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Four TT players in WI Women's U19 Rising Stars team for T20 World Cup
FOUR Trinidad and Tobago cricketers have been selected to a 15-member West Indies Women's Under-19 Rising Stars team for the inaugural ICC T20 World Cup, which bowls off in South Africa from January 14-29.
Shalini Samaroo, who captained the Red Force women's team at the Cricket West Indies (CWI) Women's U19 Rising Stars T20 Championship earlier this year, was selected alongside national team regulars Shunelle Sawh, Djenaba Joseph and KD Jazz Mitchell.
The team, announced by the CWI selection panel on Thursday, is captained by Guyanese batting all-rounder Ashmini Munisar. Munisar led the team on their tours to the US in August and last month in India.
In a CWI statement, lead selector Ann Browne-John said the tournament serves as a historic one.
"In preparation for this the team embarked on tours of the USA and the recent tri-series in India against the hosts and New Zealand.
"These series have identified some competent up-and-coming batters like Djenaba Joseph, Shunelle Sawh and Trishan Holder who are showing potential to transition to a higher level.
"We also had excellent performances from the two main spinners, captain Ashmini Munisar and Shalini Samaroo."
Browne-John added that the squad held training camps over the past few months and their preparations culminate with a final camp to be held in Antigua this month.
She said the international exposure would be extremely beneficial, not only to this group of players, but also serve as an investment and feeder group into the senior West Indies women set-up.
Munisar expressed her happiness at being selected to lead the squad.
"It is every cricketer's dream to play for their country, let alone be able to captain their team, it is an immense honour that I get to do it at this historic inaugural ICC Women's U19 World Cup.
"We have been playing together for the past few months and all the players are gelling and progressing quite nicely and we're all excited to represent the West Indies."
The ICC Women's U19 T20 World Cup will feature 41 matches. The official warm-up matches bowl off from January 9-11.
The 16 participating teams will play in four groups in the preliminary round. West Indies have been drawn in Group C alongside New Zealand, Ireland, and Indonesia.
WEST INDIES WOMEN UNDER 19s RISING STARS SQUAD – Ashmini Munisar (captain), Asabi Callendar, Jahzara Claxton, Naijanni Cumberbatch, Earnisha Fontaine, Jannillea Glasgow, Realanna Grimmond, Trishan Holder, Zaida James, Djenaba Joseph, K D Jazz Mitchell, Shalini Samaroo, Shunelle Sawh, Lena Scott, Abini St Jean
Group A: Australia, Bangladesh, Sri Lanka, USA
Group B: England, Pakistan, Rwanda, Zimbabwe
Group C: Indonesia, Ireland, New Zealand, West Indies
Group D: India, Scotland, South Africa, UAE
January 15 – WI vs Ireland
January 17 – WI vs Indonesia
January 19 – WI vs New Zealand


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Chinua Achebe tells a story of poverty visiting one neigbhourhood and knocking at one family's door. Peeping through a crevice by the window, the owner answered in fear, "poverty does not come our way, we do not even have a chair for you." Poverty answered, "not to worry… I have come with my own stool". And so, poverty sat down on his own stool and could not be evicted! Could this be our story too? I do not believe so, for we are all trying to give comrade poverty a primordial eviction and his continued existence a bland termination, each of us in our own way. Besides mere preachments, I have the audacity to claim that poverty's taproots will surely be extracted from most corners of our nation, in a-not-far- off future. If we really choose to concur and live out this assertion from this very second.
We do applaud the determination with which our leaders creatively seek pathways to change lives. The reality of poverty alleviation in Uganda, like in many other countries of the South is replete with the language of crisis, self-doubt, failure, and a sound of an apocalyptic tune in the main. The last nail in development's coffin is sunk in by the disturbing and ever-rising rates and proliferating variations of corruption. This, however, must not dishearten us, as much as it should be our springboard and push factor. There is an apportioning of blame to the executors of the various initiatives that have had their go at realizing the National Development Plans – beginning from the "Kulembeka drive, to the NAADs initiatives, up to the most upbeat Parish Development Model, but I resound the same tone of optimism that we are on a steady road to recovery for nothing should prey on our national confidence and positive stance on this long match. This is because negativity is only fine on magnets and electrical connections, even amidst the ramifications of the Russia-Ukranian war that has reached our shores.
Even before a host of oft-mentioned failed strategies for development, we must not pale before our efforts to search, experiment with, and find our unique and hidden key to better livelihoods, the way countries such as Malaysia, Singapore, and Taiwan did. Often times crisis moments are also magical rising moments. We all have our very spaces and individual responsibilities to give the development a go and deal with all the hot-button issues that stand in our way, all the way down to our neighbourhoods and households.
I for one, happen to live after Adam Smith's Wealth of the Nations, I am truly a scion of the development discourse that professes human development more than wealth creation, and this is alright as we all can begin where we are most well situated to begin. It is crucial though to know and have a basic premise that: "The real wealth of a nation is its people. And the purpose of development is to create an enabling environment for people to enjoy long, healthy, and creative lives. This simple but powerful truth is too often forgotten in the pursuit of material and financial wealth." Poverty in Africa is such a monstrous hydra that must be tackled from all landscapes, just about everywhere and every how, this is why the debate about the supremacy of science, as opposed to Arts studies, is to me a futile and unfounded one. With such absolute poverty around us, we all need to be wide awake and find limitless entry points to strategize against poverty from our innate wisdom and from all fields of academia.
It is true that in the end, we need money for just about anything, and for realizing development – So money matters, and we must avail resources for income generation, environmental protection, human rights advocacy, and such like. Our moot challenge will always be to accompany this economic development dimension with a lot more reflection, thinking through, a good level of skepticism, as well as the proclivity to jump out of the sinking boat when the time for such sinking ideas gives their appropriate diving signals.
There are also such ideas we must bisect and pursue further, for instance, a visiting European friend observed that not until such time that we learn to conserve our wasted surplus food and eliminate the state of living from hand to mouth every single day, shall we set aside time to rationalize; reflect, analyse, predict, conjecture, and make any meaningful steps to development. Another observer posited that it is worthless distributing funds to desperately poor people, for how could you ensure this money is invested in the desired projects where dire issues like paying a child's hospital bill, bailing a husband out of jail, sending a child back to school are on the other side of the scale? Note as many scholars say, that deprived people frequently exhibit "adaptive preferences," preferences that have adjusted to their second-class status and it takes might to pull them out of this status. So, in one way, the right receivers of this financial help should be those at a fair distance above the absolute poverty line, who, like the wounded with slight injuries, are likely, with help, to substantially improve their situation. Then, we may pray for the trickle-down effect – or am I creating an even deeper problem?
Let me suggest approaches from one impeccable strategist and world mover, Napoleon Bonaparte. It is recorded that his achievements, not his battles, still endear him to the French people. For example, when sugar, which had always come from the British or French West Indies was cut off during wartime, he ordered experiments in producing sugar from European-grown crops. He saved and paid money to researchers for this task, (most of these simple village folk), and indeed motivated by financial gains, fame, and much else, the experiments paid off with the sugar beet, which up to now is Europe's main source of sugar. This grand achievement did not come from universities but from common people that were rightly motivated to use their potential. Similarly, Charles Good year having been challenged by the Roxbury India Rubber company to produce a product that would improve their rubber, the man who was many times confined in the debt prisons for his racking poverty, did not fear to experiment with rubber mixing gum with anything that crossed his way, even when he did not have the background in chemistry and no funding for his work. What are we waiting for? We do not need to spend money making inventors, rather we need to motivate inventors right from the fish folk, farmers, village folk, Boda boda riders, and carpenters, up to universities – is this really so hard?
Needless to say, during these hard times and skyrocketing prices of essential commodities we are challenged to break our development mental models and start all over again because we know we have the brains for our survival and happiness on this wonderful planet. Why not reel off a number of inventors' contests right from the village level upwards. These may require some special motivation that may not hurt the economy for the dividends are always clear. I have my meal ensured for supper and so now I have time to think about lofty ideas of development during this crisis I know you are doing the same and even more than I could imagine, for it is ordained that poverty is going to be evicted from our common home, Uganda!

