Salaman Institute is referred as Pioneer School for the fact that it is the first high school institution founded on February 14, 1948 in suburbs area of Sultan Kudarat – Lebak. Salaman Institute put up the Salaman Communal Irrigation System covering 800 hectares of rice land for agricultural productivity purposes during the early years of the Institution.
I cannot speak for its early history as I myself don't know how it looks back then, I am part of the younger generations of Salamanian. I do wonder what the classroom looks like back then, who were the first mentors and first Principal as well as the first Valedictorian of my Beloved Alma Mater. In any history the first is always memorable and treasured, but due to the fact that there is no written history about Salaman Institute those momentous events are not shared with younger generation Alumni like me.
If I cannot speak about its early history i can and able to speak about its history in the making when i was with my Alma Mater. My freshmen was memorable very much memorable! It was then the Golden foundation of Salaman Institute aside from that it was also the year that am embarrassed of myself. First day of school all was on their long pants except me I on my short pants… (hehehe feeling ko elementary parin ako) You can read more about our batch history here.
For me Salaman Institute is the finest high school in Lebak, Sultan Kudarat not because it is my Alma Mater but because of its accomplishment through the years. Salaman Insitute's History is the leaving testament of such accomplishments and greatness. Hmmm, I missed my high school days it brings back old treasured memories.
You must be proud being part of Salaman School..Anyway kindly change my domain URL from http://bighuggable.blogspot.com to http://bighuggable.info Thanks.


Colombiage is delighted to be working in partnership with the renowned Barbican Centre to promote ONDATROPICA, the new wave from Colombia.
Will Holland aka Quantic has joined forces with Mario Galeano of Bogota's pioneering Frente Cumbiero, who recently performed in London as part of the Colombiage season, to create Ondatrópica a new big band embracing the past, present and future of Colombia's tropical cumbia sound. Ondatrópica cradles the talents of some greats from the seventies golden age of Medellin's Discos Fuentes such as Michi Sarmiento on sax, Wilson Viveros on timbales and Pedro 'Ramaya' Beltran on flute and Joe Arroyo's trumpet player Jorge Gaviria alongside a breaking wave of young tropicalistas including Nidia Gongora (Combo Barbaro) on vocals and the mighty Chongo (Sidestepper) on percussion to create a new sound spanning the musical generations.
The project was lovingly assembled in Medellin's Discos Fuentes studios earlier this year, the Colombian Abbey Road, and has the analogue feel of the seventies cumbia and salsa boom but with a very contemporary pan-Caribbean sound.
Ondatrópica is coming to the UK to perform at sold-out pre-Olympic BT River of Music Festival at the Tower of London in July but there are still tickets available for their London debut at Hackney Empire on July 20 when we are also celebrating Colombia's independence. For those of you who had the chance to boogie down to Frente Cumbiero's explosive cumbia sounds at Brixton Jamm in May, you will know that this is a rare opportunity to experience the very best of the new Colombian cumbia movement. Join us for what will be an unmissable night of great talent and much more.
Ondatrópica is assisted by the British Council and their debut album comes out on Soundway on July 16.
Where: Hackney Empire, 291 Mare Street Hackney London E8 1EJ. View location.
For ticket bookings, please click here: £10-20. Subject to availability.


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text:
Mary C Simmons … Art and Word
Desert Paintings
Rocking the Paint
Landscape Paint and the Chemistry Blues
Sentience and the Art of Everything
The Little Pufferfish Who Could
Art of Earth
Bones of Earth, Bones of Clay
Corvus Rising — a fantasy of crows
Corvus Rising – Synopsis
Corvus Rising – Chapter 1
Map of Wilder Island and Vicinity
Corvus Rising Chapter 2: The Priest and the Crow
Wilder Island Collage
Corvus Rising – Chapter 10
Illustrations for Chapter 12 – Corvus Rising
First Crow, First Raven, First Human…the Stories
First Crow, First Raven Bring Fire to Humans
First Crow, First Raven, First Human: Tan Me Hide and Teach Me to Sew
First Crow, First Raven: Let Them Eat Corn
First Crow, First Raven, First Human: The Still
Magpies?
