text:
A Guide to Prayer and Meditation
©Kent Hoffman-2015
The following readings are here to support a daily practice for the next thirty-one days. They are hints for entering the Presence that is more than our own.
Presence Beyond All Names,
I need more deeply than I can know.
I ask to be given what I most need. Please be with any thought or memory
that tries to convince me I'm all alone.
Please heal what I have no power to heal.
Please fill me with your Tenderness.
Each day, as I begin this time of Silence, I remind myself that, for now, there is no thought, no insight, and no experience that is more important than my simple willingness to rest within original holding. Each day, as I breathe tenderly, I trust that what most needs to happen is being offered at a level outside of my current awareness. My deepest need is held as I enter each breath with reverence. This need is spoken with each breath and, should I so choose, with each silent repetition of a chosen word. [Please consider: Home or Abba or Amma or Tender with a single syllable on each slow in-breath and a single syllable or no syllable on each gentle out-breath. You may also want to consider placing your hands in a similar position to the hands of the child in the image above.]
My full asking is alive in each new breath. For these next minutes, I can quit being in charge of my life.
Whatever blessing I receive I share with all beings, everywhere.
This tender breath. Only this. Amen.
First Day
There is life without love. It is not worth a bent penny, or a scuffed shoe. It is not worth the body of a dead dog nine days unburied. —Mary Oliver
We speak of love all the time. In our homes, our communities, our places of worship. Yet who among us truly trusts in being fully lovable and fully loved? The word becomes weightless. Even so, love is our first need, what we most long for, a hope that – when we are fully honest - we may be afraid to hope.
Prayer is a willingness to risk returning to our original need. We might ask, "How can breathing-as-prayer possibly make a difference?" or "How can ten or twenty minutes a day change things?" or "Isn't this just another attempt to make me believe in something that isn't really there? Nothing seems to be happening. What if that's all that ever happens?"
Such resistance is not only understandable, it's pretty much required. Our resistance and doubt come from the honest place in us, the true place in us—which is indeed the only place we can experience being held.
This need. This tender word resting in this soothing breath. Amen.
Second Day
[From our earliest moments on planet earth] there's one question that all brains want answered, and they want it answered, "Yes." And they don't want a lukewarm "Yes," or a "Maybe Yes," or a "Getting-to-Yes, Yes." They want a substantial, resounding, unequivocal, "YES! Yes." When the answer is something other than "Yes," if the answer is "Maybe," or "I'm not sure," a confusion and uncertainty begins to take shape in our brains. The question our brains ask is: Are you there for me? Do I matter enough that you'll put me first when I need you to? Can I count on you to attend to me in the ways I need you to? Do I truly and deeply matter to you?
—Mark Brady, Ph.D.
We are hardwired for "Yes." We are hardwired to matter and matter absolutely. Not sort of. Not somewhat. But fully. Unless and until this happens we keep searching, trying, strategizing, thinking it's up to us to get it right. Our need to hear an unconditional "Yes" isn't selfish, it's our birthright. It is also at the heart of prayer. Until we come home to being-with-as-Yes, we keep seeking or demanding or despairing that it will ever happen, at great cost to ourselves and those who surround us.
Prayer is being-with-as-Yes in this very breath. Coming home. Already home.
Third Day
It's what we all want, in the end,
to be held, merely to be held,
to be kissed (not necessarily with the lips,
for every touching is a kind of kiss).
Yes, it's what we all want, in the end,
not to be worshiped, not to be admired,
not to be famous, not to be feared
. . . but simply to be held.
—Alden Nowlan
For many of us, "Maybe Yes" or "Somewhat Yes" is the best we got growing up. Good parents, doing their best, but too busy or too lost or too caught in their own search for the Yes they never fully received. Of course, by now it's too late to have a happy childhood. But it isn't too late to experience what we may have missed experiencing then. We can find holding now. Every spiritual tradition has its own way of revealing the same underlying reality: that Love/Deep Peace/Original Dwelling is always present, regardless of external conditions of happiness or suffering.
Each tender breath is soothing received. Each restful breath releases the demand for something extra. This simple breath is the arrival. This gentle breath brings me home.
Fourth Day
The essential dynamic for establishing security in infants can be described in three words:
Jesus was exceptionally clear. In a religious culture where it wasn't acceptable to even speak the name of God, Jesus boldly described the ultimate nature of God as Abba - a term signifying the most tender and attentive of parents. Within current developmental research, the common denominator within all secure children is their trust in the loving intention and responsiveness of their caregiver. Two thousand years ago, Jesus was making clear that this formula for security is at the heart of prayer: Need. Ask. Holding. (The image of the child's hands resting in larger hands on the cover page depicts this exact trust. While meditating it can be useful to share this child's hand posture.)
To breathe with intention is to ask. Whether it's thirty minutes, three breaths, or the pause in the middle of the day during a single breath—a simple meditation-as-prayer practice is a willingness to open to hidden soothing.
This need. This tender word resting in this soothing breath. Amen.
Fifth Day
After the first few steps in the Christian life we realize that everything which really needs to happen in our souls can be done only by God. —C.S. Lewis
I mislead myself everyday: "The outcome of my life is up to me." I never say this consciously, but this core belief, learned very young, repeats itself throughout almost everything I do. Need. Don't ask. Figure out the best game plan possible. When all is said and done, I'm on my own.
Good News: the change I most need isn't up to me. No matter how hard I try, I don't have a freaking clue what I most need.
O God, I need more deeply than I can know. I ask to be given what I most need.
OK, it's also up to me, but not in the way I typically think. My task is to commit to a brief time each day and to be present, open, receptive. This moment is neither self-determined nor predetermined. Prayer is another dimension altogether. My work is not to work. My work is to set these few minutes aside, to risk trusting and to rest into what – at times – I'm almost certain can't be here.
Please heal what I don't have the power to heal.
Sixth Day
Alas, I do not know either the mystical word or the mystical diagram, nor do I know the songs of praise to thee, nor how to welcome thee, nor how to meditate on thee . . . nor how to inform thee of my distress. But this much I know, O Mother, that to take refuge in thee is to destroy all my miseries. Om Tare Tutare Ture Soha.
—Tibetan Buddhist Prayer
With our computer, access to a domain name makes all the difference: type it, press enter and another dimension opens.
Mantra practice is the choice to take all of your needs and all of your asking and all of your (limited but growing) trust in hidden holding and letting this entire process reside within one sacred word. Mantra practice is the choice to risk not knowing what is happening at the deepest place within you and trust the nature of Love to accomplish what most needs to happen.
A different metaphor: You are watering a young tree on a hot summer day. You're not happy. In fact, you're deeply upset. Your mind keeps repeating angry or fearful thoughts about whatever it is that's bothering you. Even so, you continue watering the tree. Regardless of what you're currently thinking and feeling, the roots receive the water, deepening into the soil that holds them. Regardless of what you are currently thinking, you water this tree everyday.
Seventh Day
Does not everything depend upon our interpretation of the silence that surrounds us?
―Lawrence Durrell
Needing and asking with no discernable response in the present moment . . . . who would keep doing that on a daily basis? "It's just opening up, time and again, with nothing happening. Why keep trying?" To continually trust in the unseen seems at least irrational and probably foolish.
What most of us don't know is that our view of the Sacred was formed in our original experience of relationship. If we experienced being-with on a consistent basis, we likely experience God as genuinely available and responsive. But, to the degree that we had experiences of "Yes, sort of" or "Yes, but I'm busy" then somewhere, hidden beneath conscious recall, we're struggling with memories of emptiness: nothing happening when we really needed soothing and presence to happen. This is the birthplace of All Alone, the certainty that we are actually on our own. "I need and no one actually responds." This non-response then colors our view of God: "I ask and get nothing."
It may well have been true, then. I doesn't have to be true, now.
No need to argue with our negativity. Of course it's there. How could it not be? Just find that hidden self that speaks with cynical certainty. Help that self to breath as you breath.
Eighth Day
Hell is a state of mind . . . And every state of mind, left to itself, every shutting up of the creature within the dungeon of its own mind is, in the end, Hell.
But Heaven is not a state of mind. Heaven is reality itself.
―C.S. Lewis
Our negative certainty, inevitably cynical, wants us to no longer hope. We do no one any favors by continuing to believe that message in our head that promises absence. It always speaks of inevitable difficulty, pain, trouble, and ruin. Empty words formed in emptiness reconfirming emptiness.
Hell is believing our negative state of mind. Heaven is breathing deeper than our fear. Heaven is allowing ourselves to access "reality itself" – nothing special, merely the nature of Love that has always been and will always be . . . available in this next breath.
Ninth Day
A man crawls for years
on his stomach
with his eyes closed.
Then one moment he opens his eyes,
and he's in a garden.
It's Spring.
I am loved in this moment.
But I don't feel anything. I'm still in the dark.
Feeling isn't the issue. (Feelings change within conditions. Love is larger than conditions.)
But nothing changes. I don't feel any holding. I'm still in the dark.
The garden isn't going anywhere. Yes. It will always be here. (Funny thing, it is grounding you even as we speak.)
Tenth Day
My belief is that when you're telling the truth, you're close to God. If you say to God, "I am exhausted and depressed beyond words, and I don't like You at all right now, and I recoil from most people who believe in You," that might be the most honest thing you've ever said. If you told me you had said to God, "It is all hopeless, and I don't have a clue if You exist, but I could use a hand," it would almost bring tears to my eyes, tears of pride in you, for the courage it takes to get real-really real. It would make me want to sit next to you at the dinner table.— Anne Lamott
Prayer isn't as much about articulating need as it is about allowing need to be exactly as it is. Real-really real. Prayer becomes need allowed, need we can quit pretending isn't here. Prayer is allowing need a chance to acknowledged, no longer hidden. It's also allowing need to quit swimming in our negative certainty that we're totally alone and risk letting the truth be offered and shared: without labels, without conclusions, without requiring an outcome or an answer.
Prayer is admitting need, then asking.
We don't need answers. We need holding.
Eleventh Day
God is foolishly in love with me. He seems to have forgotten heaven and earth and deity. His entire business is with me alone, to give me everything to comfort me. He gives it to me suddenly, he gives it to me wholly, he gives it to me perfectly, he gives it to me all the time, he gives it to all creatures. —Meister Eckhart
"A bit too good to be true" we say. Or just maybe, it's too true to fit our limited understanding of "good." Our hardwiring for a full Yes may not be the tragedy it appears, living as we do on a planet with so much limitation in our capacity to offer each other love. Maybe we were hardwired to find Love for a good reason. Maybe we need to recognize the need to ask for the presence we most require from its Source. Maybe our life can be different if we commit to a daily practice of asking for what we most need from the One who is always offering.
Forty years into the process, I'd say this is what makes the difference.
Twelfth Day
