school. The specialty offered to me the perfect mix of medical care and surgery and I could not think of anything more rewarding than helping women to have healthy pregnancies and build families. While completing residency at Weil-Cornell Medical Center, I realized that there are a number of women who unfortunately have difficulty conceiving and the field of reproductive medicine was finally able to offer treatment and hope to those who previously did not have any. I decided to become a reproductive endocrinologist as I viewed this as the highest impact, life altering and hopeful subspecialty in the field of gynecology.
Weill Cornell has a premier reproductive endocrinology division and its IVF center was one of the largest and most successful programs in which to learn. I elected to continue my training there after residency to acquire the skills and knowledge required to work in this field.
As a fertility specialist I get to work with couples at various stages in their life, but the goal of our interventions is to help those couples build their future through realizing their dreams to have or to grow their family. Since raising a child is the most rewarding and important part of a person's life, I view my work as having a tremendous impact in people's lives.
What's your favorite part about your daily work?
Working with a team of highly dedicated and motivated individuals whose focus is to improve our outcomes in providing fertility care and to make the process for patients going through it as stress free as possible.
As molecular biology techniques improve, we have the unique ability to offer enhanced diagnostics in infertility treatment and to optimize our outcomes by selecting the healthiest embryo which is most likely to result in pregnancy. We also are finally are able to offer clinically applicable methods for fertility preservation for women which is an exciting development for those who want to delay childbearing or who are at risk of losing their ovarian function due to another disease process.
I enjoy spending my free time with my own family. My husband and I have two teenage children. We are all involved in both winter and summer sports (skiing, snowboarding, watersports) which gives us a healthy way to spend quality time together. Our two dogs are frequent participants and add to the fun. I also enjoy more solitary activities like reading and needlepoint.


Sometimes I write in silence but most of the time, I listen to music. Songs with vocals and actual words tend to be more difficult to write to, but it depends on how I'm feeling. My list here contains a good mix of albums that I turn to often when I'm writing. Some have been with me for years, others just weeks. Try them out. Pick your favourites.
This is a noisy mash up of various songs, samples and sounds. It should be impossible to get anything done while listening to this racket, but somehow it works. The constant upbeat tempo keeps me going. It is musical coffee.
A fine friend bought this album for me during my first few weeks at university in 1999. It is very mellow and almost entirely instrumental. I believe they call this sort of thing chill-out music. Or they did in the 90s. I have no idea.
Another noisy, slightly shouty album that I love, whether I'm writing or just going about my business. Its tempo and drama have a hypnotic effect that seems to power me along and help get words on the page.
I know very little about this album, other than its sparse piano pieces drift by and soothe my brain when I'm trying to concentrate. It is, at its core, plinky-plonky background music. And that's just fine.
A beautiful album that, despite its marvellous vocals, I am able to listen to and still get stuff done. I feel like it's been on in our house non-stop for about 18 months. Recommended, whether it helps you write or not.
Yes, it's the soundtrack to an iOS game. Yes, it's weird and if you stop and listen intently, you might feel like you're about to fall off the edge of the earth. Yes, it's perfect background music while you're typing like a loon.
My old pal. Even though this album is full of beautiful lyrics and fantastic, acoustic songsmithery that might seem distracting, I find it quite the opposite. I wrote most of my first novel with it firmly in my earholes.
Most Four Tet albums are great for writing to. This is fairly new to me and it's the one I'm listening to a lot at the moment. It is good, old-fashioned, electro-chilly music with good melodies and no major distractions. I really like it.
I loved alt-J's first album and this follow-up is equally fantastic. It has a sound and rhythm that keeps the mind busy, but doesn't get in the way. The singer sounds like a frog drinking melted butter, which somehow rather helps me focus.
A film soundtrack this time and more excellent background music, especially if you're writing a particularly tense or crucial scene, where what you need is to feel like every single word could be your very last. Feel the drama.
And that's my list. What do you think? I'm always on the lookout for more music that's good for writing to, so feel free to send me recommendations in the comments or on Twitter.
I really struggle with most things that have lyrics, but when I'm feeling like a slow piece of music for the background then Sigur Rós never ever goes wrong. I also found that the Hunger Games soundtrack and most of Lorde works very well for me. Great post idea by the way!
Sigur Rós is a great shout. I like Lorde's album but it's a bot too wordy and catchy for me to stay focused!
Sia is also good, but ideally I want to skip the hits..


Find a Drug and Alcohol Rehabilitation Program near me in Hazleton, IA.
Drug Rehabilitation Programs in Hazleton, IA.
Intervening to help someone get into treatment when they are using drugs and/or alcohol is one thing that could ultimately save their life. So loved ones and friends should know that there is an extremely effective and proven strategy to intervene, that's through an actual drug or alcohol intervention in Hazleton, Iowa that can be started when the problem is known about. Once someone refuses help, it truly lies in the hands of loved ones to do something because at this point it is really out of the individual's control no matter how much they really wish to stop their addiction. So speak to an alcohol and drug treatment professional in a quality drug and alcohol rehab program in Hazleton, IA., and they can advise family members regarding the easiest method to hold an intervention based off of the addicted individual's current circumstances. It is often recommended that participants be assisted through an intervention in Hazleton, Iowa with the help of an experienced interventionist, however a successful intervention is by all means possible without one also.
So what is a good alcohol and drug rehabilitation program in Hazleton? The drug treatment facilities in Hazleton, Iowa which don't just offer quick fixes but lasting results are those that are more time intensive and provide the person the environment that can help them concentrate on rehab. Inpatient and residential drug and alcohol rehabilitation programs which deliver treatment for 4 months to 6 months provide these benefits, whilst ensuring clients don't have any access to drugs or alcohol whenever they experience cravings to use which is very common particularly throughout the beginning stages of rehab. Being in this kind of environment with enough time to be able to focus on what triggered one's may seem like a luxury but drug treatment in Hazleton is not any vacation. It's a lifesaving opportunity and one which is worth every sacrifice it will take to get someone there.
Household and Income Statistics in: Hazleton, IA.
Behavioral Services LLC is a Drug and Alcohol Rehab, Outpatient Drug Rehab Program that can be reached at 319-283-1991. They specialize in Dui/Dwi Offenders and accept the following forms of payment: Self Payment, Medicaid, State Financed Insurance, Private Insurance.
They are located at 105 North Main Street Hazleton, IA. 50641.