subset: commoncrawl


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Remittance refers to money transferred to another person, typically from a migrant back to their home country. Consumers increasingly desire faster and more affordable money transfer methods as the world becomes more digital. Online transfers, particularly cryptocurrencies, have proven a viable alternative to traditional remittance payments due to their speed and convenience.
Additionally, the new Bitcoin form of money transmission eliminates several drawbacks of traditional remittance systems. Compared to regular wire transfers, cryptocurrency transactions take minutes rather than days to complete. A recent study discovered that 60 percent of people raised their remittances during the pandemic, a significant rise in terms of worldwide remittances.
Cryptocurrency networks, such as Bitcoin, have established themselves as a safe form of money transfer. Bitcoin is regarded as an attractive technique in the foreign transfer market due to its borderless nature. It needs both the sender and recipient to have a cryptocurrency wallet or account to work. Blockchain firms have emerged to simplify and accelerate bitcoin remittances, despite the fact that they do not require a comprehensive understanding of cryptocurrency or blockchain technology. Individuals unfamiliar with bitcoin can contact an expert to arrange for the transfer or receipt of funds on their behalf. In the Philippines, BankoSentralngPilipinas regulates several platforms for cryptocurrency exchange Philippines to ensure its accessibility and foster the efficiency of the country's payment system. The Bitcoin investment Philippines offers lower transaction fees and allows you to buy and sell digital assets at the best global market rates.
Coexstar Philippines is one of the leading Virtual Asset Service Providers in the country. They provide all cryptocurrency traders with a secure and efficient exchange platform. Visit our website at http://info.coexph.com/ or email us at email@example.com for additional information. To learn more about the benefits of utilizing Bitcoin for remittances, check out this infographic from Coexstar PH.


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Regular Maintenance To Your Commercial Roof
7/18/2022 (Permalink)
Your roof is probably the most important exterior element of your business. Every day, it defends your building against damage from weather elements including wind, rain, sleet, and extreme heat and cold. That's why regular maintenance to prevent potentially catastrophic issues such as a roof leak is so important. By keeping a few basic upkeep guidelines in mind, you can extend the life of your commercial roof and ensure your business is shielded from natural threats.
1. Conduct a visual inspection. Many major roof problems can be identified by simply examining the condition of the roofing material. Any excessive standing water due to rain, snow, or melting ice can cause leaks that will rot wood and rust steel. A "bubbling" effect where roofing materials begin to separate from the base is a possible sign of trapped moisture that may also lead to major leaking. Gaps in the strips of metal around a roof's perimeter can weaken its structural integrity and increase the potential for wind damage.
2. Schedule regular maintenance. Twice yearly upkeep in the fall and spring is essential in keeping your commercial roof in peak condition. Start by clearing the entire area of any debris including leaves, dirt, and gravel that can hold moisture and generate a roof leak. Clean all gutters and downspouts thoroughly to ensure proper damage during precipitation heavy weather events. Seal any gaps in rooftop vents that can allow water to enter and cause flooding.
3. Know when to contact a professional. While maintaining your own commercial roof can be very effective, extensive issues will require the services of a qualified roofing restoration professional. Major moisture damage, significant material loss due to heavy winds, and destruction due to a major weather event like hail are all problems that should be handled by a professional.
While maintaining your commercial roof will require an investment of time and money, it's one of the most important steps you can take to prevent major issues such as a roof leak that will threaten your business.


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From the panoramic views of Alwar city from the peak of Bala Quila to a peaceful picnic at Siliserh Lake which is surrounded by hills & forests, everything excites a traveler to go and see the diverse tourist destination of Alwar, Rajasthan but the wrong choice to visit timings can spoil your trip, mood, & adventure as well. That is why we are here to tell you the perfect time to visit Alwar, Rajasthan which will double the adventure of your trip and you will always be mesmerized by the beauty of Alwar for your entire life.
A Winter Wonderland in Alwar
The winter months in Alwar are ideal for travel, as the weather is mild, and temperatures range from 10 to 20 degrees Celsius. This makes it the perfect time to explore the city's historical sites, temples, and other attractions. The pleasant weather conditions also make it an ideal time for outdoor activities such as hiking and wildlife safaris.
- From October to March: Perfect for Exploring the City's Gems
During this time, the skies are clear, and visibility is good, allowing for stunning views of the surrounding landscape. Additionally, the winter season is also the peak tourist season in Alwar, so visitors can expect a vibrant atmosphere and a variety of cultural events and festivals to enjoy. Overall, the winter season is the perfect time to visit Alwar, Rajasthan for a comfortable and memorable experience.
- A Vibrant and Festive Atmosphere Awaits You
The winter season in Alwar is a time of festivities and cultural celebrations, providing visitors with a vibrant and lively atmosphere. During this time, the city comes to life with a range of cultural events, fairs, and festivals, including music and dance performances, religious celebrations, and more. Visitors can experience the rich history and traditions of Alwar while enjoying a festive atmosphere and lively energy.
- Peak Tourist Season Brings a Lively Atmosphere
During the peak tourist season in winter, visitors can expect a variety of dining and shopping options, as well as a wide range of accommodation options, to suit all budgets and preferences. Whether you're interested in exploring the city's rich culture, natural beauty, or both, the winter season in Alwar offers a truly unforgettable experience. That is why winter is the perfect time to visit Alwar, Rajasthan.
Book Online Tempo Traveller hire in Delhi to Alwar on rent , We Have Deluxe, Luxury & Premium Tempo Travellers Service For Delhi to Alwar. To book your journey to Alwar, click here!
Discover the Magic of Alwar, Rajasthan in Winter: Summer & Monsoon Season < Winter Season
Summer (April to June) | Monsoon (July to September) | Winter (October to March) |
During this time, temperatures can reach up to 45 degrees Celsius, making it quite hot and uncomfortable for sightseeing. | The monsoon season in Alwar brings heavy rainfall, which can make it difficult to travel and explore the city. | This is the perfect time to visit Alwar, Rajasthan with pleasant temperatures and clear skies, making it ideal for exploring the city's monuments, temples, and other attractions. This is also the peak tourist season, so you can expect a lively atmosphere and a variety of cultural events and festivals to enjoy. |
Overall, the winter season is the perfect time to visit Alwar, Rajasthan for a comfortable and memorable experience, allowing visitors to fully enjoy the city's rich history, culture, and natural beauty.
Below are some best tourist attractions in Alwar to explore –
● Bala Quila: A historic fort that offers beautiful views of the city and the surrounding landscape.
● Moosi Maharani ki Chhatri: A memorial dedicated to the queen of Alwar, with intricate carvings and beautiful paintings.
● City Palace: A former royal residence that now serves as a museum and cultural center, showcasing the rich history and culture of Alwar.
● Siliserh Lake: A scenic lake surrounded by hills and forests, perfect for a peaceful picnic or boating excursion.
Yes, you can visit Alwar during Monsoon. The lush green scenery can be beautiful, but the rain can also make the roads and paths slippery and dangerous. Winter is the perfect time to visit Alwar, Rajasthan as the weather is pleasant, making it ideal for sightseeing and outdoor activities.
Winter is the peak tourist season to visit Alwar. Visitors can explore a variety of eating and shopping options, as well as a wide range of accommodation options. It is the perfect time for every kind of person whether you are a nature lover or you love the festivities' vibes.