"When we honestly ask ourselves who in our lives means the most to us, we often find that it is those who, instead of giving much advice, solutions, or cures, have chosen rather to share our pain and touch our wounds with a gentle and tender hand. The friend who can be silent with us in a moment of despair or confusion, who can stay with us in an hour of grief and bereavement, who can tolerate not knowing, not curing, not healing, and face with us the reality of our powerlessness, that is a friend who cares." —Henri Nouwen
The chatter of everyday minds. We talk and plan, lost in the trivia of texting and waiting for that next call. Thinking, worrying, trying to control every outcome, often sure it won't go the way we want: "What if things don't work out?"
Deeper still, unknowable to the surface of things, breathing rests into Love unseen. Such Love is invisible to the eye that requires proof. Faith is a willingness risk intimacy that trusts in Presence – personal and attentive – deeper than conscious awareness.
O God, I need more deeply than I can know. I ask to be given what I most need.
Thirteenth Day
Prayer takes place at the deepest level of our person and escapes our direct cognition; therefore we can make no judgment about it.
—Ruth Burrows
If we take a pill, we don't micromanage whether it's working. We take it and go on about our lives, trusting it's at work outside of our awareness.
For years, when I would meditate I'd keep checking: "Am I peaceful?" "Am I calm?" "Am I getting somewhere with this?" Even though I could watch this need to be calm, my thoughts of getting somewhere, my self-protective vigilance remained the same. I just got vigilant about noticing my vigilance. The underlying tension I had always carried continued, lurking in my attempts to cease attempting.
It was still up to me.
Then a shift: breathing-as-tenderness opened into trust. I lessened my vigilance about being conscious. Consciousness became simply noticing this vigilant mind with a kind of tender care, then returning to a growing confidence that what most needs to happen is already happening, a downloading outside anything I can currently comprehend.
Silence has it's own vocabulary, a language I'm still only beginning to speak.
I breathe tenderly into this Silence that is always with me.
Fourteenth Day
"Keep only "Don't Know Mind." —Zen Saying
I need love in ways I wouldn't know to ask for. My life needs organization in ways I wouldn't have a clue how to provide. My plans don't have access to the wisdom of the Big Picture.
Fortunately it's not up to me. Fortunately there is deep Coherence in the nature of things.
I return, again and again to breathing Presence.
This tender breath. Amen.
Fifteenth Day
Faith is finding security in insecurity, the realization that unless we work hard to maintain a hole in the heavens by which the closed universe of anxiety is breached, the fate of everything in our created world will be determined by . . . fear."
— Maggie Ross
Fear can't undo fear. Our fingerprints of anxiety contaminate the events of each and every day.
I don't pray to be holy. I pray because I'm freaking crazy. If I don't find a dimension beyond my well-established disquiet, I'm in huge trouble. I couldn't possibly traverse the difficulties in this life without access to "a hole in the heavens."
When I light a candle each morning, often in the dark, I'm not fighting the darkness. The light, with utter and total ease, transforms darkness without an ounce of effort. So it is with this next tender breath.
At the heart of faith: "Fear not" and "I will be with you always."
Sixteenth Day
How did the rose
ever open
its heart and give to the world
all its beauty?
It felt the encouragement
of light against its being.
Otherwise we all remain too frightened.
How will this day be different for me as I bring tenderness to my breath?
The encouragement of light allows me to see.
Seventeenth Day
I use centering as a verb to mean a continual process of uniting opposites. Centering, for me, is the discipline of saying yes to what is most holy as well as what is unbearable. The severity of that, as a discipline, is not widely understood.
—M.C. Richards
Prayer has saved me from terror. Prayer has returned me to terror.
As I've slowly built a capacity to trust hidden holding, I've found myself revisiting memories and feelings that are dreadful. Spiritual practice doesn't seem to offer an exemption from pain, but it does seem to transform suffering.
So much in my life that I wish had never happened actually happened. Its anguish is still repeating within me. What's different is that I no longer deal with this distress alone. I allow a soothing Presence that I never knew to be with me as I struggle and flail.
In a world of not enough, enough.
Eighteenth Day
O Friend,
There is a treasure in your heart,
It is heavy with child.
Like trusted midwives,
all the Awakened Ones are saying
Welcome this pain,
It opens the
Dark Passage of Grace.
Whether I like this moment or wish it were completely different, I breathe trust as I walk this dark passage of Grace.
Way will open. Way is opening.
Nineteenth Day
Another morning and I wake with thirst for the goodness I do not have. I walk out to the pond and all the way God has given us such beautiful lessons. Oh Lord, I was never a quick scholar but sulked and hunched over my books past the hour and the bell; grant me, in your mercy, a little more time. Love for the earth and love for you are having such a long conversation in my heart. Who knows what will finally happen or where I will be sent, yet already I have given a great many things away, expecting to be told to pack nothing, except the prayers which, with this thirst, I am slowly learning.
—Mary Oliver
How might I allow my thirst to guide me to ask in a new way, at a level I've been afraid to consider?
How can I call out to the One who patiently walks with me as I learn this new vocabulary of tenderness?
Twentieth Day
Rest in natural great peace
This exhausted mind
Beaten helpless by karma
and neurotic thought,
Like the relentless fury
of the pounding waves
In the infinite ocean
of samsara.
—Nyoshul Khempo
Part of my appreciation for Buddhism is that it offers a clear sense of our Original Nature, our original dwelling place. "Natural great peace" is a wondrous way to frame what we come home to when we cease traveling the world within anxiety. Deeper than all neurosis, below this seemingly endless experience of suffering, is Original Peace. It has always been here. It is here now. For all beings.
Twenty-First Day
The first step in spiritual practice is to know ourselves to be lovable and allow ourselves to be loved." —John Main
We're always taking this first step. I don't think I've ever met a person who isn't still in need of resting more deeply within the trust that she or he is fully lovable, fully loved, and fully held. To the degree that we are unable to rest in this soothing truth we struggle, creating difficulty and pain . . . for ourselves and those around us. To the degree that we have this confidence, we find ourselves grounded and rooted within Deep Peace.
Twenty-Second Day
Every need brings what's needed.
Pain bears its cure like a child.
The tender-throated infant cries
and the milk drops
from the mother's breast.
Be thirsty for the ultimate water,
and then be ready for what will
come pouring from the spring.
To understand the nature of water we must understand thirst.
Twenty-Third Day
I feel closer to what language can't reach . . . enter the breathing that is more than your own.
—Rainer Maria Rilke
Trust is rooted within Original Tenderness.
Tenderness is experienced in a part of the brain
that doesn't have language.
Let us give words to our mistrust.
Let us move beyond words to soothing.
No matter the circumstance, let us allow this tender breath to be enough.
Twenty-Fourth Day
" . . . it happens secretly in darkness, hidden from the faculties . . . so hidden that the soul cannot speak of it."
—St. John of the Cross
In this moment, in this breath, I don't know what takes place within me.
I don't have to know. I need. I ask.
I trust the watering of roots that move in the dark soil blind, but not blindly.
Twenty-Fifth Day
"[I realized that my life] . . . was in the hands of One who loved me far better than I could ever love myself: and my heart was filled with peace. It was a peace that did not depend upon external conditions. It was a peace that the world could not give." —Thomas Merton
I often resist trusting in unconditional love.
With this breath I have a choice: keep feeding my well-learned negative certainty or slowly, restfully receive what I most need.
Twenty-Sixth Day
The essence of Jesus' teaching is simply that the love we all long for in our innermost hearts is already present, beyond longing. [This love] isn't an illusion. It is real. It is more intimate than anything we can see or touch, "unreachable," as the Upanishads say, "yet nearer than breath, than heartbeat." The more deeply we receive it, the more real it becomes. —Stephen Mitchell
To pray is to ask, to give our consent to finally receiving the love we most need. At long last we give our permission for the underlying coherence of the universe to hold us and to slowly transform that which continues to feel lost, alone, afraid.
Our receptivity reorganizes our "reality."
Twenty-Seventh Day
We surrender to the attraction of interior silence, tranquility, and peace. We do not try to feel anything, reflect about anything. Without effort, without trying, we sink into Presence, letting everything else go. Let love alone speak: the simple desire to be one with the Presence, to forget self, and to rest in Ultimate Mystery. This Presence is immense, yet so humble; awe-inspiring, yet so gentle, limitless, yet so intimate, tender and personal. I know that I am known . . .We wait patiently; in silence, openness, and quiet attentiveness; motionless within and without. We surrender to the attraction to be still, to be loved, just to be. —Thomas Keating
I now realize that prayer and meditation are utterly useless in the sense of being efficient. So is hanging out with a baby. Or talking with a friend. Nothing really gets accomplished. And yet as many come to realize at the end of their lives—this loving, this being loved, this simple being-with is all that really matters.
Twenty-Eighth Day
We are indoctrinated so much into means and ends that we don't realize that there is a different dimension in the life of prayer. In technology you have this horizontal progress, where you must start at one point and move to another and then another. But that is not the way to build a life of prayer. In prayer we discover what we already have. You start where you are, and you realize that you are already there. We already have everything, but we don't know it and we don't experience it. Everything has been given to us in Christ. All we need is to experience what we already possess. The trouble is, we aren't taking time to do so. If we really want prayer, we'll have to give it time. We must slow down to a human tempo and we'll begin to have time to listen. And as soon as we listen to what's going on, things begin to take shape by themselves. But for this we have to experience time in a new way. —Thomas Merton
Daily practice is a return to an ever-present, internal monastery. Whether it's thirty minutes, three breaths, or the pause after a single breath—a simple prayer practice is a willingness to open to hidden Presence. Even if a part of my brain tells me that accessing the Unseen isn't an option, I choose throughout the day to return to the hidden Yes at the heart of things.
Twenty-Ninth Day
Our pilgrimage of silence teaches us that we are here already, with our [Loving Parent] who has called us to be here, who created us to be here, who loves us to be here . . . in our hearts, in silence, beyond ideas. —John Main
Light lingers at the edge of things
blinded by the light we know.
Thirtieth Day
The grace of God means something like: Here is your life. You might never have been, but you are because the party wouldn't have been complete without you. Here is the world. Beautiful and terrible things will happen. Don't be afraid. I am with you. Nothing can ever separate us. It's for you I created the universe. I love you. —Frederick Buechner
We might never have been. But we are. And this strange, unrepeatable Mystery we share wouldn't have been complete without us.
Every person I will ever meet has a true nature and that nature is infinitely precious. Underneath everything we do or don't do, we each have infinite worth.
Infinite worth seeks the infinite tenderness it was born to know. None of us can rest until it is finally known.
Thirty-First Day
In the Beginning
Fear and his horses
ride over the hill,
but we do not need
to open our doors. Come
to this fire
that offers a simple heat.
Let all the selves
you never wanted to be
be here. Let them sit
near this fire that gives warmth
to whatever comes near.
Maybe tomorrow you will smell
the smoke that soaked
into creases of skin,
the smell of our beginning
beginning again.
—Kai Hoffman-Krull
This need. Resting in this tender breath. Amen.