Who Should You Be Keeping in Your Life?
Sometimes I need something new on the blog and I don't often get offers to share guest posts about anything new like health, fitness or self care (although I'm writing more of that now). Here I have Alicia from The Happy Hippie, she is a easy going, happy, healthy person and I wanted to feature her here on the blog. She reached out to me after I asked for guest posts in the Blog & Biz BFFs Facebook Group. I'm excited to see what she has for us today and I hope she becomes a new friend here and you all can go follow her and subscribe to her blog.
This quote speaks to me in a lot of different ways. I try to always be the best version of myself that I can possibly be and I try to surround myself with those who bring out that side of me. In my 21 years of life, I have found some amazing people who do just this. I have also found people who have brought out the worst of me, those people are no longer in my life because that is a version of myself I never want to see again. It is so important to take yourself out of toxic situations. How do you know if it is toxic? You might find yourself asking this question right about now.
This quote brings this word right out in the open. If someone who you think is someone important to you is just constantly stressing you out, they aren't actually bringing out the best version of you, they are bringing out the stressed version of you.
If you are always feeling negative around this person, or as if you are being brought down, leave. No one should ever make you feel bad about yourself. We are all unique human beings who deserve to feel empowered on a daily basis. No one should take this away from you. If they do, walk away.
If you are feeling as though you always need to impress someone, they probably aren't the right person for you to be spending your time with. You should be able to feel confident in who you are as a person. You are unique, which is something no one can take away from you.
Toxic people can secretly be making your life worse. You should feel confident and empowered around those who are put in your life to bring out the best in you. What does this kind of relationship look like?
No matter the relation to someone in your life, you should feel confident around them. You should be able to be yourself. They should love you as much as you love yourself. You shouldn't feel embarrassed or afraid. You should feel happy and confident.
I have talked about feeling empowered a lot, but what does this actually mean? This word can be taken in a lot of different contexts but I feel as though someone who empowers you, is someone who supports you and has confidence in whatever you are doing. These are some of the most positive people you can be around.
We are going to have bad days. Someone who brings out the best in you is going to support you, be a shoulder to cry on, give you advice, tell you the truth, even if it is not what you want to hear. These are the people you can depend on!
In a world of billions of people, it can be hard to find your people. But when you are trying to decide whether a person is meant to be in your life, take a look at this post. If they fit into any of the first three categories, they are probably better off not having the honor of being in your presence. But, if they fit into the bottom three, keep them around, they have to be pretty genuine to make such an impact in your life.
And never forget, positive vibes only!
Thanks for letting me feature you and show everyone about self love and how you can easily "cut the fat" so to speak. I think you have a great blog and we will be fast friends in no time! Until next time!
Now we've seen these posts everywhere right and they're somehow all different. One is geared towards being totally disconnected, one for being productive, spending more time with your kids and so on. This is a generalized one. So that is you're any kind of person this can be a useful list of ways to get off the social media frenzy for at least 30 mins. It's not entirely healthy to just sit and waste all your days on social media and it's not good on your self esteem usually either. Which makes me a hypocrite because I'm always on social media but hey, we always need a break. So I'm taking my own advice and I'll be applying these tips too!
Sometimes it's important to take a step back and reflect on what "real life" is. And I have a hard time with it because I've become so entrenched into social media and putting so much weight on it. I love to connect with you as friends, clients and just souls meeting for the first time and social media let's us all do that. But it's not the only way, so if you ever wanna email or send me snail mail just gimme a heads up and I'm all for it!
I hope these pointers for avoiding or taking time away from social media will help you stand alone and reflect on what other things you enjoy doing in life. Take every morning by the horns- each day is unique and genuinely all your own.


The Rebel Forces will be thrilled to learn that you are bringing additional recruits to battle the Dark Side. Time is of the essence. We must plan accordingly!
Before you do anything, be sure you have created a My Disney Experience Account. Link your resort hotel reservation to this account. When you make dining reservations or Fast Pass+ selections, those will also be linked to this account.
At 180 days prior to our trip, I have our dining reservations booked and know which park we will visit for each day. If you do not have a Park Hopper ticket, you will need to plan carefully to make sure your dining reservations are not in two different parks in the same day. Whatever you do, make dining reservations for character meals. These provide such an easy way for your boys to meet the characters.
You must make your Fast Pass+ selections 60 days in advance of your trip. Make those selections at 7:00 a.m. Eastern Standard Time on day 60. To prepare, I always sit down with my family a few days before day 60 to look over the attractions we want to prioritize. I then create a list of priority attractions for each park. Know that at some theme parks, rides are tiered and grouped. For example, on Pandora at Disney's Animal Kingdom theme park, we can make a Fast Pass+ selection for Avatar Flight of Passage OR Na'vi River Journey. Your remaining two Fast Pass+ selections would include other rides and attractions at Disney's Animal Kingdom.
Whatever you do, consider signing your young ones up for Jedi Training - Trials of the Temple at Disney's Hollywood Studios. Hurry, you must. Get to the park early. Peace we must have!


The import wine this month is another example of the availability of reasonable wines that are very good. It is surprising, considering they have traveled 6000 miles, at today's shipping costs and taxes. Best of all, along with the bargain feat¬ure is the opportunity to taste and evaluate wines that have different dimensions to them-from grapes we do not have in this country and from regions that we would normally consider obscure. It is a small world really.
I picked the California wine late last year, and I had given up hopes of featuring it because the distributor was running out fast. At the annual California Wine Festival in December, I spoke to the winemakers and asked if they had any left at the winery. "No we are out" was the an¬swer. Back to the distributor, who put a "hold" on a remaining portion for me, so I could still bring it to the members. For those of you whose prefer¬ences leans to white wines, please try this with an appropriate meal. It is bold, big and luscious, and might overwhelm you when served alone. It is a textbook example and worth your attention.
If you are ever able to schedule 3 days off in early December, you should try to attend the Calif-ornia Wine Festival. It is held annually in Mon¬terey and lasts 3 days. Lectures, panels, ex¬hibits, wine tastings. This year there were 89 wineries showing 338 wines!
What does mechanical engineering and wine have in common? Give up? A correct answer would be Bob Roudon and Jim Smith. These two engineers met in 1971 -and developed a friendship that led to a wine making venture. Their wives Annamaria and June lend support and talent to complete the team. Their winery is located in Santa Cruz. Bob Roudon is the self taught winemaker. He has a bent for avoiding over processing of wines, and concentrates on minimal handling and natural stabilization. Jim Smith handles the vineyard end of the business. In the early 70's they experimented with several var¬ieties and settled on specializing with three red wines and one white wine. I bring you their Petite Sirah. One of the most outstanding I have ever had. A masterpiece.
For some time, our California enologists have been predicting great things to come from the Petite Sirah grape - That time is upon us now. It was previously thought that the California Petite Sirah grape was the same as the Syrah of the Rhone Valley in France. (Of Cote Rotie, Hermitage, and Chateauneuf-du-Pape fame) This has been shown otherwise. It is traced to the Duriff grape of France. Both produce wines that can be intense in color, bold in aroma of black currants and pepper, with a mouth filling, burly, assertive taste. They can be harsh and rough when young, but mellow and silken on maturity. Prior to the 60's, wine made from California Petite Sirah was used for blending. It was a source of color and tannin. In the last twenty years our vintners have developed free standing varietals that show great breed and prom¬ise. Bob has used a Cote Rotie technique of blend¬ing some white wine with his Petite Sirah. He used 5% Chardonnay to soften and lighten.
The color is opaque deep purple red. The nose is a fragrant berry nose, with overtones of pepper. The taste is powerful. It has a full body, glycer¬inny texture, with good balance. Tannin is appar¬ent but not overpowering. It is long on its var¬ietal flavor. Serve at room temperature with roast or robust sauced meat dishes. Pasta with marinara sauce sounds good too.
The island of Sicily, (the football at the tip of the shoe of Italy) is our visit for tasting an import this month. Famous for the active volcano Mt. Etna on its east coast, the northwest portion of the island is crowned by the gulf of Castelmare, above the province of Trapani. Extensive vineyards exist here for producing a neutral white wine used as a base for making Italian Vermouth on the mainland. Attempts by local growers to estab¬lish their own appellation resulted in their own D.O.C. (Denominazione di Origine Controllata = Controlled Denomination of Origin) of Alcamo, which is the name of a town in the center of this growing region. Over the years the nature and quality of the wine has improved, and is now worth looking at more seriously. The Fiumefreddo winery in Alcamo made this particular cuvee and vintage of white Alcamo for the consortium of growers. Most export wines from this area are regionally labeled. There will be variations in quality from one producer to another.
White Alcamo is made from 80% or more Catarr¬atto grape, and not more than 20% of Trebbiano, Damaschino, and Grecanico. It is required by D.O.C. to have not less than 11.5% alcohol. Traditionally it is low in aroma, light, dry, crisp, but soft; an easy drinking light wine of low acidity.
Our Fiumfreddo Alcamo is faint light yellow in color. The nose has a low intensity fragrance that stays with you. If the wine warms up in your glass, it emits a vanilla aroma. The nose demon¬strates an assertive "sweetness", yet the wine is not sweet at all. Further, it has an "Italian" nose. (I will be picked on for this adjective). The wine has medium body, dry, with low acid but not flabby. Vanilla comes through in the taste in a dry way. It has a delicate lasting flavor. A buy for the price. Serve well chilled with green olive salad or olive hors d'oeuvres, light sauteed seafood entrees, or broiled lobster.
"Whew!!.. we got through the Holiday Season. I feel as though I have a "food hang-over", or what¬ever you want to call it. Our Christmas was exceptional this year and we are grateful our children could all be with us and share the joys of the season together. I hope you too had a warm and loving season.
Having this "food hang-over", it was difficult to get into a recipe mood this month. We have all been cooking up a storm, and I felt we needed some respite from this but still have a tasty concoction we could quickly assemble.
Very often on Sundays, while I was growing up, my mother would prepare a "Sunday" supper. She was a superb cook, but now and then, took time off. I wanted to share one of those ideas with you for this month's recipe.
4 green onions, chopped, greens included.