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Content material
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Section 1 Simple Linear Regression
As a reminder, we consider simple linear regression in this section. My hope is, that all of you have seen this material before at some stage, e.g. in school or in some first or second year modules.
In preparation for notation introduced in the next section, we rename the parameters from \(\alpha\) and \(\beta\) to the new names \(\beta_0\) for the intercept and \(\beta_1\) for the slope.
1.1 Residual Sum of Squares
In simple linear regression, the aim is to find a regression line \(y = \beta_0 + \beta_1 x\), such that the line is "close" to given data points \((x_1, y_1), \ldots, (x_n, y_n) \in\mathbb{R}^2\) for \(i \in \{1, 2, \ldots, n\}\). The ususal way to find \(\beta_0\) and \(\beta_1\), and thus the regression line, is by minimising the residual sum of squares: \[\begin{equation} r(\beta_0, \beta_1) = \sum_{i=1}^n \bigl( y_i - (\beta_0 + \beta_1 x_i) \bigr)^2. \tag{1.1} \end{equation}\] For given \(\beta_0\) and \(\beta_1\), the value \(r(\beta_0, \beta_1)\) measures how close (in vertical direction) the given data points \((x_i, y_i)\) are to the regression line \(\beta_0 + \beta_1 x\). By minimising \(r(\beta_0, \beta_1)\) we find the regression line which is "closest" to the data. The solution of this minimisation problem is usually expressed in terms of the sample variance \(\mathrm{s}_x\) and the sample covariance \(\mathrm{s}_{xy}\).
Definition 1.1 The sample covariance of \(x_1, \ldots, x_n \in \mathbb{R}\) and \(y_1, \ldots, y_n\in\mathbb{R}\) is given by \[\begin{equation*} \mathrm{s}_{xy} := \frac{1}{n-1} \sum_{i=1}^n (x_i - \bar x) (y_i - \bar y), \end{equation*}\] where \(\bar x\) and \(\bar y\) are the sample means.
The sample variance of \(x_1, \ldots, x_n \in \mathbb{R}\) is given by \[\begin{equation*} \mathrm{s}_{x}^2 := \mathrm{s}_{xx} = \frac{1}{n-1} \sum_{i=1}^n (x_i - \bar x)^2, \end{equation*}\] where, again, \(\bar x\) is the sample mean of the \(x_i\).
Lemma 1.1 Assume that \(\mathrm{s}_x^2 > 0\). Then the function \(r(\beta_0, \beta_1)\) from (1.1) takes its minimum at the point \((\beta_0, \beta_1)\) given by \[\begin{equation*} \hat\beta_1 = \frac{\mathrm{s}_{xy}}{\mathrm{s}_x^2}, \qquad \hat\beta_0 = \bar y - \hat \beta_1 \bar x, \end{equation*}\] where \(\bar x, \bar y\) are the sample means, \(\mathrm{s}_{xy}\) is the sample covariance and \(\mathrm{s}_x^2\) is the sample variance.
Proof. We could find the minimum of \(r\) by differentiating and setting the derivatives to zero. Here we follow a different approach which uses a "trick" to simplify the algebra: Let \(\tilde x_i = x_i - \bar x\) and \(\tilde y_i = y_i - \bar y\) for all \(i \in \{1, \ldots, n\}\). Then we have \[\begin{equation*} \sum_{i=1}^n \tilde x_i = \sum_{i=1}^n x_i - n \bar x = 0 \end{equation*}\] and, similarly, \(\sum_{i=1}^n \tilde y_i = 0\). Using the new coordinates \(\tilde x_i\) and \(\tilde y_i\) we find \[\begin{align*} r(\beta_0, \beta_1) &= \sum_{i=1}^n \bigl(y_i - \beta_0 - \beta_1 x_i \bigr)^2 \\ &= \sum_{i=1}^n \bigl( \tilde y_i + \bar y - \beta_0 - \beta_1 \tilde x_i - \beta_1 \bar x \bigr)^2 \\ &= \sum_{i=1}^n \Bigl( \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr) + \bigl( \bar y - \beta_0 - \beta_1 \bar x \bigr) \Bigr)^2 \\ &= \sum_{i=1}^n \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr)^2 + 2 \bigl( \bar y - \beta_0 - \beta_1 \bar x \bigr) \sum_{i=1}^n \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr) + n \bigl( \bar y - \beta_0 - \beta_1 \bar x \bigr)^2 \end{align*}\] Since \(\sum_{i=1}^n \tilde x_i = \sum_{i=1}^n \tilde y_i = 0\), the second term on the right-hand side vanishes and we get \[\begin{equation} r(\beta_0, \beta_1) = \sum_{i=1}^n \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr)^2 + n \bigl( \bar y - \beta_0 - \beta_1 \bar x \bigr)^2. \tag{1.2} \end{equation}\] Both of these terms are positive and we can minimise the second term (without changing the first term) by setting \(\beta_0 = \bar y - \beta_1 \bar x\).
To find the value of \(\beta_1\) which minimises the first term on the right-hand side of (1.2) we now set the (one-dimensional) derivative w.r.t. \(\beta_1\) equal to \(0\). We get the condition \[\begin{align*} 0 &\overset{!}{=} \frac{d}{d\beta_1} \sum_{i=1}^n \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr)^2 \\ &= \sum_{i=1}^n 2 \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr) \frac{d}{d\beta_1} \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr) \\ &= - 2 \sum_{i=1}^n \bigl( \tilde y_i - \beta_1 \tilde x_i \bigr) \tilde x_i \\ &= -2 \sum_{i=1}^n \tilde x_i \tilde y_i + 2 \beta_1 \sum_{i=1}^n \tilde x_i^2. \end{align*}\] The only solution to this equation is \[\begin{align*} \beta_1 &= \frac{\sum_{i=1}^n \tilde x_i \tilde y_i}{\sum_{i=1}^n \tilde x_i^2} \\ &= \frac{\sum_{i=1}^n (x_i - \bar x) (y_i - \bar y)}{\sum_{i=1}^n (x_i - \bar x)^2} \\ &= \frac{\frac{1}{n-1}\sum_{i=1}^n (x_i - \bar x) (y_i - \bar y)}{\frac{1}{n-1}\sum_{i=1}^n (x_i - \bar x)^2} \\ &= \frac{\mathrm{s}_{xy}}{\mathrm{s}_x^2}. \end{align*}\] Since the second derivative is \(2 \sum_{i=1}^n \tilde x_i^2 > 0\), this is indeed a minimum and the proof is complete.
1.2 Linear Regression as a Parameter Estimation Problem
In statistics, any analysis starts by making a statistical model of the data. This is done by writing random variables which have the same structure as the data, and which are chosen so that the data "looks like" a random sample from these random variables.
To construct a model for the data used in a simple linear regression problem, we use random variables \(Y_1, \ldots, Y_n\) such that \[\begin{equation} Y_i = \beta_0 + \beta_1 x_i + \varepsilon_i \tag{1.3} \end{equation}\] for all \(i \in \{1, 2, \ldots, n\}\), where \(\varepsilon_1, \ldots, \varepsilon_n\) are i.i.d. random variables with \(\mathbb{E}(\varepsilon_i) = 0\) and \(\mathop{\mathrm{Var}}(\varepsilon_i) = \sigma^2\).
- Here we assume that the \(x\)-values are fixed and known. The only random quantities in the model are \(\varepsilon_i\) and \(Y_i\). (There are more complicated models which also allow for randomness of \(x\), but we won't consider such models here.)
- The random variables \(\varepsilon_i\) are called residuals or errors. In a scatter plot, the residuals correspond to the vertical distance between the samples and the regression line. Often one assumes that \(\varepsilon_i \sim \mathcal{N}(0, \sigma^2)\) for all \(i \in \{1, 2, \ldots, n\}\).
- The values \(\beta_0\), \(\beta_1\) and \(\sigma^2\) are parameters of the model. To fit the model to data, we need to estimate these parameters.
This model is more complex than the models considered in some introductory statistics courses:
- The data consists now of pairs of numbers, instead of just single numbers.
- We have \[\begin{equation*} \mathbb{E}(Y_i) = \mathbb{E}\bigl( \beta_0 + \beta_1 x_i + \varepsilon_i \bigr) = \beta_0 + \beta_1 x_i + \mathbb{E}(\varepsilon_i) = \beta_0 + \beta_1 x_i. \end{equation*}\] Thus, the expectation of \(Y_i\) depends on \(x_i\) and, at least for \(\beta_1 \neq 0\), the random variables \(Y_i\) are not identically distributed.
In this setup, we can consider the estimates \(\hat\beta_0\) and \(\hat\beta_1\) from the previous subsection as statistical parameter estimates for the model parameters \(\beta_0\) and \(\beta_1\).
In order to fit a linear model we also need to estimate the residual variance \(\sigma^2\). This can be done using the estimator \[\begin{equation} \hat\sigma^2 = \frac{1}{n-2} \sum_{i=1}^n \hat\varepsilon_i^2 = \frac{1}{n-2} \sum_{i=1}^n (y_i - \hat\beta_0 - \hat\beta_1 x_i)^2. \tag{1.4} \end{equation}\] To understand the form of this estimator, we have to remember that \(\sigma^2\) is the variance of the \(\varepsilon_i\). Thus, using the standard estimator for the variance, we could estimate \(\sigma^2\) as \[\begin{equation} \sigma^2 \approx \frac{1}{n-1} \sum_{i=1}^n \bigl(\varepsilon_i - \bar\varepsilon\bigr)^2 \approx \frac{1}{n-1} \sum_{i=1}^n \bigl(\hat\varepsilon_i - \overline{\hat\varepsilon}\bigr)^2, \tag{1.5} \end{equation}\]
where \(\bar\varepsilon\) and \(\overline{\hat\varepsilon}\) are the averages of the \(\varepsilon_i\) and the \(\hat\varepsilon_i\), respectively. One can show that \(\overline{\hat\varepsilon} = 0\). The estimates of \(\beta_0\) and \(\beta_1\) are sensitive to fluctuations in the data, with the effect that the estimated regression line is, on average, slightly closer to the data points than the true regression line would be. This causes the sample variance of the \(\hat\varepsilon_i\), on average, to be slightly smaller than the true residual variance \(\sigma^2\) and the thus the estimator (1.5) is slightly biased. A more detailed analysis reveals that an unbiased estimator can be obtained if one replaces the pre-factor \(1/(n-1)\) in equation (1.5) with \(1/(n-2)\). This leads to the estimator (1.4).
The main advantage gained by considering a statistical model is, that we now can consider how close the estimators \(\hat\beta_0\), \(\hat\beta_1\) and \(\hat\sigma^2\) are to the true values. Results one can obtain include the following:
The estimators \(\hat\beta_0\), \(\hat\beta_1\) and \(\hat\sigma^2\) are unbiased: This means that when we plug in random data \((x_i, Y_i)\) from the model (1.3), on average we get the correc answer: \(\mathbb{E}(\hat\beta_0) = \beta_0\), \(\mathbb{E}(\hat\beta_1) = \beta_1\), \(\mathbb{E}(\hat\sigma^2) = \sigma^2\).
One can ask about the average distance between the estimated parameters \(\hat\beta_0\), \(\hat\beta_1\) and \(\hat\sigma^2\) and the (unknown) true values \(\beta_0\), \(\beta_1\) and \(\sigma^2\). One measure for these distances is the root mean squared error of the estimators.
One can consider confidence intervals for the parameters \(\beta_0\), \(\beta_1\) and \(\sigma^2\).
One can consider statistical hypothesis tests to answer yes/no questions about the parameters. For example, one might ask whether the data could have come from the model with \(\beta_0=0\).
One can consider whether the data is compatible with the model at all, irrespective of parameter values. If there is a non-linear relationship between \(x\) and \(y\), the model (1.3) will no longer be appropriate.
We will consider most of these topics over the course of the module.
1.3 Matrix Notation
To conclude this section, we will rewrite the results of this section in a form which we will extensively use for multiple linear regression in the rest of this module. The idea here is to arrange all quantities in the problem as matrices and vectors in order to simplify notation. We write \[\begin{equation*} X = \begin{pmatrix} 1 & x_1\\ 1 & x_2\\\vdots & \vdots\\1 & x_n \end{pmatrix} \in \mathbb{R}^{n\times 2}, \qquad y = \begin{pmatrix} y_1 \\ y_2 \\ \vdots \\ y_n \end{pmatrix} \in \mathbb{R}^n, \qquad \varepsilon= \begin{pmatrix} \varepsilon_1 \\ \varepsilon_2 \\ \vdots \\ \varepsilon_n \end{pmatrix} \in \mathbb{R}^n, \qquad \beta = \begin{pmatrix} \beta_0 \\ \beta_1 \end{pmatrix} \in\mathbb{R}^2 \end{equation*}\] Using this notation, we can rewrite the \(n\) equations \(y_i = \beta_0 + x_i \beta_1 + \varepsilon_i\) for \(i \in \{1, \ldots, n\}\) as one vector-valued equation in \(\mathbb{R}^n\): we get \[\begin{equation*} y = X\beta + \varepsilon, \end{equation*}\] and we want to "solve" this vector-valued equation for \(\beta\). The sum of squares can now be written as \[\begin{equation*} r(\beta) = \sum_{i=1}^n \varepsilon_i^2 = \varepsilon^\top \varepsilon = (y - X\beta)^\top (y - X\beta) = y^\top y - 2\beta^\top X^\top y + \beta^\top X^\top X \beta. \end{equation*}\] In the next section we will see that the minimum of \(r\) is attained for \[\begin{equation*} \hat\beta = (X X^\top)^{-1} X^\top y \end{equation*}\] and one can check that the components of this vector \(\hat\beta = (\hat\beta_0, \hat\beta_1)\) coincide with the estimates we obtained above.
- Simple linear regression is the case where there is only one input.
- A regression line is fitted by minimising the residual sum of squares.
- Linear regression is a statistical parameter estimation problem.
- The problem can be conveniently written in matrix/vector notation.