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The Indian team enjoyed support from none other than Pakistan's famous cricket fan- Mohammad Bashir who was seen sporting an Indian jersey, in the finals of the recently concluded Asia Cup against Bangladesh on 28th September at Dubai. However, what makes it interesting is the fact that Bashir was gifted the jersey by none other than former Indian skipper M.S Dhoni.
The 62-year-old man who is fondly referred to as Bashir Chacha and Chicago Chacha recently revealed this incident during an interview.
"I heard a knock on my door at 12'o clock on the night of the final and went over to open the door. The person standing before me was Mahendra Singh Dhoni himself. Our rooms were on the same floor. He gifted me a brand new T-shirt, asking me to wear it during the final."
Not only this, the wicketkeeper had also signed the jersey with a message: "To chacha, Dhoni".
When MS Dhoni gifted his jersey to the hardcore Pakistan cricket fan, Chicago Chacha Before #AsiaCup2018 Final
So Proud to be your Fan @msdhoni pic.twitter.com/sljmogonzd
— Ram (@Fan_Mahi_Da) October 7, 2018
Bashir Chacha also played a key role in Indian superfan Sudhir Gautam's comfortable stay in Dubai and Abu Dhabi during the Asia Cup by contributing towards his expenditure incurred on accommodation and food.
"It's pure love. You know money will come and go with Allah's grace. I told Sudhir you just come here and I will take care of everything. I am not a rich person but my heart is as big as an ocean. If I help you, Allah will be happy," he said.
The Indian team is currently involved in a cricketing series against West Indies at home with the second test set to be battled out at Hyderabad from 12th October.

