text:
Asian Heritage Month: The Lived Experiences of Asian-Canadian Professionals
Celebrating Asian Heritage Month by featuring Asian Canadian professionals sharing their lived experiences in the workplace and beyond.
By Canadian Equality Consulting
Tue, 24 May 2022, 10:30 AM – 11:30 AM MDT
Join our free webinar aimed at celebrating Asian Heritage Month by featuring Asian-Canadian professionals who will be sharing their lived experiences with us. We will discuss topics including the significance of Asian Heritage Month, the impact of culture on identities and perspectives, barriers to generating success as an Asian-Canadian, and many more!
VICKI VAN CHAU - Vicki is a filmmaker and artist based in Calgary, Alberta, Canada. After 12 years of working as an arts administrator and programmer at EMMEDIA Gallery & Production Society, she left in 2020 to focus on her own film practice. During her time there, she was accepted into the Herland Video Production & Mentorship Program in 2016 and has since produced and directed several award-winning short films that have screened across Canada and internationally.
As a second-generation Chinese-Vietnamese Canadian, her short films mainly focus on the Asian diaspora experience. Her family and cultural identity has been a core inspiration in her artistic practice and helps her to promote the appreciation of both Chinese and Vietnamese culture through a uniquely Canadian perspective, focusing on the intricate visuals and sounds of each aspect she explores.
STEVEN NGO - Steven Ngo is a corporate / technology lawyer and currently works as counsel at Rivian. He is the Advocacy Chair of the Vietnamese Professionals Association BC (https://vpabc.ca) and is the Vice President of the Federation of Asian Canadian Lawyers BC (https://faclbc.ca). Steven is leading a movement called Fix Police Reporting that is focused on removing barriers to reporting hate crimes to the police (http://fixpolicereporting.ca). He has featured widely throughout national and international media including The Guardian, The Globe and Mail, CBC and various language-specific outlets for the Chinese, Vietnamese, Filipino, Japanese and South Asian communities.
In 2022, Steven was the recipient of the BC Medal of Good Citizenship, one of the highest honours bestowed to British Columbians, in recognition of his advocacy work during the pandemic. Because of Steven's relentless efforts, the Vancouver Police Department has now expanded its online hate crimes reporting forms to be available in 14 different languages and translated its website into over 100 languages (https://vpd.ca/report-a-crime/). But Steven has not stopped there. He is working to help make the reporting of hate crimes more accessible in cities across all of B.C. and Canada.
CASSANDRA HUI - Cassandra Hui is the founder and CEO of Heal Mary, has a background in data science and 10+ years in marketing and community building, Cassandra was also part of the Scotiabank financial hackathon winning team in 2016. Heal Mary was started after Cassandra began looking into treatment options after her mom and 2 sisters were diagnosed with cancer
Online Charity & Causes Seminars
#intersectionality
#asianamerican
#antiracism
#diversityandinclusion
#asianheritagemonth
#asiancanadian
#antiracismeducation
Canadian Equality Consulting
Combining lived and professional experience on boards
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Professional Circle Talk: Retrofitting Ontario's Concrete Heritage
US$0 - US$5
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Masterclass: Maximising the QSEP or SEPAR Professional Training Experience
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Build personal & professional experience – online – with Toastmasters
Tue, Jan 31, 2023 11:45 AM CST (-06:00)
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OurTYM Tamil Heritage Month: Tamils in Business 101
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7-Generation Healing: Lived Experience in Place
Fri, Feb 3, 2023 10:00 AM EST (-05:00)
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Heritage for All - Workshop #4 (ENGLISH)
Tue, Feb 7, 2023 11:00 AM EST (-05:00)
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Home Articles ISSUE III: Ladies, start your Landys!
ISSUE III: Ladies, start your Landys!
For too long, 4x4ing has been typecast as a man's domain and women have had to sit in the passenger seat serving the padkos and coffee while their petrolhead husbands get to have all the fun. As we can see by some of the SWAMBO stories, women can certainly hold their own with the boys. In light of Women's Month, we sent our beloved ladies on a special Land Rover Experience they'll never forget. Through the Stellenbosch vineyards, and along the various wine routes, a group of special ladies endure the cold and rain and get an opportunity to experience the entire Land Rover fleet, thanks to Land Rover Experience Western Cape and Land Rover Stellenbosch. See our gallery with some great shots of the outing.


A summer garden is extremely satisfying for me. I'll be honest: they're a lot of work. And while you may not have the luxury of space like I do here in Iowa, you may be able to utilize containers to grow a few plants to use! I love to grow vegetables that I can use in cooking, baking and of course preserving (have you seen my canning posts?!).
Herbs complement any salad and, in so many cases, baked goods as well. I love to use them in unique and unexpected ways. Peppers range from sweet to extra hot and I always make sure to plant a variety, depending on how I want to use them. I planted the ghost pepper this summer and it's almost more than I can handle. I've never met a pepper I couldn't handle…until the ghost pepper.
In my opinion, tomatoes are a summer must have. Period. Boughten tomatoes are just okay, but once you have a homegrown, vine-ripened tomato, you'll be hooked. I also love to grow a variety of beets and turnips. And yes, I know that makes me sound old but many varieties have a sweet flavor that I simply crave all summer long!
For many people new to gardening, there can be unknowns. Oftentimes, people ask me how much they should water, if their soil is good enough for a garden (or whether it needs a bit of fertilizer) or if they're getting too much sunlight. These are definitely questions you will learn the answer to as you grow and learn along the way. But sometimes a little help and assurance is nice. Edyn has come out with a hands down amazing garden sensor that actually helps answer so many unknowns. While a new gardener likely has numerous questions, this sensor is also a great tool for seasoned gardeners. You simply put it in the soil and voila! It syncs right to your smartphone and gives you all kinds of data: moisture, humidity, sunlight and nutrition.
I truly hope you're inspired to grow something this summer. Whether it's a large garden or small container, there is a size for everyone!
This post is sponsored by Edyn. All views expressed in this video and post are my own and do not represent those of Edyn.
Do you have much wildlife in Iowa? I didn't see any fencing around your kitchen garden. Do you have any trouble from the critters? I'm in NH where I have deer, woodchucks and other wildlife in my yard on a daily basis.
I'm growing herbs in my kitchen and I will never stop doing it – they are such a fresh addition to ANY meal, and usually herbs are extremely easy to grow. What I have in my garden is mint, dill, rosemary and basil. I'm currently searching for ideas how to arrange them in the small space of my kitchen because I want to grow even more plants in there. Thanks for the article, wishing you all he best!


text:
1325 Peace Conference
In January 2020 the Trump Plan was published, which is widely accepted by the current Israeli government and right-wing parties and objected by humanists, the Palestinian government and the majority of leaders who agreed to implement international law.
The plan does not recognize the women's role in terms of prevention, protection and participation as highlighted in the UNSCR 1325. Women were neither considered as a partner in the process of its creation, nor was a role for women defined in the implementation of the peace deal. Women are mentioned only twice on 181 pages, thus largely ignoring international law, the previous agreements reached by both sides, the respective parliaments – and the democratic checks and balances of a pluralistic society.
Sustainable peace is only possible if a mutually acceptable political solution is agreed upon, which is supported by the moderate and compromising citizens of both societies. 20 years after the adoption of UNSCR 1325 it is time to transform the words and resolutions into reality on the ground of diplomacy and mutual support. We are firmly convinced that, in this complex, polarized and highly emotional conflict, women leaders can facilitate a solution-oriented discourse.
The resolution provides that governments and a representative number of women negotiate the political treaty together and initiate a social, economic and cultural process of confidence-building and cooperation. We believe that a serious exploration of the active role of women in both societies can make a significant contribution to advancing the Israeli-Palestinian peace process.
We imagine that law based goverments e.g. the German government, will issue an invitation to the Israeli and Palestinian Prime Minister/leader to meet in the near future for a peace conference that includes women from the relevant civil society.
A donor conference should be organized for representatives of the international community in order to promote economic development in such a way that a decent, self-determined, free life is made possible for Palestinians and Israelis alike.
The outcome of a 1325 Peace Conference shall not be predetermined by externals, as in the Trump Plan, but explicitly be achieved by the participants on an equal and transparent basis.
We look to countries such as Germany as one of the key players, both as a country and as a non-permanent member of the Security Council (2020) and as a leading part of the EU and the international community, to help move the process forward.
This is because Germany has a special relationship with the State of Israel due to its history, and, as a result, also a special relationship with the Palestinians. It has played an important role in stabilizing the State of Israel, and in helping to empower the PA its state-building endeavours. Germany has also succeeded in keeping the political balance between its special relationship with Israel and its fundamental commitment to regional stability in the Middle-East, on bases of justice and respect for international law and universal values.
That's how we envisage its support of the Palestinian people, in building the viability of their state and society, alongside the State of Israel.
The power of women peacebuilders
If you would like to share best practice examples, please contact us!

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Our Medical Copywriters are doctors and scientists with an in-depth understanding of medical concepts. This makes for clear and relevant content at the level of your target groups, whether it be physicians, nurses, patients, consumers, or other stakeholders.
We are constantly updated, and we have access to expert competence within the various national regulatory agencies for the marketing of pharmaceuticals in the Nordic region.
Many of our clients rely on us to handle their entire workflow in Zinc or PromoMats, from content creation and regulatory review through to final approval.


text:
Home Politics Great Britain, centrifugal force strengthened by Scottish vote
Great Britain, centrifugal force strengthened by Scottish vote
Virgil Harper
By DRAFTING
According to Stephen Enchelmeyer, an expert in European politics and lecturer at the University of Oxford, The 6 May elections have also reopened the question of relations between Scotland and the European Union as Nationalist Prime Minister Nicola Sturgeon won 64 seats in Edinburgh's Parliament, falling short of an absolute majority. A second independence referendum would obviously be unavoidable.
There is a significant increase of 5% in electionsAn independent Scotland of supporters today has 50%, up from 45% in the first referendum of 2014.
If there is a majority, then the referendum will be for an independent Scotland And this objective will be achieved, with the Edinburgh government asking it to enter the European Union. Scottish law is already aligned with the European one and therefore, there will be no legal problem. The problems will be political because Spain supported by France will oppose it and the support of all European countries is needed to accept the new member. The Spaniards do not want Scotland's entry to favor a similar demand for Catalonia.
What about the situation in Northern Ireland? The British government may oppose the request for a second referendum from nationalist Prime Minister Nicola Sturgeon, as it risks itself in a similar situation in Northern Ireland, where a future Ireland may have a majority in favor, Uniting with Dublin will become the capital. . Me too Wells The independence movement has a certain relevance. (Sir Agency)
Devoted problem solver. Tv advocate. Avid zombie aficionado. Proud twitter nerd. Subtly charming alcohol geek.
See also Scotland: Bishops' Conference reconstitutes to "respond to changing times"
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budget, more than 6 billion for investment in the next three years
Scotland: "Saint Margaret's Declaration" signed for "mutual recognition of Christian churches"
Wildlife and hunting skills. Government's proposal to transfer to the Ministry of Agriculture