My Mother, My Bookcover …
Superman and the Great Diamond Ruse
Quartz: the Series
Quartz: the Series – Part 2
The Ants Go Marching…and marching…and marching
Crows—Inspiring Painters for 15,000 years
Eating Crow: On the Menu Nevermore
Rockin' on down the road to Enlightenment..
Songs from the Universe
The Temple of My Imperfection – 2019
Wild Law, Earth Law—a profound equality
The Keystone Pipeline and Eminent Domain: legal theft of private property
Mary C Simmons
Catching The Wind
"Husband!" Rika shrieked as she dropped to the tree house deck. "JoEd's flown off again! I just don't know what to do with him! He won't mind, he won't listen." She paced back and forth, flapping her wings. "Every single time I turn my back, he's gone. I cannot keep my eyes upon him every second! He's not the only fledgling I have to look after!"
"He's a chip off the old block, my love," Charlie said, following her around the deck. "My mother pulled her feathers out over me, too. The nest has gotten too small for him, I reckon. But let me take him off your wings for the rest of the day. I'll show him a bit of the outside world."
Charlie flew off looking for his errant son and found him on the riverbank. Though a plethora of dead fish and other delectables littered the river's edge, JoEd was not interested. His eyes were upon the city across the river. Charlie knew that look; he'd had it himself. Our JoEd will be leaving us soon. I must prepare Rika.
"Zazu!" JoEd cried when he saw Charlie. "I wanted to see what was beyond the nest, and I flapped my wings one or two times, and here I am! Look at that!" He pointed a wing toward Downtown. "Someday I want to go there, Zazu!"
Charlie grinned at little JoEd and said, "And someday you will. But today, let's fly all the way around Cadeña-l'jadia."
As father and son flew off together, Charlie remembered how his curiosity had nibbled away at his common sense when he was JoEd's age. Thank the Orb his mother sent him to Starfire when she did. JoEd should begin his training soon; no use letting all that energy go to waste.
"This is Cadeña-l'jadia," Charlie told JoEd as they rose above the treetops of the island. "Your homeland and your heritage."
They flew around the southern tip of the island and headed upriver toward the bird sanctuary, a very popular place for not only migratory birds, but island and city birds as well. Charlie and JoEd landed in a tree and watched the panorama in front of them.
Shorebirds of all sizes littered the shallow quiet water; waders, fishers, skimmers, and a dozen or so white pelicans fished from the bank. Rowdy groups of crows and magpies flew in and out of the trees that lined the banks, swooping down from time to time to catch a mouthful of fish the pelicans inadvertently let fall out of their beaks. A group of loons played a noisy game of splash-tag, beating the placid water into a tempest as they belted out insults to each other in melancholy voices. Waves fanned out in all directions and struck the shorelines with a slurping sound.
"Nice job Jayzu did, eh, JoEd?" Charlie said to his son.
"What did he do, Zazu?" JoEd asked.
"Well, he and his friends moved some boulders around a bit so that this large pool would form, and all these birds would have a place to feed and hang out."
"Why did they do that, Zazu?"
"Jayzu loves birds," Charlie said. "He is Patua', like Bruthamax was. He knows this island belongs to birds."
Father and son flapped their way to the edge of the pool, where they both found more than enough morsels of fish to fill their stomachs. "Shall we?" Charlie said, gesturing toward the sky with his head.
"Let's!" JoEd jumped into flight, following Charlie as he flapped up to the limestone cliffs. Vertical and horizontal fractures split the cliff face, creating rectangular patterns of rock and shadows. They came to a landing on a ledge near a great fissure in the cliff wall. "I can feel air coming out!" he said, his beak turned toward the dark cleft in the rock.
"There are many caves in these cliffs, JoEd," Charlie said. "They go way back underneath the island—and some are joined together by tunnels. Bruthamax lived in these caves during the cold time of year. But he used them year-round to travel back and forth between his tree house and his other house on the other end of the island."