subset: commoncrawl


text:
Q: I just read a column of yours on do-it-yourself installation of hardwood flooring and have a question.
I noticed there was nothing in the article about making sure the subfloor was level beforehand, just that the homeowners chose a nail-down stick floor and they stapled a layer of building felt to the subfloor.
So is it just floating floors that need to have an absolutely level subfloor? Or does the building felt "absorb" any difference in level, so to speak?
A: The subfloor doesn't have to be dead level, but it must be flat. That means no bumps, ridges, nooks or crannies. These imperfections must be sanded flat or filled. This holds true whether the flooring material is solid wood or laminate.
Wes Clark and his wife Hui Ping live in a 20-year-old house in a hilly area of Castro Valley, Calif. Bill helped with the installation. Although they didn't put a level on the floor, we're certain there had been some settling over the years, resulting in a slight slope one way or another.


text:
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text:
Temple DE/OLB prospect Jacob Martin, brother of Jets' LB Josh Martin, is reportedly visiting the Falcons this year.
Jacob Martin had a great senior year at Temple getting 44 tackles, 11.5 TFL, and 8 sacks. Martin isn't currently projected to get drafted so the Falcons could take Martin late or pick him up as a UDFA.
What would you guys think if we took Martin? Let us know in the comments or on Twitter @BirdsInTheBenz!
If you or anyone you know is interested in becoming a writer for ATLSportsHQ please DM Phil Veasley (@_ATLPhil) on Twitter or IG. Or send a sample article to firstname.lastname@example.com.


text:
Sunday, 4 August 2013
Killyleagh Sights
The tiny island - now virtually a peninsula - is looking well. A large tree has fallen across the path in the wood.
I enjoyed a packed lunch, consisting of corned-beef sandwiches with salad-cream and onion chutney.
At Killyleagh, I ambled up to the parish church (St John the Evangelist), where I strolled round the old graveyard.
A few of the graves date from the late 16th century. There are a few Sloans, though I couldn't see any Sloanes or ancestors of Sir Hans Sloane Bt, the village's most celebrated son.
The Heron mausoleum is the finest in the graveyard.
Near the harbour is a statue in memory of Sir Hans, unveiled in 2002 by Prince Andrew, Baron Killyleagh.
Posted by Timothy Belmont at 14:29
Labels: Motoring
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What is the best product to use for dry hair?
By theladyozz
Add your voice! Click below to answer. ThriftyFun is powered by your wisdom!
At 63 I color my hair and it was like straw no matter what I did. Saw this tip on a beauty forum. Don't use products with alcohol. Now using Garnier Fructis shampoo, condition & hair spray. Also Kenra hairspray.
Read the labels, it worked for me. Look for moisturizing products. I also use a bit of shine (silicone) product.
A great treatment for dry hair is olive oil. Although I am no longer a hairdresser this is what we recommended. Warm a small amount of olive oil in a small bowl in the microwave. Use on dry hair only! If you put it on wet hair you will have a big mess. The old adage that water & oil don't mix really applies here. Apply to entire head massaging into scalp. Wrap head with a plastic bag or even saran wrap will work. It also helps to warm a towel & wrap it around the plastic. Leave on for at least 15 minutes. Shampoo & rinse thoroughly.
I had very dry hair for most of my adult life and have tried everything from olive oil to expensive conditioners and nothing helped for the long run. The olive oil helped for a little while until it built up in my hair, then I had a whole different problem.
Anyway, I found this product at Sallys Beauty Supply called One'N Only Argan Oil. It's an oil derived from Moroccan Argan trees. I have been using this for over a year now and I love it! No oily residue. My hair is silky and shiney, frizz free even in humidity. I just use a very little bit in the palm of my hands and rub it through my hair, especially the ends, after my shower.
You can then blow or air dry from there. I can't say enough good things about this product. I run a pretty successful Avon business and I can be honest and say that Avon has a lot of really awesome products for hair, but nothing even comes close to Argan Oil. I really hope this helps.
My favorite for dry hair. Shampoo and conditioner. LOL.
It depends on what is drying your hair out. Use only warm water to wash, gentle baby shampoo and no "conditioner", then only air dry. If you use hot rollers or curling iron, it's way too hot for your hair. Is each strand of hair thin? One thing I take that helps a lot is Biotin supplement, and also a Dollar General Multivitamin for Hair/Skin/Nails which works great. If you are ever in the sun, wear a hat, and avoid the 11:00PM to 3:00PM window when the sun is the hottest, regardless.
If you wash your hair when you shower, do not use hot water EVER on your hair. If you tint it, change to more gentle coloring agent. and do not over-process with a permanent wave...ever. I believe you will like the way your hair turns out after using the Biotin, Multis, and I often use zinc because my hair was thinning on top, genetically.
If you sleep beneath an a/c vent, move your bed of close the vent, if possible. Dry air regions will wreck havoc with hair, lungs, and all mucous membranes, in my opinion. If you use hairspray, search the beauty supply for one without alcohol, a drying chemical that harms all hair.
Now I have a full head of hair, after about 6 months of daily supplements, but it's worth the small price to pay, especially when the doctors said nothing could be done. Yes it can! Good luck and God bless/ help you. : )
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On Aug. 10, Bill LeDuke, an electrician with International Forest Products Ltd.s Squamish Lumber Division, was walking by the mill managers office when he got the news a 19.3 per cent export tariff had been slapped on Canadian softwood lumber bound for the United States.
"Thats 5 per cent more than our worst fears!" the distressed mill manager said coming out of his office.
LeDuke, who has lived with his family in Squamish and worked at the mill for 12 years, remembers his immediate reaction: "Im going to have to get a job next week."
The sawmill limped along, finishing off orders. Then, on Oct. 1, management shut the plant down a few minutes early and called everyone together. Employees were told that at the end of the week the plant would be closed for two weeks minimum.
On Wednesday, Oct. 31, the United States Department of Commerce imposed punitive anti-dumping duties on top of the 19.3 per cent duty, bringing the total some B.C. sawmills will pay on softwood lumber exports to almost 40 per cent.
People who work in the forest industry in Squamish have been hit by hard times before but nothing may compare to the current crisis in the B.C. sawmilling sector.
"Its unprecedented!" Ron Sander, manager of Squamish Mills, said sharply.
Interfors Squamish Mills Division, which produces western red cedar and Douglas fir products, will have to pay duties totalling 32 per cent.
Canadian softwood lumber products are favoured across the U.S. for construction and home building purposes because of the quality of the wood. But American producers believe the Canadian softwood lumber industry is subsidized and imposed the 19.3 per cent duty as a penalty for that subsidization. They feel the structural component of Canadian softwood is subsidized largely because in B.C. the lands are owned by the Crown and that theres some benefit derived from owning that land.
"Its a little disappointing to us, to say it politely," remarks Sander, "because 75 per cent of the wood we cut here is western red cedar, and thats not a structural wood."
Of the total amount of softwood lumber exported from Canada, producers in B.C. account for about 50 per cent. The export duties mean that in B.C. as many as 30,000 sawmill workers may be out of work by Christmas, if the softwood lumber issue is not resolved.
On Saturday, Nov. 10, I drove to Squamish to see how people are coping with this setback in the forest industry. Like most people, I am overwhelmed by the scenery. Strong outflow winds churn up the cobalt blue waters of Howe Sound, creating the kind of wild beauty the region is famous for.


