text:
Matrimonial Investigations
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Injury & Insurance Investigations
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Request A Discreet Call Back
The Family Thief
Reveal PI
We were contacted a woman who was determined to find out who had stolen from her house, the difficulty was that all of the suspects were family. She had lost contact with her grandchildren almost entirely as there had been numerous occasions of petty theft but on this occasion jewellery including a number of pieces of asian gold had gone missing. The police were called but due to lack of forensic evidence they were unable to pursue the case leaving her with no way of proving her suspicions were correct, she decided a lie detector test was the only option.
The grandchildren were in their mid 20's but this had been a recurring event over the previous years and she had decided that enough was enough, we spoke with the family after a small intervention they agreed that all of the grandchildren would come in and take the polygraph test. Our examiners reassured them that we were not going to be contacting the police and that the outcome was entirely in the hands of their family.
After examining three of the grandchildren and confirming they had no involvement with the case we were introduced to the fourth grandchildren who seemed incredibly calm and composed. He spent some time asking us how do lie detector tests work and made jokes that he knew how to cheat on a lie detector test. During the exam he remained composed yet when asked if he had any involvement in the theft his results immediately showed abnormalities, on the surface his demeanour was still calm and unchanged but our examiner knew to continue with the line of questioning. When he returned his questions to the subject's knowledge of the stolen items he appeared to realise that the examiner knew he was lying and quickly his behaviour changed. He started sweating and his speech became noticeably faster, when confronted outright the results showed he was clearly lying and eventually led to him confessing to the theft. Although he had a sob story about how the money had been used for good purpose it did not change the fact that he had stolen from the family and lied about it for some time.
Speaking with the family after the event had happened it turned out that the reason he had agreed to the test and shown such a calm and collected response was because he had been searching on google for ways to cheat on a lie detector test and felt confident that he would be able to pass even though he was lying. Our examiners are trained to the highest standard and have thousands of hours of experience so even the calmest, collected and most meticulous of liars will find themselves coming unstuck.
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A Taste of Patience – By Mohamed Eid Al Araimi « Being The Safe Driver! Behind The Wheel!
After twenty years of contentious struggle with handicapped, and its healthy repercussions on both body and soul, I finally decided that its time to vent all my feelings, and make others know what does it mean for a person to find himself suddenly losing sensation in most of his body's organs, and is no longer able to scratch his nose!
"Taste of Patience" isn't but a desire to deduce the meaning of experiencing what happened, It is an attempt through which, I wanted to reveal my experience with handicap, and the various dimensions of illness and casualties. It is also an attempted to demonstrate that reconciliation with disability does not mean surrendering to its consequences, and yielding to its stipulations, but rather employing these consequences and conditions to enhance my new life.
"Taste of Patience" is an away to remove the whir of the questions that possess the minds of many people, whether they are relatives, who find direct questions painful, or strangers whose eyes are filled with wonder and pity for the handicapped person.
Book is being sold at The Muscat International Book Fair February 26 to March 6th 2014 with International Islamic Publishing House.


I am a passionate man that likes to do many things. I like traveling and exploring and am very adventurous, but at the same time don't mind spending time at home in front of a nice cozy fireplace and bottle of wine with the right woman. I am a family man and a good man and work hard but also like to relax and enjoy life. I am a very funny man too and love to laugh and smile and sometimes cry what can I say yes I am emotional at times.
I am seeking a trustworthy faithful and very loving woman whom will be my best friend lover and soulmate. She also should have God in her life as it is important to me too. I fall in love and stay in love for life when I will find her.
Travelled all over the world.