Well I think my family and friends would describe me as someone who is down to earth, sociable, a good listener and someone with a good sense of humour. I love being around family and friends.
Interested in meeting people looking for online dating like AA03AS?


text:
Latest PR
iBLOCKCHAIN NEWS
Governor, TechCrunch, York's
New York's Governor Cuomo requires insurers to waive cost sharing for COVID-19 tests
by btctipme
In a move that other states might want to emulate, New York State Governor Andrew M. Cuomo said that the state's Department of Financial Services is requiring health insurers in the state to waive cost sharing associated with testing for the new coronavirus, COVID-19.
The initiative paves the way for low-cost emergency room, urgent care, and hospital visits for patients worried that they may have contracted the virus.
The Governor also said that New Yorkers receiving Medicaid coverage will not be expected to pay a co-pay for any testing related to the novel coronavirus, COVID-19. The steps are designed to ensure that residents of the state won't have to worry about cost as an obstacle for getting tested. Any tests that are being conducted at the State's Wadsworth Lab are fully covered.
Cuomo's administration also outlined other actions health insurers are either going to be required or advised to take — including informing New Yorkers of available benefits, offering telehealth medical advice and treatment, and preparing insurers to cover the costs of COVID-19 immunizations if a vaccine becomes available.
"We have the best health-care system in the world, and we are leveraging that system including our state-of-the-art Wadsworth testing lab to help contain any potential spread of the novel coronavirus in New York," Governor Cuomo said, in a statement. "Containing this virus depends on us having the facts about who has it – and these measures will break down any barriers that could prevent New Yorkers from getting tested."
The state's initiative will prevent insurers from forcing cost-sharing on in-network provider office visits or urgent care visits, when the purpose is a test for the novel COVID-19 coronavirus. The initiative is also designed to ensure that New Yorkers receiving Medicaid coverage have their costs covered.
Employees who are in self-funded employer-based plans not regulated b ERISA statutes need to contact employers to see how the new regulations will effect them.
The State is also requiring insurers to devote resources to inform consumers of available benefits; provide and promote telehealth services; encourage and verify whether provider networks are adequately prepared to handle potential increases in demand for services including offering access to out-of-network services; covering the costs of immunizations if they become available; expand access to prescription drugs; and ensure proper emergency care.
Merchants & Bitcoin
Shigeru Miyamoto gives a tour of the Super Nintendo World theme park
'Cyberpunk 2077' gets another patch to address HDR and V's 'modesty'
Google details what happened during Monday's cloud outage
https://mygeopay.com/wp-content/uploads/2018/06/banking.mp4
© 2021 Geopay.me Inc, 2013 - 2019 Visit Us


This morning on Hallmark Home & Family, one of my absolute favorite shows to watch AND visit, I shared a really simple DIY for Holiday decorating.
I had a lot of fun making this DIY Clothespin Christmas Tree at home, teaching the gang how to make it on set, and love how it looks in my living room.
Gather your clothespins and separate them from their metal spring. This is easy to do... simply pull the handles of the clothespin in opposite directions to loosen the metal, and gently wiggle them apart.
Prepare your tubes by removing any left over paper. If you want to eventually paint your trees, cover the tubes with tissue paper that matches the paint color you'll be using. If you are going to keep them "natural", no need to cover.
Using your glue gun, start glueing the pins onto the bottom of the tube, with the "inside" portion of the pin side down. You want to glue the slanted tip of the pin to the roll, so that the bottom of the pin slants down and hits the "ground" or table surface you're working on. Create your first layer of "branches" by gluing the pins side-by-side until you go all the way around the tube.
Work our way up the tube creating rows of clothespins. TIP: each row you do, attach the pin in between the two below it. This makes for more realistic branches, it's okay if you see a bit of the roll underneath.
When you're near the top you want to glue the middle of the clothes pin to the top area of the roll. The layer that finishes the tree off will be glued on top of this, so you want to have it pretty secure.
Finish off the top by holding two clothespins together with glue in the middle over the roll to see how wide they needed to be set apart, when this is dry, use it as the base to finish off the top, attaching pins to it to form a peak. Use smaller pins to fill in the gaps if needed, until it creates a 'cap' on the tree.
Add fun miniature decorations to your tree, or spray paint it first and then add your accessories!
If you make this little tree, be sure to post, and tag me on Instagram @meredithplays.
Not only is stopping by the Home & Family house always so much fun, I had time after shooting to romp around the set of "The Good Place", a big family fave in my house right now. SO cute!


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Safer homes and neighbourhoods
You can pay an environmental Fixed Penalty Notice (FPN) online
Advertising without permission
Filthy and verminous premises
Fly-tipping (dumped rubbish)
Illegal street trading
Nuisance in public places
Report car issues
Street litter
Unsecured commercial building
Unlicensed skips
Public spaces protection orders (PSPOs) are intended to deal with nuisance or problems that are detrimental to the local community's quality of life.
PSPOs work by imposing conditions on the use of the area so that the law-abiding majority can use and enjoy public spaces, safe from anti-social behaviour.
Where can it apply?
A council can make a PSPO on any public space within its own area. The definition of public space is wide and may include any place to which the public has access as of right or by permission.
How are they enforced?
Failure to comply with a PSPO is an offence which could result in a fine of up to £1,000 in a magistrates court. Police and council officers, and officers authorised by the council, can enforce the conditions of PSPOs and can issue fixed penalty notices of £80 for non-compliance.
What PSPOs are in place?
Parks and Public Places PSPO [45KB]
Street Racing PSPO [84KB]
What do residents say about PSPOs?
As the boroughs' by laws date back to 1976, it is timely to bring them up to date with the new legislation. The council consulted residents in March and April 2015 through a survey to establish residents' views on the council's proposals to up date the borough's by laws and make prohibitions and requirements under a PSPO covering all of the borough's parks and public places. A large majority of survey respondents were in favour of all of the proposed activities being punishable by a Fixed Penalty Notice (FPN).
Controlled drinking zone
A controlled drinking zone was introduced by in 2005, this gives police officers the power to stop anyone drinking alcohol if they consider that it is causing a nuisance or distress to others. Police officers can also confiscate open or sealed cans or bottles of alcohol if they think it is likely to be drunk in a public place. The controlled drinking zone has been replaced by similar powers in PSPOs.
The order does not mean that drinking alcohol in public places has been banned. The only people who will be affected are people whose drinking in public places causes nuisance or annoyance to others or are likely to be involved in disorderly behaviour.
Report public nuisance
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Page last updated: 19 Oct 2020


text:
ABCD1
is a gene
ClinVar ABCD1
GeneCards ABCD1
Diseases ABCD1
wikipedia ABCD1
google ABCD1
gopubmed ABCD1
EVS ABCD1
HEFalMp ABCD1
MyGene2 ABCD1
23andMe ABCD1
# SNPs 89
Max Magnitude
Chromosome position
rs1057516052 7.7 153,725,795
rs1057518721 0 153,723,558
rs11146842 7.7 153,743,056
rs11156606 0 153,741,041
rs128624213 7.7 153,726,137
From: Genetics Home Reference
The ABCD1 gene is located on the X chromosome, and it encodes the adrenoleukodystrophy protein (ALDP). ALDP is located in the membranes of cell structures called peroxisomes. Peroxisomes are small sacs within cells that process many types of molecules. ALDP brings a group of fats called very long-chain fatty acids (VLCFAs) into peroxisomes, where they are broken down.
More than 650 mutations in the ABCD1 gene have been found to cause X-linked adrenoleukodystrophy (many of which lack dbSNP rs-ids though). This condition is characterized by varying degrees of cognitive and movement problems as well as hormone imbalances. The mutations that cause X-linked adrenoleukodystrophy prevent the production of any ALDP in about 75 percent of people with this disorder. Other people with X-linked adrenoleukodystrophy can produce ALDP, but the protein is not able to perform its normal function. With little or no functional ALDP, VLCFAs are not broken down, and they build up in the body. The accumulation of these fats may be toxic to the adrenal glands (small glands on top of each kidney) and to the fatty layer of insulation (myelin) that surrounds many nerves in the body. Research suggests that the accumulation of VLCFAs triggers an inflammatory response in the brain, which could lead to the breakdown of myelin. The destruction of these tissues leads to the signs and symptoms of X-linked adrenoleukodystrophy. Note that there are three distinct types of X-linked adrenoleukodystrophy: a childhood cerebral form (CCALD), an adrenomyeloneuropathy type (AMN), and a form called Addison disease only (AI).
The prevalence of X-linked adrenoleukodystrophy is 1 in 20,000 to 50,000 individuals worldwide. This condition occurs with a similar frequency in all populations.
In popular culture, X-linked adrenoleukodystrophy has made an appearance through the 1993 movie 'Lorenzo's Oil', based on the true story of two parents and their search for a cure for their son. In the movie, the two parents were played by Nick Nolte and Susan Sarandon.
In 1989, the Odone's established The Myelin Project, a charity advancing research, advocacy, and family support for adrenoleukodystrophy (ALD) and adrenomyeloneuropathy (AMN). Efforts continue to find a cure.[1]
A 10 minute YouTube video describing ALD can be found here.
A ClinGen Actionability summary is available here and is associated with certain ABCD1 genotypes.
Retrieved from "https://www.SNPedia.com/index.php?title=ABCD1&oldid=1544238"


Pos started power kiting in 1996 before moving onto the world of kite surfing. He has over 8 years kite experience on water and snow topped off with 5 years of teaching experience. Having managed one of Australia's largest kite shops, Pos is the guy to get us up and away in the world of kite based FUN!
Languages: Au"zz"ie, English and German.


Why can't antibiotics be used to treat colds or flu?
Antibiotics kill bacteria, colds and flu are a virus not bacterial.
Antibiotics will not work for colds, flu, or other viral infections. Taking antibiotics when they are not needed increases your risk of getting an infection later that resists antibiotic treatment. If secondary infection by bacteria takes place, then antibiotics will be administered.
Because those illnesses are caused by viruses, and antibiotics don't work on viruses.
Antibiotics treat bacterial infections, not viruses. Colds and flu are caused by viruses. Antibiotics have no effect on either of them.
Colds and flu are caused by viruses, and antibiotics have no effect on viruses.
They are given all the time to treat them, but if they aren't bacterial and sensitive to the antibiotic they won't work.
Antibiotics can only kill or weaken bacteria because it interferes with their mechanisms. The cold and the flu are caused by viruses which are completely different from bacteria.
What usually happens during your first nuerological appointment? I have acne and it won't go away no matter how much I wash my face, help!? What if on Christmas I have Mumps, do I have to avoid people or can I still see them? Which blood vessel supplies the heart with its own blood supply? Why did atheists cry and throw fits when Trump won?