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About the Event
Open to everyone, the Canadian National Festival is a wonderful opportunity to enjoy a spiritual break with like-minded people from around Canada. During this special Festival, Gen-la Jampa will grant the blessing empowerment of Buddha Vajrapani, the embodiment of the power of all the Buddhas. Although his nature is love, his appearance is fierce. This reveals his function, which is to empower our minds to abandon our confused ways of thinking.
The empowerment is a guided meditation through which we connect to Buddha Vajrapani's enlightened mind. By receiving these inspiring blessings we can swiftly actualise our own potential for a fearless heart, and gain the confidence we need to progress successfully along the spiritual path.
Throughout the weekend, guided by International Teacher and Deputy Spiritual Director of the New Kadampa Tradition, Gen-la Kelsang Jampa, we will explore how to integrate this self-confidence into our life and bring about the changes we wish for.
Public Talk at KMCC • Wednesday 5 June
Everybody is welcome.
7.30-9pm • With Gen-la Kelsang Jampa
Everyone can find lasting happiness by developing a calm and peaceful mind. The meditation practices revealed in modern Kadampa Buddhism give us the power to actually achieve this. At this event, open to everyone, learn clear and effective methods that will make true happiness your everyday reality.


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Ah Summer...warm beach days, sunshine, and SWEAT! I hate sweating, so I'm wishing for cooler temps already. What can I say? I'm a California girl who wishes she were an East Coast girl. I love Fall and Winter, boots and scarves, and most of all...snow! I'm excited to whip out the Fall Décor since it is our first year in a new house. I've already got my Fall scents Glade candle stockpile going. I can't wait to fire those babies up. Hayride and Salted Caramel here I come!
(Today I linked up at Tucker Up)
Here are some of my favorite Summer outfits.
|Top: Boutique in Paris
Skirt: Forever 21
Flats: Marshalls
Belt: Loft
|Top: Ann Taylor
Shorts: Loft
Flats: Target
Necklace: Forever 21
|Chambray Top: Old Navy
Skirt: The Limited
Shoes: Target
|Top: Anny Taylor
Skirt: Forever 21
Shoes: Marshalls
|Top: Boutique in Paris
Skirt: Old Navy
|Top: Boutique in Romania
Skirt: Old Navy
|Top: Forever 21
Red Skinnies: Lauren Conrad via Kohl's
|Blazer: Gap
Top: Ann Taylor
Skirt: The Limited
Shoes: Target
|Top: Loft
Skirt: J Crew
|Dress, Shoes and Earrings: Target
I am welcoming Fall with open arms. I'm linking up with Caitlin over at Greater than Rubies to start a 20X30 Fall Challenge.
The rules are:
-Choose 20 pieces to make outfits
-Put together 30 completely new outfits


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Absolut Blank
The experience encouraged people to dance their socks off to create a unique visualisation for the audience. Each dancer chose their favourite track on an iPad, they then entered the blue screen studio where a video camera captured their dance moves and displayed it in real-time on the outside screens.
A photo of dancer was automatically captured and printed ready to hand to the them as soon as they emerged from the studio.
All the equipment was built into a shipping container so that it could be transported to festivals across the UK.
There were three interactive visuals that each had a large set of colours that were randomly selected at the start of each person's turn. The three types of visuals were particles, sculpture and cubes.


text: Find this wine Find this wine Vina Eguia Rioja Recommended 2007 Riserva. Per WE: 92pts and #18 in their "Top100" wines of 2012. Drink in 2014-2018. Pin It Tweet 6 years ago by Ejeth9 More posts Vina Eguia Rioja Crianza 2010 Wade Spain 3 4 years ago by Robertaspinall Vina Equia Rioja Wine Bottle Vina Eguia 2009 reserve Rioja Light, fruity, grapey Drinkable but just OK. 87 pts 4 years ago by Norm H. Vina Eguia Rioja Wine Tracey enjoying Girlfriends of Divorce together. 4 years ago by Starfish3981 Vina Eguia Rioja Wine Made me love Rioja 5 years ago by Kaleen M Cameron Vina Eguia Rioja Very good. Fruity but in a good way! Nice clean finish. 5 years ago by Guycrawford


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Due to the amount of beep codes a PC can give, there are many questions on Super User about beep codes! I'm hoping this post will help to provide a community answer about all (dare I say all?) beep codes, with my fictional question.
When I try to turn my PC on, I hear some beeps. This is not beeping from the HDD or fan, but from the motherboard. Regardless of the number of beeps, what do the beeps mean?


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Central Automotive Service & Repair, Inc.'s Saturn service technicians provide the best automotive services in Coralville, IA, 52241. They are trained and ready to handle whatever problem your Saturn vehicle is having. Our staff knows what your Saturn needs to perform at an optimal level, and deeply understands the brand.
Saturn was a budget and fuel-efficient brand from General Motors that has now been discontinued. It was a popular brand that many were sad to see go, so many owners have held on to their Saturn vehicles.
The brand has the reliability of GM behind it, and because of that, Saturn vehicles face few problems. Problems that do arise are relegated to interior trim problems and occasional transmission issues.
Saturn Vehicles Fixed At Affordable Prices
Visiting Central Automotive Service & Repair, Inc. will allow you to see your trained Saturn maintenance and service staff. They will work quickly to get you and your car back on the road. We want you to face as little disruption as possible when you bring your Saturn to us. Our staff is waiting to service all your Saturn needs. Give us a call at 319-338-2053 or stop by our service center. We're waiting to help.
Always willing go the extra mile for you, Vehicle has been fixed the first time and quickly and accurate every time. Mike the owner is extremely knowledgeable about the vehicles and is willing to explain it to you in a way that makes sense. I don't see them adding in all this extra stuff many other shops need. Best place in town if you want to work with straight shooters.
Everyone here was extremely friendly and helpful. My daughter and I felt very welcome and they took care of us in a timely fashion. They even recommended a place where I could purchase less expensive tires. I will be back! Thank you!
I will not take my car anywhere else. They are trustworthy, fast, reliable, affordable, and they do not take advantage of you. They really value you here!
Central Automotive is the only place I will go. Mike always finds time to fit me in no matter what the issue and keeps me and my fleet on the road. The team of mechanics can handle every situation from oil changes to full engine rebuilds and technical electrical issues. The staff is always friendly and most importantly honest. They understand my schedule and will even go pick up the cars or give me a loaner. Finding an automotive shop that you can trust is hard to find but I always get honest answers on what is worth fixing and what should wait and there is never unnecessary extras or running up the bill. 10 stars wasn't an option or they would get that.
Best place to get maintenance done! Also the customer service is great.
Great place to get your vehicle diagnosed and repaired.
Knowledgeable, friendly, honest service. Will continue to visit for service. I wouldn't trust anyone else with my vehicle. They even gave me a lift home on the other side of town while doing my repairs. Great place, great people!
My experience was amazing from the start. I called in about a nightmare of an oil leak. I was anticipating them being able to get me in by the afternoon at best, if not the next day, but Doc kindly answered the phone and told me to bring the car in as soon as I could. I brought it in an hour or two later, and they diagnosed the problem in ten minutes. Everyone was very communicative about the issue, and one member of the team even offered to give me a ride to work as it was going to take a couple of hours. Mike ensured that my car would be repaired by the end of the day, even with the several other projects already in line. It was just extremely refreshing to have honest, genuine, caring people providing top quality service. You can bet I'll be going there for my automotive needs from now on. Thank you!!
Great service, very informative without pressuring me into ramping up my bill. Very fast.
Thank you for a great initial meet today and helping me with my Jeep and what it?s going to take to get it up to good standings. Loved the honesty. Professionalism and all around good energy in your place.
Mike was so kind. He got me in the next day after I called. Prompt and friendly service. It doesn?t get much better than this place! Highly recommend.
Always willing go the extra mile for you, Vehicle has been fixed the first time and quickly and accurate every time. Mike the owner is extremely knowledgeable about the vehicles and is willing to explain it to you in a way that makes sense. I don't see them adding in all this extra stuff many other shops need. Best place in town if you want to work with straight shooters.