text:
Opius takomaanus är en stekelart som beskrevs av Fischer 1965. Opius takomaanus ingår i släktet Opius och familjen bracksteklar. Inga underarter finns listade i Catalogue of Life.

Källor

Bracksteklar
takomaanus

redpajama_set_name: RedPajamaWikipedia


Now is the Best Time to Buy or Sell a Home. Let's Talk.
I am a dedicated real estate professional here to serve the best interests of my clients. I specialize in helping people successfully buy and sell real estate in Mountain House, Tracy, Lathrop, Pleasanton, Livermore and Dublin. I pay close attention to my clients real estate wants and needs. I have great relationships with all of the local real estate agents, and have knowledge of listings before they hit the market.
Search the MLS, Set up alerts and more!
I can't speak highly enough regarding the service I received from Mike.
So many attributes, but probably at the top of the list is his integrity. From the first moment you meet him you will immediately get a sense that he is on your team-and is the team captain! He is extremely responsive and always willing to work with you on brain storming ideas or strategies. I was especially impressed to learn that he lives in Mountain Home and knows the area like the back of his hand. Look no further, for either a purchase or a sale, he's the best!
Mike is a great real estate professional.
He has a wealth of knowledge with the local market landscape. He is not too pushy and offers his recommendations. He will list the pros and cons for each to help you make the best decision. We are repeat clients and will not hesitate to work with him again. We have also have referred friends who he has successfully provided great service too.
I was really impressed with Mike Samawi.
He is a local Mountain House resident and understands the market trends /value of the homes. His excellent negotiating skills pulled through for us when we were competing with a cash buyer during bidding war. I never thought we would have a chance, but Mike pulled through for us. In addition to his professionalism, he is really a nice guy. He is sincere and thoughtful--he really cares about his clients. So if you're looking to sell or buy--don't hesitate and contact Mike Samawi!


The Dallas-Fort Worth Film Critics Association voted Moonlight as the best film of 2016. Results of the 23rd annual critics' poll were released December 13.
Rounding out the list of top 10 films of 2016 were Manchester by the Sea (2), La La Land (3), Hell or High Water (4), Arrival (5), Jackie (6), Loving (7), 20th Century Women (8), Hacksaw Ridge (9) and Silence (10).
For Best Actor, the association named Casey Affleck for Manchester by the Sea . Runners-up included Denzel Washington for Fences (2), Joel Edgerton for Loving(3), Ryan Gosling for La La Land (4) and Tom Hanks for Sully (5).
Natalie Portman was voted Best Actress for Jackie. Followed by Emma Stone for La La Land (2), Ruth Negga for (3), Amy Adams for Arrival (4) and Annette Bening for 20th Century Women (5).
Zootopia was named the best animated film of 2016, with Kubo and The Two Strings and Moana as runners-up. Kenneth Lonergan won the Best Screenplay award for Manchester by the Sea over Barry Jenkins for Moonlight.
The Dallas-Fort Worth Film Critics Association consists of 33 broadcast, print and online journalists from throughout North Texas. Follow us on Facebook or Twitter @dfwfilmcritics.


Think you've got a future Paperblanks® photo of the month? Make sure to tag it with a #Paperblanks hashtag and you could see it up on the blog at the beginning of November!
Next articleNew 2015 12-Month Dayplanners Available Now!


There was a lot of ducking and diving going on at the TRGG last week, what with it being the wettest few days in Thailand since Noah and his Ark. In fact by the end of the week Pattaya was officially declared a flood disaster zone. Despite all of this, somehow, the TRGG managed to play four golf competitions and none were adversely affected by the weather, quite amazing.
Carmen Hurdon & Rungratree Puangsal.
Personally, I put it down to us now having two ex-Scousers (gentlemen from Liverpool) in charge as Scousers are world renowned for their ducking and diving skills. That normally refers to ducking the attention of the local police and diving out of doing any work. So avoiding the odd torrential downpour comes as second nature to them.
The week got underway on Monday with a trip over to Emerald and the family Hurdon (Graham and Carmen) just carried on where they had left off the previous week in Hua Hin by cleaning up. The champion of Hua Hin, Graham, did the courteous thing and stepped aside today, allowing his wife to take top spot but he retained enough of the competitive instinct to relegate Derek Thororgood into third place after a count back.
On Tuesday it was off to play Phoenix (Mountain and Ocean). Under dark threatening skies a close battle developed between Irishman Joe Nagle, returning from a serious back injury, and John O'Donaghue, the giant Aussie bus driver from Newcastle (Aus. that is not Tyne and Wear). Mind you, with a name like O'Donaghue he has got have some Irish in him somewhere.
Joe just managed to get the better of John but only after a count back. Carmen Hurdon had to settle for third place on the day.
Now two weeks ago I was expressing my surprise at the low scores that won at Burapha and wondered if everyone was protecting their handicap prior to the Hua Hin trip. Well I was obviously right because on Wednesday the winning scores were back up into the stratosphere.
Carmen Hurdon rattled up 43 points to take first place and Joe Nagle (bad back and all) stormed home in second place with 40. Even Billy Allan, who finished third, knocked off 37 points. They are a devious lot these golfers.
We headed over to Mountain Shadow on Friday and after the previous day's bad weather we quite expected to be rowing round the course but no, we found it was in good condition. The only real problem was that the returning sun and the sodden ground produced sauna like conditions which certainly had an adverse effect on us old boys and we all struggled over the finish line. Even some of the younger guys admitted it had been hard work and the final scores reflected that.
It therefore came as no surprise that it was a local Thai, Rungratree Puangsal, who took the conditions in her stride and finished in first place. She was followed home by Al Marumoto, who I believe hales from Japan, and must have seen it all before. Third place was filled by westerner Billy Allan but he struggled to get to 29 points.
Good luck to all you golfers for the coming week and if you would like to play a round of golf with the TRGG, please phone Derek Thorogood on 080 673 3118 or pop into the Ned Kelly Bar in Soi Lengkee and add your name to the weekly lists which are posted on the notice board.