Parents who are cut off by adult children often tell me their hearts break daily, that they can't get away from the pain, and that they will never heal.
When you're cut off by adult children, it's as if your world stops. Life as you've known it becomes a memory—only you can start to wonder if any of those happy times were even real. The shock is normal, and in my book, Done With The Crying: Help and Healing for Mothers of Estranged Adult Children (which is for fathers too–see note), I speak plainly about the early daze of estrangement, and explain some science behind what you feel.
One thing that helped me was to regard my thoughts and actions as an assortment of remedies in bottles on a shelf. Imagine your thoughts as powerful herbs. Are they soothing healing tonics? Or more like poison? Imagine the things you do and talk about as strong medication. Are they helping you to heal? Or causing side effects?
When a doctor prescribes medication, adjustments are sometimes required. Trying different remedies, evaluating their effects, and making alterations, are often all part of finding a cure. When we're cut off by adult children, it helps to think of our actions in a similar way.
Is looking at my estranged daughter's social media pictures and posts helping me or hurting me?
Is sitting up in the dark after everyone else has gone to bed helping me heal?
Are my attempts to contact my estranged son bringing progress?
Is thinking over my situation problem-solving, or more like dwelling?
Is the "dose" too high? Or perhaps too low?
Can I limit how many times I look at social media?
Can I make a decision not to allow myself to dwell?
Would it be helpful to fill more of my time with productive hobbies?
Can I do more activities that fulfill me as an individual aside from my role as a parent or grandparent?
Reflect for a few moments on your reaction to some activities and thoughts. Is there a connection to how you feel? Do things you do, think, and talk about affect your mood? If you had an allergy symptom, your doctor might expose you to substances until the source of your adverse reaction was clear. When we're cut off by adult children, we know the source of the pain. Could what you're doing, saying, or thinking be making it worse?
Your go-to thoughts and actions can become habitual. Without intending to, you could be prescribing daily doses that hinder your healing.
Are the things I do, say, and think helping my broken heart to heal?
Am I "prescribing" useful remedies, or are my thoughts and actions more like ingesting poison?
My book explores the painful phenomenon of being cut off by adult children in a logical manner that starts with the devastating shock of estrangement. Pages of examples and insight help you move through the most common questions, deal with sticky situations, and overcome obstacles toward healing. But you can get started now.
If you could step outside yourself, and imagine being a loving caregiver, what would you tell yourself? What would you do for yourself? What would you recommend or prescribe?
You are courageous and kind. You are mothers and fathers—among the smartest most resourceful people on the planet. Use that strength now.
Of course, I'm not talking about actual substances or medications of any kinds. I'm using those sorts of terms as metaphors, The prescriptive remedies or medications mentioned refer only to thoughts and actions.
With that in mind, put yourself in your own loving care.
This entry was posted in Latest Posts, What Parents Can Do on June 8, 2016 by rparents.
are you aware of this? i would be very grateful if you would check this out & i am planning ton order your book!
there, there is no eraser for this pain.
Perhaps you will be able to come to similar conclusions in time. Meanwhile, I'll be thinking of you fondly as I do all the hurting parents who write and comment. I hope you will do something good for yourself today that makes you happy in the moment where joy can be relished.
Thank you, Sheri, for writing your book, Done with the Crying. It is excellent. For the first time, I feel I have regained some sanity since this all began. I do not feel alone anymore. So many mothers and fathers are going through an unexplained, painful adult child estrangement. Your book is such a gift. Thank you.
Thank you, Juanita. I'm so glad you've found it useful! Keep moving forward … one step at a time.
Sometimes I think you must have a direct connection into my thought processes and emotions as I am always amazed how often your posts coincide with my thoughts and feelings. Just in the past few weeks I've been examining how often I think about my ED and how it affects my everyday life — Are the things I do or say helping in my healing? I've been trying to get the tape of my daughters life and interactions since her rejection to stop playing over and over again in my head. I have been working very hard to make a conscience effort to stop myself when I feel myself going there and if I'm alone I will actually tell myself that I've already wasted too much time (4 years) dwelling on something that I cannot change. When I recognize that I'm going down that path, I now make myself stop, redirect my thoughts to happier thoughts about people who do care about me, or the beauty of the flowers in my garden, the kindness of friends, or my son who does share his life with me. I've changed some habits that I recognize were not good for me emotionally. Before, I would check out face book before going to bed to find photo or a snippet of information about her life. Now I set aside time to read an uplifting book so I have positive thoughts in my head when it hits the pillow. I've wiped out all expectations from her; if I don't expect a Mother's Day card, I'm not disappointed when I don't receive one. I don't ask for photos of life events, because they never quite get around to sending one. I've found the less I do know about her life, the easier it is for me. Of course, I want to know that she is alive and well, but beyond that, the less I know, the less I have to think about. As far as the things I say – I have finally become comfortable when people ask about my ED, I used to cover up and mention something I learned from others about what she was doing, now I feel more comfortable just saying "I don't really hear from her often" and leave it at that. Besides, because we no longer live in the neighborhood that our children were raised in and she doesn't visit, neighbors and new friends don't know her and she has drifted away from family and old friends so there aren't many people that ask anymore.
I like your metaphor of thoughts and actions being medications. Are they helping me heal, or prolonging my journey? I liken it to my issue of having gained weight and the resulting rise in my cholesterol levels in these years of estrangement. I could take meds to adjust my cholesterol, but I can also do the hard work of eating healthy, (no emotional binges) losing weight, exercising more which will lead me to a healthier body (and mind) which I have chosen to do. Same with my emotional health. I need to put in the hard work of replacing my bad pattern of dwelling on my ED, or always jumping to offer an "olive branch" if I think there is a chance she'll take me up on it, with intentional focus on making my life and those who want me in my life better. Thank you for your posts. They are always encouraging.
Lots of wisdom in your comment, rosegarden!
Sending bouquets of good feelings your way!!!
There is no cure for a broken heart, and I will never be able to accept the loss.
Finally, enough years and tears have passed that I no longer allow myself to dwell on it.
My daughter and I had a very close and respectful relationship. In her late 20's she married, moved to her husband's family's East Coast home-they are a mix of Iranian and Bronx Irish Catholic and very matriarchal. They connect for three meals a week and vacation with each other twice a year. All holidays and birthdays are spent together. It has been 9 yrs. and three grandchildren since they have visited me. Although I go to visit annually until now. I was thrilled for my daughter as I thought my daughter having another supportive and loving family was such an added plus.
Until with each annual visit my daughter would be demeaning and verbally abusive to me-even in front of my grandchildren. Her husband laughed as did his family. After 8 yrs. of feeling confused, guilty over whatever and alone-this summer when my daughter shook her fist in my face and told me that I couldn't leave the room and I'd better listen (I was an educator for 31 yrs. and have PH.D. And, feelings, too)-my mind just turned a page and I have made the decision to become estranged from my daughter…for self preservation. I have a background in counseling and behavioral sciences but I needed a guiding tool to help me maneuver the days and moments. Thank goodness for your words of understanding and common sense. I now, know that I can still love the girl I raised, but I do not have to accept the behavior of the insensitive adult woman.
Cathy E. God bless you for your courage and strength in deciding to protect yourself. Let's not survive this situation let's pamper ourselves, love ourselves, and grow in new directions.
I hope that each one of us stops listening to the character assassination from our ECs. Time will likely be unkind to them. If they can reject their loving parents how will their children treat them after being indoctrinated in alienation, hatred, and ridicule of their own family.
Your generosity and love for your daughter and others are reflected in your writing. We need it and this world needs it. Go outside and smile at everyone you see. You need to know you are a treasure.
My stomach was in knots reading about your daughter's public abuse towards you. The fact that others enjoyed the display is sadistic. No one should avail themselves to that malignant behavior. You are absolutely right, there is nothing you can do but protect yourself.
Cathy E! tonight, as I read your words about the insensitive adult she's become, you have moved mountains out of my way! I have two daughters doing this to me and you know what, you gave me that first stepping stone to get up out of this sorry situation. thank you see!
I have 2 adult daughters that very little contact with me. After years of them not caring, I am moving on. I bought your book. I also go to counseling that helps. It's sad that I don't know the reason for their distance. I accept it, face the reality of it, and keep my distance. Healing takes a long time. You have to go through horrible pain to get to the acceptance part. Just keep going until you get there. Life is too important not to have a good life.
I have ordered your book Sheri and am waiting for it to arrive. I never ever thought that my first born child that I was incredibly close to would ever break my heart like he has done. His wife from day 1 set about estranging him from his entire family, and we were last but not until after we had given them $50k for a house deposit. He has bipolar and has given his life to an ugly hearted creature to manage. Just so painful on more than one level.


The costs to collect and freeze ovarian tissue are in the $10,000-15,000 range for the procedure. In some cases, the procedure can be done as part of another necessary surgery so that most of the cost is covered by insurance. Re-implantation fees are additional. Storage fees vary, depending on the storage facility, but are in the $275-1000 per year range. ReproTech's ovarian tissue storage fees are the lowest of all the major facilities in the country.