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Biovotion occasionally releases free feature enhancements, algorithm improvements and bug fixes for your Everion through firmware upgrades. We strongly recommend to always install the latest firmware version to have access to the latest improved functionalities and features. If you're looking for troubleshooting instructions, see "Why can't I update my Everion".
How do I upgrade my firmware?
If there is a firmware update available for your Everion, you will get a push notification within the App and you can install the new firmware right away (always put your Everion on the charger to update to the newest firmware).
In case you'd like to do the firmware update later or you don't have a charger on hand, the red notification icon in the app settings reminds you to do the update.
To install the update later on...
- Place your Everion on the Charger,
- Go to settings in the App and then to updates,
- Click on the available update and install it. This process may take a few minutes.
Your device will automatically restart. Please keep your mobile device close to the Everion and let it run during the update.


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December 2011 Issue
Trailing Edge Avionics Upgrades
Neglected panels can increase workload and risk. With the right planning, a low-budget avionics project can still enhance utility and put an edge on safety.
The dismal economy has been no help to the average aircraft upgrade budget. If youve recently solicited proposals for an ultra-modern avionics retrofit, you may have discovered the soup-to-nuts avionics upgrade you lust for probably isnt affordable. Moreover, sinking half or more of the aircrafts value into the panel pushes the boundaries of smart economics. Even the most modest of modern avionics upgrades could put the aircraft upside down financially. But that doesnt mean you shouldnt upgrade at all. In many cases, a budget that cant afford the latest and greatest gear has the owner sitting on his hands. This leads to neglected panels while safety and utility hang in the balance.
To continue reading this entire article you must be a paid subscriber.
Subscribe to Aviation Safety
The monthly journal of risk management and accident prevention, is packed with useful, timely information on basic and advanced technique, accident analysis and, most important, practical articles on how you can develop the judgment that will keep you in the air and out of the NTSB's files.
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Okay, so it's not really snowing. But it is in my bowl! By the way, this post was thisclose to being named '50 Shades of Oatmeal'. It's always so hard to title these posts. In other news…
check out this incredible bowl of oatmeal – yes, I'm sure there are oats under this mess – with all the toppings. Crumbled pumpkin muffin, pecans, peanut butter, chia seeds, and shredded coconut that didn't want to sprink-OOPS.
Please ignore that binder with chemistry homework in the background – sometimes I'm honestly too lazy to move everything to take a pretty photo. I don't know how other bloggers do it, because I just want to dig in! Here's what the scene actually looks like, with the mess in the kitchen and all kinds of nibbles on the table.
I had a similar bowl the next day – pumpkin oatmeal cooked with cinnamon and flax, topped with peanut butter, hemp hearts, pecans, and chocolate chips. 🙂
Why, oh why must oatmeal be so heavenly? The nut butter and muffin are my favourite parts and I always get seconds on the toppings 🙂
ANOTHER bowl of pumpkin oatmeal on the right – this time topped with coconut, chia, and pecans. Huge scoop of peanut butter + maple syrup on top!
This bowl, AKA Pumpkin Oatmeal Take Four, is super thick because it was once baked pumpkin oatmeal. I simply heated up the baked oats in a saucepan with extra almond milk. This texture was different in a good way – I really enjoyed this bowl, which is topped with PB, hemp hearts, and maple syrup.
I'm surprised I'm not orange, because this was ANOTHER pumpkin oatmeal breakfast. Baked, as mentioned above. You can read the recipe HERE. I highly recommend it! I topped this guy with pecans, hemp hearts, chia seeds, and maple syrup. Nut butter is buried somewhere down there too, of course. 😛
More baked oatmeal! Are you getting sick of oats yet?
This was my banana baked oatmeal topped with PB, hemp hearts and maple syrup, alongside two scrambled eggs, sliced banana, and ketchup for zee eggs. This breakfast had a little bit of everything and I absolutely loved it!
Want to see something different? Okay, these aren't pumpkin or banana oats, but my favourite chocolate oatmeal. 🙂 This was so, super yummy topped with crumbled banana muffin and peanut butter. I always make my cocoa oatmeal with one super-ripe mashed banana, which really adds to the creaminess and sweetness. I don't make this with any sugar (other than the mashed ripe banana), so it really isn't as sweet/dessert-like as it seems.
A similar but different bowl the next day topped with more PB and shredded coconut. Whenever I have cocoa oatmeal, I never want the bowl to end!
Another day I tried to make baked peanut butter cookie oatmeal, and I stuck a chocolate kiss on top. This baked oatmeal recipe for one was not super tasty in my opinion, so I won't be sharing the recipe. I still liked it though – the crispy texture on top was so unique. But I think the flavours need to be played around with. Or maybe I just really miss that blob of peanut butter on top. 😉
That's all I have for you today – have a delicious long Easter weekend everyone! 🙂


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The Zanders are great story tellers. Ben starts by telling how his father made a long trip just to talk to someone face to face. He took the same stance when he wanted to hire the great cellist, Mitislav Rostropovich. When he couldn't get past the gate-keeper secretary he simply got on the train to Washington and arrived unannounced. By making the invitation personal, he got exactly what he wanted and benefited in other ways from the association.
I can remember a personal encounter with the great Canadian broadcaster, Lister Sinclair. I needed to hire him for a workshop and the association I worked for could offer a $500 fee. His stated fee was $5,000. When I approached him personally, he decided he wanted to do it because he knew he was exactly the right person to inspire others on his topic which was one that he loved.
The metaphor of lighting a spark comes from the middle ages when those who needed to start a fire carried a hot coal at the ready. Sometimes that's all it takes and a sudden change of direction works. Rosalind Zander relates a tale of getting a flat tire and having no change to access a gas station coin box to use the pump. She asked for change from another customer but no one had any. She suddenly changed her request to "Will you give me 50 cents so I can use it?" The customer smiled and immediately handed it over.
Ben's final triumph came from inspiring a corporate sponsor for an event with the London Philharmonia Orchestra. He got a polite refusal from the major accounting firm for his request, but conversation turned to the company's involvement with education in "failing schools". So he decided to use that angle as a means of enrolling the company in helping in the area where they already had interest and involvement. Not only would he take a full symphony orchestra to the school for a performance, he would also ask them to bring 200 students to the famous Royal Albert Hall afterwards.
Classical music in such a school? Even the intrepid principal thought that the kids would be disrupting the whole procedure by 15 minutes in. It seemed a recipe for disaster. Moreover 100 corporate executives joined the 1100 students. Only Ben Zander could pull off having all of them joining in the final chorus of Beethoven's Ode to Joy.
There is even more to the story and it is well worth the entire book. What the chapter demonstrates is the ability to enroll even the most reluctant partners by energy, excitement and determination – all part of the spark. Any of the You Tube videos shows this in action and says it much better than this.


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In your dashboard, you'll see a tab labeled My Calendar. This will show you all gigs based on the filters you select (program, data range, location)
Each gig on the Calendar view will have a tag to note what stage it is in. You can click the pencil icon to edit details for the gig. Once a GoGetter has confirmed a gig you will see their name within the gig information. The Workflow Tab will show you similar gig information broken out by stages.
Within the Calendar view you can edit or duplicate a gig by clicking into the top right corner of the gig. You can also download a CVS export of the calendar to see the same view in excel. To export, click Export Calendar in the top right, below the date filter.


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We offer a lifetime Return / Refund Guarantee.
To be eligible for a refund or return your item must be used within our posted
usage guidelines and not been shot with ammo containing steel.
Targets shot with steel are very easy to identify and are not covered as
this ammo is designed to penetrate steel.
To complete your return, we require a receipt, order number or proof of purchase.
Also include a piece of paper with the target(s) with your order number / full name and
let us know if you desire a refund or a replacement.
Send items to;
ST7 (attn:returns)
4700 22nd ave
Hudsonville, MI, 49426
Unless the return is the result of a mistake on our part you will be responsible for paying
shipping costs for returning your item. Refunds will be for the cost of GOODS only, we
will not refund the shipping you paid to have the item shipped to you.
If you are shipping an item over $75, you should consider using a trackable shipping service or
purchasing shipping insurance.
Once your return is received and inspected, we will send you an email to notify you that
we have received your returned item. We will also notify you of the approval or rejection of your refund.
If you are approved, then your return / refund will be processed, and a credit will automatically
be applied to your credit card or original method of payment, within 3 days or a replacement will be shipped.


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adidas Originals Attitude Hi "Ewing"- A couple of weeks ago the people from adidas tease us with a preview image of the attitude Hi set to drop in the New Year. Now we present you with images of the Beast in the Borough. The adidas Originals attitude Hi "Ewing" will be available at BX Sports on January 10th, 2013. Continue reading to see photos of these classic that were made famous by NBA star Patrick Ewing.
- GBP - British Pound Sterling
- EUR - Euro
- USD - US Dollar


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Cash for your Home
Oakridge Investment Group offers high quality homes for rent and sale in Toledo. To do this we must purchase homes throughout Toledo. As we continue to offer superior housing in the Toledo area, we also need to purchase home. While ideally we are looking for three and four bedroom homes that have garages and basements we do not limit ourselves to this criteria. If you have a home in a stable area, we may have interest. If your home needs work, we may have interest and if you need cash fast, we may have interest.
We can offer cash for all homes purchased in Toledo and can close the purchase within 10 business days. Oakridge Investment Group uses Toledo title companies and Toledo realtors to purchase their homes. But, we would love the opportunity to purchase your home directly from you!
So if you are moving, if you have financial problems, or even going through a divorce or need to settle an estate we can help! Please call us at 419-474-0329 or email us at email@example.com