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Projects per year
Maxillofacial tumor resection is often dependent on the expertise of the surgeon performing the operation. This study wants to be a first exploration of the role that commercial mixed reality headsets could have in this field. With this purpose in mind, a mixed reality Head Mounted Display (HMD) application is proposed to ease this task and provide a training tool. Due to the invasiveness of the operation, a marker-less registration has been considered as advantageous and therefore a pattern recognition algorithm has been adopted for properly placing a segmented PET-CT scan over the target face. To document the validity and appreciation rate of such a system, groups of physicians and engineers were asked to evaluate and assess the resulting prototype according to the standard ISO-9241/110. The application showed a noticeable accuracy of millimeters, consistent with other biomedical studies, due to intrinsic limitations of the device. Nonetheless, the remarkably positive feedbacks collected from both groups suggest high interest in further work.
Original language | English |
Title of host publication | BMEiCON 2018 - 11th Biomedical Engineering International Conference |
ISBN (Electronic) | 9781538657249 |
DOIs | |
Publication status | Published - 2019 |
- Head and Neck Cancer
- Human-Computer Interaction
- Maxillofacial Surgery
- Medical Imaging
- Microsoft HoloLens
- Mixed Reality
ASJC Scopus subject areas
- Artificial Intelligence
- Instrumentation
- Biomedical Engineering
Dive into the research topics of 'Pattern Recognition and Mixed Reality for Computer-Aided Maxillofacial Surgery and Oncological Assessment'. Together they form a unique fingerprint.Projects
- 3 Finished
CAMed - Clinical Additive Manufacturing for Medical Applications
Vorraber, W., Egger, J., Url, P. & Vössner, S.
1/11/18 → 31/10/23
Project: Research project
FWF - enFaced - Virtual and Augmented Reality Module for 3D Reconstruction
Schmalstieg, D., Schwarz-Gsaxner, C. & Egger, J.
1/07/18 → 30/06/21
Project: Research project
Aortic Dissection
Egger, J., Pepe, A., Schmalstieg, D., Schussnig, R., von der Linden, W., Melito, G. M., Holzapfel, G., Ramalho Queiroz Pacheco, D., Jafarinia, A., Brenn, G., Ranftl, S., Müller, T. S., Gupta, I., Steinbach, O., Fries, T., Badeli, V., Hochrainer, T., Schanz, M., Rolf-Pissarczyk, M., Biro, O. & Ellermann, K.
1/01/18 → 31/12/20
Project: Research project
- 1 Talk at conference or symposium
Pattern Recognition and Mixed Reality for Computer-Aided Maxillofacial Surgery and Oncological Assessment
Antonio Pepe (Speaker)
21 Nov 2018 → 24 Nov 2018Activity: Talk or presentation › Talk at conference or symposium › Science to science
Best Paper Award
Pepe, Antonio (Recipient), Trotta, Gianpaolo F (Recipient), Schwarz-Gsaxner, Christina (Recipient), Schmalstieg, Dieter (Recipient), Wallner, Jürgen (Recipient), Egger, Jan (Recipient) & Bevilacqua, Vitoantonio (Recipient), Nov 2018
Prize: Prizes / Medals / Awards