Pullman Adelaide's Executive Lounge, The Hindmarsh Club opened in November 2018. The brand new Executive Lounge is Stage 1 of Pullman Adelaide's $3 million upgrade and refurbishment. Privately accessed off the lobby,The Hindmarsh Club is the exclusive up-market offering for the hotel's executive, corporate, and Platinum member return guests where style and luxury meets functionality and sophistication.
A hallmark of all Pullman hotels, the Executive Lounge offers private and quiet workspaces with office facilities, together with a private meeting room featuring full connectivity and the latest technology. The design of the lounge reflects and celebrates the hotel's unique location overlooking Hindmarsh Square, while taking inspiration from the detailed architectural and cultural elements of the city and the surrounding Botanic Gardens and parklands. The lounge features extensive use of brass, Adelaide marble, honed travertine and white oak that reflects the contemporary design of Pullman Hotels and Resorts globally.
Start your day with the finest continental breakfast, and finish your day with complimentary drinks and canapes from 5:30pm – 7:30pm daily. To book your room and Executive Lounge experience click the booking link in the menu.


We know, as a club owner or manager, you are always looking for ways to differentiate yourself from the competition.
Attracting new members is hard, keeping them is even harder. It takes a lot to retain a member with all the competition. At ABC Financial, the Club Marketing team is committed to offering cost effective marketing tools designed to help health clubs get members and keep them. With that objective in mind, we are happy to offer an additional program designed to create member loyalty in a very unique way: enabling members to reduce their membership dues without affecting your club's bottom line.
ABC Financial has partnered with Billaway, the first rewards program of its kind that allows members to earn cash rebates from everyday shopping and then apply those rebates directly to their club membership bill. The result to the member is a reduction in his or her out-of-pocket costs while your health club still collects 100% of the membership revenue.
This unique membership rewards program is available to the 6,000 clubs served by ABC. The clubs, in turn, are able to offer the program to their more than 4.5 million members throughout the United States. The program enables members to convert qualified spending to cash rewards by shopping at more than 25,000 retail locations and 3,000 online websites such as CVS, Macy's, Staples, Walmart, and Target. Additionally, the program is easy to implement.
It goes without saying that most consumers appreciate the opportunity to save money on the bills they have to pay. We view the Billaway program as one more way to enhance your relationship with your members and differentiate your club from the competition.


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Q: OnSelectedIndexChanged event of RadioButtonList is not firing I have a RadioButtonList in asp.net. I am trying to do a simple thing i.e. to display or hide a div on changing the radio buttons from the list.But the event  OnSelectedIndexChanged is not firing. I am not getting the reason. This is the code
<asp:RadioButtonList ID="CityStateZip" runat="server" ForeColor="#333300" AutoPostBack="true" RepeatDirection="Horizontal"  Width="274px" CausesValidation="true" ValidationGroup="SchoolSearchGroup"  OnSelectedIndexChanged="CityStateZip_SelectedIndexChanged">
                <asp:ListItem  Value="1" Text="City and State" />
                <asp:ListItem Value="2" Text="Zip Code" />
</asp:RadioButtonList>

 code.........

code........

Code behind
 protected void CityStateZip_SelectedIndexChanged(Object sender,EventArgs e)
    {
        if (CityStateZip.SelectedValue == "1")
        {
            zipcodediv.Visible = false;
            citystatediv.Visible = true;
        }
        if (CityStateZip.SelectedValue == "2")
        {
            citystatediv.Visible = false;
            zipcodediv.Visible = true;
        }
    }

A: This is how you can do on client side.
Add JQuery Script file in head tag and your javascript function function name here (selectValue)
Tested Code:

Html Marup:

        <asp:RadioButtonList ID="CityStateZip" runat="server" onchange="return selectValue();"
            RepeatDirection="Horizontal">
            <asp:ListItem Value="1" Selected="True">City and State</asp:ListItem>
            <asp:ListItem Value="2">Zip Code</asp:ListItem>

        </asp:RadioButtonList>

Div one...

            Enter your City State content

Div two...

            Enter you Zip code content

A: I had the same problem as you and fixed it by adding AutoPostBack="true" to my RadioButtonList's definition in the ASPX.  It appears you have that in your definition already, but for anyone else who comes in here after this might be all you need.

A: While I agree with most of the answers that if this is simply what you are trying to do, then you should do it client side.  However, if you are doing some a bit more complicated that requires server-side action, you need to first figure out why your function is not being called.  While I am not an expert in this area, the first thing that I would look at is the protected call. Changing this to public might work for you.  Everything else that I have looked at seems to be in order.  Another piece of advice that I have for you is to check to see if your function is truly being called is to do something very simple, in your case, I would take out the if statements and see if this works:
    zipcodediv.Visible = false;
    citystatediv.Visible = true;
I use this technique whenever something is not being fired, or when I want to know when at what point the function is being fired or running into a problem.

A: My guess is you could have set the visibility of controls you have placed inside the div as false. If yes then remove it and try again. If not then it would be helpful if you post the code you have put inside the div too because you don't have any other mistake in your code and so the problem must be within the div.

A: Try changing CausesValidation to "false", if its any validation issue.

redpajama_set_name: RedPajamaStackExchange


text:
Q: MVC HttpPost receives a null parameter The controller file in the application HomeController.cs, defines the two controls SetPowerOff and [HttppPost] SetPowerOff.
public ActionResult SetPowerOff(int ID, string deepness)
    {
     .............
        if (Request.IsAjaxRequest())
        {
            var viewModel = new HomeSetPowerOffViewModel()
            {
                //List of devices
                Devicelist = list,
                age = 18

            };
            return PartialView("_SetPowerOff", viewModel);
        }
        else
        {
            return HttpNotFound();
        }
    }

[HttpPost]
public ActionResult SetPowerOff(HomeSetPowerOffViewModel homeSetPowerOffViewModel)
{
}

The Partial View returns the devices in a list.

@using (Html.BeginForm("SetPowerOff", "Home", FormMethod.Post, new { @class = "form-horizontal" }))
{

        <button type="button" class="close" data-dismiss="modal" aria-hidden="true">X</button>

Devices information

                @foreach (var devices in Model.Devicelist)
                {

                    @devices.Name;

                }

        @Html.ActionLink("Cancel", "Index", "Home", new { @class = "btn btn-danger" })
        <button type="submit" class="btn btn-success">
            Ok
        </button>

}

After I press the Ok button on the Partial View it goes to the HttpPost request. Here the homeSetPowerOffViewModel received is null and the age is 0. I would very much like to know why is resetting them.
Thanks for your time!

A: you dont have any inputs in your form so there is nothing to submit

A: Your view<form>does not contain the form field like <input><select><textarea> for the age field.
So when you submit, it will be set to default integer  value 0
Assuming age property of HomeSetPowerOffViewModel is a type of integer (int)

A: On post you receive hidden or any other input fields ( dropdowns, textbox and so on ). There is no such fields in your form.  ( you are not filling the model in any way )
Althought, you can submit with ajax and you can send whatever you want to your controller


text:
V Televisión was a Spanish commercial television channel owned by the Corporación Voz de Galicia. The channel was launched on 29 May 2010 The channel broadcast in the two languages of Galicia, Galician and Spanish.

References

External links
 Official site

Television stations in Galicia (Spain)
Spanish-language television stations
Mass media in Santiago de Compostela
Television channels and stations established in 2010
Galician-language television stations

redpajama_set_name: RedPajamaWikipedia


text:
Jul 5, 2021 - World
Dozens of people missing after deadly Japan mudslide
Members of Japan's Defense Force sift through mud and debris as they search for missing people at the scene of a landslide in Atami, Shizuoka Prefecture, on Monday. Photo: Charly Triballeau/AFP via Getty Images
Rescue workers in Japan were stepping up efforts to find 113 people still missing from a weekend deadly mudslide in Atami, west of Tokyo, the city's mayor told NHK Monday.
The big picture: Shizuoka Prefecture officials confirmed the deaths of three people following Saturday's disaster. Officials said some of those unaccounted for could've been away at the time, CNN reports. Crews were still finding survivors Monday, including a mother and baby who escaped injury despite their building being "buried in mud," per NHK.


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Protected: Where is this going?
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text:
Euchromia elegantissima är en fjärilsart som beskrevs av Hans Daniel Johan Wallengren 1861. Euchromia elegantissima ingår i släktet Euchromia och familjen björnspinnare. Inga underarter finns listade i Catalogue of Life.

Bildgalleri

Källor

Externa länkar

Björnspinnare
elegantissima


I have already shared a detailed information on the difference between WordPress.com and Self hosted WordPress blog, and for a newbie getting started with WordPress seems to be scary, but in reality, WordPress is the best Blogging platforms you can ever use. The very first step of getting started with your Website or blog with WordPress is to Install WordPress on Webhost you own. Official WordPress Codex offers a detailed WordPress installation tutorial for cPanel, and it looks like some scary coding for nontechnical people.
For beginners: What is WordPress?
Since WordPress is one of the most popular Blogging platforms and CMS, most of Webhosting offers scripts like one click installer to install WordPress with GUI interface and you don't need to touch any file or make any manual changes in the core file. Ex: WP-config.
In this tutorial, I will be sharing how to install WordPress on Hostgator cPanel within 5 minutes and seeing your site up and ready. The process is very simple, and anyone with limited computer knowledge can understand and do it in no time.
Hostgator is one of the popular WordPress Webhosting, and they offer various unlimited shared hosting plan, which cost less than $10/month. My recommendation would be grab Baby hosting package and a domain and get start with your WordPress blog in less than 5 minutes.
Once you are signed up with Hostgator, you will get Email containing all login information. Simply click on cPanel link from the Email and use the Username and password provided to log in.
Once you are logged in, you will be presented with cPanel dashboard. (This is standard dashboard offered by cPanel). Now, I will share the complete WordPress installation tutorial with screenshots. If you are still stuck anywhere, drop a comment with your query, and I will love to help you out.
Now, click on Quick install under Software/Services section under cPanel. This is a free service by Hostgator cPanel, using it you can quickly Install WordPress or other popular Web platforms like Drupal, Joomla, PHPBB and many others.
Now, on the next screen, select WordPress, and you will be taken to next screen, where you need to select New installation.
On the next screen, you need to select the domain name where you wish to setup WordPress.
Install on Domain: Here you can select the domain where you wish to install WordPress. Since Hostgator offers multiple domain hosting, you can always add addon domains. If you just purchased one domain while buying hosting from Hostgator, simply select the domain and proceed to next step.
Install in Directory: If you wish to install WordPress blog in the sub directory. For ex: domain.com/Blog, you can add directory name here. Since our goal is to have WordPress installed on the main domain, we will keep it blank.
Add admin details and simple base configuration details. Check out below screenshot, where I have added all the details and below I explained all the fields.
Admin access data: Here you will be providing login username and password, which will be used later on to login to your WordPress blog dashboard. Try to use a Complicated password for better WordPress security and do note down the Administrator username and password you have added here.
These details you can always change later, but for making your work easier, I will explain them in brief.
Admin Nickname: Name you to wish to show to public under post name.
Admin Email: Enter the Administrator Email address which will be used to send Email notifications (Comments or any other) for your blog. This will be used for password recovery too, so provider a Working Email address.
That's it and now click on Install now.
That's it, and now you have installed WordPress on your Hostgator cPanel account. Simply go to domain.com/wp-admin (replace domain.com with actual domain name) and login to your WordPress dashboard.
Must have WordPress Plugins and their uses.
That's it for now, and with few minutes of work, you can easily get your self-hosted WordPress blog under your domain name. I hope, this tutorial solved most of your queries related to WordPress installation on Hostgator or any other cPanel hosting. If you still have any query, feel free to ask via comments.
Thanks Harsh good to see you here, Another nice one post as always you create rich subject oriented content. Anyway great job.


