text:
Q: HTML Form (Bootstrap) has Wrong Indentation I am working through a Web Development book, and part of the hands-on practice has me developing a form. All of the form controls and the button are supposed to be aligned, but for some reason each form control gets increasingly indented, and I don't know why.
Here is the relevant portions of my HTML and CSS (I can provide the whole documents if needed). Any ideas?
HTML:

Contact Path of Light Yoga Studio

Required information is marked with an asterisk (*).

    <form method="post" action="http://webdevbasics.net/scripts/yoga.php">
        *Name:
        <input required type="text" name="myName">

        *E-Mail:
        <input required type="email" name="myEmail">

        *Comments:
        <textarea required name="myComments" rows="2" cols="20"></textarea>

        <button id="mySubmit">Send Now</button>

    </form>

CSS:
    * { box-sizing: border-box; }

    main {
        padding-left: 2em;
        padding-right: 2em;
        padding-top: 1em;
        margin-left: 170px;
    }

    label{
        float: left;
        display: block;
        text-align: right;
        font-weight: bold;
        width: 10em;
        padding: 1em;
    }

    input, textarea{
        display: block;
        margin-bottom: 2em;
    }

    form{
        padding: 3em;

    }

    #mySubmit{
        margin-left: 12em;
    }

A: The problem seems to be with the padding property of your label class in the CSS. Try removing that property or reduce it from 1em to maybe 0.5em and see if that helps. It's probably overflowing due to too much padding.


text:
Jacob Jonghelinck lub Jacques Jonghelinck (ur. 1530 w Antwerpii, zm. 1606) – flamandzki rzeźbiarz i medalier. Studiował w Mediolanie, gdzie też prawdopodobnie odbywał praktyki u włoskiego rzeźbiarza Leone Leoni. W 1555 powrócił do Flamandii i w latach 1558 - 1560 pracował nad grobowcem księcia Burgundii Karola Śmiałego w kościele Najświętszej Marii Panny w Brugii. Jacob znany jest też z wielu portretów w postaci medalionów.

Galeria

Przypisy

Bibliografia

Flamandzcy rzeźbiarze
Artyści związani z Antwerpią
Urodzeni w 1530
Zmarli w 1606
Ludzie urodzeni w Antwerpii

redpajama_set_name: RedPajamaWikipedia


They say you can drive on bad oil, but it will eventually burn out your engine.
If you are finding yourself discouraged, irritable with others, without passion or vision, without hope, lukewarm and distant in your walk with God, uninterested in seeing the lost saved, or just plain weary… then it sounds like your check engine light is on. When was the last time you had an oil change?
There is an undeniable Biblical connection between the anointing with oil and the Holy Spirit. It has been the practice of the Church from the Old to the New Testaments to anoint people with oil and then the Holy Spirit would come upon them.
Instead of unnecessary heady theology about oil, how it's made, or why it's a symbol of the Spirit, I would simply like to encourage you to get an oil change.
David says in his famous psalm that the Lord anoints his head with oil … and his cup runneth over. This is speaking of an overflow of God's grace, mercy, love, power, joy, and wisdom. There are no limits to the Limitless One.
What is someone like who has had an oil change?
Concerned with the Welfare of Others, Unafraid, Patient, Tenderhearted, Bold but not Obnoxious.
There is a fragrance when someone had anointing oil in the Old Testament. In the New Testament, we are now called to bring the fragrance of Christ into a dying world. When people get around you, do they notice something different? Is there the smell of Heaven on your life?
Go to a revival meeting.
Go on a retreat into nature for a day (or more). Jesus went onto the mountain.
I loved that message, Zac. It was true, uplifting, encouraging, motivating. Well written. Just the right length, too. Love you, son.


Autumn is around the corner and it means that the summerish playlists need to be replaced with some new tunes. The danceable beats can be substituted by a bit more thoughtful tracks, that are suitable for a calm weekend, supporting us on a cup of tea or – well, why not as well – a glass of wine.
Many of our Danish favourites will come up with new music during autumn. One of the first ones and maybe most suitable though is Line Bøgh. Her long anticipated album "Like fire, like fire" has been launched on the 15. September 2017. But it is not only her album this time. As her songs are usually very image-rich and full of stories that encourage your brain to develop visuals when listening to them, she used the chance to accompany each of her songs with a visual art.
The art pieces have been developed together with Christian Gundloft and they are at the same time matching very well the themes of the songs and also very personal. They show a lot of different sides of Line and make her connection to the dedicated song very visible.
We were happy enough to present these visuals over the last 10 days and introduce you to one song including accompanying art each day (see the visuals on Good because Danish Instagram).
For us at Good because Danish, "Like fire, like fire" is definitely a very matching soundtrack for autumn. So get comfortable and start listening to "Yellow Moon" that tells a "January love story from the streets of Copenhagen" as Line explains. Or learn more about fear in "Out of Air". Matching for autumn, but also for a lot of families, is the song "What we need is more sunshine". The more dreamy ones of you will definitely like "Airplanes", a song which Line wrote when she was "Looking at airplanes and pretending that it would be her on her way to another part of the world".
Does this sound like the right music for the upcoming more quiet and calmer days? We think so! If you want to find out for yourself, then get comfy and have a listen to Line Bøgh's new album "Like fire, like fire"!


text:
USA: DaimlerChrysler and union agree 5,000 job cuts programme – paper
DaimlerChrysler and the United Auto Workers have agreed on a special retirement programme designed to cut up to 5,000 of the Chrysler Group's 12,000 skilled trades workers, the Detroit News reported on Wednesday, citing union documents and company sources.
DaimlerChrysler and the United Auto Workers have agreed on a special retirement programme designed to cut up to 5,000 of the Chrysler Group's 12,000 skilled trades workers, The Detroit News reported on Wednesday, citing union documents and company sources.
The motor city newspaper said the programme, outlined in a "side letter" to the car maker's new four-year labour contract with the UAW, will offer $US70,000 buy-out packages to eligible skilled trades workers in the first quarter of each year of the agreement.
The Detroit News said buy-outs could reduce Chrysler's unionised work force significantly beyond the job reductions connected to closing or selling up to nine parts plants and the elimination of 400 UAW salaried design jobs.
Cutting back on skilled trades workers – who earn an average of $79,000 annually – could reduce employment costs and help close the productivity gap between Chrysler and non-union, Japanese 'transplant' factories, the paper added.
"We've been saying we need to close the gap with the transplants, but we don't have any comment on what's in the contract," Chrysler spokesman Michael Aberlich told the Detroit News, which noted that Chrysler assembly plants now require 28 labour-hours per vehicle, compared to 16 hours at Nissan Motor Manufacturing and Toyota Motor plants that require 21 labour-hours per vehicle.
The Detroit News said the side letter specifies that the buy-out programme will start in the first quarter of 2004 but that phase will be limited to facilities that have skilled trades employees on indefinite leave.
In the succeeding three years, the programme will be open to a wide range of skilled trades workers, including electricians, millwrights, toolmakers and machine-repair specialists, the paper added.
Citing union and company sources, the Detroit News said Chrysler hopes to slash its skilled trade work force from 12,000 employees to 7,000 over the life of the four-year contract but there is no guarantee of the level of participation among employees.
The number of skilled trades workers in Chrysler plants, as well as at General Motors and Ford, generally exceeds the number of employees performing the same tasks at a non-union factory, the Detroit News noted.
The newspaper noted that the widening gap in productivity with Japanese plants in the United States was a key element in the negotiations this year between the UAW and Chrysler, GM, and Ford.
Ford, Jsc

redpajama_set_name: RedPajamaCommonCrawl


When I received a lunch invite to Bontoc from Bambi, I also planned-in a trip to Mainit, a village known for its natural hot springs. Mainit has always been on my 'to go' places, and now's the perfect time to do it. From my topo map, it's about an hour north of Bontoc, almost adjacent to Sagada. From Poblacion, Reggie (a friend and frequent Sagada visitor) and myself top-loaded the jeep into Bontoc.
Lunch at Bambi's was superb - Thai chicken dishes using curry and cumin. We ate at the viewdeck of their building overlooking much of Bontoc. The sun was out with a slight breeze...perfect for top-loading again.
Coincidentally, Bambi also had Mainit penciled in for his family as well. Hey, like I always say, the more the merrier. With his family, Reggie and myself, we boarded the top of the afternoon jeep (top-loading). The trip to Mainit was going up...up and up. From the jeep top, the view was spellbinding. We zoomed-out Bontoc to reveal its expanse and its surrounding landscape, until we hit the first village, Guina-ang. After that, it was rolling with views of the surrounding villages across the valleys. The hour-long trip was just right for top-loading - long enough to be satisfying, but short enough before it gets old.
The village of Mainit seems like a scene from Apocalype Now with sulfuric steam rising out of the natural hot springs. The place is littered with small hot pools for individual houses. Think of a house on a fog-draped mountain village with its own outdoor hot jacuzzi....how cool is that? On top of that, there's also the sizeable village pools...his and hers! This is a great bonding venue amongst the villagers. Ah...if only those pool walls can talk!
The ride out of Mainit was again, another top-loading fun...and then another top-loading ride from Bontoc to Sagada. It's hard to imagine a better way to experience the view of the Cordillera any other way. Top-loading rocks!!! To make it a more comfortable top-load, bring something comfortable to sit on (like a rolled-up earth pad), mask (it could be dusty with other vehicles).
One downside to Mainit is the jeep schedule. It leaves Bontoc at 3:30 pm, so you arrive Mainit about 5pm, close to getting dark. You're constrained to stay overnight. Then you leave early morning to catch the 8am jeep. It's too short a time to be staying at Mainit, but staying 1 more night is too long...there's nothing else to do there but enjoy the hot spring.
If I were to do it again, I would make arrangements to stay with a family and just chill at the village pool, making small talk to the locals and getting a sense of what life in Mainit is all about. You spend much less, get to experience Mainit in the raw (not insulated like a passing tourist), and make the whole visit more memorable.
You wanna kick it up a notch? From Mainit, hike to Sagada or Maligcong!
From Bontoc to Mainit - there's only 1 jeep trip, leaving 3:30pm, P35/person. The jeep is close to the Shell gas station.
From Mainit to Bontoc - there's only 1 jeep trip, leaving 8:00am, P35/person.