As a fair warning to the reader, these primers are a bit more terse than what you'd find in your average textbook. I only introduce the bare minimum required to understand the main content posts, so there are carefully chosen gaps whose exclusion is necessary for time's sake. If the reader is confused about something, or wants a deeper explanation of a concept we deliberately leave out, feel free to leave a comment asking about it and we will do our best to fill in the gaps.
I'm impressed. Good introductions to difficult topics. Especially I liked your article about psychodelic pictures or about search engines (Once I developed a search engine myself).
i love this post! thanks a lot!
Second, is it possible to get all the topics in one big pdf? what is your licensing on the content?
Well number theory and set theory are not particularly discrete in nature, at least as they occur in mathematics.
I don't have all the topics in one big pdf. The licensing on my blog is Creative Commons non-commercial, so you're welcome to assemble one and distribute it, as long as you give attribution and don't sell it.
would pomax.github.io/bezierinfo (primer on bezier curves) be a userful link here?
This looks like a very great and in-depth tutorial. I am coincidentally just finishing up my own (less detailed) Bezier curve tutorial! I'll be sure to link to this one in that post.
This is a wonderful blog! You have a fantastic writing style and I especially liked the graph theory post. I remember how much I struggled to explain the Seven Bridges of Konigsberg problem to my sister, and after reading your post about it I feel like exclaiming to the world the wonders of graph theory.
Brilliant! I love it — reminds me of Dijkstra!
Very interesting mathematics and solutions. Well done!
Love it. It reminds me university times! Thank you.
Other than that, I really like this blog, the content is absolutely AWESOME.
I included this website web page to our feed reader, exceptional things. Are not able to get enough!
Hello Jeremy, I've always liked your primers. Are you thinking of making any primer on Combinatory Logic?


August 14, 2002 (PLANSPONSOR.com) - Plan sponsors who do some of their own trading or who hire a professional to execute trades, may find DeepFeed a worthwhile acquisition.
According to a news release from FlexTrade Systems, its new product consolidates all bids and offers on the books of every major electronic communications network (ENC) with market maker quotes.
When they're setting up DeepFeed, the company said plan sponsors or other traders can customize a set of trading parameters and the prices they want to see when they get on the system.
sweeping of ECN books and identification of hidden orders by individual names and across portfolios.
Traders can also utilize DeepFeed to estimate slippage in real time based on value or size of order wave, and analyze trends and market direction for individual securities, by sector, portfolios, industry and other groupings, FlexTrade said.
The company said DeepFeed could prove appealing to quantitative traders who calculate market impact and other potential outcomes of pre-trade decisions.


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Battleship Bismarck
3.8/5 rating (110 votes)
The Bismarck was the most famous German battleship from the second world war. Construction began on July 1, 1936 in Hamburg, Germany. Construction was completed in August of 1940. It was the twin to another famous battleship, the tirpitz. The Bismarck conducted only one offensive operation before being sunk on may 27, 1941. The battleship had a length of 250.5 m, Width 36 m, and its crew consisted of nearly 100 officers and 2500 sailors. One June 8, 1989 at a Depth of 4, 750 meters, oceanographer Robert ballard found the wreckage of the ship. This new model from COBI is finely crafted 1; 300 scale and is made up of nearly 2, 000 blocks. Once completed it is an impressive 84.5 cm (33.2") in length. No detail was spared in creating the largest COBI set to date. It has many moving parts such as propellers, rudders, rotating towers and gun barrels, which can be raised and lowered. The set comes with a block stock stand with the pad-printed name of the ship emblazoned on it. Because of its size and complexity, the model is recommended for veteran collectors and experienced fans of blocks.
1, 974 high-quality blocks
Produced in the EU by a company with over 20-year tradition of producing quality construction blocks
1: 300 scale replica
Clear and intuitive instruction manual based on figures and icons
Fully compatible with other brands of construction blocks
BONUS CODE (WOWS PC VERSION) FOR ALL PLAYERS:
This code unlocks the following in-game goods:
3 Days of Premium Account
20x Damage Control Party II
To redeem your bonus code, please follow the steps below:
Go to the website: http://worldofwarships.eu
Click your nickname in the upper right-hand corner
Click 'Activate Wargaming Code' in the drop-down menu
Enter the code in the window and click 'Redeem' button
Run the game. Enjoy!
INVITE CODE (WOWS PC VERSION) TO SHARE WITH YOUR FRIENDS:
This code for new Wargaming account unlocks the following in-game goods:
Albany , American premium Tier II cruiser
Port slot
To redeem your invite code, please follow the steps below:
Go to http://invite.worldofwarships.com
Enter the code into the field
Click 'Activate' and follow the instruction
Catalog no: COBI-3081
Pieces: 1974
Scale: 1:300
10 June 2019 at 22:08	| #
I have the Bismarck kit, but I am missing several pieces. Who do I contact to get the pieces I need to complete the kit?
Kevin Lambert
il est identique au tirpitz ?
This ship is really awesome :-) Great work. Thanks Cobi-Team.


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55 out of 59 calls for SCHAEFFLER proved profitable, with an average profit of 2% within 3 trading days.
The following are the details of the last 30 calls given by us for (SCHAEFFLER).
1) We gave a BUY call for SCHAEFFLER on 5 Jan, 2021. The scrip opened at 4625.25 and rose to 4648.9 within next 3 trading days, giving an opportunity to book of profit of Rs.23.65 i.e. 0.51%.
2) We gave a BUY call for SCHAEFFLER on 30 Dec, 2020. The scrip opened at 4617 and rose to 4750 within next 3 trading days, giving an opportunity to book of profit of Rs.133 i.e. 2.88%.
3) We gave a BUY call for SCHAEFFLER on 6 Nov, 2020. The scrip opened at 3798 and rose to 3874.45 within next 3 trading days, giving an opportunity to book of profit of Rs.76.45 i.e. 2.01%.
4) On 11 Jun, 2020, we gave a SELL call for SCHAEFFLER. The scrip opened at 3550 and reached a low of 3400 within next 3 trading days, giving an opportunity to book of profit of Rs.150 i.e. 4.23%.
5) On 28 May, 2020, we gave a SELL call for SCHAEFFLER. The scrip opened at 3086.7 but did not fall as expected. However, it rose to 3294.35 before closing at 3213.8. Although we consider this as a rare Failed Call
6) We gave a BUY call for SCHAEFFLER on 12 May, 2020. The scrip opened at 3300 and rose to 3446 within next 3 trading days, giving an opportunity to book of profit of Rs.146 i.e. 4.42%.
7) On 7 May, 2020, we gave a SELL call for SCHAEFFLER. The scrip opened at 3341 and reached a low of 3270 within next 3 trading days, giving an opportunity to book of profit of Rs.71 i.e. 2.13%.
8) We gave a BUY call for SCHAEFFLER on 20 Apr, 2020. The scrip opened at 3588 and rose to 3600 within next 3 trading days, giving an opportunity to book of profit of Rs.12 i.e. 0.33%.
9) On 8 Apr, 2020, we gave a SELL call for SCHAEFFLER. The scrip opened at 3600 and reached a low of 3360 within next 3 trading days, giving an opportunity to book of profit of Rs.240 i.e. 6.67%.
10) On 17 Feb, 2020, we gave a SELL call for SCHAEFFLER. The scrip opened at 4480 and reached a low of 4364.2 within next 3 trading days, giving an opportunity to book of profit of Rs.115.8 i.e. 2.58%.
12) On 1 Feb, 2020, we gave a SELL call for SCHAEFFLER. The scrip opened at 4546 and reached a low of 4530.1 within next 3 trading days, giving an opportunity to book of profit of Rs.15.9 i.e. 0.35%.
13) We gave a BUY call for SCHAEFFLER on 20 Jan, 2020. The scrip opened at 4573.6 and rose to 4650 within next 3 trading days, giving an opportunity to book of profit of Rs.76.4 i.e. 1.67%.
14) We gave a BUY call for SCHAEFFLER on 13 Jan, 2020. The scrip opened at 4779 but did not rise as expected. However, it fell to 4530 before closing at 4557. Although we consider this as a rare Failed Call
15) We gave a BUY call for SCHAEFFLER on 31 Dec, 2019. The scrip opened at 4632 and rose to 4749 within next 3 trading days, giving an opportunity to book of profit of Rs.117 i.e. 2.53%.
16) We gave a BUY call for SCHAEFFLER on 30 Dec, 2019. The scrip opened at 4580 and rose to 4762.15 within next 3 trading days, giving an opportunity to book of profit of Rs.182.15 i.e. 3.98%.
17) We gave a BUY call for SCHAEFFLER on 18 Dec, 2019. The scrip opened at 4439.95 and rose to 4575 within next 3 trading days, giving an opportunity to book of profit of Rs.135.05 i.e. 3.04%.
18) On 10 Dec, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 4421.1 and reached a low of 4200 within next 3 trading days, giving an opportunity to book of profit of Rs.221.1 i.e. 5%.
19) On 25 Oct, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 4001.55 and reached a low of 3971 within next 3 trading days, giving an opportunity to book of profit of Rs.30.55 i.e. 0.76%.
20) We gave a BUY call for SCHAEFFLER on 17 Oct, 2019. The scrip opened at 4140.05 and rose to 4209 within next 3 trading days, giving an opportunity to book of profit of Rs.68.95 i.e. 1.67%.
21) On 25 Jul, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 4020 and reached a low of 3835.5 within next 3 trading days, giving an opportunity to book of profit of Rs.184.5 i.e. 4.59%.
22) On 22 Jul, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 4290 and reached a low of 3974.95 within next 3 trading days, giving an opportunity to book of profit of Rs.315.05 i.e. 7.34%.
23) On 10 Jul, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 4700.1 and reached a low of 4420.2 within next 3 trading days, giving an opportunity to book of profit of Rs.279.9 i.e. 5.96%.
24) On 7 Jun, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 5071.95 and reached a low of 4990.05 within next 3 trading days, giving an opportunity to book of profit of Rs.81.9 i.e. 1.61%.
25) On 8 May, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 5110.4 and reached a low of 4765.5 within next 3 trading days, giving an opportunity to book of profit of Rs.344.9 i.e. 6.75%.
26) We gave a BUY call for SCHAEFFLER on 24 Apr, 2019. The scrip opened at 5575 and rose to 5595.05 within next 3 trading days, giving an opportunity to book of profit of Rs.20.05 i.e. 0.36%.
27) We gave a BUY call for SCHAEFFLER on 16 Apr, 2019. The scrip opened at 5498.1 and rose to 5568 within next 3 trading days, giving an opportunity to book of profit of Rs.69.9 i.e. 1.27%.
28) We gave a BUY call for SCHAEFFLER on 27 Mar, 2019. The scrip opened at 5450 and rose to 5600 within next 3 trading days, giving an opportunity to book of profit of Rs.150 i.e. 2.75%.
29) We gave a BUY call for SCHAEFFLER on 20 Mar, 2019. The scrip opened at 5450 and rose to 5494 within next 3 trading days, giving an opportunity to book of profit of Rs.44 i.e. 0.81%.
30) On 23 Jan, 2019, we gave a SELL call for SCHAEFFLER. The scrip opened at 5457.5 and reached a low of 5307.3 within next 3 trading days, giving an opportunity to book of profit of Rs.150.2 i.e. 2.75%.