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Welcome to Math 1A
Before we dive into mathematics, let's step back and think about what we're going to be covering this semester.
There are roughly speaking just 3 topics in Math 1A:
- Functions and Limits. (Chapter 1 and Sections 2.1 through 2.6 of Stewart.)
- Differentiation and its applications. (Sections 2.7 through 2.8 and Chapters 3 and 4 of Stewart.)
- Integration and its applications. (Chapters 5 and 6 of Stewart.)
Of course, there is a lot to elaborate on those three topics, but it's important you understand ahead of time what the broad outline is.
Functions and their Derivatives.
Numbers, Sets and Functions
Before concerning ourselves with functions, we should first start with things more fundamental to mathematics, numbers. It's complicated to define exactly that we mean by a number, so we're going to give a working definition that isn't exactly precise, but is good enough for our purposes.
Working Definition: A real number is a number on the number line. The set of real numbers is denoted by \(\mathbb{R}\). (We'll talk about sets in a moment.)
As you can see, the number line is a way of representing numbers. There are some special numbers that we might need to refer to later, so I might as well tell you about them now.
- The natural numbers are the numbers \(1, 2, 3, 4, 5,\ldots\) and so forth. Some people also include 0 as a natural number, so it's best to be a little careful if it's important that there's no confusion. The set of natural numbers is denoted by \(\mathbb{N}\).
- The integers are the all the numbers \(\ldots, -3, -2, -1, 0, 1, 2, 3,\ldots\) . They go on for ever in both directions. The set of integers is denoted by \(\mathbb{Z}\). (Why Z? Well, Z stands for zählen, which is German for counting.)
Those two types of numbers are easy enough. You can see them (well, some of them) in the picture of the number line in Figure 1. But what about all the numbers in between? Here things get a little complicated. Some of the numbers that lie between the integers are called rational numbers. Here's a precise definition for a rational number:
Definition: A rational number is a real number that may be expressed in the form \(\frac{a}{b}\) where \(a\) and \(b\) are integers. The set of rational numbers is denoted by \(\mathbb{Q}\).
And now we come to the first really deep question about mathematics: Are there any real numbers that are not rational? Well, if you look between two consecutive integers, say 1 and 2, you find that there are infinitely many rational numbers in between. For example there is one and a half, which I can write as \(\frac{3}{2}\), and there is one and two thirds, which I can write as \(\frac{5}{3}\). In fact, any finite decimal is a rational number because I can just write it as some integer over a suitably high power of ten. For example: \[17.57842 = \frac{1757842}{100000}.\]
It's a little harder to show that every repeating decimal is also a rational number. Maybe I'll come back to that another time. To give you an intuition for what's going on, think about 0.1111111... where the ones go on forever. What happens if you multiply that by 9? Well then you get 0.999999... where the nines go on forever. And now I will shock you when I tell you that that is exactly equal to one, but I won't be able to justify it very well because I haven't told you about the definition of the sum of an infinite series, so you'll just have to take my word for it. (Or, hold on to your hats: Let \(x = 0.\overline{9}\). That is a shorthand for 0.999999 with infinite nines. Then \(10x = 9.\overline{9}\). That means that \(10x = 9 + x\). Therefore \(9x = 9\). And so \(x=1\). So \(0.\overline{1}\) is exactly \(\frac{1}{9}\). You might like to see if you can figure out how to generalize this approach to other repeating decimals, but only if you think that's interesting.)
Now, there are also real numbers that are not rational. Those are all the numbers that sort of fill in all the gaps between the rational numbers. We call them irrational numbers. Famous examples are the ratio between a circle's circumference and diameter, \(\pi\), the base of natural logarithms, \(e\) (we'll come on to that later), and all roots that are not exact roots, like \(\sqrt{2}\) and \(\sqrt[3]{16}\). There's some interesting history about irrational numbers, which you can read about here: https://en.wikipedia.org/wiki/Irrational_number.
I think that's nearly everything I have to say about numbers for the time being. However there is one more important thing I want to mention because it sometimes causes confusion: We'll often be talking about concepts called infinity and minus infinity. We donate these as \(\infty\) and \(-\infty\) respectively. They are very useful concepts, and we'll spend some time figuring out how to make sense of them, but I should emphasize that they are not real numbers. That means that for all the usual things you can do to real numbers, like add them together, subtract them from each other, multiply and divide, that doesn't make any sense for infinity and minus infinity. If you see something like \(\frac{2x+1}{x}\) you can't plug in \(x=\infty\) because it doesn't make any sense to talk about \(\frac{2\infty+1}{\infty}\). I shouldn't even really write \(x=\infty\) because it makes no sense.
Okay, that's enough about numbers to be getting on with. I really want to get onto talking about functions, but first I promised that I would tell you what a set is.
We've seen above that \(\mathbb{R}\), \(\mathbb{N}\), \(\mathbb{Z}\) and \(\mathbb{Q}\) are sets. But what do we mean by a set? Well, I'm afraid that I can't give you a precise definition so I'm going to give you a working definition that will be okay for our purposes.
Working definition: A set is a collection of elements.
But what's an element? Well it's one of the things that goes inside the set. But's what's a set? It's a collection of elements. We could go on all day. So I think I should just give you an example:
Consider the set \(\{1,4,5\}\). That means the set which contains three elements, namely 1, 4 and 5. I generally wrap my sets in curly braces like that, so you should look out for that and not be thrown off. I can truthfully say that 1 is an element of that set, and I would write that as "\(1 \in \{1,4,5\}\)". The symbol \(\in\) means "is an element of", and is written a little like a letter "c" with a line coming out the middle. It's quite simple really.
So when I say "\(x \in \mathbb{R}\)" you know what I mean. I'm saying that \(x\) is a real number, one of those numbers on the number line.
I'd like you to look at the following sentence, which might not make sense:
Let \(f:\mathbb{R}\rightarrow\mathbb{R}\) be a function.
What does this mean? Well, let's start with the first word, let.
The word "let" in mathematics means we are assuming something to be true. I might have used a different word instead, such as assume or suppose. They all mean the same thing which is that I'm about to say something with no justification whatsoever, and we as the reader are meant to just accept it without question. If I say "Assume \(x=2\)." or "Let \(x=2\)." then I shouldn't say "Wait, why does \(x\) equal 2?". I just say, "Okay! I'm assuming that x is the number two." After that, every time I see \(x\), know that it just means \(2\).
So in the sentence above, I'm assuming that \(f:\mathbb{R}\rightarrow\mathbb{R}\) is a function. What does that mean? Well, first of all, I think I should tell you how to read that in words. You read it like this:
"Let eff from ar to ar be a function."
You know what the two \(\mathbb{R}\)'s mean. They each refer to the set of real numbers. So \(f\) is taking the real numbers to the real numbers. But what does it mean to talk about a function?
Definition: A function is a rule that takes an element of the first set, called the domain, and sends it to an element of the second set, called the co-domain. (Not the range, that's something different which I'll come onto later.)
So when I say "Let \(f:\mathbb{R}\rightarrow\mathbb{R}\) be a function." what I mean is that \(f\) is a rule that takes an element of the first \(\mathbb{R}\) and sends it to an element of the second \(\mathbb{R}\). (Remember element just means one of the things in the set.)
That's rather abstract. I think I should give you an example so that you feel reassured that this is not that complicated. Look at this sentence:
Let \(f:\mathbb{R}\rightarrow\mathbb{R}\) be defined by \(f(x) = x^2\).
Now we should be feeling more comfortable. Now I'm saying that \(f\) is a rule that takes as input a real number (from the first \(\mathbb{R}\)) and sends it to an output real number (in the second \(\mathbb{R}\)) and the way I figure out what the output should be is to simply square the input. When I say \(f(x) = x^2\) I read that as "eff of ex equals ex squared." The notation \(f(x)\) means the result of putting in input \(x\) into the function \(f\) and so when I say that that is equal to \(x^2\) I'm just saying that if the input is \(x\) then the output is \(x^2\). Please never make the mistake of thinking that \(f(x)\) means \(f\) multiplied by \(x\). I know it's confusing.
I think I should give you a question to try. (Did I tell you that I'd be asking you questions? You can think of these questions as homework. I suggest you actually try writing out solutions to them. They are meant to be easy enough that you just have to slightly adapt something we've already seen. )
Question 1: Write a sentence that assumes that \(g\) is a function from the real numbers to the real numbers whose output is the result of multiplying the input by 4 and then adding 7.
We're pretty much done talking about functions and ready to start talking about Calculus. What is Calculus? Well, there are many ways to describe it, but broadest definition I can think of is that it is the quantitive study of change. For example, if we go back to our function \(f\) that we defined above, the one given by \(f(x) = x^2\), we can ask the question: How quickly does \(f(x)\) change if we vary \(x\)? How quickly does the output vary as we vary the input. That is a very important question. If you are running a business, you might figure that you would get more sales if you reduced your prices, but how many more sales? If you are a doctor you might want to reduce a patient's blood pressure by prescribing some medicine, but how sensitive is the patients blood pressure compared to the dose of the medicine? You can see this sort of thing if you adjust the sensitivity of the mouse on your computer. If the sensitivity is increased, then the pointer will jump around on the screen as you move your mouse (your input device) around. On the other hand, turn the sensitivity down, and you have to move the mouse much further to make the pointer move. This is what we are studying when we study Calculus. We are trying to understand not just how one quantity affects another quantity, but how sensitive the output is compared to the input. We see this all day, every day, every time one quantity affects another quantity.
A peek ahead.
We're about to get on to a topic that is pretty difficult for most students. So difficult that a lot of professors just skip it altogether. But those guys are just losers who don't have enough confidence in you.
Here's the motivation. We want to be able to understand how quickly something is changing at a particular time, or to be more precise when the input takes a certain value. For example, I might ask, how quickly is \(x^2\) changing relative to \(x\) when \(x=2\)? Well, the trouble is that if I fix \(x\) to be 2, then \(x^2\) is stuck at \(4\), which isn't changing at all. On the other hand, if I allow \(x\) to go up a little bit, say from \(2\) to \(3\), then \(x^2\) goes up from \(4\) to \(9\), but that is a change that takes place over the whole range of values of \(x\) from \(2\) to \(3\). I could look at a smaller range of values of \(x\) near to \(2\), like from \(2\) to \(2.1\), but that only gets me closer to what I really want, which is how fast \(x^2\) is changing relative to \(x\) when \(x\) is precisely \(2\).
The way we do this is with something called a limit.
What's a limit? Well, it's a little like the example we saw earlier with \(0.9999999\) where the nines go on for ever. You might have been surprised to hear that that number is exactly 1. But if I tell you that the sequence 0.9, 0.99, 0.999, 0.9999, and so forth, where I put an extra 9 at the end of the decimal expansion every time, gets closer and closer to 1, as close as you like to 1, you will probably think that is pretty obvious. And that is all I am saying when I say that \(0.\overline{9}\) is equal to \(1\). I'm saying that \(0.\overline{9}\) is defined to be that number which the sequence with an extra 9 each time gets arbitrarily close to, and that number is exactly 1. That's what we mean when we talk about an infinite decimal expansion. The idea of the limit is a way of talking in a precise way about a number that we get as close as we like to. We'll be talking more about sequences of numbers like this, and related things called series, in Math 1B.
So anyhow, let's get back to how limits relate to functions. Suppose I have a function \(f:\mathbb{R}\rightarrow\mathbb{R}\). You know what that means right? If not, go back and read the part about functions again to remind yourself.
Where was I? Oh yes, suppose I have a function \(f:\mathbb{R}\rightarrow\mathbb{R}\). Suppose that \(a\in\mathbb{R}\). We're going to be interested in what happens to \(f(x)\) when \(x\) gets as close as I like to \(a\). If there's a real number \(L\) that I can make \(f(x)\) as close as I like to just by making \(x\) as close as I like to \(a\), then I call that number the limit \(\displaystyle \lim_{x\rightarrow a}f(x)\).
That sounds very complicated, but it's not that complicated. I can make \(x^2\) as close as I like to \(9\) by making \(x\) sufficiently close to \(3\), for example.
Don't worry if this doesn't make entire sense. I'm trying to explain something rather complicated without using words you don't know. Here is the formal definition of a limit, so you can see what we're going to be spending time trying to understand.
Definition: Let \(f:\mathbb{R}\rightarrow\mathbb{R}\) and \(a, L \in \mathbb{R}\). (Don't be thrown off - that just means that both \(a\) and \(L\) are real numbers.) Suppose that for all \(\epsilon > 0\) there exists \(\delta > 0\) such that if \(0 < |x-a| < \delta\) then \(|f(x)-L| < \epsilon\). Then we say that \(L\) is the limit of \(f(x)\) as \(x\) tends to \(a\), and we write that as \(L = \displaystyle \lim_{x\rightarrow a}f(x)\).
Gosh, what a lot to understand. I expect it doesn't make much sense. Don't worry. It's just meant to get us ready for our next topic. But I think we've done too much reading for now, so here's a video so you can grab some popcorn and follow along. You can skip the first few minutes and catch up to where we're at:
Did you watch the video? Perhaps I might quickly recap the key points:
- In mathematics we study statement that have a precise truth value. That means, they are either true or false. They are never vague. Of course, in real life, most assertions that we make are a little vague. If I say that it is sunny today, I allow that possibility that there might be a few clouds in the sky, but how may clouds? It's not exactly clear. But if I say something in mathematics, it has to be either true or false. For example, as a mathematician, if I say "\(x=2\)", that could be true, or it could be false, depending on what \(x\) is, but it can never be "kinda true" or "sorta true". In this way, speaking mathematically is different to the way we speak in real life.
- We can make new mathematical statements out of existing mathematical statements. Let \(P\) and \(Q\) be statements. (Remember that means they have a precise truth value.) The the following are new truth statements that have truth values depending on the truth value of \(P\) and \(Q\):
- "Not \(P\)." This is true precisely when \(P\) is false. It's false when \(P\) is true.
- "\(P\) and \(Q\)." This is true precisely when \(P\) and \(Q\) are both true, and false otherwise.
- "\(P\) or \(Q\)." This is true if at least one of\(P\) and \(Q\) is true. It could be that \(P\) is true and \(Q\) is false, or \(P\) is false and \(Q\) is true, or it could be that they are both true. All three possibilities result in "\(P\) or \(Q\)" being true. The only way "\(P\) or \(Q\)" can be false is if both \(P\) and \(Q\) are false.
- "If \(P\) then \(Q\)." (Sometimes this is written as "\(P \Rightarrow Q\)", pronounced "\(P\) implies \(Q\)".) This one is more tricky. In daily language the words "If\(\ldots\) then\(\ldots\)" have a connotation that is a little different to what we mean in mathematics. In mathematics, the statement "If \(P\) then \(Q\)." is true if unless \(P\) is true and \(Q\) is false. It's a little counter-intuitive, so I'll give you some examples. You may find it surprising, but mathematically speaking the first three of the following are true, but the last one is false:
- "If \(1+1=2\) then \(\pi\) is irrational."
- "If Donald Trump is a woman then Barack Obama is a man."
- "If the capital of Germany is Paris then the river Nile is in Canada."
- "If Moscow is in Russia then the set \(\{1,2,3\}\) has \(25\) elements."
- "\(P\) if and only if \(Q\)." or "\(P\) and \(Q\) are equivalent." This is true when \(P\) and \(Q\) have the same truth value. Otherwise it's false.
If any of this is confusing, I suggest watching the video again. If it's still confusing, you can always phone me.
It turns out there's a lot you can study just by thinking about how to put statements together. The part of mathematics that deals with that is called "propositional calculus", which is a branch of a bigger field called "logic". You can read more about that here. For our purposes we just need a very basic understanding of putting statements together like we've described above.
Now, if we go back to that long definition I showed you before, we still have a lot of work to do to understand the whole thing, but we understand two important words. I'll put them in bold so you can see:
Definition: Let \(f:\mathbb{R}\rightarrow\mathbb{R}\) and \(a, L \in \mathbb{R}\). Suppose that for all \(\epsilon > 0\) there exists \(\delta > 0\) such that if \(0 < |x-a| < \delta\) then \(|f(x)-L| < \epsilon\). Then we say that \(L\) is the limit of \(f(x)\) as \(x\) tends to \(a\), and we write that as \(L = \displaystyle \lim_{x\rightarrow a}f(x)\).
So you can see, we didn't have a chance of understanding this until now because we didn't know what "if\(\ldots\) then\(\ldots\)" meant. Now we do.
But how can I be sure that an if then statement is true. Well, what I do is I suppose the "if" part, and I try to deduce with a rigorous chain of argument the "then" part. Here's an example:
Question: Prove that if \(3x+1 = 10\) then \(x=3\).
Answer: Suppose that \(3x+1 = 10\).
Then \(3x = 9\).
Therefore \(x = 3\).
Therefore if \(3x+1 = 10\) then \(x=3\). \(\square\)
Of course, this is the kind of algebra we learned some time ago in school. However the point I want you to focus on is not the algebra, but the logical structure of the argument. Notice how I assuming the "if" part at the start, and after three lines of reasoning I'd deduced the "then" part. The fact that I was able to do that meant that I'd proved the over all "if\(\ldots\) then\(\ldots\)" statement. Because I'd finished a proof, I put a little square at the end to say that I was done, which is a nice touch that mathematicians often do.
There is another point about the structure of the argument I'd like you to attend to. Notice how I wrote everything on a separate line. This helps me break down my thoughts so that I know I'm just writing one statement. I introduce each statement by saying whether it is an assumption or a deduction. We talked about assumptions before. Do you remember other words that mean the same thing as "suppose"? Look back to the section on functions if you've forgotten. In the answer to the simple question we just did, only the first line was an assumption. I was assuming the "if" part of the "if\(\ldots\) then\(\ldots\)" statement. Remember, I don't need to justify an assumption, I get to say whatever I want after "assume" or "suppose".
The next three lines are not assumptions. They are deductions. What is a deduction? Well, you may have heard that word before if you've ever read any Sherlock Holmes stories. A deduction is something that you've figured out based on the information you already have. When I say "Then\(\ldots\)" or "Therefore\(\ldots\)" or "It follows that\(\ldots\)" or "Hence\(\ldots\)" you know that I am about to say something that I know with absolutely certainty based on what I already know. Here's an example taken from the Sherlock Holmes story The Adventure of the Priory School:
"It is impossible as I state it, and therefore I must in some respect have stated it wrong."
It's exactly the same in the argument above. The word therefore, and other words that mean the same thing, is saying something very strong. It's saying that without introducing any more information, we can say a new thing that we no to be true. That's a very powerful idea. That is the power of logic.
I'm going to give you some harder examples. Try to answer these questions very precisely:
Question: Prove that if \(x^2 = 4\) and \(x\) is positive, then \(x=2\).
Question: Prove that if \(a^2 - b^2 = 0\) then \(|a|-|b|=0\).
Let me know if you have any difficulties with those! I really believe in your ability to do a good job.
I think we've spent enough time on the statements. The next thing to understand is the words "for every" and "there exists". That brings us on to our next topic, qualifiers.
That's all I've got!
Please come back when I've made more. If you'd like to get regular updates via email when I post more, please fill out the following form. You can also send comments and feedback to me. It's especially helpful if you let me know if something is confusing.