Be proud - be Grandparent proud!! Saying is "Some people wait their entire lives to meet their favorite player - I'm Grandma to mine" Choose sport for the letter in Favorite or keep it generic. Also choose Grandma or Grandpa. Could also be used for Uncle, Aunt, Brother, Sister etc. Choice of Unisex 100% cotton or 50/50 DryBlend T-shirt. Also optional Add-On - Name and Number on the back.
Medium-weight 100% nylon Toughlan® shell, wind proof/water resistant. 9 oz. Heavyweight cotton/polyester/rayon jersey gray color lining. 3-piece-cut hood for better fitting. Raglan sleeves. 2 outside zipper pockets. 1 inner right chest zipper pocket.
100% Acrylic Knit, 8" in length.


text:
Anindito Mukherjee/EPA
Our thirst for new gadgets has created a vast empire of electronic waste
February 10, 2016 5.22am EST
Ian Williams, University of Southampton
Ian Williams
Professor of Engineering and the Enviroment , University of Southampton
Ian Williams receives funding from EU and EPSRC.
University of Southampton provides funding as a member of The Conversation UK.
Technological improvements mean that the phones, tablets, computers and other electric devices we find so essential are cheaper and more powerful than ever. But this means we upgrade them sooner and they quickly become unwanted or obsolete, and are thrown away. The huge amounts of waste electrical and electronic equipment – WEEE, or e-waste – that results is quickly becoming a major worldwide environmental, economic and health problem.
A recent report by the European Union-funded Countering WEEE Illegal Trade project found that only just over a third of Europe's e-waste ended up in official collection and recycling programs. The rest, amounting to over 6m tonnes a year, was either exported (1.5m tonnes), recycled in ways that fell outside the law (3.15m tonnes), scavenged (750,000 tonnes), or simply thrown in the bin (750,000 tonnes). Considering the vast quantities of e-waste produced worldwide, where this waste ends up is a serious concern. Considering the energy and materials-intensive process of manufacturing it in the first place, so is the impact on the world's natural resources and environment.
E-waste is bad for the environment
But not all e-waste is the same. Different equipment can contain hundreds or even thousands of different substances, some of which are potentially highly toxic, while others are extremely valuable. This has led to theft: in 2012 the EU estimated that theft of valuable components and materials from e-waste was worth between €800m and €1.7 billion. Much of electronic waste is made of metals: gold, lead, nickel, silver, tin and zinc, alongside valuable reusable plastics. Hazardous elements include materials such as asbestos, batteries, printed circuit boards, and printer toner cartridges.
Throwing away high-value materials represents a huge waste. However, the economics of extracting them don't always work in the West. Instead, e-waste exported to developing countries ends up in informal recycling schemes run by individuals, and sometimes criminal gangs. In some countries this has dominated the e-waste recycling chain, with equipment burnt in open fires or processed with hazardous acids in order to recover valuable metals.
Properly organised recycling schemes have emerged in developed countries, with the EU leading the way in adopting the "producer pays principle", which requires manufacturers and sometimes importers and distributors to fund the collection and recycling of their products – and to ensure they're disposed of using environmentally sound methods.
In the European Union, this first appeared as the 2006 WEEE Directive, which included rising national e-waste recycling targets, and a further directive in 2012 that broadened what counted as e-waste and introduced tougher restrictions on illegal waste export. Each year around 9.5m tonnes of e-waste are disposed of in the EU. It is also estimated that of the 1.3m tonnes of undocumented electronic waste exported, 70% was functioning equipment – which could potentially have continued to be used.
E-waste is bad for your health
Electronic waste was at first just dumped in landfill sites. But the danger of the highly-toxic elements in e-waste escaping landfill sites – into the water table, for example – meant that tighter controls were needed. Problems related to e-waste disposal in developing countries are worse, and already cause significant environmental and health problems. The open burning of plastics, widespread general dumping, malpractices associated with improper dismantling and treatment of e-waste as observed in countries such as China, India and Nigeria can result in serious health consequences.
Places such as Guiyu in China and Agbogbloshie in Ghana have become notorious for their unregulated, heavily polluted, sweatshop-dominated, digital dumps. Metals do not degrade in the environment and so can accumulate, contaminating the soil and groundwater, bioaccumulating in the creatures living in them.
The junk just keeps piling up, and not all of it can be reused. Anindito Mukherjee/EPA
E-waste is bad for your wallet
Beyond the cost to the environment and health is the economic cost. The loss of precious, useful and often rare materials from unprocessed e-waste is very significant. Materials found in modern electrical and electronic products include metals classified as critical raw materials which are in short supply.
Ethical concerns linked with e-waste include reports of child labour in its treatment and handling, especially in some parts of Asia and Africa. Illegal shipment of e-waste from affluent countries to poorer developing countries that lack the facilities to properly treat such wastes is widespread. The evidence points to a close link between ethical malpractice in e-waste handling and environmental damage and health problems. Preventing illegal e-waste shipments could alleviate – if not necessarily eradicate – these effects.
With the world's population expected to grow to nine billion by 2050, and a corresponding leap in the amount of waste electronics that we consume and discard, we urgently need to get a grip on this problem and introduce proper laws, regulations and procedures that will ensure that electronic waste is safely dealt with.