Dropping meat from your menu and embracing the ways of the herbivore doesn't have to mean losing out on great food or constricting yourself to a limited menu.
Scotland is one of the best countries in the world to go green; with its wonderful natural larder and inspiring people who will ensure you'll never be short of the freshest produce made for you in the best possible way.
Let's face it, eating out with friends, families or partners is one of the best things about life. When you are a vegetarian this can sometimes be a minefield of exclusion, confusion and annoyance depending on the availability of dishes, the knowledge of the serving staff and the type of restaurant you intend to visit. That's why it's always great to visit restaurants catering for vegetarians and vegans, alleviating all of these worries and leaving the night as it should be; all about great food and great company.
Scotland offers some of the best vegetarian and vegan restaurants anywhere in the UK.
Recently voted the most vegan-friendly city in the UK by PETA, Glasgow has an abundance of great vegetarian and vegan restaurants. These include the art and music venue the 13th Note, established vegan cafe stable mates Stereo and Mono, wonderful new comer the 78 and the CCA's great little Saramago cafe bar.
Not to be outdone by its west coast cousin, Edinburgh is also a hot bed of great places to eat for vegetarians and vegans. There is Hendersons which is practically an institution and was also the city's first vegetarian venue, David Banns, which offers cuisine with influences from all over the world and Kalpna, which offers stunning Indian vegetarian food.
Aberdeen also offers some great venues to sate your green urges, including the wonderfully named Tropical Gateway vegan café in the city centre, the vegetarian-friendly Books and Beans and Belmont Filmhouse cafés and the always fun Kilau coffee shop.
One of the more remote options is the excellent Ellishadder Art Cafe on the north east coast of Skye, which specialises in locally-sourced dishes. There's also the Riverdale Organic Café in Inverness or the Artisan lounge in Ayr.
Scotland loves food. It also loves to socialise and these two wonderful passions are often combined to create some truly amazing festivals. Herbivory is celebrated widely across Scotland in all its forms, with foodie festivals, weekly meet-ups, club nights, dinners and social gatherings aplenty.
There are also events to watch out for, such as the Vegfest, which arrives at the SECC in December (an international festival offering cookery demos and talks and celebrating all things vegan), and the Edinburgh Vegan Festival, which brought the first ever celebration of vegan food of its kind to the capital in August.
The best part about any passion for food is definitely sharing that passion with others and there's no better way to do so than joining a club. Great groups such as Vegan Edinburgh and Glasgow and the Vegetarian Society Scotland offer advice, information and dining nights to enjoy with other members.
Scotland produces some of the best seasonal vegetables and fruits to be found anywhere in the UK. This is often reflected in the availability of these wonderful ingredients in both supermarkets and local restaurants.
Best of all, you can get involved too. Scotland offers many places for you to pick your own fruit and vegetables at the many pick your own farms and orchards ensuring you get the freshest produce available. You can learn from experts about the varieties grown locally in Scotland and even discover the magical world of herbs at the Secret Herb Garden.
Scotland also has some fantastic signature vegetarian dishes that visitors and locals alike will often rave about. No self respecting Scottish breakfast would be complete without the humble tattie scone, and many swear by the wonderfully named Rumbledethumps – a traditional dish from the Borders made using onion, cabbage and potatoes.
And saving the best for last, the wondrous veggie haggis is a firm favourite with most (even those who eat the non-veggie version) and is a must try for any visitor to these fair shores.
Offering an alternative to the usual supermarkets and high street shops, health stores such as Real Foods in Edinburgh, the Stirling Health Food Store and Whole Foods in Glasgow offer great places to pick up supplements, herbs and organic foods.
Why not buy straight from the source? Scotland has a thriving infrastructure of farmers and local growers and the many Farmers markets happening up and down the country are a great way to not only buy the freshest fruit and vegetables around but also get advice from the people who worked so hard to grow them.