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Know more about this business than we do? Cool! Please submit any corrections or missing details you may have.Help us make it right
Be the first SILive.com user to add photos or videos of Us Passport Acceptance
US Passport Acceptance is located at 365 W 125Th St, New York, NY. This location is in the Morningside Heights neighborhood. This business specializes in Government.


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Tag Archives: Freezer
A Missouri man was cleaning out his mom's freezer. He found a 'mummified' baby in a box
A Missouri man cleaning out his mother's freezer this weekend made a horrifying discovery: a frozen human baby inside a box.
Man who died after jumping out of restaurant freezer and threatening staff with knife was suspected cold-case killer
A man who died after jumping out of a freezer at a New York restaurant brandishing a knife was a suspected murderer in a cold case, police have said. Carlton Henderson, who had just been released from a Boston prison, screamed, "Away from me, Satan!" as he leapt from a walk-in freezer at Sarabeth's restaurant in Manhattan. Staff took the knife from Mr Henderson and wrestled him to the floor, where he went into cardiac arrest on Sunday, according to police.
Man found in restaurant freezer attacks worker with kitchen knife then dies, say police
A 54-year-old man died after jumping out of a freezer and attacking an employee with a kitchen knife on Sunday at a popular restaurant in New York, police said. The man shouted, "Away, Satan!" and grabbed the knife after an employee opened the walk-in freezer at Sarabeth's in Manhattan around 11am, police said. No restaurant workers or patrons were injured, police said.
Duterte permanently bans Filipinos going to work in Kuwait after maid found stuffed in freezer
Philippine President Rodrigo Duterte on Sunday said the temporary ban on Filipinos going to work in Kuwait is now permanent, intensifying a diplomatic standoff over the treatment of migrant workers in the Gulf nation. Mr Duterte in February imposed a prohibition on workers heading to Kuwait following the murder of a Filipina maid whose body was found stuffed in a freezer in the Gulf state. The crisis deepened after Kuwaiti authorities last week ordered Manila's envoy to leave the country over videos of Philippine embassy staff helping workers in Kuwait flee allegedly abusive employers. The two nations had been negotiating a labour deal that Philippine officials said could result in the lifting of the ban but the recent escalation in tensions has put an agreement in doubt. "The ban stays permanently. There will be no more recruitment for especially domestic helpers. No more," Mr Duterte told reporters in the southern city of Davao. There was no immediate response from Kuwait, where around 262,000 Filipinos are employed – nearly 60 percent of them as domestic workers, according to the Philippines' foreign department. Last week the Philippines apologised over the rescue videos but Kuwaiti officials announced they were expelling Manila's ambassador and recalling their own envoy from the Southeast Asian nation. In quotes | Rodrigo Duterte, President of the Philippines Kuwait also detained four Filipinos hired by the Philippine embassy and issued arrest warrants against three diplomatic personnel, Manila said. Mr Duterte on Sunday described the treatment of workers in Kuwait as a "calamity". He said he would bring home Filipina maids who suffered abuse as he appealed to workers who wanted to stay in the oil-rich state. "I would like to address to their patriotism: come home. No matter how poor we are, we will survive. The economy is doing good and we are short of our workers," he said. About 10 million Filipinos work abroad, seeking high-paying jobs they are unable to find at home, and their remittances are a major pillar of the Philippine economy. The Philippine government has for decades hailed overseas workers as modern heroes but advocacy groups have highlighted the social cost of migration, tearing families apart and making Filipinos vulnerable to abuse. Mr Duterte lashed out at Kuwait in February, alleging Arab employers routinely rape Filipina workers, force them to work 21 hours a day and feed them scraps. However after the latest row, Mr Duterte used a conciliatory tone as he addressed the "diplomatic ruckus" on Saturday. "Apparently it seems as if they have anger against Filipinos … I do not want to send (workers) because apparently you do not like Filipinos," he said in a speech before Filipinos in Singapore. "Just do not hurt them. I plead that they'd be given a treatment deserving of a human being," he said in the same event.
Philippines: Suspect in Filipina's freezer death arrested
MANILA, Philippines (AP) — One of two suspects in the gruesome death of a Filipina maid whose body was found stuffed in a freezer in an apartment in Kuwait has been arrested in Lebanon, the Philippine foreign secretary said Friday.
Kitten placed in freezer, thrown off 2nd-story balcony, police say
Police arrested a man for animal cruelty after he allegedly placed a kitten in a freezer and threw the feline off a second-story balcony in Fontana.
Death of Teen Who Was Found Inside a Hotel's Freezer Has Been Ruled an Accident
The death of Kenneka Jenkins at the Crowne Plaza hotel has been determined an accident, the medical examiner's office announced in a statement
Teen Found Dead in Hotel Freezer Died of Hypothermia: Report
The teen was found dead in a hotel freezer last month.
Family Of Chicago Teen Found Dead In Hotel Freezer Demands FBI Investigation
Family and friends of Kenneka Jenkins, a teenager found dead last week in the freezer of a Chicago-area hotel, want the FBI to investigate after local police said they don't suspect foul play.
Mother Requests FBI Probe In Chicago Teen's Freezer Death
On Friday, Rosemont Police released a surveillance video to the public showing the teenager wandering alone in a deserted kitchen area of the Crowne Plaza Chicago O'Hare Hotel.


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text: Fed Cup Asheville Saturday, February 10, 2018 1:00 PM 13:00 Sunday, February 11, 2018 1:00 PM 13:00 U.S. Cellular Center 87 Haywood Street Asheville, NC, 28801 United States (map) Google Calendar ICS Fed Cup is the world's largest annual international team competition in women's sport, with approximately 100 nations taking part each year. This is the first time that Asheville will host Fed Cup. The U.S. team comes to the city after winning its record 18th Fed Cup title in November over Belarus, 3-2, in MinskThe U.S. holds a 6-2 head-to-head record over the Netherlands in Fed Cup play. The winner of this match-up will advance to the Fed Cup Semifinal, April 21-22.For more information, visit www.usta.com/fedcup or www.fedcup.comTo purchase tickets please visit uscellularcenterasheville.com


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No Man's Sky has changed a lot since its original release on the PlayStation 4 two years ago.
At launch, the game was pretty controversial - many accused the title of making false promises, as selling itself as something it wasn't, and there was something of a backlash against the game as a result.
Since then, however, the game has gone from strength to strength, seeing a plethora of new updates and getting ever closer to that so-called 'promise' the title had ahead of its release.
Now, with the game due to launch on Xbox One on July 24, Inside Xbox has produced a video detailing the 11 most notable things that have changed in the game since launch - just in time to enjoy them on Xbox One.
If you haven't got time to watch the video, a rundown of these 11 improvements can be found below:
1.) Each star system now has its own conflict and wealth levels that you can easily check on and see
2.) Every planet has fast-travel
3.) The terrain is generated and planets are created in a more interesting, captivating way
4.) You can traverse planets in vehicles
5.) Various game modes (Permadeath, Creative, Survival) add new ways to play
6.) Base building has been introduced, along with rudimentary recruitment tools
7.) Mission and story offerings have been increased
8.) Terraforming has been upgraded, more areas than ever are more accesible
9.) Downed spacecraft carrying huge rewards introduced
10.) Space combat has been refined, enemy AI improved
11.) Space freighters can be purchased and used as mobile bases
If you didn't already know, No Man's Sky is an epic science fiction adventure set across an infinite universe, in which every star is the light of a distant sun, each orbited by planets filled with life, and you can go to any of them you choose.
In this infinite procedurally generated universe, you'll discover places and creatures that no other players have seen before – and perhaps never will again.
A mystery lies at the centre of the galaxy, an irresistible pulse that draws you on an epic voyage to discover the true nature of the cosmos.
Your journey will be charged with danger, encountering hostile creatures and fierce pirates, in order to survive you will need to prepare, upgrading your ship, suit and weapons.
The game launches for Xbox One on July 24, and is already available on PC and PS4.


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Drogbar Durability
|Drogbar slain in Whitewater Wash (15)
DescriptionWe are currently at war with a race known as the drogbar. We have long maintained peace with the drogbar, but lately, they have no respect for anyone but themselves.
Slay them. Prove your worth as an ally of the tauren. Do this, and I will reward you with knowledge.
If you can take down the drogbar, then perhaps you are worthy of my knowledge.
I'll start you with a couple simple patterns to start.
I'll start you with a couple simple patterns to start.
RewardsYou will learn:
|Recipe List: Highmountain Leatherworking
GainsUpon completion of this quest you will gain:
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The Wowhead Client is a little application we use to keep our database up to date, and to provide you with some nifty extra functionality on the website!
It serves 2 main purposes:
- It maintains a WoW addon called the Wowhead Looter, which collects data as you play the game!
- It uploads the collected data to Wowhead in order to keep the database up-to-date!
You can also use it to keep track of your completed quests, recipes, mounts, companion pets, and titles!
So, what are you waiting for? Download the client and get started.


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Research Store
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|Issue Date:May 25 2018 12:00AM Price in Rs. R 6500 Price in USD. $ 100
Gwalior, MP, based Vectus Industries is a manufacturer of plastic water tanks, polypropylene random copolymer (PPR) piping systems, polyvinyl chloride (PVC) and chlorinated PVC piping systems, plastic pipe fittings, polyethylene manholes and various kinds of plastic moulded articles for agricultural and household purposes. The company has several majority owned subsidiaries, via which it carries out some of above businesses.
The company is a PAN India player, with 4300 dealers, 15,000+ retail counters, 13 manufacturing plants and 7 depots across the country. Vectus sells its products under Vectus, Ganga and Waterwell brands.
The company was incorporated in Aug'2007. It has 7 directors: Atul Ladha (managing director), Ashish Baheti (managing director), Sunita Ladha, Narayan Anand (investor director), Kapilesh Manglik, Sarika Baheti, Ashish Baheti and Santosh Kumar Maheshwari.
The company raised USD16m funding in 2014, from Creador. The company is reportedly planning an IPO of Rs 5B now.
For FY17, the company reported consolidated revenue of Rs 5.8B, and healthy operating profit of Rs 1B.
See our detailed research report on Vectus Industries for more info
- Company Background
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