redpajama_set_name: RedPajamaCommonCrawl


Are you between the ages of 18 and 65 with the condition of high triglycerides? We are currently looking for volunteers who have high triglycerides, and are either being treated with medication or controlled by changing life style or diet, to participate in a clinical study.
You may be compensated up to $7050 upon study completion. Please call our recruiting line at 416-759-5554 for more information. Or for more details please visit our current studies page.
To better serve our study participants we extended the hours in which you may return for post-study repeat lab tests.
You may now visit us Monday through Friday from 7am to 8pm or Saturdays and Sunday from 9am to 6pm.
PMRI is pleased to announce that a 2 hour window (1 hour early until 1 hour late) will be accepted with no penalty for most studies. This allows you more flexibility to get to class or work first thing in the morning.
Please contact Subject Selection and consult the study specific schedule for more details.
clinicalRSVP confirms subject identification and eligibility for studies through fingerprint biometric technology.
Upon your consent, we will register you with the clinicalRSVP system using your initials, date of birth, gender, and a code made from a scan of your fingerprint (your actual fingerprint will not be stored).
If you are interested in participating in a study, limited information about your current or recent study participation may be shared among the participating organizations, such as the date of the last study you participated in.
We are excited to let you know that PMRI has completely revamped our dining program. In addition to bringing on a new Executive Chef, we now offer a delicious assortment of meals prepared onsite with fresh seasonal ingredients.
We are committed to providing you the highest quality, tastiest, and most nutritious meals possible. We eliminated canned fruit and reheated pre-cooked frozen meals and replaced them with fresh cut fruit, oven baked breads, and home-style meat and fish entrees - all prepared everyday onsite.
In addition, the menus will change every 3 months to reflect the best seasonal produce and ingredients available. Our spring menu features teriyaki salmon with rice and vegetables, chicken souvlaki, fresh fruit with berries, cheese cakes, baked apple blossom and vanilla ice cream, and much more. Bon appetit!
We are very excited to announce that on June 10, 2008 we ran our first study at the new clinic facility. All studies, recruiting, and screening will now take place in this new state-of-the-art building. PMRI values all of our volunteers and this clinic was designed with your comfort and convenience in mind.
In addition to semi-private accommodations, washrooms in each clinic, and home-style meals - the new facility is beautifully designed with a central atrium and garden providing lots of natural light and a very comfortable environment.
For your recreation each clinic includes a 52 inch tvs and surround sound system, 6 computers, wireless internet, two PlayStation 3 game systems, and a separate reading room.
Thank you to all our subjects who continue to volunteer at PMRI and we look forward to seeing you in the new clinic soon!
PMRI's new corporate and volunteer website is designed to make it easier for you to keep in touch and find out about upcoming studies. In addition to the new look, we hope to make this an interactive portal for subjects to learn about upcoming studies and provide feedback on your experience at PMRI.


text:
Q: Combining the output of three functions in a class and then displaying the final output I am trying to understand how classes and functions work. I am trying to do an example of just adding two different variables together to form one and then output it.
There are 3 functions inside the class - one for generating a random number, the other for generating a random word and the last for combining the output of those both functions.
Can anyone point out what I am doing wrong?
<?php
class generateTicket
{

    public function numbers()
    {
        $randomnum = number_format(random_int(1000, 9999) / 100, 2);
    }

    public function words()
    {
        $randomword = bin2hex(openssl_random_pseudo_bytes(8));
    }

    public function combined()
    {
        $A = $this->numbers($randomnum);
        $B = $this->words($randomword);
        echo $A . "-" . $B;
    }

}

$class = new generateTicket();
$class->combined();
?>

A: You are passing unknown variables in your combined method.
$randomnum and $randomword are undefined in the below lines:
public function combined()
{
    $A = $this->numbers($randomnum);
    $B = $this->words($randomword);
    echo $A . "-" . $B;
}

You have a couple of options here:
One option is to return the variables:
public function numbers()
{
    return number_format(random_int(1000, 9999) / 100, 2);
}

public function words()
{
    return bin2hex(openssl_random_pseudo_bytes(8));
}

public function combined()
{
    $A = $this->numbers();
    $B = $this->words();
    echo $A . "-" . $B;
}

Another option would be as follows:
public function numbers()
{
    $this->randomnum = number_format(random_int(1000, 9999) / 100, 2);
}

public function words()
{
    $this->randomword = bin2hex(openssl_random_pseudo_bytes(8));
}

public function combined()
{
    $this->numbers();
    $this->words();
    echo $this->randomnum . "-" . $this->randomword;
}

redpajama_set_name: RedPajamaStackExchange


text:
Q: Quill Mention throws TypeError s.domNode.getBoundingClientRect is not a function Trying to mention users with @ character in the quill editor throws TypeError s.domNode.getBoundingClientRect is not a function in the console and the suggestions are not shown.
Steps for Reproduction
The error is a little tricky to reproduce as only a few of my company's clients occasionally experience the issue on production.
screenshot below
Pleasee see screen shot for issue here
Expected behavior:
The mention feature should show the suggestions
Actual behavior:
The following error is thrown in the console and the suggestions don't work
TypeError
s.domNode.getBoundingClientRect is not a function
Platforms:
browser: Chrome 104.0.5112.101 (Official Build) (arm64)
device: Mac
os: Mac OS X 11.4 (BigSur)

A: Here is in example of initialising the Quill.
Please make sure that you have bounds: document.body line included.
const quill = new Quill('#editor', {
    modules: {
        toolbar: [
            [{ header: [1, 2, false] }],
            ['bold', 'italic', 'underline'],
            ['image', 'code-block']
        ]
    },
    bounds: document.body,
    placeholder: 'Compose an epic...',
    theme: 'bubble' // or 'bubble'
});