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Posted 7 years ago
(45 items)
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Pioneering remote monitoring platform helps Parkinson's Nurses to prioritize patients and eases the burden on nurses.
23 November 2022
Award-winning new digital technology, with UK operations in Sheffield was exhibited at PDNSA Conference (Parkinson's Disease Nurse Specialist Association) between the 11-12th Oct, which brought together nurses nationally.
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PD nurses stated that they don't have enough time for appropriate care and nursing.
Chris Gee, UK support lead at Kinetikos Health, said:
"We were very thrilled about bringing our solution to the PDNSA event to show how the solution is easing the burden on nurses' time and allowing them to manage and prioritize their patients more effectively."
At another event with the Neurology Academy in June, Sue Thomas, healthcare consultant of the Neurology Academy said the following:
???"This was a brilliant opportunity to present the benefits of the digital app to the range of people and organizations involved in Parkinson's management across South Yorkshire and Bassetlaw ICS. This includes those living with the condition, as well as consultants, specialist nurses, commissioners, providers, AHSN, and academics from the Universities of Sheffield and Hallam. It was agreed digital technology could improve patient outcomes as well as increasing service capacity and reducing costs."
Kinetikos Platform and Benefits for HCP
Through the platform, nurses can see real time monitoring data, modify prescriptions, communicate with patients and send out tests and scores for the patients to complete.
Developed with Parkinson's nurses and allied healthcare professionals in mind, Kinetikos reduces unnecessary appointments, enables risk stratification and prioritized follow up, saving time for both healthcare providers and patients.