text:
Stickers on F1 Cars to Make Britain GREAT Again
By Gary Cutlack on at
The government's come up with an idea on how to get all those troublesome world economies to cut us some favourable trade deals and to keep people coming here on holiday to see the buses -- putting stickers on cars.
Not just any old cars, mind, but the McLaren-Honda MCL32, or this season's pointiest, fastest F1 car from our home grown racing team. The decals are to promote a thing the government has created called GREAT Britain, some sort of banner initiative to get the phrase "Innovation is GREAT" into the sub consciousnesses of the trade negotiators who'll decide how much duty we'll have to pay on things from 2019 onwards.
The branding will feature on each car in ever race of the F1 calendar, with trade and industry minister Liam Fox saying: "I am delighted that McLaren, a pioneer of innovation, has partnered with the GREAT Britain campaign for 2017, to inspire and encourage more visitors, businesses and academics to the UK. McLaren is a good example of a cutting-edge technology company drawing upon the UK's technology expertise to attract the best world-class talent and bring audiences from across the globe to major sporting events."
The government has dreamed up some numbers that say the GREAT Britain campaign has added £2.7bn of "benefit" to the UK economy. [GOV]
More Politics Posts:
Trump Was Instructed Not to Delete Tweets Illegally
By Adam Clark Estes on 04 Apr 2017 at 4:00PM
The US National Archives isn't happy about Trump not abiding by the Presidential Records Act and the Federal Records Act.
A Major UK Political Party Is Now Backing A Three-Day Weekend
By James O Malley on 03 Apr 2017 at 9:30AM
Finally, an extra day of weekend for freelancers to work on.
Scottish MP's Accent Is Too Incomprehensible For Parliament
At least, we think that's what he said.
Brexit's Tech Brain Drain May Have Already Begun
By Jessica Rose on 29 Mar 2017 at 10:30AM
As Britain takes a leap into the unknown, we profile some of the people in Britain's tech industry who are being affected by Brexit.
Gary Cutlack


The Creature Revenge Vault of Horrors features a collection of high detailed, extremely accurate statues of various classic movie monsters. Many of the figures move and feature audio effects, including dialogue and sound effects from the original films. Each one can be found in its "natural setting", featuring high -resolution graphic backdrops, lighting effects, and 3D set elements to really bring patrons into the classic films depicted! The exhibit also includes a collection of informational plaques and displays that are full of interesting and informative trivia, bringing an educational factor to the display. The goal of the attraction is to help preserve the legacy of these classic films and characters, as well as the men and women behind them!


Seamer located, at the heart of the most beautiful seaweed fields in Europe, is a local and family owned SME that values all the benefits of marine world.
Its story began 30 years ago, with marine biotechnology passionate woman: Christine Bodeau.
This question was the main thread of those years during which Seamer has worked successfully.
Patented and exclusive marine active ingredients in exceptional textures are today the result of this work led for more than 20 years by Philippe Saint-Léger.


18 - 20" long, five strands of petrol blue titanium coated haematite beads, with little round sterling silver beads sprinkled between them, accented by 1mm tiny 925 silver tube beads called 'silver silk' all held by a sterling silver toggle clasp. Will appeal to the minimalist statement jewellery lover - if there is such a thing!!


The Art of Marriage® Connect Series (formerly published as the HomeBuilders Couples Series®) has been developed to help build marriages according to God's design. With global distribution of more than 2 million copies in 77 countries, each study focuses on real-life topics, practical application and biblical truth. Whether newlyweds, empty nesters or somewhere in between, connect with other couples--and find help and hope for your marriage.
Leading a group study of this title? Purchase the starter pack (8 copies) here.


text:
/*
 * Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except
 * in compliance with the License. You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software distributed under the License
 * is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express
 * or implied. See the License for the specific language governing permissions and limitations under
 * the License.
 */
/*
 * This code was generated by https://github.com/googleapis/google-api-java-client-services/
 * Modify at your own risk.
 */

package com.google.api.services.dataproc.model;

/**
 * indicating a list of workers of same type
 *
 *
 This is the Java data model class that specifies how to parse/serialize into the JSON that is
 * transmitted over HTTP when working with the Cloud Dataproc API. For a detailed explanation see:
 * https://developers.google.com/api-client-library/java/google-http-java-client/json
 *

 *
 * @author Google, Inc.
 */
@SuppressWarnings("javadoc")
public final class NodePool extends com.google.api.client.json.GenericJson {

  /**
   * Required. A unique id of the node pool. Primary and Secondary workers can be specified using
   * special reserved ids PRIMARY_WORKER_POOL and SECONDARY_WORKER_POOL respectively. Aux node pools
   * can be referenced using corresponding pool id.
   * The value may be {@code null}.
   */
  @com.google.api.client.util.Key
  private java.lang.String id;

  /**
   * Name of instances to be repaired. These instances must belong to specified node pool.
   * The value may be {@code null}.
   */
  @com.google.api.client.util.Key
  private java.util.List<java.lang.String> instanceNames;

  /**
   * Required. Repair action to take on specified resources of the node pool.
   * The value may be {@code null}.
   */
  @com.google.api.client.util.Key
  private java.lang.String repairAction;

  /**
   * Required. A unique id of the node pool. Primary and Secondary workers can be specified using
   * special reserved ids PRIMARY_WORKER_POOL and SECONDARY_WORKER_POOL respectively. Aux node pools
   * can be referenced using corresponding pool id.
   * @return value or {@code null} for none
   */
  public java.lang.String getId() {
    return id;
  }

  /**
   * Required. A unique id of the node pool. Primary and Secondary workers can be specified using
   * special reserved ids PRIMARY_WORKER_POOL and SECONDARY_WORKER_POOL respectively. Aux node pools
   * can be referenced using corresponding pool id.
   * @param id id or {@code null} for none
   */
  public NodePool setId(java.lang.String id) {
    this.id = id;
    return this;
  }

  /**
   * Name of instances to be repaired. These instances must belong to specified node pool.
   * @return value or {@code null} for none
   */
  public java.util.List<java.lang.String> getInstanceNames() {
    return instanceNames;
  }

  /**
   * Name of instances to be repaired. These instances must belong to specified node pool.
   * @param instanceNames instanceNames or {@code null} for none
   */
  public NodePool setInstanceNames(java.util.List<java.lang.String> instanceNames) {
    this.instanceNames = instanceNames;
    return this;
  }

  /**
   * Required. Repair action to take on specified resources of the node pool.
   * @return value or {@code null} for none
   */
  public java.lang.String getRepairAction() {
    return repairAction;
  }

  /**
   * Required. Repair action to take on specified resources of the node pool.
   * @param repairAction repairAction or {@code null} for none
   */
  public NodePool setRepairAction(java.lang.String repairAction) {
    this.repairAction = repairAction;
    return this;
  }

  @Override
  public NodePool set(String fieldName, Object value) {
    return (NodePool) super.set(fieldName, value);
  }

  @Override
  public NodePool clone() {
    return (NodePool) super.clone();
  }

}

redpajama_set_name: RedPajamaGithub


text:
\section{Introduction}

The sub-fractional Brownian motion, in short sfBm, is a stochastic
process that emerges from the occupation time fluctuations of branching
particle systems\footnote{It also arises in systems without branching \cite{bojdecki2006limit,bojdecki2010particle}.
Besides, sfBm appears independently as an expansion of the fBm \cite{dzhaparidze2004series}.} \cite{bojdecki2004sub}. It owns the main properties of the fractional
Brownian motion\footnote{A fBm, $B^{H}=\left\{ B_{t}^{H},t\geq0\right\} $, is a Gaussian process
with $0<H<1$ , characterized by:

\quad{}i) $B_{0}^{H}=0$,

\quad{}ii) $\mathbb{E}\left(B_{t}^{H}\right)=0$,

\quad{}iii) $\mathbb{E}\left(B_{t}^{H}\cdot B_{s}^{H}\right)=\frac{1}{2}\left\{ \left|t\right|^{2H}+\left|s\right|^{2H}-\left|t-s\right|^{2H}\right\} $
.} (fBm) \cite{mandelbrot1968fractional} as long-range dependence,
self-similarity and Holder paths. However, a key difference among
them is the sfBm has non-stationary increments. Besides, the sfBm
has more weakly correlated increments and their covariance decays
at a higher rate, in comparison to the fBm. See \cite{bojdecki2004sub,tudor2007some,mishura2018stochastic}
for details and properties of the sfBm.

Then, diffusion processes under sfBm could be considered as a potential
candidate to model some financial time-series which exhibit long-range
dependency and non-stationarity increments \cite{bassler2007nonstationary,morales2013non,costa2003long,baldovin2011modeling}.
However, the option pricing under sfBm leads to arbitrage opportunities
\cite{zhang2017arbitrage}. In this context, the mixed sub-fractional
Brownian motion (msfBm) \cite{charles2015sub}, a linear combination
between a standard Brownian motion (Bm) and an independent sfBm, which
holds the main properties of the latter but adds the semi-martingale
condition when the Hurst exponent $H\in(3/4,1)$; emerges as a suitable
alternative for financial modeling.

Previously, some attempts have been addressed in the literature to
include sub-fractional diffusion in the price fluctuation modeling
\cite{tudor2008sub2,liu2010sub,xu2018pricing,xu2019pricing}; mainly,
using the seminal Black-Scholes (B-S) model as a platform \cite{black1973pricing}.
However, in this communication, we will consider a sub-fractional
extension to the Constant Elasticity of Variance (CEV) model \cite{Cox1975,cox1996constant},
which is capable to address some shortcomings of the B-S approach
as the leverage effect and the implied volatility skew \cite{eltit}.

Following the procedure given in \cite{araneda2020fractional} to
the fractional and mixed-fractional case, we derive the Fokker-Planck
equation under sub-fractional diffusion and the transition probability
density function for the mixed sub-fractional CEV (msfCEV) is obtained,
leading to the price formula for an European Call option in terms
of the non-central chi-squared distribution and the M-Whittaker function.

The outline of the paper is the following. First, some properties
and details of the dfBm are addressed, including their stochastic
calculus rules and the Fokker-Planck equation. Later, we put the accent
on the msfBm. At next, the option pricing under the standard CEV model
is reviewed. In section \ref{sec:The-msfCEV-model}, the principal
results for the msfCEV option pricing model are presented. At next,
some numerical results using real option pricing data are delivered.
Finally, the main conclusions are displayed.

\section{On the sub-fractional Brownian motion}

The sub-fractional Brownian motion is centered Gaussian process $\xi^{H}=\left\{ \xi_{t}^{H},t\geq0\right\} $
, with $\xi_{0}^{H}=0$ and covariance:

\begin{equation}
\mathbb{E}\left(\xi_{t}^{H}\cdot\xi_{s}^{H}\right)=s^{2H}+t^{2H}-\frac{1}{2}\left[\left(s+t\right)^{2H}+\left|t-s\right|^{2H}\right]\label{eq:cov}
\end{equation}

\noindent being $H\in\left]0,1\right[$ the Hurst index. For $H=1/2,$
$\xi^{H}$ becomes a standard Brownian motion.