The ImageIR® 4300 by InfraTec is equipped with a cooled 320x256 pixel focal plane array photon detector and the option of utilizing an MCT or InSb detector for analyses in the SWIR and MWIR ranges. It is capable of recording and storing images with a frequency of up to 706 Hz allowing for rapid process analysis. An impressive thermal resolution of up to 0.02 K (20 mK) gives this camera the potential for usage for a broad range of applications in the fields of industry and science.


text:
\section{\label{sec:level1}First-level heading}

Droplet coalescence is a ubiquitous phenomenon in natural and industrial processes that involve dispersed two-phase flows \cite{Yarin2006,Gorokhovski2008,Kavehpour2015,Low1982,Chen2007,Derby2010,Tang2016,Xia2017,vandeVorst1994,Dreher1999,Squires2005}. Among the various aspects of droplet coalescence, the initial coalescence of two liquid droplets has been of core interest. The first quantitative analysis of sphere coalescence was provided by Frenkel \cite{Frenkel1945} based on the assumption of internal Stokes flow; however, the result was commented as ``misleading" by Hopper \cite{Hopper1993a}, who gave an analytical two-dimensional solution for the coalescence of two cylindrical droplets \cite{Hopper1993a,Hopper1990,Hopper1993b} for viscous sintering. He showed that the non-dimensional radius $R^{\ast}$ (scaled by $R_0$, the initial radius of the droplets) of the neck (or bridge) between the droplets grows as $R^{\ast} \sim t^{\ast} \ln{t^{\ast}}$ with $t^{\ast}$ being the time scaled by $\tau_v=\mu R_0/\sigma$, where $\mu$ is the dynamic viscosity and $\sigma$ the surface tension coefficient. This scaling law was later extended by Eggers \textit{et al.} \cite{Eggers1999} to the three-dimensional coalescence in the very early stage when $R^{\ast} \ll 1$. For larger $R^{\ast}$, they \cite{Eggers1999,Duchemin2003} argued that the neck flow goes beyond the Stokes regime to the inertial (or inviscid) regime, and further arrived at the $1/2$ power-law scaling, $R^{\ast} \sim (t^{\ast})^{1/2}$ with the time scale being $\tau_i=(\rho R_0^3/\sigma)^{1/2}$, where $\rho$ is the liquid density.

Recent advances in the fast digital imaging \cite{Aarts2005,Thoroddsen2005,Yao2005}, state-of-art probing techniques \cite{Case2008,Fezzaa2008,Paulsen2011}, and numerical simulation enabled researchers to scrutinize the early stages of drop coalescence, roughly corresponding to $0<R^{\ast}<1$. As a result, the $1/2$ power-law scaling was confirmed by many experimental \cite{Aarts2005,Thoroddsen2005,Fezzaa2008,Wu2004,Burton2007,Case2009} and numerical \cite{Duchemin2003,Eiswirth2012,Pothier2012,Gross2013,Sprittles2012} studies, with the inertial time scale identified to be exactly $\tau_i$. The same scaling was also verified for droplet coalescence on substrate \cite{Ristenpart2006,Sanchez2012,Eddi2013}. However, the studies of Aarts \textit{et al.} \cite{Aarts2005} and Thoroddsen \textit{et al.} \cite{Thoroddsen2005} pointed to a glaring fact that the viscous regime is better predicted by the linear scaling of $R^{\ast} \sim t^{\ast}$ rather than the scaling of $R^{\ast} \sim t^{\ast}\ln{t^{\ast}}$. This linear correlation was also corroborated by several studies \cite{Yao2005,Paulsen2011,Burton2007}.

Subsequently, researchers started to direct their attention towards the crossover (or transition) between the viscous and inertial regimes. The first direct evidence of the crossover from $R^{\ast} \sim t^{\ast}$ to $R^{\ast} \sim (t^{\ast})^{1/2}$ was reported by Burton and Taborek \cite{Burton2007}. By equating the characteristic velocities from the two scaling laws, they derived the crossover length, $l_c \sim \mu(R_0/\rho \sigma)^{1/2}$, which is consistent with the results of Paulsen and coworkers \cite{Paulsen2011,Paulsen2013}, who obtained the same crossover length and, additionally, the crossover time, $\tau_c \sim \mu^2(R_0/\rho \sigma^3)^{1/2}$, by assuming unity Reynolds number. Applying these time and length scales, Paulsen and coworkers collapsed the neck evolutions of distinct viscosities onto a single fitting curve, $(R^{\ast})^{-1} \sim (t^{\ast})^{-1}+(t^{\ast})^{-1/2}$, indicating a certain degree of universality for droplet coalescence.

In this Letter, we take one step further to theoretically analyze the neck evolution using the Navier-Stokes equation. The very beginning of droplet contact, where the length scale of the neck is comparable to the mean free path of the gas medium, is beyond the scope of the current theory.
A schematic of the neck between two merging droplets of initial radius $R_0$ is shown in Fig.~\ref{fig:1}. The neck radius, $R$, is defined as the minimum distance of the neck from the $z$-axis. It follows from the geometry that the characteristic width (or height) of the neck is approximately $2r_R$, with $r_R = R \tan{(\theta/2)}$. The open square dot represents an infinitesimal fluid element locating on the r-axis and next to the droplet neck surface; thus, it moves with the center of the neck at the same speed of $U$.

Given axisymmetric flow without swirling, the dynamics of the fluid element is governed by the $r$-direction N-S equation,
\begin{equation}
\begin{split}
\label{eq:2}
& \rho (\partial_t u_r + u_z \partial_z u_r + u_r \partial_r u_r)\\
& = -\partial_r p + \mu \left(\partial_z^2 u_r + \partial_r^2 u_r + \frac{\partial_r u_r}{r} - \frac{u_r}{r^2} \right),
\end{split}
\end{equation}
where $u_z$ and $u_r$ are the velocity components in the $z$- and $r$- directions, respectively; $p$ is the pressure and $t$ the time. We now list the physical assumptions and approximations that are necessary for further derivations.\\
(i) The flow is localized around the neck region. This means that the neck movement only affects its immediate near field encircled by the red dotted curve shown in Fig.~\ref{fig:1}, whereas the rest of the drop is considered nearly stagnant. This assumption is in line with the finding of Paulsen \textit{et al.} \cite{Paulsen2011} that the flow extends over a length comparable to the neck height rather than the neck radius. We also note that this assumption implies $R \ll R_0$ so that the rest of the droplets is hardly ``felt" by the neck.\\
(ii) The flow is quasi-steady \cite{Eggers1999,Duchemin2003,Gross2013}, meaning $\partial_t u_r \approx 0$.\\
(iii) The neck geometry is associated with two length scales, $R$ and $r_R$, corresponding to two principle curvatures, $1/R$ and $1/r_R$. Therefore, the neck curvature in the $zr$-plane is approximately $1/r_R$ \cite{Gross2013}.
\begin{figure}
\includegraphics[scale=0.4]{Fig1.png}
\caption{A zoomed-in schematic of the neck region between two merging droplets. The red dotted curve together with the droplet interface encircles the main flow region of the droplet, outside of which the flow may be considered to be negligible.}
\label{fig:1}
\end{figure}