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Please enter your wishes and we'll contact you with a quote
Eygalières - near St Remy de Provence, France
An introduction...
Pure Villa Beauregard is an authentic farmhouse carefully renovated in 2019. The simple yet sophisticated design is set to offer a most idyllic Provençal experience!
Situated just northeast of the village of Eygalieres, this central location allows guests the opportunity to easily explore neighboring Alpilles and Luberon villages, as well as Avignon – all within less than a 30-minute drive from the home.
After day trips exploring the region, guests will relish in the peaceful open views on this private land, as well as the large living spaces both indoors and out.
The interiors are designed with a calming decor that allows one to fully relax in comfort. All six air-conditioned bedrooms are located on the second level of the home, allowing for full common areas on the ground floor. As a result, larger groups can truly spread out and relish in the spaciousness here.
The exterior of the home will absolutely appeal to both adults and young ones alike, with a large pool, terrain de boules and large terraces.
Second Story (1er étage) Bedrooms/ Bathroom Layout:
- Bedroom 1 – Master bedroom, Queen size bed with en-suite bathroom (Tub, shower, 2 sinks, WC). A/C.
- Bedroom 2 – Queen size bed with en-suite bathroom (Shower, sink, WC). A/C.
- Bedroom 3 – Queen size bed with en-suite bathroom (Shower, sink, WC). A/C.
- Bedroom 4 – Queen size bed with separate bathroom (Shower, sink, WC). A/C.
- Bedroom 5 – Queen size bed (or two single beds) with separate bathroom (Shower, sink, WC). A/C.
- Bedroom 6 – Queen size bed, shares bathroom with bedroom 5. A/C.
September 2020 | € 7.300,00 per week |
Oktober - November 2020 | € 5.5000,00 per week |
Low Season 2021 | on request |
Mid season 2021 | on request |
High Season 2021 | on request |
- 6 Bedrooms, 5 Bathrooms | Sleeps 12 guests comfortably
- Air conditioning throughout the house
- Fully Equipped Kitchen including Dishwasher
- Washing Machine and clothes Dryer
- Iron and Ironing Board
- Hair dryers
- Indoor Dining for 12 persons
- Baby Crib/ Cot and High Chair on request
- Swimming pool (16m x 4m)
- Sun Loungers and parasols
- Outdoor Dining for 12 persons
- Gas Plancha
- Terrain de Boules
- Ping Pong table
- Shaded and Grassy areas
- Private Parking
- Broadband Internet/ WiFi
- TV in all bedrooms and one in the sitting room
- English news channels
Services & extra
Included in your rental
Gas, water, electricity
Cleaning service 1 day per week, 4 hours per day
Bed- and bath linens
Intermediate pool maintenance
WIFI internet
Villa representative at your disposal during the full length of your stay
Extra information
Children are very welcome
Smoking is not allowed inside the house
Pool heating (upon request at additional costs)
Check-in from 5:00pm we ask you to leave the house before 10:00am on the day of departure
Arrival on Saturdays with a minimum stay of 7 days in high season (please inquire about exceptions outside the Summer months)
Booking conditions
Reservations are considered valid after receipt of a down payment of 50% of the total rental costs. The balance must be paid 6 weeks before the day of arrival
If your booking is made within 6 weeks before arrival, you are required to pay the full amount immediately. In case of cancellation more than 6 weeks before arrival 50% of the received down payment will be refunded. No refund will take place in case of cancellation within 6 weeks before arrival. We therefore recommend a comprehensive travel insurance.
Our guests can completely relax here
- Owner -
Just a seven minutes drive from the charming and sophisticated village of Eygalieres, a favorite hideaway for wealthy Parisians hosts a number of famous restaurants. Find all of the charm and amenities in the village with butcher, baker, café/ bar and weekly ootdoor market.
The area surrounding the village provides one of the most dramatic landscapes in Provence with the famed Alpilles (hills) adorning the view – an area made famous by the works Vincent Van Gogh.
Within Walking distance:
Provence hills and countryside
Large new supermarket in Orgon


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The Discourse of the Veil: Beyond the Myths and Misunderstandings
March 15, 2023 @ 6:00 pm - 7:30 pm
Rowaida Abdelaziz joins the Hofstra Muslim Student Association as they discuss the meaning of the hijab through personal and professional anecdotes and tackle the widespread misconceptions and stereotypes surrounding Muslim women.
Location: Hofstra University, Guthart Cultural Center, Theatre Axinn Library, South Campus


text: It's time for our semi-annual Botox Week! And as we have done the last couple of times, we are extending it out to two weeks so that we can accomodate more people over the course of the event. Botox is $9/unit starting today until April 14th (I will be in the office on that Saturday). And during the Botox Week event, we will be having drawings for Free Latisse, too!


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San Diego Padres Relay City Connect Core Logo
Sold Out
The Relay hoodie meets all your San Diego Padres game day needs. Lightweight, breathable fabric keeps you cool when the game heats up. In need of extra storage? A kangaroo pocket easily fits all your belongings to keep your hands free for cheering.
Our mission is simple.
At Levelwear, we strive to design and build the best on-trend, performance-based apparel that is inspired by athletes and made for those who love their sport.
Your favourite apparel shipped right to your door.
We understand the importance of receiving your order on time. On all qualifying orders over $100, enjoy Free Standard Ground Shipping on us.
Try it on and see what you think.
Our return and exchange policy is flexible to fit your needs. From the day your order ships, we offer a 30 day return and exchange window in case you happen to change your mind. Exclusions Apply.


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The trade deadline waits for no one — not even the players who are still on the court.
Just ask Harrison Barnes, who was dealt to the Kings while logging 26 minutes during the Mavs' 99-93 home win over Charlotte. One minute, Kristaps Porzingis (last week's news) was waving hello to the Dallas community…
The next, Barnes was saying goodbye…
— Harrison Barnes (@hbarnes) February 7, 2019
To his credit, Barnes stayed on the Mavs' bench to support his teammates even after news broke of the trade. LeBron James, however, pointed out that player movement can be unfairly skewed against athletes but in favor of teams.
Sacramento is Barnes' new home now, and it will be interesting to see how the 6-foot-8 swingman meshes with his up-and-coming teammates. The Kings have only just struck on their best chemistry and on-court success in 15 years. That hasn't stopped them from shaking it up in an effort to accelerate their progress now.
Dallas, meanwhile, might have lost a step in this year's playoff race, though that setback could be extremely temporary. The Mavericks, who are Luka Doncic's team now more than ever, are now well positioned to add more dynamic talent this summer. Throw in a potentially healthy Porzingis, and Dallas' 2019-20 leap could be breathtaking.
Let's make a deal
Barnes was one of many to reportedly address changes on Trade Deadline Eve. The most timely switch occurred in Sacramento, where Kings guard Iman Shumpert found out he was traded to the very same Houston team Sacramento was playing. Not a bad head start on meeting new teammates.
Chicago and New Orleans also executed their own business even as their respective teams faced off in the Windy City. The Pelicans picked up a second-round pick for taking on remaining months of Markieff Morris' contract, while the Bulls shipped off Bobby Portis and former homecoming king Jabari Parker to Washington in exchange for Otto Porter.
The move shocked Portis and Parker, each of whom spoke to reporters before the night was over.
Bobby Portis just left the United Center. All he had with him was a small Louis Vuitton backpack on his back, a pair of shoes and a Bulls jersey. He looked shellshocked.
— Darnell Mayberry (@DarnellMayberry) February 7, 2019
"It was great here. It was a great experience. I wouldn't have traded it for nothing." – Former Bulls guard Jabari Parker.
— Darnell Mayberry (@DarnellMayberry) February 7, 2019
Jabari Parker was surprised the Bulls moved Bobby Portis: "Bobby is the leader, the captain of our team, and just a guy that they loved. For him to get moved is obviously bitter. But hey, that's just how it goes.''
— K.C. Johnson (@KCJHoop) February 7, 2019
The Bulls' acquisition of Porter, meanwhile, should jog the memories of Shaqtin' fans around the world.
Catch up on all our deadline updates with the NBA.com's trade buzz. Also, don't miss NBA TV's trade deadline day coverage running from 1-5 p.m. ET on Thursday.
Durant breaks silence
Kevin Durant went more than a week without speaking to the media, and yes, it was on purpose.
The Warriors superstar was upset with the media for insinuating the Knicks' trade of Kristaps Porzingis was meant to pave the way for Durant and possibly other superstars to sign with New York in the coming offseason.
"I have nothing to do with the Knicks," Durant said emphatically. "I don't know who traded Porzingis. That ain't got nothing to do with me. I'm trying to play basketball.
"Y'all come in here every day asking about free agency," he continued. "You ask my teammates, my coaches, you rile up the fans about it. Let us play basketball. That's all I'm saying. Now when I don't wanna talk to y'all, it's a problem with me. Common, man. Grow up. Grow up."
Big quarters
While the Wizards were wheeling and dealing off the court, the Bucks were blitzing them on it. Milwaukee scored a whopping 50 points in the first quarter (on 74.1 percent shooting!) en route to a franchise scoring record in their 148-129 win over Washington.
Giannis Antetokounmpo was at his long-striding best, torching the Wizards for 43 points on 17-of-21 shooting. Here's a look at the All-Star captain's absurd shot chart:
The Bucks' killer quarter wound up just barely topping the Warriors' nightly post-halftime push. The two-time defending champs dropped 49 points in the third quarter of their 141-102 rout over the Spurs. DeMarcus Cousins, Klay Thompson and Stephen Curry scored 10 each in the period.
Not that the Spurs were concerned, as Gregg Popovich chose to rest his stars and trot out a starting lineup of Rudy Gay, Davis Bertans, Jakob Poeltl, Patty Mills and Marco Belinelli.
Russell's All-Star statement
D'Angelo Russell may be an injury replacement in the upcoming All-Star game, but he followed up the league's selection with a decisive performance against one of the West's best teams. The former second overall pick poured in 27 points, 11 assists and six rebounds while leading Brooklyn to a 135-130 win over the Nuggets
The newly minted All-Star isn't a self-centered teammate, either. Just look at the part he played in the Nets' epic bench celebration following a successful Shabazz Napier Eurostep assist:
Honoring the legends
Golden State did Black History Month right by hosting and honoring Olympic track and field star Tommie Smith, who became an athletic icon of civil rights in the late 1960s.