They watched a raven glide into an upside-down V-shaped crack in the cliff. "Is there a nest in there?" JoEd asked.
"Probably not this time of year," Charlie said. "Though the ravens roost in these cliffs year-round. But don't go looking for them! They like their privacy and won't take kindly to a young crow sticking his beak where it doesn't belong."
Charlie leaped off the cliff flapping his wings, and JoEd followed. As they flew out over the river, the sight of Downtown in the morning sunlight captured JoEd's attention, and he could not take his eyes off it.
"That is where your mother hatched, fledged, and lived until I brought her to Cadeña-l'jadia," Charlie said, dipping a wing toward Downtown. "See those green trees over there, next to that really tall building? That's where your weebs and I met."
He remembered how Rika had knocked him beak-over-feathers the first time he had ever laid eyes on her. She was a beauty. Fredrika Eliza Katarzyna Antonina Stump was her given name, but she was known to everyone simply as Rika. It was love at first sight. When Rika called his tune, he came dancing.
JoEd could hardly take his eyes off the sparkling jewel across the water as they continued their journey upriver. On and on, flying close to the sheer limestone cliffs that rose right up out of water. Father and son played in the gentle, capricious winds that blew constantly downriver from the north.
"Watch me, Zazu!" JoEd said as he caught an updraft.
Charlie shouted, "No! JoEd! No!" But it was too late.
"Whooooaaaaa!" JoEd cried out as he shot upward like a rock from a slingshot.
"JoEd!" Charlie shouted, looking all around for his wayward son. "JoEd!"
But there was no sign of the young crow.
JoEd struggled for consciousness. A large black figure hovered over him, but he just couldn't focus on it. That's one big raven. Struggling to his feet, still woozy from having the wind knocked out of him, JoEd realized this was no raven, but a human all dressed in black, except for the streak of white hair on his head. He must have some corvid in him. He looks like Starfire.
He cast a blue eye upward at the beakless black bird above him. JoEd's head cleared, and he leaped to his feet as he cried out, "Jayzu! It's me, JoEd!" He put out a wing in greeting.
"JoEd!" Jayzu said as he brushed his hand across JoEd's feathers. "Grawky! You are a long way from the Treehouse."
"I am!" JoEd said, puffing up his chest. "My zazu and I flew all the way here!" He stopped for a moment and shook his head. "Wait a minute! Where's my zazu? We were just looking at the raven cliffs! Where did he go? How did I get here?"
"Well, I do not know, JoEd," Jayzu said. "You just fell out of the sky."
JoEd looked confused for a few moments. "Ohhh," he said, nodding his head. "I remember now. I was riding a jaloosie. Which way are the cliffs, Jayzu? I need to find my zazu!"
"That way," Jayzu pointed. "It is not far."
JoEd flew up over the trees. The river shimmered blue and white in the afternoon sun and in the distance, he saw a single black speck flying back and forth. "Zazu!" he shouted and flapped his wings as hard as he could.
"Zazu!" he called out as he flew until Charlie was close enough to hear him.
"JoEd!" Charlie said angrily as they met in the sky. He smacked his son with a wing, nearly knocking him out of the sky. "You scared the beezle out of me! Where in the Orb have you been?"
"I'm sorry, Zazu," JoEd said. "The jaloosie flung me all the way to Jayzu's house!"
"Jaloosies can turn you into jelly," Charlie said sternly. "Especially the ones along the raven cliffs—they're killers, and you should stay away from them. Let me show you a couple of tricks, but let's get away from the cliffs."
JoEd and Charlie continued flying upriver, following the riverbank. They cut across the little inlet and rounded it. "The jaloosies here are not as wild," Charlie said as he caught one and whooshed upward. He flipped himself out of the thermal and returned to JoEd's side.
"Now you try it," Charlie said. "Jump in like normal, but don't let the jaloosie grab you! Get right back out. Like this!" He jumped into another jaloosie and somersaulted out of it in a mass of feather and beak that somehow righted itself into JoEd's otherwise unruffleable zazu.
"Try it!" Charlie said.