We highlight two main properties of the sfBm derived from Eq. (\ref{eq:cov}),
in the following remarks.
\begin{rem}[Correlation of the increments for sfBm]
Let $t>s\geq v>u\geq0.$ The covariance over non-overlapping increments
is given by:

\begin{eqnarray*}
\mathbb{E}\left[\left(\xi_{v}^{H}-\xi_{u}^{H}\right)\cdot\left(\xi_{t}^{H}-\xi_{s}^{H}\right)\right] & = & \frac{1}{2}\left[\left(t+u\right)^{2H}+\left(t-u\right)^{2H}+\left(s+v\right)^{2H}+\left(s-v\right)^{2H}\right.\\
 &  & \left.-\left(t+v\right)^{2H}-\left(t-v\right)^{2H}-\left(s+u\right)^{2H}-\left(s-u\right)^{2H}\right]
\end{eqnarray*}

Thus, $\mathbb{E}\left[\left(\xi_{v}^{H}-\xi_{u}^{H}\right)\cdot\left(\xi_{t}^{H}-\xi_{s}^{H}\right)\right]>0$
(resp. <0) for $H>\frac{1}{2}$ (resp. $H<\frac{1}{2}$), which implies
positive (resp. negative) correlated increments.\\
\end{rem}
\begin{rem}[The sfBM has non-stationarity increments]
\label{rem:non-stationarity}The variance for a general increment
is given by:

\[
\mathbb{E}\left[\left|\xi_{t}^{H}-\xi_{s}^{H}\right|^{2}\right]=-2^{2H-1}\left(s^{2H}+t^{2H}\right)+\left(s+t\right)^{2H}-\left(t-s\right)^{2H},\qquad0\leq s<t
\]

Then, for any $u\in\mathbb{\mathbb{R^{+}}}$; is clear that:

\[
\mathbb{E}\left[\left|\xi_{t}^{H}-\xi_{s}^{H}\right|^{2}\right]\neq\mathbb{E}\left[\left|\xi_{t+u}^{H}-\xi_{s+u}^{H}\right|^{2}\right]
\]
\\
\end{rem}
On the other hand, It's well known that $\xi^{H}$ is neither a Markov
process nor a semi-martingale for $H\neq1/2$. So, the classical Ito
rules are not available for sfBm with $H\neq1/2$. Since that, the
following results are useful for our purposes.
\begin{lem}[It\^o\textquoteright s lemma for a sub-fractional Brownian motion]
\label{lem: ito} Let $f=f(\xi_{t}^{H})\in C^{2}(\mathbb{R})$ and
$\frac{1}{2}\leq H<1$. Then:

\[
\text{d}f=f'(\xi_{t}^{H})\text{d}\xi_{t}^{H}+Ht^{2H-1}\left(2-2^{2H-1}\right)f''(\xi_{t}^{H})\text{d}t
\]
\end{lem}
\begin{proof}
See \cite{yan2011ito}.
\end{proof}
\begin{thm}
\label{thm:The-Fokker-Planck-equation}The Fokker-Planck equation
related to the generic process

\begin{equation}
\text{d}y_{t}=\mu\left(y_{t},t\right)\text{d}t+\sigma\left(y_{t},t\right)\text{d\ensuremath{\xi_{t}^{H}}}\label{eq:dy}
\end{equation}

is given by:

\begin{equation}
\frac{\partial P}{\partial t}=Ht^{2H-1}\left(2-2^{2H-1}\right)\frac{\partial\left(\sigma^{2}P\right)}{\partial y^{2}}-\frac{\partial\left(\mu P\right)}{\partial y}\label{eq:FPE}
\end{equation}
\\
\end{thm}
\begin{proof}
We will follow and extend the procedure given in \cite{unal2007fokker}
for diffusion processes under fractional Brownian motion, but this
time applied to sub-fractional case.

Let $g=g\left(y_{t}\right)$ a twice differentiable scalar function.
Using the It\^o formula for sfBm (Lemma \ref{lem: ito}), we have:

\begin{equation}
\text{d}g=\left[\mu\frac{\partial g}{\partial y}+Ht^{2H-1}\left(2-2^{2H-1}\right)\sigma^{2}\frac{\partial^{2}g}{\partial y^{2}}\right]\mathrm{d}t+\sigma\frac{\partial h}{\partial y}\mathrm{d}\xi_{t}^{H}\label{eq:dh}
\end{equation}
\\

Then, taking expectations over (\ref{eq:dh}):

\begin{equation}
\frac{\text{d}\mathbb{E}\left(g\right)}{\mathrm{d}t}=\mathbb{E}\left(\mu\frac{\partial g}{\partial y}\right)+\mathbb{E}\left[Ht^{2H-1}\left(2-2^{2H-1}\right)\sigma^{2}\frac{\partial^{2}g}{\partial y^{2}}\right]\label{eq:Edxdt}
\end{equation}
\\

Since the expectation of $g(y_{t})$ is:

\begin{equation}
\mathbb{E}\left[g\left(y_{t}\right)\right]=\int g\left(y\right)P\left(y,t\right)\text{d}y\label{eq:Eh}
\end{equation}
\\

\noindent where $P$ is the transition probability density function
at time $t$; the relations (\ref{eq:Edxdt}) and (\ref{eq:Eh}) yields
to:

\begin{equation}
\int_{-\infty}^{\infty}g\frac{\partial P}{\partial t}\text{d}y=\int_{-\infty}^{\infty}\left[\mu\frac{\partial g}{\partial y}+Ht^{2H-1}\left(2-2^{2H-1}\right)\sigma^{2}\frac{\partial^{2}g}{\partial y^{2}}\right]P\text{d}y\label{eq:integral-FP}
\end{equation}
\\

After that, using the following results:

\[
\int_{-\infty}^{\infty}\mu\frac{\partial g}{\partial y}P\text{d}y=-\int_{-\infty}^{\infty}g\frac{\partial\left(\mu P\right)}{\partial y}\text{d}y
\]

\[
\int_{-\infty}^{\infty}\sigma^{2}\frac{\partial^{2}g}{\partial y^{2}}P\text{d}y=\int_{-\infty}^{\infty}g\frac{\partial\left(\sigma^{2}P\right)}{\partial y^{2}}\text{d}y
\]
\\

\noindent the Eq. (\ref{eq:integral-FP}) goes to:

\begin{equation}
\int_{-\infty}^{\infty}h\left[\frac{\partial P}{\partial t}+\frac{\partial\left(\mu P\right)}{\partial y}-Ht^{2H-1}\left(2-2^{2H-1}\right)\frac{\partial\left(\sigma^{2}P\right)}{\partial y^{2}}\right]\text{d}x=0\label{eq:infp}
\end{equation}
\\

Finally, the Fokker-Planck equation related to the process (\ref{eq:dy}),
emerges from (\ref{eq:infp}).
\end{proof}

\section{On the mixed Sub-fractional Brownian motion}

Similarly to approach followed for Cheridito \cite{cheridito2001mixed}
to the construction of a mixed fractional Brownian motion, a msfBm
was introduced \cite{tudor2007some,charles2015sub} as a linear combination
among a sfBm and an ordinary \& independent Brownian motion ($B_{t}$).
\begin{defn}
Let $M^{\beta,\gamma,H}=\left\{ M_{t}^{\beta,\gamma,H},t\geq0\right\} $
a msfBm, defined by:

\begin{equation}
M_{t}^{\beta,\gamma,H}=\beta B_{t}+\gamma\xi_{t}^{H};\qquad\beta\geq0,\,\gamma\geq0,\label{eq:M}
\end{equation}
\end{defn}
From \ref{eq:M} is clear that $M_{t}^{0,1,H}$ becomes a sfBM; while
$M_{t}^{1,0,H}$ and $M_{t}^{0,1,1/2}$ represents a standard Bm.
Besides, from Eq. (\ref{eq:cov}), we have:

\begin{equation}
\mathbb{E}\left(M_{t}^{\beta,\gamma,H}\cdot M_{s}^{\beta,\gamma,H}\right)=\beta^{2}\min\left(s,t\right)+\gamma^{2}\left\{ s^{2H}+t^{2H}-\frac{1}{2}\left[\left(s+t\right)^{2H}+\left|t-s\right|^{2H}\right]\right\} \label{eq:covarM}
\end{equation}

As in the previous section, the correlation over non-overlapping increments
and the non-stationarity increments property are addressed at next.
\begin{rem}[Correlation of the increments for msfBm]
\label{rem:correlation}Let $t>s\geq v>u\geq0.$ The covariance over
non-overlapping increments, for the process $M^{\beta,\gamma,H}$
is given by:

\begin{eqnarray*}
\mathbb{E}\left[\left(M_{v}^{\beta,\gamma,H}-M_{u}^{\beta,\gamma,H}\right)\cdot\left(M_{t}^{\beta,\gamma,H}-M_{s}^{\beta,\gamma,H}\right)\right] & = & \frac{\gamma^{2}}{2}\left[\left(t+u\right)^{2H}+\left(t-u\right)^{2H}+\left(s+v\right)^{2H}+\left(s-v\right)^{2H}\right.\\
 &  & \left.-\left(t+v\right)^{2H}-\left(t-v\right)^{2H}-\left(s+u\right)^{2H}-\left(s-u\right)^{2H}\right]
\end{eqnarray*}

The RHS of the above equation is positive for $H>\frac{1}{2}$, which
indicates that the increment are correlated on that region. Alternatively,
for $H<\frac{1}{2}$ the increments are negative correlated.\\
\end{rem}
\begin{rem}[The msfBM has non-stationarity increments]
\label{rem:non-stationarity-M}. Let $\left(s,t,u\right)\in\mathbb{R}_{+}^{3}$
and $t>s$. Then:

\[
\mathbb{E}\left[\left|M_{t}^{\beta,\gamma,H}-M_{s}^{\beta,\gamma,H}\right|^{2}\right]=\beta^{2}\left(t-s\right)+\gamma^{2}\left[-2^{2H-1}\left(s^{2H}+t^{2H}\right)+\left(s+t\right)^{2H}-\left(t-s\right)^{2H}\right]
\]

Thus, is easy to check the non-stationarity property for the increments
by:

\[
\mathbb{E}\left[\left|M_{t}^{\beta,\gamma,H}-M_{s}^{\beta,\gamma,H}\right|^{2}\right]\neq\mathbb{E}\left[\left|M_{t+u}^{\beta,\gamma,H}-M_{s+u}^{\beta,\gamma,H}\right|^{2}\right]
\]
\\
\end{rem}
Another property, key for the msfBm process (\ref{eq:M}), and especially
useful in mathematical finance, is the semi-martingale property detailed
in the following statement.
\begin{lem}[Semi-martingale property for the msfBm]
\label{lem:-The-mixed} The mixed process $M_{t}^{\beta,\gamma,H}$,
with $\beta\neq0$ and $\frac{3}{4}<H<1$, is a semi-martingale equivalent
in law to $\beta\times B_{t}$.
\end{lem}
\begin{proof}
cf. \cite{tudor2007some,charles2015sub}.\\