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Let's work together!
Website Design
Connect with your customers and grow your small business with a custom website.
Our custom website design will give your small business a clean, easy-to-navigate site that attracts visitors, and converts them into customers, all while retaining and serving your existing customers.
We are passionate about helping clients articulate and share their brand through a website and online solutions. Let's find the right tool to get the job done – one that fits your business needs.
Through the process, we'll listen and learn about your business, understand your unique challenges, build a clean website, optimize your content for SEO and provide the training and support you need to manage your tools moving forward.
Contact us today to get started!
Step by step
The Website Design Process
Each project is unique, which is why pricing and timelines are not published online. The process is similar – here's what to expect.
Free Consultation
We will meet to scope your project based on your business needs and vision.
We'll send you a custom quote and contract for your review and signing. Pricing is dependent on your needs, but my goal is to provide you with what you need and not oversell.
Design + Build
We will meet many times during your project to ensure the vision and functionality you desire to become a reality!
Because we are creating a custom website for your business, your input and feedback are critical. Expect to communicate via email and phone or video conference throughout the project.
Launch + Training
This is where things get real! We've created your site, tested its functionality and you are ready for the world to see it.
In the time leading up to and shortly after launch, you will receive videos to walk you through how to make minor updates to the site.
Encouraging. Knowledgeable.
Working with Hemlock Strategy + Design
At our core, we believe that every business, no matter the size, deserves the best project experience possible. We approach projects with a heart to learn about our client's unique businesses and customers, to provide the best tools possible, and to teach our clients how to optimize their websites moving forward.
We believe a website is more than a group of nice-looking pages. A small business website is often the first stop for your prospective customers. We want your website to be found, to have a great user experience, and convert potential customers into paying customers.
All the Details
What's Included in Our Website Design
With your input, we will build a custom website specifically for your business and needs.
All Hemlock Strategy + Design websites include the following:
If this is your first site or a redesign, we'll develop an overall strategy for the purpose of your website. Not sure what you need? We'll develop it together!
Project Management
A website can be a large undertaking. Our repeatable process and project plans will keep everyone organized and on track during the entire engagement.
Search Engine Optimization
Basic Search Engine Optimization (SEO) is included with every site. Through the project, we'll discuss ways to improve your text for SEO purposes. Additional SEO services are available upon request.
Throughout the process, education is a cornerstone of our work. We want to make sure you understand what we are doing and why so you can be confident in your website moving forward.
Device Responsive Site
Your site will be device responsive, meaning it will look great on mobile devices, tablets, laptops, and desktops.
Wordpress Platform
WordPress is a leading content management platform (CMS), with over a third of all sites using it. It's great for beginners, scalable, and flexible.
Whether you are a WordPress pro or newbie, our video training will ensure you are equipped to manage basic edits on your site after our project has ended.
Email Marketing Connections
Regardless of your social media presence and strategy, we believe in the importance of email marketing. We'll talk through the options and your project will include an opt-in to your email marketing platform.
Website Hosting
Your website may be hosted on our hosting platform which has been selected to work specifically with WordPress sites, as well as being secure and reliable.
Additions and Options
Need more than a basic website? We've got you covered!
Shops + Ecommerce
Let's get your business selling online – we develop on the WooCommerce platform, which provides great flexibility for, you the shop owner, to create the shopping experience you want to offer your customers.
Affiliate Programs
Ready to expand your reach through Affiliate Marketing? We've got the tools and experience to build a custom Affiliate Program for your WordPress website.
Membership Groups
You have a great idea for an online community or protected content – we'll set you up on your site! Whether you want to build a paid course, provide a series of tutorials, or an online community, we'll set up these features on a WordPress website, Kajabi platform or other membership tool.
Website Design Frequently Asked Questions
Looking for a little more information? Check out these common questions. Still left scratching your head? Please reach out!
Where are the prices for your website design?
We hunt for the pricing when we look at services and tools. We aren't hiding anything from you, but have learned that each client comes with a different set of expectations and needs. We view a website as an integral part of your business moving forward and want to make sure we scope your site to fit your needs.
We'd love to have a 30-minute consultation to learn more about your business and give you a quote that is sized for the best solution based on your growth plan. We promise to not schmooze or oversell.
When will my website be ready?
The timeline is based on our standard work processes. Smaller websites can take a couple of weeks once content and photos are pulled together. Larger websites may take a couple of months, depending on the functionality and scope of the work. We work closely with our clients to outline what deliverables are needed to keep the design process moving.
We'll chat about the timeline during your consultation – it is helpful to know the events coming for your business – opening, product launches, major vacations or other seasonal work that may require attention outside of the website project.