text:
Phoenix Mercury: A Look Ahead
By Scotter Updated May 11, 2010, 12:02pm EDT
Share All sharing options for: Phoenix Mercury: A Look Ahead
The defending WNBA champions return seven of the nine rotation players from their playoff run last season and their fast paced style will obviously be returning as well, but the Mercury will obviously be a different team without Cappie Pondexter and to an extent Le'coe Willingham as well. How different? Probably not fundamentally different given the returning players and the well defined system of play, but noticeably different with the changes and shifting of roles.
The Mercury are still going to be an offensive juggernaut like their NBA counterpart in Phoenix, but something will be undoubtedly lost from the Mercury's transition game without Cappie Pondexter. Pondexter led the league by a wide margin in fast break points scored and also led the league in assists on the fast break. A full 20% of her points and assists came on the fast break, and no one will be able to replicate that on this year's roster. The team will also particularly miss being able to slide Pondexter to the point in half court situations where Tameka Johnson was less effective particularly in the playoffs. That move also allowed the Mercury to put their five best scorers on the floor something that may not be possible this season.
Still most of what makes the Mercury a great offensive team remains even though they no longer have two players in Pondexter and Willingham that combined to score nearly a third of the team's points last season. Diana Taurasi's individual brilliance remains, but her shift back to shooting guard will likely mean an increase in her playmaking role after being able to concentrate more narrowly on scoring these last few seasons. Passing isn't exactly a burden for Taurasi, but it is a shifting of roles. A healthy Penny Taylor is a complete and very efficient offensive player, which is what the Mercury will hopefully have on the wing for a full season this year. Tangela Smith will still be able to open up the floor with her long range shooting from the center position. Temeka Johnson needs to prove that last season wasn't a fluke, particularly her shooting, but she can keep the Mercury offense in gear. The team expects more from DeWanna Bonner in her second season mostly in her terms of minutes on offense, but also an expanded role on defense. Last season Bonner was among the most efficient offensive players by playing her role as an athletic front court finisher very well and reaping the rewards of the defensive attention draw by Taurasi and Pondexter. Of the seven key returning players those are the five that were integral to the Mercury's record setting offense last season.
What's New Then?
Added to that core will be Candice Dupree acquired though the trade of Cappie Pondexter. For almost her entire time in Chicago, Dupree seemed to be an oasis in the desert, a sophisticated and skilled offensive player on a team that was typically lacking those qualities. She continued to make the correct pass or the correct cut even though her teammates rarely executed well enough to make doing the correct thing meaningful. As a rookie she was compared to Tim Duncan in terms of her fundamental style, and that's a comparison her new coach Corey Gaines has also been using as well four years later.
How that translates to playing in Phoenix will be interesting. There is a possibility that Dupree seemingly explodes if she adapts well to the style change after spending almost her entire career playing on slow paced teams. For the first time she will be playing with players that can reward making the correct play with their execution. And she will be playing within great floor spacing for the first time, while also still being able to space the floor for her new teammates.
"I think over the years she's been getting double teamed in Chicago and people have been trying to keep the ball out of her hands," said Gaines in last week's WNBA pre-season media teleconference. "The difference with us is we'll have Penny Taylor and we'll have Diana Taurasi out on the wing. So you can double her if you want, but I think she'll see a lot of single coverage and Tangela [Smith], my five, shoots threes so it should be very interesting."
Dupree also extended her range to beyond the arc last season and acquitted herself quite well shooting 39% on 62 three point attempts. That means the Mercury will still be able to play with four and even five long range shooters on the court the majority of the time.
The unknown is to what degree Dupree can capitalize on the opportunities in Phoenix . Can she be efficient enough offensively to take full advantage of her opportunities in Phoenix? There is no doubt that Amare Stoudemire benefits from playing with Steve Nash in an uptempo system, but there are also few players that are able to so consistently finish those opportunities. Dupree has to be more efficient than she was in Chicago if she is going to effectively help to compensate for the loss of Pondxexter. And she should be for the reasons previously discussed, but does a player that seemed content to mostly play her role in mostly losing situations in Chicago have the aggressiveness to seize those opportunities and finish shots?
Pondexter led the league in fast break scoring not just because of her skills, but also her aggressiveness. The Mercury may miss some of that aggression driving the pace of the offense even with Taurasi still there there to control the show. Dupree will likely excel, but there is always that unknown when the context around a player's performance dramatically changes.
How About Some Defense?
Last season the Mercury scored 1.096 points per possession last season, way ahead of the second place Minnesota Lynx's 1.023 points scored per possession. In fact the gap between the Mercury and the Lynx was bigger than the gap between the Lynx and the WNBA's least efficient offensive team the Washington Mystics. That' gap will likely close this season. The Lynx would have narrowed the gap last season had Seimone Augustus not suffered an ACL injury, but this season with the addition of the efficient Lindsay Whalen and the eventual return of Seimone Augustus and Candice Wiggins to the lineup the Lynx should be even better offensively than they finished last season. Still the Seattle Storm, a team that finished in the middle of the pack last season, may be the team to watch out for because a healthy Lauren Jackson is basically an efficient offense by herself. The last time Jackson played close to a full season in 2007 the Storm scored 1.04 points per possession and with the offseason additions to strengthen the roster that's certainly an attainable efficiency again. If the Mercury are going to lead the league in point differential again there will likely need to be some defensive improvement from a team that finished at the bottom of the league in defensive efficiency.
And there are some places where that little bit of defensive improvement in the changes brought on by the trade of Pondexter for Dupree. Dupree rightfully does not have a reputation for defensive greatness, but they do not need to attain defensive greatness in Phoenix. They just need to improve a little. Dupree adds another shot blocker to the team that led the league in blocked shots last season, but more importantly Dupree is a solid defensive rebounder and likely the best on this season's team. Adding Dupree and sliding Taurasi to the backcourt should provide a solid boost to the Mercury's rebounding performance on defense. And with Pondexter and Willingham having departed the Mercury will simply be longer on defense with the lineup shifts created by their absence. Putting Bonner on the floor more adds another long athlete, but she'll likely have to adjust to defending on the wing more this season as the primary backup for both Dupree and Taylor. It's a lot easier to go from the bottom of the league to simply below average on defense than it is to improve the best offense in league history, and the Mercury have a chance to make that kind of defensive improvement.
What About the Other Five Players?
The Mercury will be thin behind their top six. Nicole Ohhlde will also return at center as well as Ketia Swanier at the backup point. Ohlde is needed at times as a bigger body in the post defensively. Ohlde's role is somewhat reminiscent of Bill Cartwright on the early 90s Chicago Bulls teams. She's primarily needed on the roster for certain matchups come playoff time. Like the Bulls did with Cartwright, the Mercury will run a little offense through Ohlde, despite her inefficiency, because she's a fairly skilled post. And this could be a crucial year for Swanier.
Last season Swanier found a team that need her in the Mercury after being cut by the Connecticut Sun. This season the Mercury need her even more with the departure of Pondexter. Her defense as a bigger point guard will be needed by the team, but her offense will likely determine her playing time. If she finds the shooting stroke she had as a senior at the University of Connecticut then she can play with Johnson as well as back her up at the point. There's certainly plenty of playing time available with the last three roster spots seemingly wide open with less than a week until the regular season opener.
The Mercury were guaranteed to be fun to watch, but now they are a bit more intriguing with the roster changes than if the Mercury had simply been able to return the same team as much as Mercury fans would have loved that scenario. The margin of error was already likely to shrink with several contenders in the West improving their rosters, but the thinner roster due to salary cap limitations for the Mercury shrinks it further. Still their top six players in Taurasi, Taylor, Dupree, Smith, Bonner, and Johnson are still likely the best core in the league. In a sport where the best players typically determine the outcome, that's not a bad way to go into the season.
2022 WNBA Free Agency: Las Vegas Aces begin a new era After losing to the Phoenix Mercury in Game 5 of the semifinals, the Aces needed a change. Now Becky Hammon is in charge and looking to take this team from contender to champion. What changes are needed to make that happen?


text:
Q: Kendo grid datasource I know what i am asking about is weird but, I have a grid that contains 8 rows. And one of its column has dropDownListEditor. I wanna ask, Is there any possiblity to set a unique datasource in each row for the drop down list editor.
Below is my case, e.g.
Row 1 contains
[{ "ID": 1, "Fruit": "Banana" },
{ "ID": 2, "Fruit": "Mango" },
{ "ID": 3, "Fruit": "Apple" }]

as datasource
Now i want the 2nd row to contain the following datasource for dropdown
[{ "ID": 1, "Fruit": "Guava" },
{ "ID": 2, "Fruit": "Lichi" }]