JoEd leaped into the jaloosie and felt it tumble him backward, but he did not let it take hold of him. He darted sideways, shrieking as he tumbled tail over beak.
"After you practice awhile," Charlie said, "you can do more than one flip-out. Watch this!" He rolled into the jaloosie, which spun him around like a top before releasing him.
"I want to do that!" JoEd cried out. He jumped in the way Charlie had and laughed all the way through four revolutions. "Wow! Zazu!"
"Hey there, Flyboy," Charlie called out after a few more spins in the jaloosies. "Let's go home! Your mother is probably imagining us both dead somewhere."
"Okay, Zazu," JoEd said. The young crow looked down at the island as they winged homeward. "Look! There's the Treehouse, Zazu! It is so small!"
Catching the Wind opened with eighteen of Jade Matthews' paintings at Jena McCray's eclectic gallery in Downtown Ledford. Jena's place attracted a broad range of buying clientele. The reception she put together was incredible—simple and elegant, with enough wine to get people talking and loosen their checkbooks, but not so much as to promote accidental drunkenness.
Russ was enormously handsome in his tux, and Jade was touched that he was so willing to put on the dog for her night. Nibbling nervously on one of the exquisite canapés Jena had provided, she could hardly catch her breath. So many people wanted to talk to her, tell her how much they loved her work, how it spoke to them in ways that art never had before. And here I thought this would be my final, solitary journey into the bourgeois.
"Jade, dahling, it's so mah-velous to see you. Mwa. Mwa." A woman with penciled-in eyebrows and flaming red hair had appeared, kissing the air in front of each of Jade's ears.
"Hello, Twyla," Jade said, smiling as cordially as she could. Twyla Spitzwater was the art critic for the Sentinel, well known for her scathingly sarcastic articles.
"She likes being known as eccentric," Jena had told her before the reception, "without actually being so. In her youth, she was very attractive, but alas, Twyla is a woman who cannot bear to age gracefully. She's going kicking and screaming."
"Speaking of bourgeois," Russ said into his wine glass. Jade jabbed him in the ribs with her elbow.
"I'm so glad you could make it to my opening," Jade said.
She tried not to stare at Twyla's outlandish appearance. Her overly dyed hair had taken on the texture of a bird's nest, and a layer of powdery makeup caked heavily on her cheeks only called more attention to her undulating wrinkles. Impossibly thick false eyelashes looked like caterpillars above her eyelids. Her lips were painted a brick-red color, outlined in black.
"Tell me about Catching the Wind," Twyla said as she sipped her wine and looked at Jane over tinted glasses shaped like cat's eyes. "Why that title?"
"I took a hiatus from painting for several years," Jade said. "Most of the paintings in this show are the first gust, so to speak, since I've returned to painting. The wind that used to drive me still blows. I'm trying to catch it."
"Interesting," Twyla said. She pinched a morsel off her plate between long, spiky fingernails painted to match her lips and plopped it quickly into her mouth. "Would you hold this a moment, dear?" She handed Jade her canapé plate and wine glass as she scribbled a few notes in a small pad. She looked back up at Jade over her glasses. "And why had you stopped painting?"
Jade felt like she was being probed for a soft spot, a sign of weakness. She didn't want to tell Twyla that she had been in a state most of the world would call temporary insanity. Or that she had quit eating and sleeping, and had wandered nomadically through foggy memories and dreams.
"I stopped hearing the wind." Jade hoped that would be enough. Twyla nodded and scribbled some more in her pad.
"And why did you stop hearing the wind?"
"Isn't Jade the most exciting artist we've seen in a long time?" Jena said as she put her face in between Jade and Twyla. "It is so unusual," she continued, "to sell half the show at the artist's reception. Especially a new artist on the scene. Don't you agree, Twyla?"
"Indeed," Twyla said as if she thought the opposite. "I always love to introduce new talent to the community."
"That was the purpose of having her show at my gallery," Jena said sweetly. "I hope you'll give Jade a nice write-up in your column on Sunday. Meanwhile, forgive me for interrupting, but several of my customers want to meet Jade. I am afraid, Twyla, that I must steal her from you."