text:
Buddha Tooth Relic Temple and Museum in Singapore
May 24, 2019 adminComment (0) Posted in Singapore Travel Guide
The Buddha Tooth Relic Temple and Museum is a Buddhist temple and museum complex located in the China town district of Singapore.
"The temple is based on the Tang dynasty architectural style and built to house the tooth relic of the historical Buddha. The ground breaking ceremony was conducted on 13 March 2005. Costing S$62 million and 2 years later, a soft launch was held to coincide with the 2007 Vesak Day celebration." It is claimed that the relic of Buddha from which it gains its name was found in 1980 in a collapsed stupa in Myanmar. The relic can be viewed by the public at the 4th floor of the temple.
Since opening, the temple has become a popular attraction within Chinatown. Simple vegetarian fare is served in the basement of the temple, though donations are accepted.
Located in the historic district of Chinatown, the Buddha Tooth Relic Temple & Museum's richly designed interiors and comprehensive exhibits on Buddhist art and history tell stories of culture over thousands of years old. Built in 2007, the temple gets its name from what the Buddhists regard as the left canine tooth of Buddha, which has been recovered from his funeral pyre in Kushinagar, India and displayed on the temple's grounds.
Opening Closing Time Viewing of Buddha Tooth Relic: 9 am- 6 pm
Buddhist Culture Museum and Relic Chamber: 9 am-6 pm
Emiment Sangha Museum: 7 am-7 pm
Entrance Fee Free Entry
Address 288 S Bridge Rd, Singapore 058840
Nowadays travel overseas for a brief vacation even throughout the weekends has become a norm in Singapore. Friends and extended families travel to multiple locations. The good news is that we have a tendency to do offer visits at numerous locations with our Xl Maxicab/Combi Service. Look no more, get the phone and book a maxi cab now. Booking is just few clicks away and it is for free. You may reach us via call or sms using this number +65 82 338628 anytime of the day because we have accommodating and friendly operators who are always ready to serve you.
You may also contact us through our maxi cab Hotline and online Booking portal.
St. Andrew's Cathedral in Singapore
Thian Hock Keng Temple in Singapore
Singapore Videos
Maxicab Taxi in Singapore


English and Continental Antiques is a long established family business situated in the centre of the pretty North Suffolk market town of Eye, which is blessed with historic buildings, cafes and art galleries.
The business specialises in antique furniture, art and porcelain, in fact everything for the interior or exterior. There are also a range of ancillary services on offer, which include restoration, re-upholstery, interior design and furniture logistics.
Owner Steven Harmer has a love of early period oak furniture but deals across the board including Georgian mahogany and walnut, even modern designer pieces, quality being the only pre-requisite.
To complement the fine antique furniture you can find accessories to finish off the decor. In the showrooms you will find clocks and silver as well as an in-house interior design studio which displays a wide range of quality fabrics, wall papers, curtain poles and even paint samples.
There is a full delivery service available, either across the UK or even worldwide and we invite customers to view stock on-line or better still pop into the showrooms where a friendly efficient service awaits.
© 2016, English and Continental Antiques. All Rights Reserved.


Bundle together your two favourites in the super deal – The Brave Hoodie and Brave Pants!
You've always wanted BRAVE PANTS right?! I absolutely LOVE these track pant joggers and teamed with the BRAVE hoodie, they are bound to bring out the brave rider in you!!
In Dappled Grey, these joggers are perfect for wearing day to day, for riding, for lounging and for putting over the top of your show breeches to keep you clean and BRAVE!
The Hoodies come in two colours – Iron Grey and Strawberry Roan (Dusky Pink!), these hoodies are super soft, super comfy and look amazing paired with the BRAVE PANTS!!
PLEASE NOTE: Hoodies go up to an XXL- 18 but the brave pants stop at an XL – 16 hence why the bundle sizing stops at a XL-16.
We are delighted to bring you an AMAZING range this year with my new BRAVE slogan.
P.S. Please allow up to 10 working days for initial orders, as soon as the stock arrives this time will reduced considerably. Thank you for your patience.
I absolutely love this set. Great for slouching at home in or for those cold days mucking out. I really don't want to take it off.
Brave T-Shirt – For the girls!
Brave Hoodie – For the girls!
Brave Hoodie – For the boys!
Brave T-Shirt – For the boys!


text:
Q: Introducing a phase, what changes? This question is related to: Mach-Zehnder interferometer and the Fresnel-Arago laws
Let us say we have unpolarised wave taking the form:
$$\psi=\psi_0 e^{i(kx-\omega t)+i\phi(t)}$$
Where $\phi$ varies randomly with time. If I split this wave into two and send it through e.g. a double slit, one of the beams will experience a phase change due to an optical path length difference. When we combine these two waves one will take the form:
$$\psi=\psi_0 e^{i(kx-\omega t)+i\phi(t)}$$
But what about the other?
Their are 3 possibilities:
$$\psi=\psi_0 e^{i(k(x+x_0)-\omega t)+i\phi(t)}$$
$$\psi=\psi_0 e^{i(kx-\omega (t+t_0))+i\phi(t+t_0)}$$
$$\psi=\psi_0 e^{i(k(x+x_0)-\omega (t+t_0))+i\phi(t+t_0)}$$
Where $x_0$ and $t_0$ are constants. Which of these 3 is correct and why?

A: The two waves are interfering after having followed different paths, so $x$ must be different between the two. But you are observing them at the same time $t$ which must be the same for the two waves. So answer 1 is the good one.

A: If your first equation is correct at the point of splitting, then your second equation is incorrect.  Both $x$ and $t$ will have changed.
The two amplitudes just prior to recombination are given by the third (assuming that the two arms are identical e.g., no phase element in one of the legs, and identical path lengths as in the "classic" free space Mach-Zehnder) with $x_0 = ct_0$ (assuming we are in air, not a fiber for example).
Imagine freezing time. Then the phase change is determined by $\exp(kx)$.  But time does not stand still.  The phase also changes by the passage of time:  $\exp(\omega t)$.
If the path lengths are not identical, then you need a $x_1$ and a $t_1$ for one of the legs.  If there is a phase element, you have to have to deal with that.

redpajama_set_name: RedPajamaStackExchange


The City of Los Angeles, in association with the Korean American Coalition (KAC), the Latino Coalition of Los Angeles, and the William Grant Still Arts Center, is hosting a community art exhibit that will feature works from both established local artists and promising youth artists centered on the theme of diversity and their vision of Los Angeles as it stands today. The exhibit will be held at the EK Gallery on Saturday, August 19 to celebrate the diversity of our city. Selected youth submissions will be featured alongside a number of featured artists from the community.
To make a submission, please drop off your artwork along with the below entry form to EK Gallery located at 1125 S. Crenshaw Blvd., Los Angeles CA 90019 by Wednesday, August 9.


Our experienced staff have been helping the regions Working Mens Clubs with their accounting, taxation and reporting requirements over many years.
We appreciate the difficulties that a Clubs Committee can face and we offer a professional, friendly and personal support to the Committee to help overcome these issues. We offer the following services to Working mens Clubs whether it be in-house or at the club premises.
If you need to discuss any issues we are only to willing to assist. Remeber, the first consultation is FREE.


Jake | I am a 40-something triplets dad, programmer, network engineer, trail runner and BJJ white belt living in Eugene, Oregon.
I am a 40-something triplets dad, programmer, network engineer, trail runner and BJJ white belt living in Eugene, Oregon.
Stop putting sensitive URLs in your robots.txt file!


When it comes down to it, you have one major goal that should be bouncing around your head every single day. It's not take data. It's not progress on IEP goals. It's maintaining safety. Above everything else, you need to keep your students, your staff, and yourself safe. With some of our caseloads, that is an immense undertaking. When safety is on the line, nothing else matters. Your lesson plans don't matter. Your new cool phonics activity doesn't matter. Teaching social skills doesn't matter. All that matters is that you keep those students safe. There is absolutely nothing worse than having to make that phone call. That dreaded phone call to a parent that their child had been injured or their child injured someone else. I've been there more times than I prefer to think about. Many times these situations are out of our control and the stars align to create a perfect storm of chaos. But above all else – we work to maintain safety.
So how does data play a role in this all? We already said safety is the first priority, not data. Well, data is the best friend of this safety endeavor you are taking on. Data is the key to unlocking the mystery of how to keep those disastrous days from happening again by learning from them. Data will help you figure out interventions, strategies, and solutions to decreasing the behaviors that threaten our safe environment. But you will likely only take this super important data if it's easy and doable. Trust me, mid-meltdown you won't have time for a detailed data or to count slaps to the face as you are being slapped. Taking data is essential to maintain safety, but we need to figure out systems for taking data that are straightforward and manageable within what already is a high stress situation.
Negative behaviors can be extra challenging to take data on because these are often high-stress, crisis situations. When a student is engaging in aggression, we immediately go into crisis mode. It's important to plan your data system keeping this in mind!
Take data on the most extreme and disruptive behaviors first. You can't tackle everything at once, my friend.
2) Create simple data sheets.
Think doable. Think quick. Think easy. The less writing the better. I suggest using data sheets that already have the behaviors you are tracking written in. Break up the day into time intervals to easy sort when the behavior is occurring most often. Use tallies whenever possible because tallies are quick. Use a counter for high frequency behaviors. Take detailed ABC data after the behavior is done or at the end of the day when it is still fresh in your head.
3) Keep in central location.
These data sheets need to be easy to grab and in a spot that you can always get to somewhat quickly. After you get bit, you aren't going to say, "Hey would you mind pausing this meltdown one moment so I can go grab my data sheet from my binder over there." Uh. No.
4) Involve the whole team.
Yes, you are a superhero, but even Batman had Robin. You can't do this alone. You just can't. You need your team. You can't be implementing an intervention, trying to keep your student and class safe, and take data by yourself. You need to train your staff to help you. Have a plan prior to a major behavioral episode occurring. Assign roles. Who is taking data? Who is moving students if necessary? How many people should be with the student who is aggressive? Discuss different scenarios when using the data system. Give feedback following major behavioral incidents. And most importantly, share the data! Share the progress. Or share the lack of progress to explain why you are changing interventions.
Do you have these data sheets available somewhere?
Do you have the staff crisis procedure located somewhere on your TPT site?