Since the fluid element in Fig.~\ref{fig:1} moves along the $r$-axis, $u_z$, $\partial_z u_r$, and $\partial_z u_z$ should all be zero at $z=0$ owing to the condition of symmetry, so the term $u_z \partial_z u_r$ vanishes in Eq.~(\ref{eq:2}). Applying the continuity equation and the relation $\partial_z u_z = 0$, we have $\partial_r u_r = -u_r/r$ and then $\partial_r^2 u_r = 2u_r/r^2$. According to Assumption (i), the length scale of the encircled flow region is $r_R$ in both $z$- and $r$- directions, so $\partial_r u_r = -\partial_z u_r \sim U/r_R$. The following scaling approximations can be readily obtained: $u_r \partial_r u_r \sim U^2/r_R$, $\partial_r p \sim \Delta p/r_R$, $\partial_z^2 u_r \sim -U/r_R^2$, $\partial_r u_r/r \sim U/(R r_R)$, where $\Delta p$ is the pressure difference across the encircled flow region. Consequently, with $(u_r/r^2)|_{r=R} = U/R^2$, Eq.~(\ref{eq:2}) takes the simplified form,
\begin{equation}
\label{eq:3}
\frac{\rho U^2}{r_R} = -\frac{C_1 \Delta p}{r_R} - \frac{C_2 \mu U}{r_R^2} + \frac{C_3 \mu U}{Rr_R} + \frac{\mu U}{R^2},
\end{equation}
where $C_1$, $C_2$, and $C_3$ are positive scaling coefficients to be determined experimentally. Note that the derivation of Eq.~(\ref{eq:3}) also requires Assumption (ii). $\Delta p$ can be estimated from $\Delta p = p_2-p_1$, where $p_1$ and $p_2$ are the pressures corresponding to the locations shown in Fig.~\ref{fig:1}. As the present study concerns the coalescence of liquid droplets in a gaseous environment, the liquid-gas interface can be considered as a free surface, where the capillary pressure jump is given by $p_\infty - p = -2\mu \boldsymbol{n}\cdot \boldsymbol{S} \cdot \boldsymbol{n} + \sigma\kappa$ \cite{Tryggvason2011}, where $p_\infty$ is the ambient gas pressure,  $\boldsymbol{n}$ and $\kappa$ are the unit normal vector and curvature of the interface, respectively, and $\boldsymbol{S}$ is the rate-of-strain tensor. It is noted that the static version of this condition is known as the Young-Laplace equation. Accordingly, the pressure jumps at the interfaces of the far-side droplet and the neck satisfy $p_\infty - p_1 = -2\sigma/R_0$ and $p_\infty - p_2 = -2\mu\partial_r u_r+\sigma(1/r_R - 1/R)$, respectively, which can be subtracted to yield $\Delta p = -\sigma(1/r_R - 1/R + 2/R_0) - 2\mu U/R$, where $(\partial_r u_r)|_{r=R}=-U/R$ from the continuity equation is applied. With $R \ll R_0$ implied by Assumption (i), $\theta \approx \sin{\theta} = R/R_0$ and $\theta/2 \approx \tan{(\theta/2)} = r_R/R$, it gives the geometric relationship,
\begin{equation}
\label{eq:4}
\frac{r_R}{R} \approx \frac{R}{2R_0},
\end{equation}
which is consistent with previous studies \cite{Paulsen2011,Gross2013}. Based on Eq.~(\ref{eq:4}), we can make the approximation that $\Delta p \approx -\sigma/r_R$. With $r_R \ll R$, the third and fourth terms on the right-hand side of Eq.~(\ref{eq:3}) are negligible compared with the second term. Together with $\dot{R} = \mathrm{d}R/dt = U$, Eq.~(\ref{eq:3}) can be therefore simplified into
\begin{equation}
\label{eq:6}
\frac{\rho \dot{R}^{\ast 2} L^2}{T^2} = \frac{C_1 \sigma D_0}{R^{\ast 2}L^2} - \frac{C_2 \mu D_0 \dot{R}^{\ast}}{R^{\ast 2}LT},
\end{equation}
where $D_0=2R_0$, $R^{\ast} = R/L$, $\dot{R}^{\ast}=\dot{R}/U$, and $T=L/U$, with $L$, $U$, and $T$ being the characteristic length, velocity, and time scales, respectively. Eq.~(\ref{eq:6}) describes a balance among the effects of advection, pressure gradient, and diffusion.

The experimental studies of Paulsen and coworkers \cite{Paulsen2011,Paulsen2013} imply the existence of a unified formulation given the length and time are scaled properly. If Eq.~(\ref{eq:6}) is such a formulation, we must have
\begin{equation}
\label{eq:7}
\frac{\rho L^2}{T^2} = \frac{\sigma D_0}{L^2} = \frac{\mu D_0}{LT},
\end{equation}
yielding $L = Oh D_0$ and $T = \mu Oh D_0/\sigma$, where $Oh = \mu/\sqrt{\rho \sigma D_0}$ is the Ohnesorge number.
Note that $L$ and $T$ match exactly with the viscous-to-inertial crossover scales used by Burton and Taborek \cite{Burton2007} and Paulsen and coworkers \cite{Paulsen2011,Paulsen2013}.

Now, Eq.~(\ref{eq:6}) takes the dimensionless form,
\begin{equation}
\label{eq:8}
\dot{R}^{\ast 2} = \frac{C_1}{R^{\ast 2}} - \frac{C_2 \dot{R}^{\ast}}{R^{\ast 2}}.
\end{equation}
Bearing in mind that $C_1$ and $C_2$ are positive and of $O(1)$, we can integrate Eq.~(\ref{eq:8}) with the initial condition $R^{\ast}(t^{\ast}=0) = 0$, where $t^{\ast} = t/T$, to obtain the exact solution,
\begin{equation}
\label{eq:9}
\begin{split}
t^{\ast} & = \frac{C_2 R^{\ast}}{2C_1} + \frac{C_2}{4C_1}\left[R^{\ast}\sqrt{\frac{4C_1 R^{\ast 2}}{C_2^2} + 1} \right.\\
& \left.+ \frac{C_2}{2\sqrt{C_1}}\sinh^{-1}\left(\frac{2\sqrt{C_1} R^{\ast}}{C_2}\right) \right].
\end{split}
\end{equation}
Eq.~(\ref{eq:9}) readily dictates the asymptotic behaviors associated with the viscous and inertial regimes. For $R^{\ast} \gg C_2/\sqrt{4C_1} = O(1)$, Eq.~(\ref{eq:9}) yields
\begin{equation}
\label{eq:10}
t^{\ast} \approx \frac{R^{\ast 2}}{2\sqrt{C_1}} + O(R^{\ast}).
\end{equation}
Eq.~(\ref{eq:10}) can be rewritten in the dimensional form of $R/R_0 \approx c_1(t/\tau_i)^{1/2}$, with $c_1=(8C_1)^{1/4}$. It is in line with the $1/2$ power-law scaling for the inertial coalescence regime. For $R^{\ast} \ll C_2/\sqrt{4C_1}$, Eq.~(\ref{eq:9}) yields
\begin{equation}
\label{eq:11}
\begin{split}
t^{\ast} & \approx \frac{C_2}{2C_1}\left[\frac{3R^{\ast}}{2} + \frac{C_2}{4\sqrt{C_1}}\ln\left(\frac{2\sqrt{C_1} R^{\ast}}{C_2} + 1\right) \right]\\
& \approx \frac{C_2 R^{\ast}}{C_1} + O(R^{\ast 2}),
\end{split}
\end{equation}
which can also be expressed in the dimensional form of $R/R_0 \approx c_2 t/\tau_v$, with $c_2=C_1/C_2$.
It is noted that Eq.~(\ref{eq:11}) can be also reduced to the form of $R \sim t\sigma/\mu$, which is void of any characteristic length. This can be interpreted that the physics of viscous regime is intermediate self-similar \cite{Barenblatt1996}. The coefficients $c_1 = 1.68$ and $c_2 = 1$ were suggested by Paulsen \cite{Paulsen2013} although different values were reported \cite{Aarts2005,Thoroddsen2005,Wu2004}. Accordingly, we obtain $C_1 \approx 1$ and $C_2 \approx 1$, which confirms that these coefficients are of $O(1)$.