Jade handed the wine glass and canapé plate back to Twyla, and Jena whisked her away. "You are a smash hit, my dear!" Jena said as they left Twyla scowling. "She likes your work, I can tell that. And you too. It'll be interesting to see what she writes in her column on Sunday. But promise me you will not take anything negative she might have to say personally, okay? She'll throw some darts at me, but I don't care what she thinks. It's my gallery. And I'm ecstatic."
Jade nodded, wondering why anyone would not like Jena. Her gallery was fabulous, and she was very successful.
A wealthy client of Jena's, a woman in her fifties, stood before Catching the Wind, the title painting of the show. "Gabrielle, let me introduce Jade Matthews, the artist," Jena said.
The woman turned and gushed enthusiastically as she took Jade's hand. "I'm so pleased to meet you! I just love your paintings, Ms. Matthews. The colors and the richness! I can just feel the crisp air in this one." She gestured toward Catching the Wind. "I can almost hear the wind blowing those leaves along the pavement! I don't know how you do it!"
"Thank you," Jade said. "I heard it too—the wind. I'm glad to know it comes through."
"Oh," Gabrielle said, "it does. I've never experienced anything like it from a painting. You are uniquely talented, Ms. Matthews."
"Perhaps you should hang it next to this one," Jena said, directing the woman's attention to Leave Me. "The two together would be lovely, don't you think?"
Leave Me, a playful celebration of leaves falling from trees, leaves blowing around, and leaves collecting on doorsteps, captured the vivid reds and yellows of the summer sun. Leaves fell from their trees, playfully riding the winds of fall, oblivious to the coming winter's death.
"But that means I must buy two!" the woman said.
"Exactly!" Jena said, and both women laughed.
Jade laughed too, though nervously.
"Well," Gabrielle said, "they do look lovely together. All right! You talked me into it, Jena! I was going to buy another one anyway—that sweet little one of the crows dancing around the birdbath—but my husband absolutely loathes crows, and I'm afraid I would never get it into the house. How much do I owe you?"
Alfredo walked from the docks at the Waterfront where the Captain had left him to Jena's gallery on Pomegranate Street. When he arrived, several dozen people chatted while helping themselves to the food and drink. He walked in and stopped dead in his tracks, chilled to the bone by the face in the painting across the room.
It is Charlotte …
The eyes dragged him forward until he stood before her, enthralled and astonished. Painted with the palest hues of pink, blue, and green, those eyes pulled him into the patterns and promises of another world on the other side. He wanted to get closer and closer, dive into them, bask in days of warm sunshine and nights of star-sprinkled heaven.
He looked at the title of the painting. Ave, Madre.
Hail, Mother. Jade's mother, Charlotte. Of course. Though she doesn't look anything like her. He turned and scanned the crowd, trying to find Jade.
"Father Manzi!" Jena cried out, waving as she approached with Jade. "What a pleasure to see you!" She gave the priest a quick hug and said, "Please let me introduce the artist, Jade Matthews."
"Alfredo!" Jade said and took his hand. "I'm so happy that you came! Russ is here somewhere, as are Sam and Kate."
"Here I am!" Sam said. "And here's Kate!" Jade greeted Kate with a hug and Sam with a playful punch to the shoulder.
Alfredo said, "My pleasure, Jade."
"I see you all know each other," Jena said.
"Yes, I know Sam from way back," Jade said. "But Alfredo and I have only recently met. He's a colleague of my husband's in the biology department at the university. But I had no idea he's an art collector!"
And I had no idea Charlotte is your mother. Alfredo felt suddenly lightheaded and inhaled slowly, trying to keep his thoughts from running away. And you are Patua', of course! The crow spoke to you in the chapel garden, not in English, but Patua'!
"One of my gallery's best clients!" Jena said.
"When St. Sophia's was remodeled," Alfredo said, "they needed new paintings of the Stations of the Cross. Jena helped me find interested artists. I simply recommended them to the monsignor."