Our discussion of this episode takes many a twist and turn: from the NEA to JFK, from Star Trek to Eddie Murphy. Plus, Toby's confession that he is no fan of musicals leads us to the next chapter of "Hrishi Hruins a Musical."
The One AM Radio - "An Old Photo of Your New Lover"
Ted Kennedy's answer to "Why do you want to be President?"
Politico: "Campaigning from the White House"
Donald Fagen - "New Frontier"
Washington Post: "Trump wants to cut the NEA and NEH."


text:
package com.bernardomg.tabletop.dreadball.model.json.availability.faction;

import com.bernardomg.tabletop.dreadball.model.availability.faction.TeamTypeSeason;
import com.bernardomg.tabletop.dreadball.model.faction.TeamType;
import com.fasterxml.jackson.annotation.JsonAutoDetect;
import com.fasterxml.jackson.annotation.JsonProperty;

/**
 * Season in which a team appeared.
 *
 * @author Bernardo Martínez Garrido
 */
@JsonAutoDetect(getterVisibility = JsonAutoDetect.Visibility.NONE,
        isGetterVisibility = JsonAutoDetect.Visibility.NONE)
public interface TeamTypeSeasonMixIn extends TeamTypeSeason {

    @Override
    @JsonProperty
    public Integer getSeasonNumber();

    @Override
    @JsonProperty
    public TeamType getTeam();

}

redpajama_set_name: RedPajamaGithub


10K Yellow gold Diamond Elephant Trunk Pendant 1.65 Mens Pave Charm 1.81 CT.
ART DECO LADIES GLYCINE PLATINUM & 14K WRIST WATCH WITH FULL DIAMONDS.
Nolan Miller gold Tone 15 Strands w Rhinestones Crystals 7 1 2 Bracelet Exc.
14k yellow gold pendant with triangle 9x9 mm, 3.00 ct c z, U.S made.


text:
The Mad Italian closes its doors after sane moment of epiphany
By Jon Sufrin | January 29, 2014
By Jon Sufrin | 01/29/2014
The Little Italy location of The Mad Italian (Image: Jon Sufrin)
The Mad Italian Gelato Bar seemed to be on an upward trajectory over the past few years, having expanded twice from its original Leaside location (first to Little Italy in 2011, then to the Danforth in 2012). But owner Eli Turkienicz has confirmed with us that the business is finished, and that all three locations are now closed.
Turkienicz says that a poor economy was a deciding factor in closing the business. "It was losing too much money," he says.
In addition to its gelato, The Mad Italian was known for its pizza cone (a.k.a the Zazzu), an oddball food item that managed to get a good amount of media attention. As for Turkienicz, he says he'll likely have some new projects on the go soon, but has nothing specific in the works just yet.
Topics: closings Little Italy Mad Italian Gelato Bar
One thought on "The Mad Italian closes its doors after sane moment of epiphany"
he should have served the Zazzu at the CNE which would have created buzz to draw more people to his establishments.


text:
\section{Introduction}

The behavior of elastic moduli in systems with steeply repulsive interaction potentials, when approaching the hard-sphere (HS) limit, appears as a controversial issue. The conventional expressions for the high-frequency (instantaneous) bulk and shear moduli~\cite{ZwanzigJCP1965,Schofield1966} predict their divergence as the HS limit is approached from the side of soft interactions~\cite{Frisch1966,HeyesJCP1994}. Various aspects of this divergence have been discussed in the literature. However, the divergence itself is not consistent with several other observations. For example, elastic moduli of HS solids are well defined~\cite{FrenkelPRL1987,RungePRA1987,LairdJCP1992}. The same applies to the HS glass~\cite{LowenJPCM1990}. The isothermal and adiabatic sound velocities of HS fluids follows directly from the equation of state and, thus, the corresponding bulk moduli are also well defined~\cite{RosenfeldJPCM1999}. Dense HS fluids can support both longitudinal and transverse collective excitations~\cite{BrykJCP2017}. indicating that the instantaneous shear modulus is also finite. In a recent study of dense fluids with inverse-power-law (IPL) interactions~\cite{KhrapakSciRep2017} it was observed that the measured longitudinal sound velocity smoothly approaches the HS limiting value as the potential steepness (IPL exponent) increases. All this points towards finite values of the elastic constants on approaching and in the HS limit. This seems physically reasonable: since structural and thermodynamic properties are known to approach smoothly and continuously the HS limit it is unclear why different behaviour should be expected from elastic properties.

About 50 years ago Miller derived expressions for the shear and bulk moduli of a HS fluid and demonstrated that these are non-singular and well defined~\cite{MillerJCP1969}. For some reasons, this result has not received due attention and was not analyzed at all. After finding that elastic moduli of true HS fluids are finite and well defined, Miller stated, in view of the apparent divergence of conventional expressions in the HS limit, that ``This result may lead one to suspect that a fluid with a highly repulsive, but continuous and differentiable, intermolecular potential may not always be even qualitatively represented by a fluid consisting of perfectly rigid spheres''~\cite{MillerJCP1969}.

To avoid any misunderstanding, two type of divergences can occur in HS systems. The first is natural and physically transparent: The HS pressure and elastic moduli will diverge upon compression when either the maximally dense fcc close-packing is reached (slow compression) or jamming transition occurs (rapid compression)~\cite{RintoulPRL1996,TorquatoRMP2010}. This type of divergence is not addressed. The divergence which is considered here occurs at a {\it fixed} fluid packing fraction when the interaction potential approaches the limit of infinite repulsion.

The aim of the present work is twofold. First, the missing numerical analysis of Miller's expressions for the HS moduli in three dimensions is provided. In particular, the elastic moduli are expressed in terms of the HS packing fraction. Then, the longitudinal and transverse sound velocities are evaluated in the dense fluid regime and some consequences for Poisson's ratio, Stokes-Einstein relation, and Cauchy identity are discussed. Second, the paradoxical divergence of the conventional elastic moduli expressions on approaching the HS limit is explained. By way of a simple derivation of the expressions for the instantaneous bulk moduli for one-dimensional and three-dimensionsl HS fluids, we demonstrate where exactly a problem arises in the HS limit. It is concluded that the divergence is artificial and the conventional expressions are simply not applicable in the HS limit.

Elastic moduli play extremely important role in various aspects of condensed matter physics and materials science~\cite{DyreRMP2006,NemilovJNCS2006}. One relevant example from the studies of glass-forming liquids is the shoving model, which relates the alpha-relaxation time to the instantaneous bulk and shear moduli and demonstrates that the shear modulus provides dominant contribution (phenomenon known as ``shear dominance'')~\cite{DyrePRE2004,DyreJCP2012}. Another example comes from the celebrated Lindemann criterion of melting~\cite{Lindemann}. This criterion states that a solid melts when the root-mean-square vibration amplitude of atoms around their equilibrium position reaches a certain fraction ($\sim 0.1$) of the interatomic distance. The vibration amplitude itself is related to the shear and bulk moduli (and the shear modulus again provides dominant contribution)~\cite{BuchenauPRE2014} .  One more example is related to the theory of melting in two spatial dimensions (2D).  According to the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) theory~\cite{KosterlitzRMP2017}, 2D melting is a two-stage process. The crystal first melts by dislocation unbinding to an anisotropic hexatic fluid and then undergoes a continuous transition into isotropic fluid. The condition for dislocation unbinding can be expressed in terms of (2D) shear and bulk moduli and shear contribution again dominates~\cite{KhrapakJCP2018}. Since the real physical systems of interest can be characterized by quite different interactions, including sufficiently steep potentials, it is not unimportant to understand what happens with elastic moduli when the HS limit is approached.

\section{Miller's result}\label{MillerRes}

Miller calculated the elastic bulk and shear moduli of the single-component fluid of rigid spheres~\cite{MillerJCP1969}. His method consisted of finding the general form of the stress tensor for a HS system, asserting the assumptions of local equilibrium, end expanding the stress tensor in terms of strains using the technique developed by Green. In the derivation he assumed that the duration of the collision between the hard spheres is zero and that simultaneous triple and higher multiplicity collisions are absent. Only the terms independent of the wavelength were retained in the long-wavelength expansion of the stress tensor. The derivation is quite involved and further details  are not reported here.

Expressed in conventional notation, Miller's result for the shear modulus reads
\begin{equation}\label{G}
G = nT\left[1-\frac{8}{5}\phi g'(1) \right],
\end{equation}
where $n$ is the density of $N$ particles occupying volume $V$ ($n=N/V$),  $T$ is the temperature (in energy units, so that $k_{\rm B}=1$), $\phi = (\pi/6)n\sigma^3$ is the packing fraction of rigid spheres having a diameter $\sigma$ (or reduced density), $g(x)$ is the radial distribution function ($x=r/\sigma$), and $g'(x)=dg(x)/dx$. As usually, the derivative at contact should be taken from above, that is $g'(1)=\lim_{\varepsilon\rightarrow 0}[d g(x)/dx]_{x=1+\varepsilon}$. The bulk modulus $K$ is then related to the shear modulus $G$ via
\begin{equation}\label{K}
K=2P-\frac{8}{3}nT+\frac{2}{3}\frac{P^2}{nT}+\frac{5}{3}G,
\end{equation}
where $P$ is the pressure. Originally, only the excess (configurational) contribution to the shear modulus was retained in Ref.~\cite{MillerJCP1969} We simply added the kinetic term $nT$ to this original result to produce Eq.~(\ref{G}) and modified the expression for the bulk modulus (\ref{K}) accordingly. Note that in the low-density limit, the ideal-gas results $K=(5/3)nT$ and $G=nT$ are recovered.