The results provided in the Remarks \ref{rem:correlation}-\ref{rem:non-stationarity-M}
and the Lemma \ref{lem:-The-mixed}, makes the stochastic processes
driven by msfBm suitable for the option pricing modeling of time series
which presents non-stationarity and autocorrelation. In addition,
the following auxiliary results are presented.
\end{proof}
\begin{cor}
\label{cor:Let--a}Let $y$ a stochastic process ruled by:

\begin{equation}
\text{d}y_{t}=\mu(y_{t},t)\text{d}t+\sigma(y_{t},t)\text{d}M_{t}^{\beta,\gamma,H}\label{eq:dytilde}
\end{equation}

\noindent  and $h=h(y_{t})\in C^{2}(\mathbb{R})$. Then, we have:

\begin{eqnarray*}
dh & = & \left\{ \mu\frac{\partial h}{\partial y}+\left[\frac{1}{2}\beta^{2}+\gamma^{2}Ht^{2H-1}\left(2-2^{2H-1}\right)\right]\sigma^{2}\frac{\partial^{2}h}{\partial y^{2}}\right\} \mathrm{d}t+\sigma\frac{\partial h}{\partial y}\left(\beta\mathrm{d}B_{t}+\gamma\mathrm{d}\xi_{t}^{H}\right)\\
 & = & \left\{ \mu\frac{\partial h}{\partial y}+\left[\frac{1}{2}\beta^{2}+\gamma^{2}Ht^{2H-1}\left(2-2^{2H-1}\right)\right]\sigma^{2}\frac{\partial^{2}h}{\partial y^{2}}\right\} \mathrm{d}t+\sigma\frac{\partial h}{\partial y}\mathrm{d}M_{t}^{\beta,\gamma,H}
\end{eqnarray*}
\end{cor}
\begin{proof}
By direct consequence of the Lemma \ref{lem: ito}.
\end{proof}
\begin{cor}
\label{cor:The-Fokker-Planck-equation}The Fokker-Planck equation
for the drift mixed sub-fractional process described by the SDE (\ref{eq:dytilde})
is:

\[
\frac{\partial P}{\partial t}=\left[\frac{1}{2}\beta^{2}+\gamma^{2}Ht^{2H-1}\left(2-2^{2H-1}\right)\right]\frac{\partial\left(\sigma^{2}P\right)}{\partial y^{2}}-\frac{\partial\left(\mu P\right)}{\partial y}
\]
\end{cor}
\begin{proof}
Straightforward from Corollary \ref{cor:Let--a} and Theorem \ref{thm:The-Fokker-Planck-equation}.
\end{proof}

\section{The CEV model}

The constant elasticity of variance model assumes that asset price,
$S$, obeys the following It\^o drift-diffusion (under the risk-neutral
measure):

\begin{equation}
\text{d}S_{t}=rS_{t}\text{d}t+\sigma_{0}S_{t}^{\frac{\alpha}{2}}\text{d}B_{t}\label{eq:CEV}
\end{equation}

\noindent being $r\geq0$ the constant risk-free rate of interest,
$\sigma_{0}>0$ and $\alpha\in[0,2[$ the parameters of the model.
The selection of that interval for $\alpha$ ensure two desired properties
for the model:
\begin{enumerate}
\item The capacity to address the `leverage effect' and the skew phenomena
\cite{eltit}.
\item The arbitrage possibilities are neglected (existence of an unique
equivalent martingale measure) \cite{delbaen2002note}.
\end{enumerate}
Defining $x=S^{2-\alpha}$, the It\^o's lemma yields to:

\[
\mathrm{d}x_{t}=\left(2-\alpha\right)\left[rx_{t}+\frac{1}{2}\left(1-\alpha\right)\sigma_{0}^{2}\right]\mathrm{d}t+\left(2-\alpha\right)\sigma_{0}\sqrt{x_{t}}\mathrm{d}B_{t}
\]

Later the transition density probability function $P(x_{T},T|x_{0},0)$,
follows the Fokker-Planck equation:

\begin{equation}
\frac{\partial P}{\partial t}=\frac{1}{2}\frac{\partial^{2}}{\partial x^{2}}\left[\left(2-\alpha\right)^{2}\sigma_{0}^{2}xP\right]-\frac{\partial}{\partial x}\left[\left(2-\alpha\right)\left(rx+\frac{1}{2}\left(1-\alpha\right)\sigma_{0}^{2}\right)P\right]\label{eq:FPCEV}
\end{equation}

The constant-coefficients parabolic equation (\ref{eq:FPCEV}) is
solved using the arguments supplied by Feller \cite{feller1951two}
(Feller's lemma, see also \cite{hsu2008constant}), where the transition
density in terms of the original variables is:

\[
P\left(\left.S_{T},T\right|S_{0},0\right)=\left(2-\alpha\right)k^{\frac{1}{2-\alpha}}\left(yw^{1-2\alpha}\right)^{\frac{1}{2\left(2-\alpha\right)}}\text{e}^{-y-w}I_{1/\left(2-\alpha\right)}\left(2\sqrt{yw}\right)
\]

\noindent with:

\begin{eqnarray}
k & = & \frac{2r}{\sigma_{0}^{2}\left(2-\alpha\right)\left[\text{e}^{r\left(2-\alpha\right)T}-1\right]},\label{eq:k}\\
y & = & kS_{0}^{2-\alpha}\text{e}^{r\left(2-\alpha\right)T},\label{eq:y}\\
w & = & kS_{T}^{2-\alpha}.\label{eq:subst}
\end{eqnarray}

Finally, the European Call option pricing, with maturity $T$ and
strike $E$, is obtained taking the expectation of the discounted
payoff, arriving to \cite{schroder1989computing}:

\begin{eqnarray*}
C\left(S_{0}\right) & = & \text{e}^{-rT}\int_{-\infty}^{\infty}\max\left\{ S_{T}-E,0\right\} P\left(\left.S_{T},T\right|S_{0},0\right)\text{d}S_{T}\\
 & = & S_{0}Q\left(2z;2+\frac{2}{2-\alpha},2y\right)-E\text{e}^{-rT}\left[1-Q\left(2y;\frac{2}{2-\alpha},2z\right)\right]
\end{eqnarray*}

\noindent being $Q\left(\bullet\right)$ the non-central chi-squared
complementary distribution function and $z=kE^{2-\alpha}$.

\section{The CEV model driven by a mixed sub-fractional Brownian motion\label{sec:The-msfCEV-model}}

Now, we consider that the asset price $S$ is ruled by following stochastic
differential equation:

\begin{equation}
\mathrm{d}S_{t}=rS_{t}\mathrm{d}t+\sigma S^{\frac{\alpha}{2}}\mathrm{d}M_{t}^{\beta,\gamma,H}\label{eq:SCEV}
\end{equation}
\noindent where the same conditions on the parameters as in the process
(\ref{eq:CEV}) are applied here. In addition, we restrict $\frac{1}{2}<H<1$.

Under the change of variable $x=S^{2-\alpha}$, and using the Corollary
(\ref{cor:Let--a}), the SDE (\ref{eq:SCEV}) goes to:

\begin{equation}
\mathrm{d}x_{t}=\left(2-\alpha\right)\left\{ rx_{t}+\left[\frac{1}{2}\beta^{2}+\gamma^{2}Ht^{2H-1}\left(2-2^{2H-1}\right)\right]\right\} \mathrm{d}t+\left(2-\alpha\right)\sigma\sqrt{x_{t}}\mathrm{d}M_{t}^{\beta,\gamma,H}\label{eq:dx}
\end{equation}

The evolution from $x(t=0)=x_{0}$ to $x(t=T)=x_{T}$ is given by
the transition probability density function $P=P(x_{T},T|x_{0},0)$.
Since By the Corollary (\ref{cor:The-Fokker-Planck-equation}), we
have:

\begin{multline}
\frac{\partial P}{\partial t}=\frac{\partial}{\partial x^{2}}\left\{ \left[\frac{1}{2}\beta^{2}+\gamma^{2}Ht^{2H-1}\left(2-2^{2H-1}\right)\right]\left(2-\alpha\right)^{2}\sigma^{2}xP\right\} \\
-\frac{\partial}{\partial x}\left\{ \left[rx+\left(\frac{1}{2}\beta^{2}+\gamma^{2}Ht^{2H-1}\left(2-2^{2H-1}\right)\right)\left(1-\alpha\right)\sigma^{2}\right]\left(2-\alpha\right)P\right\} \label{eq:FP}
\end{multline}

\begin{thm}
The transition probability density function related to the process
(\ref{eq:SCEV}) is written as:

\begin{eqnarray}
P\left(\left.S_{T},T\right|S_{0},0\right) & = & \left(2-\alpha\right)k_{s}^{\frac{1}{2-\alpha}}\left(y_{s}w_{s}^{1-2\alpha}\right)^{\frac{1}{2\left(2-\alpha\right)}}\text{e}^{-y-w}I_{1/\left(2-\alpha\right)}\left(2\sqrt{y_{s}w_{s}}\right)\label{eq:PH-1}
\end{eqnarray}
\\

\noindent with:

\begin{eqnarray*}
k_{s} & = & \left[\Phi\left(-\left(2-\alpha\right)rT\right)\right]^{-1},\\
y_{s} & = & k_{S}S_{0}^{2-\alpha}\text{e}^{r\left(2-\alpha\right)T}\\
w_{s} & = & k_{S}S_{T}^{2-\alpha}
\end{eqnarray*}

\noindent and

\begin{eqnarray*}
\Phi(T) & = & \gamma^{2}\sigma^{2}\frac{\left(2-\alpha\right)^{2}}{2H+1}\left(T\right)^{2H}\left(1-2^{2H-2}\right)\left\{ 2H+1+\text{e}^{\frac{1}{2}\left(2-\alpha\right)rT}\left[\left(2-\alpha\right)rT\right]^{-H}M_{H,H+1/2}\left[\left(2-\alpha\right)rT\right]\right\} \\
 &  & +\beta^{2}\frac{\sigma^{2}}{2r}\left(2-\alpha\right)\left(\text{e}^{\left(2-\alpha\right)rT}-1\right)
\end{eqnarray*}
\end{thm}
\begin{proof}
Defining the rescaled time $\tau=-\left(2-\alpha\right)rt$, the relation
(\ref{eq:FP}) becomes:

\[
\frac{\partial P}{\partial\tau}=\frac{\partial^{2}}{\partial x^{2}}\left[a(\tau)xP\right]+\frac{\partial}{\partial x}\left[\left(x+b\left(\tau\right)\right)P\right]
\]
\\

\noindent with,

\begin{eqnarray*}
a(\tau) & = & -\frac{\sigma^{2}}{r}\left(2-\alpha\right)\left[\frac{1}{2}\beta^{2}+\gamma^{2}\left(1-2^{2H-2}\right)2H\left(-\frac{\tau}{\left(2-\alpha\right)r}\right)^{2H-1}\right]\\
b(\tau) & = & -\frac{\sigma^{2}}{r}\left(1-\alpha\right)\left[\frac{1}{2}\beta^{2}+\left(1-2^{2H-2}\right)2H\left(-\frac{\tau}{\left(2-\alpha\right)r}\right)^{2H-1}\right]
\end{eqnarray*}
\\