"Oh, you're too modest!" Jena said, giving Alfredo a gentle shove. "That was quite the largesse for a number of our local artists. But aren't Jade's paintings just fabulous?" She turned and gazed at Ave, Madre. "I feel like I'm gazing into my own mother's eyes."
Alfredo looked again at Ave, Madre and then back at Jade. Her blonde, curly hair and green eyes did not remind him in the least of Charlotte's pale gray eyes and long, straight black hair. But there was something about her face that did.
"This one's my favorite," Sam said, gesturing toward the painting next to Ave, Madre. "Winter Wonderland. You got amazing depth in just two dimensions, Jade. Incredible."
A sunbeam coming through a window illuminated the particulate matter floating in the air. The rich, exquisite surface of many brush strokes pulled the viewer into the warm light, where images of flowers and dragonflies floated on warm, lazy breezes.
"That's what the world outside my studio looked like one day last winter," Jade said. "There was this amazing sunbeam. The contrast was exquisite—the sparkling clear landscape covered with snow outside, and a mosaic of color in the dust particles of the sunbeam inside. I couldn't resist."
"Truly superb, Jade," Alfredo said. "I feel like I am gently falling through stardust. You manage to evoke many senses beyond the visual."
"Willow B," Kate said, pointing across the gallery to the painting of a gray cat. "That's my fave. It's like you can almost walk into it; the mounds of fur seem like trees. Oh! And the little critters running around everywhere. I just love them!"
Jena excused herself to attend to a refreshment issue. Sam and Kate wandered off toward Willow B, leaving Alfredo and Jade alone.
"You truly have a gift," Alfredo said to Jade. "Your paintings are simply magnificent." He turned toward Ave, Madre. "She is your mother?"
"I don't know who my mother was," Jade said with a shrug, facing her painting. "This woman is from my imagination. Or perhaps one of my dreams. I was an orphan, and you know what they say about us—always looking for our quote-unquote real parents."
"I am sorry, Jade. Losing your mother must have been difficult," Alfredo said. "We all long for the Holy Mother who nurtures us all. Perhaps orphans feel her presence more acutely than the mothered."
Jade shrugged again. "I never knew her. I was a foundling, as they say. She's my fantasy mother." She pointed at her painting. "My real mother left me in the woods in a basket with nothing but a blanket. And that strange medallion like the one you have." She smiled without joy. "To haunt me."
Alfredo touched her arm sympathetically. Yes, Jade, your mother had one of the orbs. And she is Patua'. As you are.
"Fortunately, there was a happy ending," Jade said with a smile as she patted his hand on her arm. "I was raised by foster parents whose love and nurturing are one reason I'm here today in this gallery full of my paintings. And Russ is the other."
"Other what?" Russ said, suddenly appearing by Jade's side.
"My other husband," Jade said with a wicked smile. "I was just confessing my bigamy to Father Alfredo."
Alfredo laughed and said, "Jade was telling me how grateful she was to have such a supportive and nurturing husband."
Jena McCrae strode toward them and pulled Jade away. Without apology, she said over her shoulder, "Sorry, gents. Another sale on the horizon!"
Russ wandered off toward the refreshment tables, leaving Alfredo to stroll alone through the gallery, admiring Jade's paintings and mentally arranging his finances in consideration of purchasing Ave, Madre. He spotted Kate by herself in front of a large painting and walked over to her.
"Jade's so talented," Kate said as they stood together in front of Falling Backward. "She said this came from a dream she had about falling from the sky into a pool of water."
"Yes, she is," Alfredo agreed. "She is gifted with a sight most of us do not have."
"Thank God for artists, eh?" Kate said.
"Indeed." He looked over his shoulder, making sure no one approached. "Kate, I need some lawyerly advice. How would one go about getting someone released from Rosencranz?"
"The mental hospital?" Kate asked, raising her eyebrows.
"Okay," she said slowly. "And who may I ask wants whom released?"
"I do," Alfredo said. "She is a friend of mine."
"And why do you want her released?"
"Because she is not crazy."
"Then why is she there?" Kate asked.
"As far as I can tell," Alfredo said, hesitating before replying, "it is just a language issue. She cannot speak English."