No further analysis of Eqs.~(\ref{G}) and (\ref{K}) was originally performed, except that the conventional expressions~\cite{ZwanzigJCP1965,Schofield1966} for high-frequency moduli $G$ and $K$ were provided for forthcoming comparisons. The conventional moduli are expressed in terms of the pairwise interaction potential $\varphi (r)$ and the radial distribution function (RDF) $g(r)$. The expressions are provided below for completeness:
\begin{equation}\label{G_}
G=nT+\frac{2\pi n^2}{15}\int_0^{\infty}dr r^3 g(r)\left[r \varphi''(r)+4\varphi'(r)\right],
\end{equation}
\begin{equation}\label{K_}
K=\frac{5}{3}nT+\frac{2\pi n^2}{9}\int_0^{\infty}dr r^3g(r)\left[r \varphi''(r)-2\varphi'(r)\right].
\end{equation}
The first terms correspond to the kinetic (ideal gas) contribution, the second terms are the excess (configurational) parts.

In order to make any progress with Eqs.~(\ref{G}) and (\ref{K}) we need to specify the derivative of the radial distribution function (RDF)  at contact, $g'(1)$, as well as the proper equation of state $P(n,T)$. For the RDF, the simplest approach is to use the results of Thiele~\cite{ThieleJCP1963} obtained within the framework of the Percus-Yevick (PY) approximate integral equation of state~\cite{ThieleJCP1963,WertheimPRL1963}. This yields (see Appendix for details)
\begin{equation}\label{RDF}
g'(1) = -\frac{9\phi(1+\phi)}{2(1-\phi)^3}.
\end{equation}
However, the PY result is known to underestimate the absolute magnitude of the derivative. An alternative semi-empirical expression, as simple as the PY approximation (\ref{RDF}), but predicting higher values for $|g'(1)|$ at high densities was therefore proposed~\cite{TaoPRA1992}
\begin{equation}\label{RDF1}
g'(1) = -\frac{9\phi(1+\phi)}{2(1-\phi)^4}.
\end{equation}
Later, molecular dynamics (MD) simulation results for $g'(1)$ have been shown to lie somewhere in between the predictions of formulas (\ref{RDF}) and (\ref{RDF1})~\cite{SigurgeirssonMolPhys2003}. In view of this and having no better recipe, we suggest to take a simple average of Eqs.~(\ref{RDF}) and (\ref{RDF1}), which yields
\begin{equation}\label{RDF2}
g'(1) = -\frac{9\phi(1+\phi)(2-\phi)}{4(1-\phi)^4}.
\end{equation}
The shear modulus then becomes
\begin{equation}
G=nT\left[1+\frac{18\phi^2(1+\phi)(2-\phi)}{5(1-\phi)^4}\right].
\end{equation}

Regarding the equation of state, we adopt the well known Carnahan-Starling (CS) formula~\cite{CarnahanJCP1969}. This formula was obtained by postulating that reduced virial coefficients in the virial expansion for HS pressure can be approximated by integers and finding a recursive relation for this coefficients. Although this is an approximation, it provides accurate enough results across the fluid density range and is convenient for practical applications.  If the pressure is written in the form $P(n,T)=nTZ(\phi)$, then the CS compressibility factor is
\begin{equation}
Z(\phi)=\frac{1+\phi+\phi^2-\phi^3}{(1-\phi)^3}.
\end{equation}

Quantitative results for the instantaneous bulk modulus (\ref{K}) can be compared with those for the adiabatic bulk modulus. The adiabatic bulk modulus is defined as $K_{S}=-V(\partial P/\partial V)_S\equiv n \gamma (\partial P/\partial n)_T$, where $V$ is the volume containing $N$ particles (so that $n=N/V$) and $\gamma=C_p/C_v$ is the adiabatic index. The differentiation is easily performed by noting that $n(\partial/\partial n)=\phi(\partial /\partial \phi)$. The result is~\cite{RosenfeldJPCM1999,KhrapakJCP2016}
\begin{equation}\label{Adiabatic}
K_{S}=nT\left[Z(\phi)+\phi dZ(\phi)/d\phi+\tfrac{2}{3}Z^2(\phi)\right].
\end{equation}
The first two terms on the right side correspond to isothermal modulus ($\gamma=1$), the last term reflects the adiabatic character of the considered process. In general, the inequality $K\geq K_S$ holds~\cite{Schofield1966}. Based on our previous experience with strongly coupled fluids with isotropic purely repulsive interactions,  an approximate equality $K\simeq K_S$ can be expected~\cite{KhrapakPRE2015,KhrapakPoP2016,KhrapakPRE2018}. In particular, in a recent study of fluids with IPL potentials ($\propto r^{-\ell}$), this approximate relation has been verified in the entire region where the conventional expressions for the elastic moduli are applicable ($\ell\lesssim 25$)~\cite{KhrapakSciRep2017}.

\begin{figure}
\includegraphics[width=7.5cm]{Figure1.pdf}
\caption{Reduced bulk modulus of a HS fluid versus the packing fraction $\phi$. The red solid curve is calculated using Eq.~(\ref{K}). The blue dashed curve corresponds to the adiabatic bulk modulus of Eq.~(\ref{Adiabatic}). The black dotted curve shows the isothermal bulk modulus for comparison.}
\label{Fig1}
\end{figure}

Figure~\ref{Fig1} compares the elastic moduli defined by Eqs.~(\ref{K}) and (\ref{Adiabatic}). We see that
$K$ and $K_S$ are quite close. The relative deviation increases with $\phi$ and reaches $\simeq 10\%$ near the fluid-solid phase transition. Both quantities are considerably larger than the isothermal bulk modulus $K_T=nT\left[Z(\phi)+\phi dZ(\phi)/d\phi\right]$ (black dotted curve in Fig.~\ref{Fig1}). The ratio $K_S/K_T$ increases monotonously from $5/3$ at $\phi\rightarrow 0$  (as it should be in the ideal gas) to $\simeq 3$ at $\phi\simeq 0.5$. Overall, the rather good quantitative agreement between $K$ and $K_S$ gives us confidence in the discussed approach. Some of its immediate consequences are discussed below.

\section{Consequences}

The phase diagram of HS systems is relatively simple~\cite{RintoulPRL1996,TorquatoRMP2010}. The phase state is determined by a single parameter -- packing fraction $\phi$. The fluid branch starts at $\phi=0$ and continues up to the freezing point at $\phi_{f}\simeq 0.494$. Fluid and solid coexist in the range between the freezing and melting points, $\phi_m\simeq 0.545$. The maximum solid packing fraction is the close-packed fcc crystal with $\phi_{cp}\simeq 0.74$. There is also a metastable extension of the fluid phase (that can be regarded as glass) above the melting point, which can be visited under rapid compression. The most rapid compression likely leads to the random close-packing, or, according to the new concept the maximally random jammed (MRJ) state with $\phi\simeq 0.64$~\cite{TorquatoRMP2010,TorquatoPRL2000,KlumovPRB2011}.

Miller's derivation assumes isotropic conditions, and hence his results are not applicable to the solid phase. They may be applicable to the amorphous glassy phase, but to analyze this quantitatively we would need an equation of state and derivative of the RDF at contact fundamentally different from those specified in Sec.~\ref{MillerRes}. Therefore, the calculations are presented for the packing fraction below that at the freezing point. On the other hand, recent investigation~\cite{BrykJCP2017} has demonstrated that the shear mode can only be supported in HS fluids at sufficiently high densities. Although the instantaneous shear modulus of Eq.~(\ref{G}) is finite at any density due to the presence of the kinetic term, it is apparently not a relevant quantity at low densities~\cite{BrazhkinJPCB2018}. Consequently, the minimum packing fraction is chosen $\phi\gtrsim 0.2$. For these reasons, numerical results will be presented for the range $0.2\leq \phi \leq 0.494$.

It is convenient to present the calculations in terms of the longitudinal and transverse elastic sound velocities. The longitudinal velocity $c_l$ is related to the instantaneous longitudinal modulus $M=K+(4/3)G$, while the transverse sound velocity $c_t$ is expressed using the shear modulus. These relations are~\cite{Stratt1997}
\begin{equation}
c_l^2=M/mn, \quad\quad c_t^2=G/mn,
\end{equation}
where $m$ is the HS mass. The adiabatic sound velocity is
\begin{equation}
c_s=K_S/mn,
\end{equation}
and from the results above this is close to the high-frequency (instantaneous) sound velocity, $c_{\infty}\simeq K/mn$. The characteristic velocity scale associated with the thermal motion of hard spheres is the thermal velocity $v_T=\sqrt{T/m}$. In the following all velocities are expressed in units of thermal velocity.

\begin{figure}
\includegraphics[width=7.5cm]{Figure2.pdf}
\caption{Reduced sound velocities in a HS fluid versus the packing fraction $\phi$. Curves from top to bottom correspond to the longitudinal, instantaneous ($\simeq$adiabatic), and transverse velocity, respectively.}
\label{Fig2}
\end{figure}

Figure~\ref{Fig2} presents the calculation of acoustic velocities in HS fluids. The curves from top to bottom correspond to the longitudinal, instantaneous ($\simeq$ adiabatic), and transverse velocity, respectively. The reduced velocities increase monotonously on approaching the freezing point. At this point ($\phi= 0.494$) we get $c_l/v_T\simeq 14.8$, $c_s/v_T\simeq 12.6$, and $c_t/v_T\simeq 5.6$. The exact numbers can have some (relatively weak) dependence on the concrete form of the derivative of the RDF at contact and equation of state~\cite{KhrapakJCP2016}.