Since the ratio $a(\tau)/b(\tau)$ is time-independent, the PDE (\ref{eq:FP})
could be solved using the Feller's lemma with time varying coefficients
\cite{masoliver2016nonstationary,araneda2020fractional}. Thus:

\[
P\left(\left.x,\tau\right|x_{0},0\right)=\frac{1}{\phi(\tau)}\left(\frac{x\text{e}^{\tau}}{x_{0}}\right)^{{\textstyle {\displaystyle \frac{b-a}{2a}}}}\exp\left[-\frac{\left(x+x_{0}\text{e}^{-\tau}\right)}{\phi(\tau)}\right]I_{1-b/a}\left[\frac{2}{\phi(\tau)}\sqrt{\text{e}^{-\tau}x_{0}x}\right]
\]
\\
\noindent where $I_{\nu}$ is the modified Bessel function of first
kind of order $\nu$, and $\phi$ is defined by:

\begin{eqnarray*}
\phi(\tau) & = & -\frac{\sigma^{2}}{r}\left(2-\alpha\right)\int_{0}^{\tau}\left[\frac{1}{2}\beta^{2}+2\gamma^{2}\left(1-2^{2H-2}\right)H\left(\frac{s-\tau}{\left(2-\alpha\right)r}\right){}^{2H-1}\right]\text{e}^{-s}\text{d}s\\
 & = & \gamma^{2}\sigma^{2}\frac{\left(2-\alpha\right)^{2}}{2H+1}\left(-\frac{\tau}{b}\right)^{2H}\left(1-2^{2H-2}\right)\left[2H+1+\text{e}^{-\frac{1}{2}\tau}\left(-\tau\right)^{-H}M_{H,H+1/2}\left(-\tau\right)\right]\\
 &  & +\beta^{2}\sigma^{2}\frac{\text{\ensuremath{\left(2-\alpha\right)}}}{r}\left(\text{e}^{-\tau}-1\right)
\end{eqnarray*}
\\

\noindent being $M_{\kappa,\upsilon}\left(l\right)$ the M-Whittaker
function \cite{NIST}.

Later, in terms of the original variables $(S,t)$, the transition
probability density related to the process (\ref{eq:SCEV}) is written
as:

\begin{eqnarray}
P\left(\left.S_{T},T\right|S_{0},0\right) & = & \left(2-\alpha\right)k_{s}^{\frac{1}{2-\alpha}}\left(y_{s}w_{s}^{1-2\alpha}\right)^{\frac{1}{2\left(2-\alpha\right)}}\text{e}^{-y-w}I_{1/\left(2-\alpha\right)}\left(2\sqrt{y_{s}w_{s}}\right)\label{eq:PH}
\end{eqnarray}
\\

\noindent with:

\begin{eqnarray*}
y_{s} & = & k_{S}S_{0}^{2-\alpha}\text{e}^{r\left(2-\alpha\right)T},\\
w_{s} & = & k_{S}S_{T}^{2-\alpha}\\
k_{s} & = & \left[\phi\left(-\left(2-\alpha\right)rT\right)\right]^{-1}\\
 & = & \left[\Phi\left(T\right)\right]^{-1}
\end{eqnarray*}
\\
\end{proof}
\begin{thm}
Defining \textup{$z_{s}(t)=k_{s}(t)E^{2-\alpha}$}, The European Call
price under the sub-fractional CEV is given by:

\begin{eqnarray*}
C_{H}\left(S_{0},0\right) & = & \text{e}^{-rT}\int_{-\infty}^{\infty}\max\left\{ S_{T}-E,0\right\} P\left(\left.S_{T},T\right|S_{0},0\right)\text{d}S_{T}\\
 & = & S_{0}Q\left(2z_{s};2+\frac{2}{2-\alpha},2y_{s}\right)-E\text{e}^{-rT}\left[1-Q\left(2y_{s};\frac{2}{2-\alpha},2z_{s}\right)\right]
\end{eqnarray*}
\end{thm}
\begin{proof}
See \cite{araneda2020fractional} and the arguments supplied there.
\end{proof}
Fig. \ref{fig:Price} shows the price of an at-the-money European
Call option under the mixed sub-fractional CEV model with $\gamma=\beta=1$
(blue), in function of the elasticity parameter, for short (3 months,
\ref{fig:=00003D0.25}) and long (2 years, \ref{fig:T=00003D2}) maturities,
with $H=\left\{ 0.5,0.7,0.9\right\} $. Besides, the price under the
mixed fractional CEV (mfCEV) is also drawn (red) by way of comparison.
In all the cases, the sub-fractional pricing is lower than the fractional
one for a fix $H>0.5$. When the Hurst exponent is equal to 0.5, both
models fit with the standard CEV. For $\alpha=2$, the sub-fractional
(fractional) CEV converges to the sub-fractional (fractional) Black-Scholes.

\begin{figure}
\subfloat[$T$=0.25\label{fig:=00003D0.25}]%
{\includegraphics[viewport=30bp 0bp 510bp 420bp,clip,width=0.5\textwidth]{12_Users_axelaraneda_Desktop_Research_fBM_msfcev_T025_s03.pdf}

}%
\subfloat[T=2\label{fig:T=00003D2}]%
{\includegraphics[viewport=30bp 0bp 510bp 420bp,clip,width=0.5\textwidth]{13_Users_axelaraneda_Desktop_Research_fBM_msfcev_T2_s03.pdf}

}

\caption{Price of a European Call option under both fractional and sub-fractional
CEV model as a function of the elasticity ($\alpha)$ and the Hurst
exponent ($H)$. We fix $\sigma=30\%,$ $S_{0}=E=100$ and $r=5$\%.
\label{fig:Price}}
\end{figure}

\section{Numerical Results}

In this section, we test empirically the proposed msfCEV option pricing
model using real option prices data. As an example, use the historical
prices of call options written the S\&P 500. We consider out-of-the-money
and slightly -- at most 5\% -- in-the-money call options with all
available strikes and maturities. Data have been downloaded from OptionMetrics
via Wharton Research Data Services \cite{WRDS}. To put the results
in context, we fit the msfCEV model to option pricing data, but also
we do the same for the standard CEV, mfCEV models, and Black-Scholes
counterparts (Classical, mixed fractional, and mixed sub-fractional);
to compare the performance of each approach. For both mixed fractional
and mixed sub-fractional cases, we have used $\beta=\gamma=1.$

For the empirical analysis we have considered two ways. Fitting jointly,
where the optimal parameters (which minimize the mean squared error
between observed mid-prices and theoretical prices) of the model are
found simultaneously for all the maturities in the data set. On the
other hand, fitting separately, where the optimal parameters are found
for each maturity individually.

Fig. \ref{fig:Performance,-through-the} shows the mean squared errors
(MSE) of the two fitting approaches as a function of the time to maturity
using call prices quoted on January 4, 2010; for both the BS and CEV
model using their classical, mixed fractional, and mixed sub- fractional
versions. First, it\textquoteright s clear that, for the same type
of fit, the CEV approaches outperform the BS counterparts. Second,
when fitting jointly on all maturities, the fractional extensions
outperform the traditional models: the total MSE (summed over all
the maturities) for the CEV is 14.3, while for mfCEV and msfCEV they
are 2.03 and 2.02 respectively. On the BS side, the total MSEs are
18.5 for the classical BS, 11.0 for the mfBS, and 11.1 for the msfBS.
On the other hand, when fitting each maturity separately, we observed
similar performances in the three CEV (total MSE: 1.55 CEV, 1.55 mfCEV,
1.56 msfCEV) and the three BS approaches (albeit at a much higher
total MSE of 10.5). Similar results have also been observed on option
price data quoted on several other days between 2000 and 2019 (not
shown).

In all cases, the mixed fractional and sub-fractional models never
performed worse than the classical ones, often substantially outperforming
them when using the same set of parameters across different strikes
and maturities, i.e. when fitting jointly. Thus, our results confirm
that the CEV model improves the BS model by capturing the volatility
smile across different strikes. Similarly, the proposed msfCEV model
further improves the CEV model by capturing the temporal structure
of option prices across different maturities. Yet, msfCEV and mfCEV
appear very similar in this respect.

\begin{figure}
\includegraphics[width=1\textwidth]{14_Users_axelaraneda_Desktop_Research_fBM_fit_2010_sqrt.pdf}

\caption{Performance, through the mean squared error, under the classical (top),
mixed fractional (middle), and mixed sub-fractional (bottom) approaches
for both Black-Scholes (left) and CEV (right) option pricing models.
\label{fig:Performance,-through-the}}

\end{figure}

\section{Summary}

In this note, we consider the Constant Elasticity of Variance model
driven by a mixed sub-fractional Brownian motion, which allows us
to model financial time-series which present features as a long-range
dependency, non-stationarity increments, leverage effect, and in the
case of the options, the volatility skew pattern. Using sub-fractional
It\^o rules, we drive the Fokker-Planck equation related to the mixed-fractional
CEV process. After getting analytically the transition density function,
the price of a European Call option is obtained in terms of the M-Whittaker
function and the non-central chi-squared complementary function. Empirical
fits on market prices of call options on the S\&P 500 show a clear
improvement over the standard CEV model. Especially the temporal structure
across different maturities is much better captured by the (sub-)fractional
model.

\section{Acknowledgments}

A. Araneda is supported from Operational Programme Research, Development
and Education - Project ``Postdoc2MUNI'' (No. CZ.02.2.69/0.0/0.0/18\_053/0016952).
N. Bertschinger thanks Dr. h. c. Maucher for funding his position.

\bibliographystyle{unsrt}

redpajama_set_name: RedPajamaArXiv


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text:
Q: What we should use instead of a "manager" class in a good OOP design? I'm having trouble designing my game engine. For example:
When I think in Resources, I think in a ResourceManager class to manage resources on my engine.
This class gets several responsibilities:

*

*Load resources.

*Map resources by an identifier.

*Ensure that resources are loaded only once.

*Free unused resources (using smartpointers).

This works for me, but I have read on every OOP design tutorial that managers are ambiguous classes with high coupling and low cohesion. I understand this, and I agree, but I searched almost the whole Internet to find a clear example of a real alternative to Managers but I didn't found it.
Some people explain, for example that a ResourceManager should be divided into smaller classes: A ResourceFactory, a ResourceCollection, a ResourceCache, a ResourceFacade...
I know all this design patterns (Factory, Collection, Facade, etc.) But I don't actually understand how this can be joined to create a (easy to manage) resource management system.
My question is: Is there some tutorial or document with a clear example? Can someone explain an example of this system? I'll thank you if you can write a small example in C++ or another similar language.
Thanks in advance for your help!