Kate looked at him intently. "Can we go outside and chat, Padre? I'm in sudden need of fresh air."
Alfredo followed her out the door and onto the sidewalk. "Truth time, Padre," she said. "What exactly is this language issue?" When he didn't answer, she bit her lower lip and nodded slowly. "I see. It's the language of the crows, isn't it?"
He stared at her in shock. Did Majewski show her Bruthamax's letter? Did Sam tell her?
"For God's sake," Kate said, "I'm not an idiot. Do you think I can't put two and two together? 'The corvid have an extensive vocabulary'—your own words, no?"
Several people came out the door of the gallery. Kate started walking down the street, pulling on Alfredo's sleeve. "Padre," she said. "I know. I know about you. I know about Sam. And I know about the Captain. So, drop this charade, okay?"
"B-but, how?"
"I suspected as much," she said. "But Sam told me."
"Sam told you?" Alfredo felt deflated, his façade breached.
"Yes," she said. "I forced it out of him. First I tricked him into telling me about you." She laughed at Alfredo's shocked expression. "Oh, stop! I'm a lawyer; that's what we do!"
Kate took his arm, and they walked slowly back to the gallery. "And then he let it slip that he'd been to the island once before you hired him."
Alfredo nodded. "He mentioned that to me too, but he did not seem to want to talk about it."
They stopped at a traffic light and waited for the pedestrian light. A paper cup flew out of a passing car, striking a vehicle parked next to the curb. "Got one!" a voice yelled as the brown liquid dripped off the hood.
"People!" Kate said shaking her head. "No freaking manners."
The light turned, and they stepped into the street.
"Sam brought his twin sister's boyfriend Andy, whom we know as the Captain, to the island a few years ago," she said after they had crossed. "Sam's father had beat him nearly to death before throwing him in the river to drown."
Alfredo stopped and stared at Kate. "Oh, dear Lord!" he gasped. "The captain? But why?"
Kate nodded. "Sam's sister was pregnant with his child. She hung herself, thinking Andy was dead."
Alfredo gritted his teeth against the surge of anger in his chest, and his eyes burned with hot, stinging tears he would not let fall. He cried out in anguish, "God Almighty, can there be no end to the suffering of your innocent children?"
"I know," Kate said as she looked up at him. She took his hand and led him to a bench on the sidewalk. They sat side by side in silence while Alfredo struggled to compose himself. His heart ached for Sam, for the Captain, for Sam's sister, and her neverborn child.
He saw Charlotte wandering alone within the silent stone walls of Rosencranz. Dear Lord, please look after her until I can.
"I want to help you, Alfredo," Kate said. Her voice brought him back to the Downtown sidewalk. "And I want to help your friend. But you have to trust me. Does she speak the language of the crows? And is that really why she's in a mental institution?"
"Yes," Alfredo said, without hesitation. There was nothing to hide. Kate knew it all, apparently. He stood up and offered Kate his hand, and they resumed walking back to the gallery.
"Apparently about twenty five years ago," he said as they walked, "she lost the ability to understand human language. She is otherwise a very intelligent, lucid woman who has endured years of confinement and the abandonment by her family with amazing grace."
They stopped outside the gallery. "I have to get her out of there, Kate. It is unbearable for her." And me.
They sat down on a planter next to the door. Kate looked at him intently and said, "As your attorney, I must ask you this: are you in love with her?"
Alfredo frowned. "I do not know what that means, exactly. I feel great affection and attachment for her. I admire her and worry about her. I want her life to be better. I enjoy her company. Is that what 'in' love means?"
"If we're lucky," Kate said, smiling. "But what about romance? Have you two kissed or anything?"
Alfredo laughed. "No. The thought has never occurred to me. Nor to her, that I can tell."
"Like you would know," Kate said with a grin.
Alfredo frowned again. "I do not think I have romantic thoughts."
He had thought he was in love once, before seminary school. She was another graduate student in the department. Beth. But when she discovered his so-called gift, she freaked out and broke up with him. He had been crushed, though grateful she never told anyone about his crow-speech. But he had vowed never to let anyone know again. He buried himself in his dissertation, and after he was awarded a PhD, he immediately entered the priesthood.