The ratio of the longitudinal and transverse sound velocities is plotted in Fig.~\ref{Fig3} (solid curve). It is relatively weakly dependent on $\phi$ with $c_t/c_l\simeq 0.38$ in the dense fluid regime. A quantity, directly related to the ratio of the longitudinal and transverse sound velocities, is Poisson's ratio~\cite{Greaves2011}, which can be expressed as
\begin{equation}
\gamma = \frac{1}{2}\frac{c_l^2-2c_t^2}{c_l^2-c_t^2}.
\end{equation}
In the present context, $\gamma$ should be referred to as the infinite-frequency or instantaneous Poisson's ratio.
This quantity is shown in Fig.~\ref{Fig3} by the dashed curve. It does not vary much in the dense fluid regime and numerically it is slightly above $0.4$ in the entire range of densities considered. Note that Poisson's ratio of about $0.4$ has been reported for an fcc HS crystal at thermodynamically unstable density corresponding to a fluid-solid coexistence~\cite{FrenkelPRL1987}.

\begin{figure}
\includegraphics[width=7.5cm]{Figure3.pdf}
\caption{Ratio of the transverse to the longitudinal sound velocity $c_t/c_l$ (blue solid curve) and Poisson's ratio (red dashed curve) of a HS fluid versus the packing fraction $\phi$. }
\label{Fig3}
\end{figure}

The ratio of sound velocities can also be important in the context of the Stokes-Einstein (SE) relation. For self-diffusion of atoms in simple pure fluids the SE relation takes the form~\cite{ZwanzigJCP1983,Balucani1990,OhtoriJCP2018,KhrapakAIPAdv2018,
CostigliolaJCP2019,KhrapakJCP2019}
\begin{equation}\label{SE1}
D\eta(\Delta/T)=\alpha,
\end{equation}
where $D$ is the self-diffusion coefficient, $\eta$ is the shear viscosity coefficient,  $\Delta=n^{-1/3}$ is the mean interparticle separation, and $\alpha$ is the SE coefficient. Moreover, the value of $\alpha$  can be related to the properties of
collective excitations~\cite{ZwanzigJCP1983}, and expressed in terms of the transverse-to-longitudinal sound velocity ratio, $\alpha\simeq 0.13(1+c_t^2/2c_l^2)$~\cite{KhrapakJCP2019}.  The expected dependence of the SE coefficient on $\phi$ for a dense HS fluid, resulting from this approximation, is plotted in Fig.~\ref{Fig4} (solid curve). This dependence is very weak: $\alpha$ is just above $0.14$ in the entire densities range considered. Recent MD simulations~\cite{OhtoriJCP2018} reported $\alpha$ in the range from $1/2\pi\simeq 0.159$ to $1/6\simeq 0.167$ for a similar range of $\phi$, which is somewhat above the theoretical expectations. It should be noted, however, that the effect of a finite particle number in simulations of the transport coefficients of HS fluids and the way how these coefficients are approaching the thermodynamic limit are not very thoroughly investigated (note, however, a very recent paper~\cite{HSNew}, where this thematics has been addressed). This can be one of the possible reasons behind the observed discrepancy. In an alternative form of the SE relation, the HS diameter $\sigma$ is used instead of the mean interparticle separation~\cite{Heyes2007}
\begin{equation}\label{SE2}
D\eta(\sigma/T)=\alpha_1.
\end{equation}
The calculated coefficient $\alpha_1$ is shown in Fig.~\ref{Fig4}. It demonstrates a stronger dependence on the packing fraction and thus is less appropriate. The numerical value  $\alpha_1\simeq 0.14$ at freezing is again somewhat lower than that obtained in MD simulations ($\simeq 1/2\pi$)~\cite{Heyes2007,HeyesJPCM2007}.

\begin{figure}
\includegraphics[width=7.5cm]{Figure4.pdf}
\caption{Stokes-Einstein coefficient of a HS fluid versus the packing fraction $\phi$. The solid curve corresponds to the SE coefficient as defined by Eq.~(\ref{SE1}).  The dashed curve corresponds to an alternative formulation, Eq.~(\ref{SE2}). }
\label{Fig4}
\end{figure}

The generalized Cauchy identity relating the shear and bulk (or longitudinal) moduli of isotropic fluids is very well known~\cite{ZwanzigJCP1965,Schofield1966,FiorettoJCP2008}. It is obtained from expressions (\ref{G_}) and (\ref{K_}) by requiring cancellation of the terms with $\varphi''(r)$ and relating the rest to the pressure, which contains the term with $\varphi'(r)$ (see below). The results is

\begin{equation}\label{GenC}
M-3G = 2(P-nT).
\end{equation}
At zero absolute temperature the right-hand-side of (\ref{GenC}) vanishes and we recover $M=3G$ or $K=\tfrac{5}{3}G$, known in the theory of elasticity of solids~\cite{LL_elasticity}. Originally, it was thought to be applicable to any isotropic fluid with two-body central interactions between the particles~\cite{ZwanzigJCP1965}. However, the derivation assumes continuous and differentiable potentials and hence does not apply directly to HS fluids. By comparing Eqs.~(\ref{G}) and (\ref{K}) we immediately see that Eq.~(\ref{GenC}) is not satisfied. Instead, Miller's result implies
\begin{equation}
M-3G = 2\left(P-nT\right)+\frac{2}{3}\left(\frac{P^2}{nT}-nT\right).
\end{equation}
The second term on the right dominates at finite temperatures and high densities. At zero temperature, $M=3G$ is again recovered.

\section{Discussion}

Let us return to the important problem of the divergence of conventional expressions for the high-frequency elastic moduli on approaching the HS interaction limit. By following a simple conventional derivation of the expression for the excess bulk modulus (which incorrectly leads to the diverging modulus) it is demonstrated where this (unphysical) divergence emerges from.

For simplicity, we start with the one-dimensional (1D) situation. The starting point is the virial expression for the pressure~\cite{Tonks1936}
\begin{equation}
P=nT - (1/V)\sum r\varphi'(r),
\end{equation}
where the summation extends over all pairs of particles. We use the conventional 3D notation, one should bear in mind than in 1D case the role of pressure is played by the force length product, volume is the length,  density is inversely proportional to the length, etc. The virial expression can be expressed in the integral form using the RDF $g(r)$ and summing over particles~\cite{HansenBook}. The excess pressure (associated with the interactions between the particles is)
\begin{equation}\label{Pex1}
P_{\rm ex}= -n^2\int_0^{\infty}dr r\varphi'(r)g(r).
\end{equation}
Here the factor $\tfrac{1}{2}$ which should be present to avoid double summation is canceled when we substitute $\int_{-\infty}^{\infty}(...)dr$ by  $2\int_{0}^{\infty}(...)dr$. The excess bulk modulus  $K_{\rm ex}=n(\partial P_{\rm ex}/\partial n)$ is
\begin{equation}\label{K1}
K_{\rm ex} = 2P_{\rm ex}-n^3\int_0^{\infty}dr r \varphi'(r)\frac{\partial g(r)}{\partial n},
\end{equation}
where the second term on the right-hand side includes the implicit density dependence of the RDF.  In general it depends on the particular thermodynamic process considered.  In the high-frequency (instantaneous) limit no relaxation is allowed and the density change occurs without any rearrangement of the particles~\cite{SingwiPRA1970}. This implies that the RDF, scaled by the interparticle separation, is a universal function, $g(rn)={\rm const}$. From the thermodynamic perspective the process considered occurs at a constant excess entropy (and this may explain why the instantaneous bulk modulus is usually close to the adiabatic one). In the context of isomorph concept, the  considered path is along an isomorph where structure and dynamics in properly reduced units
are invariant to a good approximation~\cite{DyreJPCB2014}. The requirement for the RDF is $g(r+\delta r; n+\delta n)=g(r;n)$ under $rn={\rm const}$, which immediately results in
\begin{equation}\label{RDF1D}
\frac{\partial g (r; n)}{\partial n}=\frac{r}{n}\frac{\partial g(r; n)}{\partial r}.
\end{equation}
Substituting this into Eq.~(\ref{K1}), integrating by parts, and using Eq.~(\ref{Pex1}) we finally obtain
\begin{equation}\label{K3D}
K_{\rm ex}=n^2\int_0^{\infty}dr r^2g(r)\varphi''(r).
\end{equation}
Consider now the IPL interaction potential $\varphi(r)=\epsilon(\sigma/r)^{\ell}$, where $\epsilon$ is the energy scale. It approximates the HS potential as $\ell^{-1}\rightarrow 0$. Simple algebra allows us to relate $K_{\rm ex}$ and $P_{\rm ex}$ in this special case:
\begin{equation}
K_{\rm ex}=(\ell+1)P_{\rm ex}.
\end{equation}
The pressure in the HS limit is known {\it exactly} in 1D case. The Tonks results is~\cite{Tonks1936}
\begin{equation}
P_{\rm ex}=nT\frac{\phi}{1-\phi}.
\end{equation}
It only diverges at the highest packing fraction $\phi=1$, otherwise remaining finite. From this we conclude that the 1D bulk modulus exhibits  a divergence $\propto \ell$ as $\ell^{-1}\rightarrow 0$. The origin of this paradoxical behaviour can be immediately identified. It is the assumption of no structural rearrangement [independence of $g(rn)$ of $n$] that causes problems. While this is a very well justified assumption for sufficiently soft interactions, it is clearly not applicable to HS-like interactions, because an intrinsic length scale -- the hard sphere diameter  (or the hard rod length in 1D) -- emerges. Thus, the divergence of the high frequency elastic moduli in the limit of very steep interactions appears artificial. Rather, the conventional expressions must not be applied in this limit.

The derivation is easily generalized to the 3D situation. We begin with the 3D virial expression~\cite{Tonks1936}
\begin{equation}
P=nT - (1/3V)\sum r\varphi'(r),
\end{equation}
to get
\begin{equation}\label{Pex2}
P_{\rm ex}= -\frac{2\pi n^2}{3}\int_0^{\infty}r^3\varphi'(r)g(r) d r.
\end{equation}
Differentiating (\ref{Pex2}) with respect to $n$ gives
\begin{equation}\label{dK}
K_{\rm ex}= 2P_{\rm ex}-\frac{2 \pi n^3}{3}\int_0^{\infty}r^3\varphi'(r)\frac{\partial g(r)}{\partial n} d r.
\end{equation}
The requirement of no rearrangement and the constancy of $g(rn^{1/3})$ in 3D results in~\cite{SingwiPRA1970,KhrapakPoP2016_Onset}
\begin{equation}\label{RDF3D}
\frac{\partial g (r; n)}{\partial n}=\frac{r}{3n}\frac{\partial g(r; n)}{\partial r}.
\end{equation}
Substituting this into Eq.~(\ref{dK}) and integrating by parts we immediately obtain
\begin{equation}\label{K3D}
K_{\rm ex}=\frac{2\pi n^2}{9}\int_0^{\infty}dr r^3g(r)\left[r\varphi''(r)-2\varphi'(r)\right].
\end{equation}
This coincides with the excess part of Eq.~(\ref{K_}). For the IPL interaction we get
\begin{equation}
K_{\rm ex}=\frac{\ell+3}{3}P_{\rm ex}.
\end{equation}
The excess pressure is finite (and positive) for all $\ell>3$ and smoothly approaches the HS limiting value as $\ell^{-1}\rightarrow 0$~\cite{AgrawalMolPhys1995}. This implies that the bulk modulus exhibits again a divergence $\propto \ell$ as $\ell^{-1}\rightarrow 0$. The same is true for the shear modulus. This was recognized quite early~\cite{Frisch1966} and has remained a controversial issue since then. For different opinions see for instance Refs.~\cite{MillerJCP1969,HeyesJCP1994,HeyesMolPhys1998,PowlesMolPhys2000,RickayzenJCP2003,DuftyGraMat2011}.
On the other hand, since the structural and thermodynamic properties are approaching smoothly and continuously the HS limit~\cite{AgrawalMolPhys1995,KhrapakJCP2011,JoverJCP2012,YurchenkoJPCM2016}, similar behavior should be expected from the elastic properties~\cite{DuftyMolPhys2004}.