Is it possible?
Hello @Nathan i have created a grid as follows,

        <kendo-grid options="mainGridOptions"></kendo-grid>

Now written the following code in controller
angular.module("KendoDemos", ["kendo.directives"]).controller("MyCtrl", function ($scope, $compile) {
var source = [
    {CategoryID: 1, CategoryName: "Beverages"},
    {CategoryID: 2, CategoryName: "Condiments"},
    {CategoryID: 3, CategoryName: "Coffee"},
    {CategoryID: 4, CategoryName: "Bread"},
    {CategoryID: 5, CategoryName: "Green Tea"},
    {CategoryID: 6, CategoryName: "Expresso"}
];

$scope.dataSource = new kendo.data.DataSource({
    pageSize: 20,
    data: products,
    autoSync: true,
    schema: {
        model: {
            id: "ProductID",
            fields: {
                ProductID: {editable: false, nullable: true},
                ProductName: {validation: {required: true}},
                UnitPrice: {type: "number", validation: {required: true, min: 1}}
            }
        }
    }
});

$scope.ddlDataSource = new kendo.data.DataSource({type: "odata", data: source});
$scope.categoryDropDownEditor = function (container, options) {
    var editor = $('<input kendo-drop-down-list required k-data-text-field="\'CategoryName\'" k-data-value-field="\'CategoryID\'" k-data-source="ddlDataSource" data-bind="value:' + options.field + '"/>').appendTo(container);
};

$scope.mainGridOptions = {
    dataSource: $scope.dataSource,
    pageable: true,
    height: 550,
    toolbar: ["create"],
    columns: [{field: "ProductName", title: "Product Name"}, {
        field: "Category",
        title: "Category",
        width: "180px",
        editor: $scope.categoryDropDownEditor,
        template: "#=Category.CategoryName#"
    }, {field: "UnitPrice", title: "Unit Price", format: "{0:c}", width: "130px"}, {
        command: "destroy",
        title: " ",
        width: "150px"
    }],
    editable: true
};

});
Now you can see in the link [dojo.telerik.com/erImu/2], the list contains Beverages, Condiments etc in all the rows. I want it to contain in only first row, otherwise it must contain TEA only.


text:
#AmIADouche: 'I am paying my teenage son to lose weight'
Updated Oct. 8, 2019, 4 p.m. | By East Coast Radio
To pay or not to pay - that is one the minds of listeners after hearing this week's #AmIADouche.
Chubby child on scale / iStock (Dmitriy Protsenko)
Listen to KZN sharing their views on the topic, or read below:
As a parent, you are responsible for caring for your child and ensuring they are healthy and happy.
One dad is questioning his parenting choice after admitting that he is paying his son to shed the pounds. He said that his son is 'slightly obese' and is at his wit's end to help him.
According to Diabetes SA, when it comes to obese children, "Africa is ranked as having the highest rate of obesity in preschool children in the world. South Africa was also listed as one of the top countries that have obesity issues. These stats were presented in October 2016 at a World Obesity Day presentation."
READ: Too fat to eat? Should restaurants deny serving people who are obese?
Being a diabetic himself, he has valid health concerns for the wellbeing of his son. Here's the message he sent us:
"Hi Stacey. My teenage son is slightly obese. I have tried everything to encourage him to lose weight and I even joined him on his exercise and diet but nothing seems to help. I grew up overweight and it's even caused me to become diabetic. So I've offered my son an incentive. I am paying him to lose weight. R1000 for every 5kg. My wife says this is a bad idea. Am I a douche for paying my son to lose weight?"
Stacey posed the question to listeners, and they had a few choice words to share. Producer Sihle was having none of it.
What do you think? Is he a douche? Let us know by voting in the poll below:
Listen to the podcast to hear how KZN reacted.
Main image courtesy of iStock/Dmitriy Protsenko


text:
No Plans to Dump PDP, Says BoT Chairman
TVC N. Chairman of the Peoples Democratic Party (PDP) Board of Trustees (BoT), Senator Walid Jibrin, has dismissed insinuations about plans to dump the party.
He was reacting to a newspaper report that the Makarfi faction was approaching some aggrieved chieftains of the ruling All Progressive Congress (APC ) to form a new political party.
Jibrin who described the newspaper report as false and unfounded, said there were no such plans, adding that posterity will not forgive any member of the party who has an ambition to kill or dump it.
The PDP has been embroiled in a prolonged leadership crisis leading to the emergence of two factions led by former Kaduna state governor, Senator Ahmed Makarfi and former Borno state governor, Senator Modu Sherif.
Jibrin said every organ of the party was working hard to strengthen it to enable it maintain its power and play its role as an strong opposition party in the country.
"I wish to say authoritatively that there is no any plan to dump PDP as it was never discussed or any discussion taken by any organ of the party.
"If we do that, posterity will not forgive us because PDP is already a household
name dearly loved by every household in Nigeria.
"Posterity will judge anyone with the ambition to kill PDP for his ambition; it is quite contrary to the hard work of our founding fathers and mothers who worked so hard to produce the brand, PDP.
"It is wishful thinking for anybody to think that PDP will abandon its qualitative and acceptable product for any new-born baby that has to start all over again by learning to sit, crawl and walk before getting its bearing to Nigerians," he said.
Our Reforms Aimed at Securing the Future of Lagos - Ambode