A: I don't think something is necessarily wrong with your solution.
IMHO if you think about stuff you've said from Aspect Oriented Programming's point of view,
it's just an aspect on your resources that will be handled by a class.
Although if you think in large, your code base may evolved in hundreds of lines, so it would be better to break down your Infrastructure functions(Domain Driven Design Patterns).
I think your class is a cohesive one and the manager name is not always a bad sign except that it consolidates the control flow of many possibly unrelated classes that collaborate with each other to accomplish a task.
If your requirements about caching and mapping is prone to change maybe it would be better to Separate your Concerns.
Rule of thumb when trying to write a well organized code is don't take it too serious at first, watch out code smells as you go forward and refactor or refactor to patterns when necessary.

A:
I know all this design patterns (Factory, Collection, Facade, etc.) But I don't actually understand how this can be joined to create a (easy to manage) resource management system.

Who says they should be joined together? Then you're back where you started, aren't you? The entire point in breaking up manager classes is that you end up with multiple simpler components. If you need the caching functionality, you talk to the cache. If you need the resource loading functionality you talk to the resource loader.

A: You almost said it already:

This class gets several responsibilities

(original emphasis).
This violates the Single Responsibility Principle. Additionally, the word Manager suggest an object that manages other objects, which is at odds with the object-oriented principle that objects should encapsulate both data and behavior. This quickly leads to the Feature Envy code smell.
Dividing the manager into many smaller classes is the correct thing to do. To keep them manageable, you can implement a Facade over them.

A: Maybe:

*

*Load resources -> ResourceLoader

*Map resources by an identifier -> ResourceMapper

*Ensure that resources are loaded only once -> CachedResourceLoader / this one uses the ResourceLoader when it doesn't already have it loaded

*Free unused resources (using smartpointers) -> ? / not sure about this one, but load+unload seems like highly cohesive concepts

re extra info in the comment about "Free unused resources":
First, let's clear that we only have 2 of the above involved: ResourceMapper and CachedResourceLoader. As the ResourceLoader instance is used from the CachedResource, it's not exposed to the rest of the code.
Note that the following depends on the domain knowledge, so I'll keep it open / you'll know which of these make sense / applies to the pieces you have. I'd say there are 3 options here:

*

*ResourceMapper uses CachedResourceLoader, and you only expose the earlier to the rest of the code.

*

*In this approach it there is a single entry point through ResourceMapper, so it makes sense it controls FreeUnused().

*Once it determines it can free a resource, it'll remove it from the map. If needed it'd call an Unload for specific items to the CachedResourceLoader

*Both CachedResourceLoader and ResourceMapper are used by the caller.

*

*If you only need to FreeUnused from the ResourceMapper, then just add it there.

*If it needs to be freed from both, one of:

*.FreeUnused in the ResourceMapper receives a cachedResourceLoader. After determining/removing the items from the map, it passes the list of resources to free to the cachedResourceLoader instance

*.FreeUnused in the ResourceMapper returns the list of resources freed from the map. The caller calls .Unload on the cachedResourceLoader passing the list of resources to Unload. Maybe you have a nice place in the caller these 2 calls would fit well.

*You do use a ResourceManager, but instead of having all the implementations in there, it uses the ResourceMapper and CachedResourceLoader. It'd be very thin, just doing calls to the others, in particular the .FreeUnused and .Unload calls in the last sub bullet above.

A final note: I think it's definitely worth it to separate the responsibilities and feel strong about doing so. That said, it's the SOLID principles I follow the most, I don't memorize pattern names and don't pay that much attention to rules like Manager classes are bad.

A: You don't need to be dogmatic about design patterns or a particular architecture. Just do whatever makes sense and document it well.
In other words, decomposing a class into smaller classes because the larger class has multiple responsabilities is a good principle, but not a law. You don't want to follow it at any cost. Look at the pros and cons of applying it. Sometimes, decomposing a class into smaller classes gives you more control over responsaibilities, but at the expense of a great deal of communication among those classes. In your example, you might as well implement different classes for resource loading, caching, mapping, saving, etc. But if each class needs to talk to the others in order to perform its work, then the decomposition is not worth doing, because it entails high coupling, which is bad; keep it all in a single class.
Sometimes I think that design patterns have brought about as much damage as clarity to the software development world! :-)


Fans haven't slept as they waged a debate over who was the better villain: Thanos or Bane.
I mean, we aren't meant to add our opinion into these sorts of things … but clearly by the response online Thanos is 100% the better villain.
Who would even think Bane had the might of the Mad Titan?
Oh, wait, our opinion is creeping in – back in the box it goes.
And argue they did, as the merits and downsides of the DC and Marvel super villains were dissected online to a fault on Twitter in response to her message.
Basically, a Thanos snap hath no fury than a debate between Marvel and DC fans.
There is no question both guys are bad to the bone and really not very nice. In both the comics and Avengers: Infinity War Thanos did bad things and in the end he Snapped half the population away from existence.
That earned him some points there.
When it comes to Bane, he, too, is pretty formidable in the world of Batman, showing himself as one of the caped crusader's most feared foes.
As punters took to Twitter to share their very, very passionate thoughts, they needed some clarification: are we talking movie versions or comics?
Without needing a prompt, though, many launched into their own feels about it all and it seems that while you might think they were divided, Thanos seemed to come out on top down to his dastardly deeds.
But it wasn't that easy. It wasn't. Well, it kinda was.
Thanos definitely had his fan base out in force and it was more populated than the current Avengers world (sorry, too soon?).
ESPN's Elle Duncan felt Bane's voice really let him down.
Even Bane's death at the hands of an accidental Catwoman move got lols out of people as they suggested Thanos would never die in such a way.
Well, that's TBC, but now we're kind of feeling for Bane.
Basketball theories were brought into the debate, which helps no one. Unless you're Thanos.
Not to be totally out in the cold, though, Bane had his legion of followers argue the backstory of the masked hench-man was way more interesting than any snappy Thanos.
'This isn't even a contest,' one standalone dude wrote, bravely. 'Bane broke Batman without a bunch of all powerful infiniti stones. His motive is he just wants to burn everything down because society is too corrupt.
But then again, as one pointed out, they're both duds who need to get in the bin.
Honestly, though, we just wish we could bake a cake filled with rainbows and smiles and everyone would eat and be happy again.


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Ground water and surface water create a range of problems in lignite mining utilizing surface mining methods. In order to create a safe and economic mining environment, it is essential to carry out mining after dewatering the rock mass surrounding the lignite mines by advance dewatering techniques. This paper briefly describes the ground water regimes including pressure gradients associated with various lignite deposits together with the practical examples of some important lignite deposits in the world. An effective method of controlling ground water in multi-aquifer environment in lignite deposits is to carry out rock mass dewatering using borehole pumps. This approach will help reducing the inflow rates of ground water to the mining excavation and also increase the effective strength of the overburden strata, thus, increasing the slope stability of the mining excavations. The main theme of this paper is to present a case history analysis of Thar lignite deposit in Sindh, Pakistan which has lignite reserves of some 193 billion tonnes. The paper presents a proposed method of dewatering the Thar prospect together with an assessment of the quality of aquifer water which can be used to improve the quality of life of people inhabiting in the Thar Desert area of Sindh, Pakistan.
Water samples from three aquifers were collected from nine different locations and were analyzed in the laboratory for evaluating their physical and chemical characteristics. The test results indicated that the aquifer water can be classified as (sodium+ potassium) -chloride type water with a TDS range of 1000 to 20,000 mg/L. Consequently, this ground water is classified as brackish (saline water) requiring treatment before it can be utilised for domestic or industrial consumptions. It should be noted that this ground water does not contain heavy metals and toxic metals including arsenic, mercury and lead or cyanide. However, results indicate that groundwater from a few locations contained traces of silver (<4oppb) Owithozinc0<0.1ppm.


text:
Three Things: Indiana 89, Tennessee Tech 59
Trayce Jackson-Davis was great, the freshmen are intriguing, and the shooting is still awful
By MikeMillerCQ Nov 25, 2020, 10:36pm EST
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Well, that was a game of basketball.
We'll be brief with this one. Here are Three Things about tonight's 89-59 Indiana victory over Tennessee Tech:
So, about the shooting ...
... It wasn't encouraging. In fact, it was terrible. Whether from deep or from the line, this game didn't yield the shooting developments Indiana needed to calm some anxious nerves. The Hoosiers finished the night shooting 26 percent (5-for-19) from beyond the arc and 45 percent (10-for-22) on free throws. Yikes! We'd be more willing to trot out the "But it was the first game after a weird offseason" excuse if this weren't a constant theme for Archieball teams. If you need a reminder of how bad it's been:
2019-20: 32.6% (3-point) | 67.9% (FT)
Just awful, and Wednesday was not better. It's probably not fair to nitpick a game like this, but the shooting is absolutely fair game. And if it doesn't miraculously improve in short order, this is going to be another frustrating season.
Khristian Lander isn't the only freshman who will have an impact
Lander, the five-star headliner of Archie Miller's latest recruiting class, needed only five seconds to score the first of his five points on the night. And while Lander has understandably generated the most buzz of the newcomers, it was one of his classmates who seized top billing on Wednesday. Trey Galloway was super impressive, and he looks like he's going to be a pain in the ass of Big Ten opponents for the next few years. Active on both ends, Galloway was especially excellent in transition. Late in the first half, IU went with a four-freshmen + TJD lineup and Galloway's fingerprints were all over the place. He entered halftime with nine points on 4-of-4 from the floor before finishing with 13 in his debut. Did you know Galloway is the son of a coach? Anyway, between Galloway and Race Thompson, this team might have some GRIT.
Two guys IU will need to be good were good
Predictably, Trayce Jackson-Davis drew the spotlight against an undermanned opponent. But it took some time for him to get going. Jackson-Davis missed a few bunnies early, starting the night 1-for-6 from the floor. But he dropped in each of his next seven shots and finished with a double-double of 26 points — one shy of his career high — and 11 rebounds. Not only did he do his usual work around the rim, Jackson-Davis also teased a bit of touch from up top. We'll have to keep an eye on that and see if that becomes a bigger part of his game in the months to come. Jerome Hunter did some good things, too, looking the part of a player poised to take the long-awaited next step. Hunter flashed an intriguing mid-range game and accounted for one of IU's 3s. Generally speaking, he was a nice complement to Jackson-Davis, finishing with nine points, three assists and two steals. Indiana wants to build Hunter's confidence early in the season, and it feels like his effort Wednesday is a great place to build from.
Up Next: Providence
The real games come quickly for IU this season, with a trip to the Maui Asheville Invitational up next. The Hoosiers will tip off against the Friars on Monday at 2:30 p.m., then draw either Texas or Davidson in the second of its three games in North Carolina on Tuesday. Providence starts the year at No. 56 in KenPom and No. 20 in BartTorvik. The Friars are led by former IU recruiting target David Duke, who's taking on a starring role for his hometown school.


Cleland, E. E, C. M Clark, Scott L Collins, J. E Fargione, Laura Gough, K. L Gross, D. G Milchunas, et al.. 2008. "Species Responses To Nitrogen Fertilization In Herbaceous Plant Communities, And Associated Species Traits". Ecological Archives 89 (4). Ecological Archives: 1175. doi:10.1890/07-1104.1.