From the derivation above we see where the problem is. Exactly as in 1D case, the assumption of no structural rearrangement [independence of $g(rn^{1/3})$ of $n$] is not consistent with the intrinsic length scale in the system -- the hard sphere diameter. The conventional expressions for elastic moduli are just meaningless in the HS limit.

We can formulate our result a bit differently. All the reduced properties of HS systems are uniquely determined by a single parameter -- the packing fraction. Therefore, the thermodynamic path that conserves the RDF (excess entropy) upon changing the packing fraction is simply not possible at equilibrium. This makes convenient formulas inapplicable.

In our previous study of collective motion in IPL melts~\cite{KhrapakSciRep2017}, it was observed that the conventional expressions for the elastic moduli are apparently applicable down to $\ell^{-1}\sim 0.04$. The question of how the HS limit is approached for $0\lesssim\ell^{-1}\lesssim 0.04$ remains unsolved and we hope to address it in future work.

\section{Conclusion}

Main conclusions can be formulated as follows. The elastic moduli of HS fluids that are responsible for sound velocities and related elastic properties are finite. Expressions derived by Miller~\cite{MillerJCP1969} have been numerically analyzed and some consequences have been pointed out. The origin behind the unphysical divergence of the conventional expressions for the instantaneous elastic moduli when approaching the HS limit has been identified and discussed. Using the IPL repulsive potential ($\propto r^{-\ell}$) as a reference example, we suggest that the conventional expressions can only be applied in the sufficiently soft interactions regime,  $\ell\lesssim 25$. Fortunately, this range includes most of the interactions existing in real world. Nevertheless, it would be interesting to investigate how the HS limit is reached at $\ell\gtrsim 25$. The results presented in this article can serve as a first step towards this goal.

The question about what can be the frequency response of a HS fluid when the frequency of external perturbation increases above all frequencies relevant to the system has not been considered. There are theories that predict frequency divergence of the shear modulus as $\propto\sqrt{\omega}$ in this truly infinite-frequency limit~\cite{CichockiPRA1991}. This point is beyond the scope of the present work.

\acknowledgments
I would like to thank Bruce Miller for the correspondence and useful suggestions and Mierk Schwabe for careful reading of the manuscript.

redpajama_set_name: RedPajamaArXiv


text:
Heading to the Liberty Bowl? Check out these parking guidelines
By John Varlas
If you're planning on attending Saturday's 59th AutoZone Liberty Bowl between Memphis and Iowa State, you'll want to familiarize yourself with the parking guidelines.
Stadium parking lots will open at 6 a.m. for the 11:30 a.m. kickoff. The cost of parking in a stadium lot will be $20 per space (cash only). Gates to the stadium will open at 9:30 a.m.
Visitors planning to park on-site are urged to arrive as early as possible because the game is a sellout. Enter on-site general parking at Access 10 on East Parkway and Young and Access 11 at Southern and Early Maxwell. All other parking lots are sold out, including Tiger Lane and parking for buses and RVs.
ADA parking is available via Access 4 on Hollywood. An approved placard must be displayed in the vehicle to use these lots.
Blues City Transportation will offer park-and-ride service to and from the stadium from the University of Memphis' central parking lot, located on Central between Zach Curlin and Deloach. Shuttle service begins at 7:30 a.m. and the cost round-trip per vehicle is $15.
Selected downtown and East Memphis hotels will also provide shuttle service through BCT.
More:AutoZone Liberty Bowl between Memphis Tigers and Iowa State officially sold out
More:Memphis vs. Iowa State: Five keys for Tigers to win the AutoZone Liberty Bowl
As with all stadium events, the clear bag policy will be in place. Guests will be allowed to bring in only the following:
— Bags that are clear plastic, vinyl or PVC and do not exceed 12x6x12 inches.
— One-gallon clear plastic freezer bags.
— Small clutch bags, approximately the size of a hand, with or without a handle or straps that can be taken into the venue with one of the clear bags.
Reach John Varlas at john.varlas@commercialappeal.com or on Twitter @johnvarlas.


text:
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FGN launches new Laboratories in the fight against Yellow Fever, Measles and Rubella in Nigeria!
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Home / NEWS / NCDC RESPONDS TO CASES OF YELLOW FEVER IN BAUCHI STATE
NCDC RESPONDS TO CASES OF YELLOW FEVER IN BAUCHI STATE
The Nigeria Centre for Disease Control has confirmed four cases of yellow fever in Bauchi State. Three of the confirmed cases are residents of Alkaleri Local Government Area (LGA) and the fourth case is a tourist who was visiting Kano State and also visited the Yankari Games Reserve in the same LGA in Bauchi State.
NCDC was first notified on the 29th of August, when we received the report of a confirmed case of Yellow Fever in Kano State from a laboratory in our Yellow Fever laboratory network.
Subsequent investigations led by the Kano State Epidemiology Team established that this confirmed case of yellow fever was from a patient who visited the Yankari Game Reserve in Bauchi, in August 2019 with his father.
Unfortunately, the father died with similar symptoms before a sample could be collected and tested. Subsequently, on the 3rd of September 2019, the Borno State Epidemiology Team reported deaths among students of Waka College of Education in Biu LGA Borno State. These students visited the Yankari Game Resort in August 2019. Of the 95 Students that visited the resort, eight of them developed symptoms and six had died as at the time of the report. The others are in a stable condition. Samples from these cases are being tested.
Intensification of surveillance activities has led to the identification of three more confirmed cases who are all resident in Alkaleri Local Government Area (LGA), of Bauchi state.
"Altogether, we can confirm four cases of yellow fever in people that either live or have visited Bauchi in the last one month." says Director General, Chike Ihekweazu a in press statement.
'Since it was notified, the NCDC has collaborated with the State epidemiologists of the affected States and the World Health Organization country office to investigate these events.'
'We have also deployed a rapid response team to support Bauchi State to carry out further in-depth investigations, including case finding, risk communications, and support the management of cases.'
Samples of the other suspected cases from Bauchi and Borno states are currently being transported to the NCDC National Reference Laboratory in Abuja for further testing.
'Today, we activated our Emergency Operations Centre to coordinate the response to this outbreak.' he remarks.
Yellow Fever virus is spread through bites of an infected mosquito. There is no human-to-human transmission of the virus. Yellow fever is a completely vaccine preventable disease and a single shot of the yellow fever vaccine protects for a lifetime.
The yellow fever vaccine is available for free in all primary healthcare centres in Nigeria as part of the routine childhood immunisation schedule. We encourage every family to ensure that children receive all their childhood vaccines.
In addition to the vaccine, the public is advised to keep their environments clean and free of stagnant water to discourage the breeding of mosquitoes and ensure the consistent use of insecticide treated mosquito nets, screens on windows and doors to prevent access for mosquitoes.
Especially, hikers, park visitors and people engaged with activities in the wild are encouraged to be vaccinated against yellow fever. It is important to avoid self-medication- visit a health facility immediately if you feel ill.
A multi-agency Yellow Fever technical working group coordinated by NCDC, has been leading the preparedness and response to yellow fever in Nigeria. The National Primary Health Care Development Agency is leading efforts to provide an additional opportunity of vaccination through preventive vaccination campaigns across the country.
Healthcare workers and members of the public are reminded that the symptoms of yellow fever include yellowness of the eyes, sudden fever, headache and body pain. If you have these symptoms or notice someone in your community displaying them, please contact your nearest primary healthcare centre.
NCDC	2019-09-07
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DotunRoy.com is a development driven news website with the overall goal of amplifying, promoting and advocating for positive societal change through Sustainable Development advocacy in line with UN SDGs components such as education, environmental sustainability and Climate Change, Human Rights, health, finance, housing, good governance as well as security in Nigeria and across the world.
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"I do not agree with Supreme court judgement" - Ihedioha - https://t.co/mzXA5Z8UZ9 https://t.co/9fVN4eoKDr 2020/01/16
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Our consumption of goods and services drives the engine that keeps almost all the economies of the world growing in terms of GDP, wealth, income, expenditure, etc.
One only has to think about the desperate scrambles by governments and business to get us spending again when consumption slumped in the Global Financial Crisis, 11 September 2001 shock, etc.
Depending on which Definition of Success, 'beacon', humans choose for their lives, and the path they take to get there, their needs and desires for goods and services can be dramatically different. Traditional societies, with their totally different beacon of success to modern society: a very small need for goods and services. Simple needs and desires which tended to remain largely static throughout a human life cycle and even generations.
At the other extreme, the ever increasing consumption of goods and services is a fundamental and significant element in traveling the path to 'THE Success' defined by the most developed nations, societies and individuals of the world. In the process, the level of consumption has almost become what defines that Success.
Depending on the intensity of this process of conception / delivery it leaves some form of ecological footprint behind i.e in some shape or form the process consumes some of the planets natural resources and / or it produces waste products. Both make a demand on the planets regenerative systems.
Once the 'good or service' comes to being used by the consumers there is invariably a 'usage response' that generates another ecological footprint. Once again these waste resources make a demand on the planet's natural regenerative systems.
It is almost exclusively our huge demand for goods and services, and the demand on nature's regenerative system, that is responsible for the planet overload to point where we require 1.6 Earths to meet this demand.
Human innovation has been impressive in its creativity and innovation in reducing process footprints, by improving efficiency, replacing inputs, and transforming our needs for goods and services. However the fact that the demand for more and more Earths just continues on the same upward trajectory, surely points to something fundamentally wrong with our human Definition of Success.
With the combination of the developed world's Definition of Success, it's dependency on ever increasing consumption, and our ever increasing crowd, the shock that we are demanding 1.6 planets and this is increasing should not be a surprise to the architects.
It is strange that as insightful, brilliant, and innovative that we humans are, we still can't see that our definition of Success is directly conflicting with this impossibility. Or maybe we can, but the will to change direction is not within global leaderships' vision and interests. One Point Zero aims to try and awaken us all to the insight of impossibility, and to unite us to effect change to the possible of a finite world Success.


text:
Q: How to clear a date in a form (Symfony2)? I would like to make a date clearable in a form (for example, with a little cross). The date field is already filled and I want to clear data. Is there an easy way to do this ?
My date is nullable and the option is set to 'required'=>false.
Here is the form class :
// Namespaces...
class FormRre extends AbstractType
{
    public function buildForm(FormBuilder $builder, array $options)
    {
        // Other $builder->add() properties...