text:
Kate Cornell Philosophy, Psychology, Nerdisms, Writing from the Trenches
Items of Interest: Ep. 17
Humans like patterns. We like to think that things repeat, and we love to feel clever. There are quite a few wonderful things that have come out of this idea. Writing. Science. Mathematics.
These things are supposed to help us identify the patterns of the universe and make us feel special and clever.
Then, things take a turn for the strange and bizarre.
Conspiracy Theorists
Everyone loves a good conspiracy theory. I love a good conspiracy. Don't get me wrong. I don't believe all…many (most) of them. Like:
1. The government is covering up evidence of a UFO landing.
The event that kick-started more than a half century of conspiracy theories surrounding unidentified flying objects (UFOs). Something did crash at Roswell, New Mexico, sometime before July 7, 1947 and – at first – the US authorities stated explicitly that this was a flying saucer or disk – as shown by the splash story on that day's Roswell Daily Record, pictured. Numerous witnesses reported seeing metallic debris scattered over a wide area and at least one reported seeing a blazing craft crossing the sky shortly before it crashed. In recent years, witnesses have added significant new details, including claims of a large military operation dedicated to recovering alien craft and aliens themselves, at as many as 11 crash sites, and alleged witness intimidation. In 1989, former mortician Glenn Dennis claimed that he was involved in alien autopsies which were carried out at the Roswell air force base.
2. The Apollo moon landing was a hoax.
Nasa and possibly others intentionally deceived the public into believing the landings did occur by manufacturing, destroying, or tampering with evidence, including photos, telemetry tapes, transmissions, and rock samples; and that Nasa and possibly others continue to actively participate in the conspiracy to this day. Those who think that Nasa faked some or all of the landings base their theories on photographs from the lunar surface which they claim show camera crosshairs partially behind rocks, a flag planted by Buzz Aldrin moving in a strange way, the lack of stars over the lunar landscape and shadows falling in different direction. Many commentators have published detailed rebuttals to the hoax claims, and these theories have been generally discounted but belief in them – particularly on the web – persists.
3. The Philadelphia experiment.
During an experiment at the Philadelphia Naval Shipyard in October 1943, the US Navy destroyer Eldridge was rendered invisible. According to some accounts, the scientists on the experiment found a way to bend light around an object but that the experiment went wrong and Eldridge was transported through space and time, reappearing at sea. Several sailors, it is said, were badly hurt when the experiment went wrong and some were melded into the ship's superstructure. The US Navy has denied that the experiment ever took place.
I approach these with a healthy dose of what-if. It's fun to play with these ideas, morph their conclusions, twist around their concepts to the rationality breaking-point. Aliens? Moon landing? Teleportation? Well, if it isn't the basis for a new novel.
But, by far, my favorite conspiracy theory is the "Paul is Dead" theory, not only in the scope of crazy, but in the realm of "does it matter?".
You've probably heard what I initially did. The whole Abbey Road cover, Paul is the only one crossing the street without shoes, which means that he's dead. I thought that was sort of it.
Alas, no, my friend.
I stumbled across this website.
It's well researched. But, I can't help but think maybe someone put too much thought into it. Maybe it's true. Maybe there's only one Beatle left in the world.
Not that it matters. Our lives are being manipulated by men in a room in suits while they drink from snifters and smoke cigars, and, at any moment, we will be thrown into martial law. *cue Twilight Zone music*
This entry was posted on June 8, 2011 by Kate Cornell. It was filed under Items of Interest and was tagged with beatles, conspiracy theories, george harrison, john lennon, paul is dead, paul mccartney, ringo star.
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Let me explain a little better why I am so upset about this. I'm not trying to drag this on and on, but I want you to understand why I am throwing a temper tantrum. It is not because I want a high number for my ego. I just went through my posts, to see which ones I had done that required a page rank of 3 - I accepted and completed those posts under the impression that I, in fact, had a page rank of 3. Now that my page rank has dropped, if it stays that way, I will lose around $100.00 of income. That is why I'm upset. Had I known that I would not have a 3, I would not have claimed those opportunities. But now, I have done these posts and reviews, and they will be rejected. And, yet again, my husband will have a reason to say "I told you so."
I'm honestly not trying to be childish and whine like a baby. This is the way I make a living - It makes a huge difference to me. I honestly hope and pray that this will turn out to be a fluke of some sort and I will be here looking like a fool, whining and ranting and raving for nothing. I will gladly then accept all of my wonderful friends' comments telling me "I told you so"! Thanks for your support everyone! I truly love you guys! I hope my husband likes living on hotdogs - cuz my income just took a hit. On a more fun note, my post at Misty's Words today is more upbeat and fun.
I'm sure if I understood any of this I would be upset for you. I don't even know what a page rank is or how to find out what mine could possibly be. I've seen some posts about it before but I never actually paid attention. It's kinda like HTML; a foreign language.
Surely the monetizing companies will have to use some other guideline than Google. I think I got accepted because the page rank was 4 so I guess that was lucky as I would not have been accepted at all with a page rank of 2. I guess I have to be proactive and promote my blog some more but it is hard work.
I'm almost 100% sure that you will get paid for those posts. PPP goes by what your page rank was marked on the day you accepted the opportunities. It's happened to me before and I too freaked out, and they just paid me, everything was fine. I don't know about the other companies though.
There are so many posting companies that you shouldn't have any trouble making money with a page rank 2, even at PR zero there's money out there.
The longer you hang in there with blogging the more money you can earn. My husband was very skeptical at first, but after almost a year he now respects the fact that blogging is a pretty good job. (miracles do happen). LoL.
If you ever need any help just ask me!
I don't think they will reject your posts, Misty. I started PPP when I was a 2 (which I also am now) and there were plenty of opportunities for money to be made :) I REALLY think that PPP will start using some other means to judge rank their posters because everything that I have been reading states that this lower page ranking think is A DIRECT ATTACK against paid advertisement companies. Google wants to hit them below the belt.
I have to echo what everyone else has said, I'm sure you'll be okay and they won't reject your posts. I don't know what's up with Google at all as there are blogs that have been dropped in rank for no reason whatsoever. I thought they only ranked every six months or something anyway so how could you blog go up and down in the course of a couple days? I just don't understand a lot of this stuff but I do understand why you have been upset.
Good luck and hang in there! You write great paid posts!
Hi Misty! I just saw this post of yours thru BlogRush and thought I'd read what sentiments you have regarding the Google slap. You know what, we have the same reaction to what happened. I have 2 PR4 blogs that went down to PR2 and PR1, as well as a PR5 that went down to PR2. Just imagine that! I went berserk. It's not fair! The holidays is just around the corner and I need to earn more money!
But you know what, when I calmed down and had time to digest everything that happened, I realized that I may have lost some income from the high ranking blogs that i have, but there are other blogs that I can do something about. And so far, I have earned more now than when I have 3 high ranking blogs.
Cheer up! Everything will turn out fine, believe me. And with regards to PPP, they paid all the opps I took when my blog is still a PR4. Don't worry about it.
Hey, Misty! I have no idea how this whole system works. What can we do to improve your page ranking in the future? More comments? Clicking on your advertisers? More hits? Let us know.
I did google page rank and I have a page rank of 3. Now if I only understood it.
I am sorry to hear that you are having a bad day. I wish I could give you some advice.
I do believe that you have a valid complaint, but perhaps you should try another way to make money from your blog that relies less on a PR. I do very well with Commission Junction through my blog and I do not have a PR at all, but I still manage to make money. This is just an option for you to consider my friend.
I simply refuse to allow my lack of a PR affect my income.
A lot of people already said it, but I'm going to say it, too. You will still get paid for your PPP posts. The segmentation means that you could not have accepted and submitted an opp that you did not qualify for at the time. Therefore, you will be paid.
My blog was a 3 for a while, but then my Google toolbar started showing N/A. PPP still had my blog as a 3, so I had all those opps available. Sometimes I didn't take them because I felt I didn't 'deserve' them. Yeah, I should've taken all I could! Because now my blog is a 1.
Even having a PR1 opens up a lot more opps than having no PR at all. I have never seen an opp that required a page rank of 2 - it's either 1 or 3 - or the higher ones.
OK, I rambled long enough!!
I'm totally with you...but I think we'll still get paid for the ones we did when we were 3s. I just had one rejected for another reason, and I resubmitted it and it went through...it's really upsetting to me too! My husband has been joking about it too...they don't get it. If I lose all those posts b/c they were 3s I will cry!!! I'm wondering when this new PPP IZEA thing is going to start. Do you know?