Here, we contrast our viscous scaling with the $t^*\ln(t^*)$ behavior given by Eggers \textit{et al.} \cite{Eggers1999}. In fact, our supplementary materials \cite{SM} now confirm the validity of their scaling through a detailed derivation of a key velocity integral, which was only provided via an argument in Eggers \textit{et al.}'s original work. It is noted that while their scaling is based on the accurate solution of Stokes flow and should be valid for $t \longrightarrow 0$, it could divert from the actual neck evolution. For one thing, the initial merging could start from a non-zero gap height, so that their requirement for $r_R$ being two-order-of-magnitude smaller than $R$ would not be satisfied at the beginning. Furthermore, as the neck expands out, the shape of the meniscus evolves in both $z$ and $r$ directions, which causes the surface tension to be more distributed rather than concentrated. Therefore, their approximation of parallel undisturbed interfaces on both sides of the neck and the treatment of applying ring force or belt force could introduce additional error. Our approach, on the hand, can be understood as a linearization of the N-S equation in the vicinity of the neck so the $\ln(t^*)$ term is smoothed out to be a constant within a finite time period. The merit is that both viscous and inertial terms can be preserved to yield a unified formula for a significantly extended lifespan of the neck evolution, covering the viscous, viscous-to-inertial crossover, and inertial regimes. The performance of our theory will be justified through comparisons with experiment in the following.
\begin{figure}
\includegraphics[scale=0.37]{Fig2.png}
\caption{Validation of Eq.~(\ref{eq:9}) against experimental data from previous studies \cite{Aarts2005,Thoroddsen2005,Yao2005,Fezzaa2008,Paulsen2013,Paulsen2012}. The solid line is the fitting of all data using the current model of Eq.~(\ref{eq:9}). The dashed line corresponds to this model with asymptotic behaviors in the viscous and inertial regimes identical to the fitting relation of Paulsen \cite{Paulsen2013}, which is represented by the dotted line. }
\label{fig:2}
\end{figure}

We now provide the validation of Eq.~(\ref{eq:9}) in Fig.~\ref{fig:2}, by comparing our theory with previous experimental data of various $Oh$.
The relevant parameters ($D_0$, $\rho$, $\sigma$, and $\mu$) for the 15 sets of experimental data are summarized in the supplemental materials \cite{SM}. It is observed from Fig.~\ref{fig:2} that all data tend to collapse onto a single curve, while the scatteredness of the data reflects the variations of the scaling prefactors reported by different experiments. The collapsed data agree well with the dashed line, which is the current model with $C_1=1$ and $C_2=1$, demonstrating a good universality of this model in predicting the neck evolution, even though the original experiments were conducted under different conditions for the droplets of distinct liquids.

Fig.~\ref{fig:2} also demonstrates the asymptotic behaviors in the viscous and inertial regimes. Specifically, the $R^{\ast} \sim t^{\ast}$ and $R^{\ast} \sim \sqrt{t^{\ast}}$ scaling relations show up as $R^{\ast} \ll 1$ and $R^{\ast} \gg 1$, respectively, whereas a clear inflection point can be identified around $R^{\ast} = 1$ and $t^{\ast} = 1$, marking the transition from viscous to inertial. The dotted line represents Paulsen's fitting \cite{Paulsen2013}, the functionality of which has been adjusted to $2(R^{\ast})^{-1} = (t^{\ast}/2)^{-1} + (t^{\ast}/2)^{-1/2}$ under the current scales of L and T. Comparing Paulsen's fitting with the current theory ($C_1 = 1$ and $C_2 = 1$), we find that the two curves overlap with each other in the limit $R^{\ast} \ll 1$ and $R^{\ast} \gg 1$.
The inset plot of Fig.~\ref{fig:2} is a close-up of the crossover regime, showing that Paulsen's fitting in this regime is slightly off compared with our analytical solution. Better fittings by using Eq.~(\ref{eq:9}) and different $C_1$ and $C_2$ can be obtained, but they make overall subtle differences.

The discussions of Eqs.~(\ref{eq:10}) and~(\ref{eq:11}) together with Fig.~\ref{fig:2} imply that the viscous, viscous-to-inertial crossover, and inertial regimes can be roughly segmented as $R^{\ast} \ll 1$, $R^{\ast} \sim O(1)$, and $R^{\ast} \gg 1$. With $R^{\ast} = R/(Oh D_0)$, the coalescence regime is clearly dictated by two factors, $R/D_0$ and $Oh$. The effect of $R/D_0$ can be understood that for a given fluid the droplet coalescence regime changes from viscous to inertial or has such a trend as the neck expands out naturally. However, $R/D_0$ can only increase up to the order of unity, so it is $Oh$ that eventually decides whether a coalesced droplet could enter the inertial regime. This is evident from Fig.~\ref{fig:2} that data in the inertial regime generally corresponds to smaller $Oh$ and vice versa, given the sampling range of $R/D_0$ does not vary dramatically among different experiments. This contributes to an important understanding of how drop coalescence should be classified in practice. For example, Aarts \textit{et al.} \cite{Aarts2005} used Data 3 (20 mPa s silicon oil) and Data 4 (50 mPa s silicon oil) to demonstrate the inertial scaling, whereas the current study clearly shows that Data 3 mainly covers the crossover regime and Data 4 extends from the viscous regime to the crossover regime.

As an additional support to our theory and the assertion on $Oh$ effects, a volume of fluid (VOF) simulation \cite{Scardovelli1999,Tryggvason2006} was implemented using the open source code, Gerris \cite{Popinet2003,Popinet2009}. This numerical approach has been demonstrated to be suitable for multiphase flow \cite{Chen2014a,Chen2014b,Agbaglah2015,Thoraval2016}, and validated for the droplet coalescence problem in our previous study \cite{Xia2017}. Since the numerical interface is represented by finite layers of grid cells, it inevitably introduces a finite neck radius after the initial contact of droplets. By taking advantage of the adaptive mesh refinement \cite{Popinet2003,Popinet2009}, we have brought the initial neck radius, $R/D_0$, down to the order of $O(10^{-3})$, which would greatly improve the neck evolution in the initial stage. The evolution of the neck interface for a representative simulation case, with $Oh = 0.0016$, is shown in the inset plot of Fig.~\ref{fig:3}.
Similar simulations were conducted for $Oh=$ 0.0082, 0.0179, 0.0718, 0.1795, 0.8975, and 4. The neck radius evolutions are shown in the main plot of Fig.~\ref{fig:3}. It is seen that each simulation data set originates from a finite neck radius, causing the simulated evolution to deviate from experiment or theory, especially at the very early stages when $R^{\ast}$ hardly grows with time. Nevertheless, the later-stage coalescence behavior is less affected by the simulation onset, as each neck evolution curve gradually approaches and then follows its designated scaling. Similar neck evolution behaviors were also observed from the simulation studies of Sprittles and Shikhmurzaev \cite{Sprittles2012,Sprittles2014}. Based on fitting the late-stage curves of the simulated neck evolution to Eq.~(\ref{eq:9}), we estimated $C_1 = 0.3$ and $C_2 = 0.48$, which is in reasonable agreement with $C_1=1$ and $C_2=1$ obtained based on experiment. The differences in those coefficients are likely caused by the initial condition of the simulation, $R^{\ast}(t^{\ast}=0) \neq 0$, being different from the theory. Last, Fig.~\ref{fig:3} also justifies that both increasing $R/D_0$ and decreasing $Oh$ would cause the coalescence to move towards the more inertial regime, which is consistent with the experimental observation from Fig.~\ref{fig:2}.
\begin{figure}
\includegraphics[scale=0.37]{Fig3.png}
\caption{Main: validation of Eq. (7) against simulated neck evolution for droplets of different viscosities ($Oh$). Inset: time evolution of the simulated neck interface for a representative case with $Oh = 0.0016$.}
\label{fig:3}
\end{figure}

To summarize, we have presented a theoretical model for the neck evolution during initial coalescence of binary liquid droplets. We showed that the length and time scales for the crossover between viscous and inertial regimes come naturally in the theory. With the proposed scaling, we derived and validated a unified solution that applies to the viscous, viscous-to-inertial crossover, and inertial regimes of droplet coalescence. This provides a fundamental framework to support the prominent scaling laws as well as the crossover behaviors observed from previous experimental and numerical studies.

This work was supported by the Hong Kong RGC/GRF (PolyU 152217/14E and PolyU 152651/16E) and partly by the "Open Fund" of State Key Laboratory of Engines (Tianjin University, No. K2018-12).

redpajama_set_name: RedPajamaArXiv


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