        $builder->add('rredatefin', 'date', array('required' => false));
    }

    public function getName()
    {
        return 'sn';
    }

    public function getDefaultOptions(array $options)
    {
        return array(
            'data_class' => 'Creasixtine\AFBundle\Entity\Rre',
        );
    }
}

And here is the way it is currently displayed :
{% extends 'CreasixtineAFBundle:Default:index.html.twig' %}

{% block main_container %}
{# ... #}
<form action="{{ path('planifier') }}" method="post" {{ form_enctype(form) }}>
    {{ form_errors(form) }}
    <div class="bloc-input">{{ form_label(form.rredatefin, "Date de réexpédition :") }}
    {{ form_widget(form.rredatefin) }}
    </div>

    <input type="submit" />
</form>
{% endblock %}

Thanks by advance.
EDIT : precisions in answer to How to clear a date in a form (Symfony2)?

A: I'm not quite sure to understand.
If you made your date nullable and not required, just leave the field empty.
It should be enough.
Am I missing something ?

After comment edit

I'd advice you, as usual, to work with jquery.
And the .val() function in particular.
=> http://api.jquery.com/val/
$('#Devis_tarif_bi_horaire_select').change(function()
{
    $('#Devis_tarif_bi_horaire_value').val('')
});

For instance, this little script will clear the input with id=Devis_tarif_bi_horaire_value when a select with id=Devis_tarif_bi_horaire_select is modified.
You may trigger the .val() function with a click on a link (http://api.jquery.com/click/), or anything you want.
Have a nice try.


text:
The Color Black: A Conversation in Three Parts at 500X
by Danielle Georgiou June 2, 2013
The Color Black: A Conversation in Three Parts, recently on display at 500X, featured work from three young, local, upcoming artists: Diane Durant, Timothy Harding, and L.E. Doughtie.
Employing black and white photography (Durant), graphite drawing (Harding), and ink (Doughtie), each artist made new work under the overarching concept of the color black as a symbol for absence or void. All three use black as the primal element that obscures, rather than reveals information.
Durant's photographic and text installations (the first one, a large-scale wall graphic exploring her ideas of what the color black means, greets you as you walk in) are based on the artist's cross-country road trip that began in Cool, Texas, sent her to Cool, California, and ended in Cool, Iowa. In the grand tradition of the American road story, Durant documented her trip through image, text, relics and ephemera.
Diane Durant, Variations of Black (photo courtesy of the artist)
We experience her memories of the trip through stark images of abandoned buildings, photos of people she met along the way, and pages from her journal. Framed bits of text hung alongside her images, creating complex new narratives, and causing us to wonder if what we are reading and what we are seeing are related, or even authentic. Is that building really desolate? Or does the choice to photograph it in black and white force us to see it that way? We are used to newspaper print giving us the facts, the black and whiteness of the page leads us to believe that what we are seeing is true.
Diane Durant, Circus Circus (photo courtesy of the artist)
Durant pairs photographs of text with documentary-style photographs of old buildings, with an absurdist sense of humor that is typically American, and beautifully so. In Circus Circus, she pairs the text "The air was saccharine like strawberry ice cream and almost as pink" with her only color image in the show, a photograph of the Circus Circus Hotel in which small touches of red appear on the curb and the seat cushion in an otherwise black and white photograph—nuances carefully orchestrated to awaken past experiences in the mind of the viewer. Popcorn, cotton candy, and ice cream filled my nose; a few words left me with a soft chuckle and a lost memory.
Tim Harding's graphite drawings overtake the canvas on which they live, consuming it entirely, erasing both negative and positive space. The overwhelming ink application achieves oblivion, absent of any color but black. The drawings go beyond chaos, and return us to a quiet environment.
Timothy Harding, Pit (photo: Diane Durant)
Like Harding's past work, these new works explore the boundaries of drawing; they are intriguing exercises in which traditional drawing techniques, such as crosshatching, are taken to an extreme end, creating, not a picture, but an entirely new surface. Must we always stay in the lines? Harding says no, and these graphite pieces agree.
Timothy Harding, Upstairs Window (photo: Devyn Gaudet)
Harding's paper constructions also recall earlier pieces that respond to the architectural details of their environment. In the upstairs gallery, crumpled black drawings against the back wall spread the shine of the brushed black concrete floor up the wall to eye-level. This quiet, almost unassuming piece greets you as first walk up the stairs, calling you forward, and then asking you to kneel down and peer into its abyss.
L.E. Doughtie, Full
Doughtie's ink on paper drawings are painstakingly made. Each mark, each line is carefully placed, carefully structured to create a surreal landscape. From a distance, the black (sometimes red) latticework appears to be a surface of its own, floating above the paper. Her concern with detail is staggering; it challenges the viewer to look for errors, but the drawings are a pristine cacophony of ink work, without a stray mark.
L.E. Doughtie (detail)
Once you are eye to eye with the drawings, a new world of subtle details is revealed, as if you are looking into Doughtie's obsessed mind. Her process of exhausting pen after pen reveals her great respect, loyalty, and belief in the mark.
Danielle Georgiou is a video performance artist based in Dallas, TX. She is currently working on her Ph.D. in Aesthetic Studies at the University of Texas at Dallas.
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Skyline Aster is a part of the Riverdale project, which is sprawled across 5 acres of pristine environment along the river. Skyline Aster apartments lends you the best of both worlds. The old world charms of a quiet living environment and close proximity to all urban conveniences. The erstwhile royal town on one side with its heritage landmarks and the city across the river make it a strategic home location. The 3 bed designer apartments have space optimised design with ample natural light and air bracing every corner of the rooms.
Ceramic tiles for the entire apartment. Ceramic tiles for the entire apartment.


text:
{- |
module: $Header$
description: Probability
license: MIT

maintainer: Joe Leslie-Hurd <joe@gilith.com>
stability: provisional
portability: portable
-}

module OpenTheory.Random
where

import qualified OpenTheory.Primitive.Natural as Natural
import qualified OpenTheory.Primitive.Random as Random

vector :: (Random.Random -> a) -> Natural.Natural -> Random.Random -> [a]
vector f n r =
  if n == 0 then []
  else let (r1, r2) = Random.split r in f r1 : vector f (n - 1) r2

bits :: Natural.Natural -> Random.Random -> [Bool]
bits = vector Random.bit


When walking near grazing pastures, please keep dogs on a leash, avoid the herds, close gates behind you and stay on the marked trail as much as possible.
Please abstain from picking flowers (being caught with a bouquet of protected flowers is a punishable offence, with a fine of 135€).
Puy Pariou is the second the most visited site of the Chaîne des Puys.
Peaking at 1209 m, this volcano is 2 km south of the Puy de Dôme. Its crater reaches a depth of 90 m. Its last eruption occurred around the 6th century BC. Its image is used in association with Volvic water, making it one of the most famous volcanoes in the world.
The Puy des Goules is one of the highest points of the Chaîne des Puys with an elevation of 1146 m. It gets its name from the Latin word "gula" meaning "mouth" or "throat". This volcano is located 2.4 km south of the Puy de Dôme and 400 m south of the Puy Pariou. Its regularly-shaped crater is 30 m deep. Its last eruption took place 30,000 years ago. From its summit, enjoy views of several volcanoes, including the Puy de Dôme, the Puy Pariou, Puy de Côme, the Grand Sarcouy and others.
Nicknamed the "twins of the Chaîne des Puys", the Puy de la Vache and the Puy de Lassolas are the youngest volcanoes of the Chaîne des Puys. They were created just 8,400 years ago. The Puy de la Vache peaks at 1167 m and the Puy de Lassolas at 1187 m.
During their last eruption, the lava was not ejected from the summit of the volcano (as is usually the case) but flowed out from the side, giving these two volcanoes their unique shapes known as breached craters.
There are only a few caves hidden along the sides of our volcanoes. Three of them are the Sarcouy Cave, the Le Cliersou Caves and the Petit Suchet Caves.
The Sarcouy Caves are located on the eastern face of the Grand Sarcouy volcano. A former Merovingian quarry, blocks of lava were extracted from the shallow opening to make sarcophagi between the 5th and 7th centuries. The name Sarcouy comes from the word for "coffin" in an Auvergne dialect.
Truffade, Auvergne potée, aligot, petit salé with lentils, stuffed cabbage, apple tart, so many authentic dishes to delight your taste buds.


The Milford Chamber of Commerce, Inc. is pleased to announce their annual "Summer Nights by Harbor Lights" Concert Series for 2014, sponsored by Kapusta, Otzel & Averaimo, Attorneys at Law. The concerts are free to attend and will be held weekly on Friday evenings, 7:00 pm, at Fowler Field Rotary Pavilion.
The "Summer Nights by Harbor Lights" concert series begins on Friday, June 13, 2014 and runs through August 8, 2014. Check out this year's exciting line-up!
Residents are asked to please bring chairs or a blanket to sit on. Rain cancellation notices will be broadcast on WPLR and WICC radio stations.