text:
Nov. 10, 2019 / 11:31 PM
Human rights groups condemn deportation of North Koreans
Thomas Maresca
A North Korean boat fishes off the banks of the North Korean city of Sinuiju. South Korea deported two North Korean fishermen accused of murder on Thursday, a move that has drawn criticism. File Photo by Stephen Shaver/UPI | License Photo
SEOUL, Nov. 10 (UPI) -- Human rights groups condemned the South Korean government on Monday over its deportation last week of two North Korean fishermen accused of killing 16 fellow crew members on a boat, saying the move was a "grave violation" of international law and a "shameful decision" that was made in haste.
The two fugitives were sent back to North Korea across the border truce village of Panmunjom on Thursday after being captured by the South Korean navy near the maritime border on Nov. 2.
A joint statement by 20 human rights and civil society organizations that focus on North Korea said the move violates Article 3 of the United Nations Convention against Torture, which forbids governments from returning people to a country that practices torture.
The groups also criticized the opaque process behind the deportations, which were only announced by South Korea's Ministry of Unification after they had occurred.
RELATED North Korea fishermen's boat returned after deportations
The government "rushed to a decision with a three-day inquiry, which cannot be long and exhaustive enough to justify an irreversible decision about human lives," the statement read. "Instead of showing clear-cut, hard evidence to prove the murders it alleges, the South Korean government explained that the allegations have been substantiated by an abundance of 'testimonies,' 'circumstantial evidence' and 'information,' which details cannot fully be disclosed."
The deported should have been provided with a lawyer and been allowed "to defend themselves in court in accordance with the principles of due process," the statement added.
The investigation by South Korean authorities concluded that the fugitives had killed the captain of their squid-fishing vessel out of anger at his abusive treatment and then murdered 15 other crew members in an attempt to cover up the crime before fleeing out to sea.
RELATED South Korea deports 2 North Koreans who killed 16 at sea
Ministry of Unification spokesman Lee Sang-min said Thursday the North Koreans had applied for asylum but that they were not eligible for protection "as they are offenders of nonpolitical and serious crimes including murder."
Lee added that they could be seen as a threat to South Korean citizens if admitted into the country and that they were not eligible to be recognized as refugees under international law because "they have committed a heinous crime."
Thursday's move was the first time that South Korea has officially deported North Koreans.
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The human rights groups behind the statement, which include the Transitional Justice Working Group and the Citizens' Alliance for North Korean Human Rights, claimed that involuntary deportation is "not legally justifiable" since there is no extradition agreement between the two Koreas and no agreed-upon legal process for handling such matters.
The statement called upon North Korea to disclose the current status and future plans for the deported men and urged South Korea's parliament, the National Assembly, to conduct an inquiry into the repatriation process.
"[T]he government authorities who directed or were involved in the illegal deportation of the two fishermen should not be exempt from accountability for North Korean human rights," the statement said. "Moreover, the South Korean government must bear the responsibility of monitoring how North Korea treats these two fishermen."
Lee Sang
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text:
Q: Could someone help me to understand the Metropolis-Hastings algorithm for discrete Markov Chains? Metropolis-Hastings Algorithm
Assume the Markov chain is in some state $X_{n} = i$. Let $\textbf{H}$ be the transition matrix for any irreducible Markov chain on the state space. We generate $X_{n+1}$ via the following algorithm:
(a) Choose a proposal state $j$ according to the probability distribution in the $i$-th row of $\textbf{H}$.
(b) Compute the acceptance probability $\alpha_{ij} = \min\left\{1,\displaystyle\frac{\pi_{j}H_{ji}}{\pi_{i}H_{ij}}\right\}$
(c) Generate a uniform random number $U\sim\text{Uniform}(0,1)$. If $U<\alpha_{ij}$, accept the move and set $X_{n+1} = j$. Otherwise, reject the move and keep $X_{n+1} = X_{n}$.
MY DOUBTS
I know that Markov chains that are aperiodic and irreducible admit a stationary distribution. I also know that any distribution $\pi$ satisfying the reversibility condition is an equilibrium distribution.
As far as I have understood, the Metropolis-Hastings algorithm proposes a Markov chain whose stationary distribution is $\pi$ (the target distribution we are interested in sampling) and then simulate the Markov chain.
However, I am a little bit lost as to the interpretation of the algorithm itself. Could someone interpret it step by step to me?
I know such question is quite naive, but I am not able to understand it properly. Any help is appreciated.

A:
"...the Metropolis-Hastings algorithm proposes a Markov chain whose
  stationary distribution is  (the target distribution we are
  interested in sampling) and then simulate the Markov chain."

This is not correct: $\mathbf H$ is a stochastic matrix associated with a Markov chain which stationary distribution is not $\pi$. The (different) stationary distribution associated with $\mathbf H$ does not matter, since the proposed state $j$ is potentially rejected with the Metropolis-Hastings acceptance probability $\alpha_{ij}$. The total transition matrix is thus made of the elements
$$\beta_{ij} = \alpha_{ij} H_{ij} + \sum_{\ell=1}^k(1-\alpha_{i\ell}) H_{i\ell} \mathbb{I}_{i=j}$$