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FAQ FAQs
name address change copy duplicate copying
copy duplicate template replace locked lock copying
Company Business POA Trustee Power Attorney Bank Own owned relo relocation
create new create a new for this client property DISCLOSURE DOCUMENT
partner partners
sync syncing cbs dates utilities
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turn in
customer support phone list white board
to do items list tasks
c to do items list tasks
create disclosures & folder for this buyer's offer
contracts brokerage disclosure Smart eContracts
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Smart eContracts
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template Smart eContracts
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updating changing find
creating create on file all new contracts instructions uploading personal professional signature file and settings
How Electronic Contracts are Signed Electronically
email web signature client participant electronic documents online
Signature Received SMART
Web Signature Email Notification eContracts
Once you have created a Parent Contract, the Detail Dashboard for that transaction will be displayed automatically after you click SAVE and close the browsers window/tab for that contract.
Once you close the window/tab for the Parent Contract you will be in the Detailed Transaction View and the list of documents for that transaction will be displayed.
You will see the Email Contracts link above the list of documents, center - right, and the Detailed Dashboard will be on the right side of your screen.
You just need to click on the link of a document to open and complete it. lang:2021cs


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This is another important milestone for adding more renewable energy in an area with a power deficit, says Kristin Melsnes, CEO at Solgrid.
Solgrid is collaborating with Encavis, a leading independent power producer in Europe, to realize the Mörghult solar power plant on the east coast of Sweden.
The solar power plant is located in Västervik in Småland and will, according to the plan, produce around 15 GWh a year after grid connection in the third quarter of 2023. We are very pleased with the collaboration with Encavis, which gives us the opportunity to realize the project, says Kristin Melsnes, CEO at Solgrid. This is another important milestone for adding more renewable energy in an area with a power deficit, concludes Melsnes.
Encavis is also a co-owner of the Varberg Norra solar power plant, which was finalized in April 2022 with a production capacity of 5MW. We are happy about the second successful project in our partnership with Solgrid in Sweden, says Mario Schirru, Chief Investment Officer/Chief Operations Officer i Encavis AG. The Mörghult solar power plant not only brings us closer to our capacity increase in line with our growth strategy, but it also strengthens our presence in Scandinavia, which is one of the most interesting new solar energy markets in Europe, Schirru concludes.


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The plastic tarps are among the most versatile and cost-effective materials to be used for various applications. Whether for the outdoor applications or home, the heavy-duty poly tarps are hard to combat. You will find plenty of uses of the tough poly tarps to protect people from the sun rays, debris and dust.
What makes the poly tarps even more usable is that you can transport them easily from one location to another.
Tips to buy poly tarps:
The poly tarps are available as light-duty and medium-duty applications but when you need to buy heavy-duty applications, considering a few factors is necessary. From the strength to the size and color, you have a wide range of parameters based on which you need to choose.
- Thickness
The thickness of the heavy-duty poly tarp is one of the aspects to consider before buying and is usually measured in mills. So, the larger it is on terms of mils, the thicker is the tarps. When you need protection from excessive rainwater and storm water during the natural calamities, using a heavy-duty tarp is the right option. For a heavy-duty usage, such as covering of carport, you need to choose a tarp with a higher mil.
- Lamination of the tarp
The heavy duty poly traps usually have a mesh covering on the top that is laminated between the double layers of the polyethylene films. For the heavy-duty or the super heavy duty tarps, an additional layer of black polyethylene with a lamination at the center provides an added benefits the sun's rays do not penetrate the tarp.
- Size
The size of the poly tarp is another major consideration that needs to stay in your mind when buying. You need to check the description properly and take proper measurements before selecting the tarp.
- Grommets
Does the heavy-duty tarp have a grommet or a metal ring lining on the edge? What you need to check is the spacing of the grommets and ensures that it is a good buy.
- Mesh fabric
Checking the mesh fabric specification is also significant as it determines the weight of the thread.
- The heavy-duty poly tarp must have undergone chemical treatment when manufacturing the material and prevent degradation.
- The poly tarps are free from mildew and rot as the laminated film between the polyethylene layers offer protection from water penetration, especially on the truck beds.
- The poly traps are usually not flame-resistant but some of the varieties do have this quality, so you need to check the specifications clearly before buying.
- The sun blocking tarps are good for heavy duty usage due to an additional layer of black polyethylene.
- You may choose from different colors when buying a heavy-duty tarp.
Choosing the materials:
There is a wide range of heavy-duty traps available. However, you need to know which option to choose.
- A canvas tarp is good for heavy-duty applications as it resists heavy rain for long periods.
- The vinyl-coated poly tarps are available in various colors and offer the benefits of a heavy-duty tarp.
- The iron horse tarp doubles the resistance of a canvas tarp.
These are some of the options and the parameters you need to consider when buying a heavy-duty tarp but the final decision is based on the specific requirements.


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Is your garage door making an unusual noise?
Do you find it impossible to raise or lower your garage door properly?
Whatever the case is, the situation is a sign that rollers are damaged or broken. And it's time to call a professional and get services of Garage Door Roller Repair in Tampa, FL
Please don't use garage doors with broken or damaged rollers because it's dangerous. A heavy garage door may crash on the floor or over your car.
Always call a trained roller repair specialist in Tampa, FL. Prestige door service providers are highly trained and fully licensed. As soon as you call us, we send our team to inspect the situation and offer you all the expert help you needed.
Garage door rollers are an important part of the overall system. They facilitate the smooth opening and closing of the door. Here are signs that tell you that rollers are broken or damaged and need roller repair services in Tampa Florida
If rollers are in good condition, they won't create any noise as they spin freely in the track of the door. However, when they are in bad condition, they produce a grinding noise during door motion. It's the sign that tells you to seek professional repair help.
When rollers are damaged, they make it difficult or simply impossible for you to raise or lower your garage door.
If you notice any warning sigh, you need to seek either replacement or repair services. You may wonder what will happen when you don't make a call for professional help.
Well, damaged rollers can bend the track and let the door go off the track. It may cause unnecessary pressure on the garage door opener. You must schedule garage door repair service in Tampa to avoid all these issues.
Many different causes lead to broken or damaged rollers.
Prestige Garage door service providers in Tampa are experienced enough to repair and replace all kinds of door rollers. We also recommend the best rollers type to our clients, if they need any guidance.
We are skilful in repairing the following three types of Garage Door rollers:
It is the best material for those who need excellent roller performance with quiet door motions. Nylon rollers are often equipped with 10 to 13 ball bearings, therefore they offer more dependable and smoother performance than their counterparts. They last longer than 10 years and up to 15,000 cycles.
It is a traditional roller type available in the market. They are an economical option than nylon. Many homeowners often replace steel with nylon because they want quiet door functioning. Steel rollers make noise and they are not as smooth as nylon because they equip with 10 ball bearings. Besides, this material requires constant lubrication for its proper functioning. They last up to 7 years or 7000 cycles.
When it comes to cheap door rollers then plastic seems like a good option. They come without ball bearings and last up to 2-3 years. Normally, new doors come with plastic rollers. But homeowners should know that this type requires frequent replacement service in Tampa, FL.
All door rollers have life expectations and cycle ratings. Most of them are good to go for up to 5 to 7 years. So, you should replace your garage door rollers between 5 to seven years. In case you have been using them for more than seven years, it's time to get professional roller repair help to prevent future garage door problems.
The cost of replacing the roller is something between $90 to $180 on average. When your garage door rollers are broken or worn out, you should call skillful technique for roller replacement service in Tampa, FL.
Prestige provides the best garage door roller repair and replacement services in Tampa FL. We are experts at fixing any issue with your garage door, and we always use quality parts and materials.
You can count on us to get the job done right – the first time. We're so confident in our work that we offer a 100% satisfaction guarantee on all of our services. Plus, we're available 24/7 for emergencies. So whether you need a quick repair or an extensive roller replacement r, Prestige is the company for you!
Contact us today for a free estimate on our garage door roller repair services in Tampa Florida!