Not encrypted connection between A and Z, B and Z.
# info from server: "processed: 1; failed: 0; total: 1; seconds spent: 0.000018"
Encrypted connection (PSK) between A and Z, not encrypted connection between B and Z.
### Encryption is not used for this connection due to only -z option passed.
# info from server: "processed: 0; failed: 1; total: 1; seconds spent: 0.000018"
All scenarios with processed: 0 items are actual problems. It seems to me what Zabbix Server incorrectly checking PSK for trapper items on host with enabled PSK encryption when data coming from some other host without encryption or with other PSK key.


text:
Home / Cargo Drones / Skyports partners with...
Skyports partners with Swoop Aero to provide UK-wide drone delivery service
Using the support of the Swoop Aero platform, Skyports' on-demand service will allow the transport of high-value, perishable cargo such as vaccines, medicines and pathology samples.
|29 Jan 2021 12:45 PM GMT
Drone delivery service provider, Skyports, has partnered with Australian drone-powered health logistics company, Swoop Aero, to provide UK-wide drone delivery service. In a UK-first, Skyports has chosen to leverage Swoop Aero's comprehensive aviation platform and 3D-printed electric drones to deliver a wide range of services including delivering essential medical supplies for the National Health Service (NHS) to remote areas.
With hospitals and NHS staff at capacity during the Covid-19 pandemic, deliveries of supplies between hospitals have become essential to the provision of basic healthcare. Using the support of the Swoop Aero platform, Skyports' on-demand service will allow the transport of high-value, perishable cargo such as vaccines, medicines and pathology samples.
Skyports specialises in operating end-to-end drone deliveries within the medical, e-commerce, and logistics sectors. The company is already conducting medical drone deliveries to assist the NHS in Scotland in the battle against Covid-19 and will be expanding its service in the coming months. Skyports is also helping Royal Mail to deliver to the most remote parts of the UK. The Swoop Aero platform is the latest to join Skyports' growing fleet of world-leading unmanned aircraft.
Swoop Aero is a drone-powered logistics company with established operations in five countries throughout Africa and the Pacific. At its core, the company offers a sophisticated drone technology platform which covers the full suite of autonomous aviation services. For Skyports this includes operations and mission management, software and handshake integration with existing logistics management systems, ground control, aircraft and hardware.
Skyports CEO Duncan Walker said, "There is a huge opportunity for drone delivery services in the UK – now more than ever. The demand for delivered goods is increasing and our service will support a wider network of hospitals and medical practices as they continue to respond to the Covid-19 pandemic. We want more healthcare facilities to benefit from our service over the long term and the addition of the Swoop Aero platform enables us to expand our offering nationwide."
Swoop Aero CEO Eric Peck said, "The Swoop Aero partnership model was designed to give organisations access to our comprehensive drone technology platform, and we are thrilled that we can enable Skyports to service those most in need during the pandemic. This approach is what makes us unique and we're proud that our technology is delivering better health outcomes at this all- important time."
Skyports
Skyports Swoop Aero drone delivery


You are currently browsing the archives for the tag 'Crème de la mer'.
Dear readers, let me invite you to my home to discover the hero, the icon, the original moisture miracle by LA MER.
In the beginning of September, I hosted a lovely intimate dinner with LA MER at my house for my dear friends. The evening was filled with everything we as women like – from discovering skincare products to sharing beauty secrets, from great conversations to playing games. Under the eye of a sea god with great abs, real mermaids were swimming in the pool while we enjoyed lots of PERRIER-JOUËT bubbly and a four-course gourmet meal.
A huge thank you the LA MER team – pure women power!
From left to right: Quynh Arguello, Jasmin Aziz and Maike Kiessling with me.
During dinner, Quynh and Jasmin gave us a lovely insight into the journey of the famous cream that began when Dr. Max Huber suffered burns in an experiment gone awry. Scientist by day, star-gazer and dreamer by night, he hoped to unlock the legendary healing powers of the sea he held so dear.
Living by the ocean, he was constantly inspired by marine life, especially the extraordinary, self-regenerating properties of giant sea kelp. Eventually he created his own method of unlocking potent activity from such pure ingredients, using the power of fermentation, an art that works like alchemy. Perfected over 12 years, after nearly 6,000 experiments, this transformative process finally produced the iconic cell-renewing Miracle Broth™ by using light and sound energies to amplify activity. The elixir that soothed his skin still flows through every LA MER product today.
Every time the Miracle Broth™ is created, it all begins with a starter drop from the previous batch – the unbroken link to Dr.Huber's very first Crème de La Mer.
I am truly a LA MER fan. I like that the fact that I don't need to worry about finding the right product. It is one cream, available in different textures and accompanied by additional products such as body care must-haves, serums, masks and more. Here I am explaining my addiction to the brand's self-tanning lotion.
As I am having very dry skin, I love to indulge in the original texture of the Moisturizing Cream. For those who will try it for the first time, don't forget to warm the product between your fingers before you apply it. If you prefer a lighter texture, I recommend using the Moisturizing Cool Gel Cream or the Moisturizing Soft Lotion.
During dinner we were able to try many different LA MER products and even enjoyed a fish sabayon served in the famous white jar.
On display was a preview of this month's launch: to celebrate Crème de la Mer's transformative touch, a vintage edition is available now featuring one of the brand's earliest jar designs.
After dessert, the ladies were invited around the pool to chance their luck by playing «Message in a Bottle». Our lovely sea god fished them for us. Each of us was gifted with a little note and three even got some extra surprises.
It was a beautiful summer night filled with laughter and fun. A huge thank you to LA MER for this beautiful idea and to all my lovely girlfriends for coming!
Adorned with shimmering sea fans and watercolor coral, LA MER introduces this year's Blue Heart Limited-Edition Crème de la Mer, already a true collector's cream, to commemorate WORLD OCEANS DAY! Inside the pot is the famous luxuriously rich cream that deeply soothes, moisturizes and heals away dryness. My skin looks naturally vibrant and feels restored to its healthiest center. The iconic Miracle Broth™ – the legendary healing elixir that flows through all of LA MER – infuses the skin with sea-sourced renewing energies. Available for CHF 490 (100ml).
LA MER has teamed up with Sea2See Eyewear to produce this pair of sustainable sunglasses, made entirely from sea-salvaged plastic and handcrafted in Italy.
WHAT IS LA MER OCEAN'S FUND?
The ocean's beauty is reflected in everything LA MER stands for. The sea is the brand's constant inspiration. Alongside a devoted community of advocates, explorers and scientists, LA MER advocates for ocean protection through charitable donations, awareness-raising initiatives, and supporting ocean conservation projects.
The sea in you is the sea in me – and LA MER seeks to honor and protect the living connection we all have to the Earth's precious seas for generations to come. Through the LA MER Blue Heart Oceans Fund's commitment to marine protected areas in the Azores Islands, Grenada and the East China Sea, the brand hopes to positively impact the future of our seas.
In the East China Sea, #LaMerBlueHeart supports the groundbreaking research development of global sustainable fishing strategies to bring harmony back to marine ecosystems.
Each year, LA MER team members around the world lead an effort to clean their local shores and beaches.
All life on Earth is connected to the ocean and its inhabitants. The more you learn about the issues facing this vital system, the more you'll want to help ensure its health. Share your connection with the Earth's ocean with #LaMerBlueHeart and mention @lamer for a chance to be featured.
TO SHOP LA MER ONLINE, CLICK HERE PLEASE.
Since 1992 when it had been first inaugurated, World Oceans Day has been unofficially celebrated every June 8th until its official recognition by the United Nations in 2009. It is an annual observation to honour the world's oceans, celebrate the products they provide such as seafood as well as marine life itself for aquariums, pets, and a time to appreciate its own intrinsic value.
To cherish the sea world, LA MER has launched BLUE HEART in 2014 with the commitment to support the protection of ocean habitats for generations to come and to raise awareness of the importance of healthy oceans worldwide.
To commemorate World Oceans Day and LA MER 's BLUE HEART foundation, a 100ml jar of Crème de la Mer with a limited-edition design will be available from now for CHF 490.00.
Always a magic moment for me: When you spot the sea of your holiday destination from the plane and you know you are going to jump in the crystal clear water within a few hours.
The brand also invites you to become an editor-at-sea and to share your story with the hashtag #LaMerBlueHeart. Have fun!
La Mer aficionados who are looking for a lighter version than the classic formula's thicker consistency, will be very pleased about the brand's fifth moisturizer to be launched this fall.
The new Moisturizing Soft Cream delivers the same radiance and renewal that made the original Creme de la Mer a legend in a supple new texture. Infused with the nutrient-rich Miracle Broth™, the heart of La Mer's profound powers of transformation, and Lime Tea Extract™, it penetrates deeply to replenish moisture and strengthen skin with the help of a new phospholipid technology. Renewed and energized, skin looks youthfully radiant.
Pat a small amount between fingertips and press gently into skin.
This week, I was invited to spend a night at the hotel Président Wilson in Geneva and to explore the first La Mer spa ever opened in Switzerland.
If you are not familiar with the La Mer brand, let me give you some facts about the cream that is much sought-after by celebrities all around the globe. It was invented by aerospace physicist Dr. Max Huber after he suffered an accident that severly burned his face. When medicine and other traditional means failed to heal his scarred appearance, he looked for the curative powers of the sea and natural regenerating properties of plants. The result was a precious elixir, with The Miracle Broth™ at its heart. Dr. Huber formulated Crème de la Mer (which works by the way truly fantastic if you got a sunburn).
The hotel Président Wilson was a wonderful experience with great service. The spa, which is located on the first floor, also offers relaxing sessions in the hammam, the sauna, the jacuzzi and the outdoor sea-water pool.
The spa has 5 rooms, one of which is reserved for massages for two. This was where I had my wonderful body treatment. My skin got exfoliated with The Body Refiner by La Mer that is infused with two carats of pure diamond powder leaving your skin smooth and glowing. After that treatment, I received a relaxing massage with The Body Crème by La Mer that could be described best as a seaweed wrap in a jar.
You can choose from many different treatments, for further information, click here.