"Friendship can be very romantic," Kate said. "But I had to check, you know, if anything else was going on. People do crazy things for sex."
A car drove by slowly. Music boomed out its open windows; a female voice screamed out the lyrics, something about love and pain.
"I have never participated in the sex act," Alfredo said, stiffly, feeling his face redden.
Kate cracked up laughing and hugged him. "Oh, Padre! That is what we hoped to hear from all our priests! But seriously, sex is wonderful! It's like a glue that holds two unrelated people together."
The door to the gallery opened, and several people walked out, discussing where to go for a drink. "How about the Saddle?" a man said. "No!" the woman on his arm said. "No sports bars!"
"So, where will you take her," Kate asked, after the group had passed, "assuming you can get her out of there?"
"I have not yet decided," Alfredo said. "But before I imagine myself and her at a bridge we may never cross, I want to find out if I can get her out of there at all. If so, I will find her a safe place where she will be happy. But not at my cottage, if that is what you are thinking."
"I was," said Kate. "What is her name, by the way?"
"Charlotte," Alfredo said. "Charlotte Steele."
After the last guest left the gallery, Jade and Russ stayed to help Jena tidy up while Sam, Kate, and Alfredo drove to the Double Elbow, a popular Downtown pub known for good beer, buffalo wings, and whose relatively quiet atmosphere made conversation possible. A few tables against the windows surrounded an interior dominated by two L-shaped bars with stools.
By the time Russ and Jade arrived, the others were already seated in a booth in the far corner. Sam poured them a beer from the pitcher on the table.
"I need man food," Russ said after he slid into place. "I must've eaten a hundred of those delicate little tea cakes or whatever the hell they served at the reception. Like eating air. A man needs meat."
Sam laughed and clapped his hands. Alfredo regarded Sam with a new sense of tenderness. He has endured much suffering. Grant him happiness now, Lord, with this loving woman, Kate.
"I hear ya," Kate said, giggling, "but we've ordered wings. Do real men eat chicken?"
"Whenever possible," Russ said with absolutely no expression on his face.
That seemed hilariously funny to everyone, except Alfredo. He smiled anyway, though he could not fathom what the joke was. His conversation with Kate had illuminated his alienation from his fellow humans, and he was envious of his friends' banter and easy enjoyment of each other.
The wings arrived, and for a few moments, everyone had their mouths full and their fingers covered in reddish-orange spicy sauce. "Ya know," Jade said between bites, waving a wing bone at her companions. "I only realized last year why they call these buffalo wings. I wondered for a long time how buffalos and wings could wind up being the same food. I just thought it was one of those things frat boys come up with, you know, for their keg parties—because it's more manly to eat buffalo than chicken."
Everyone chuckled, shaking their heads. Alfredo furrowed his brow and said, "I always thought they were wings of chickens from upstate New York. And I wondered what was so special about that. And how would we ever know if they did not come from Buffalo?"
"Thanks, Padre," Jade said as the rest of the group erupted in laughter. "I'm glad to know I'm not such a black sheep, that others think like I do."
"Not very damn many," Russ said with an affectionate nudge.
"Your husband speaks the truth, Jade," Alfredo said. "But in the end, we are all just strangers in a strange land, are we not?" We are Patua' in a strange land, you and I.
"Hear! Hear!" Kate said with mock sternness. "Let's not have such lonesome talk when there are friends all around. How about a tribute to Jade for a fantastic art show!"
They toasted Jade and each painting that sold. Alfredo had arranged with Jena to purchase Ave, Madre, but he did not tell Jade. She will see it hanging in my cottage. Or the chapel.
The waitperson brought a new pitcher of beer, and Alfredo filled everyone's glass. "Speaking of art and artists," he said when he finished, "I have been seeing flyers up around Downtown. Seems the Friends of Wilder Island are having an arts and crafts fair and art auction next weekend at the Waterfront."
"That's right!" Jade said. "Sam and I put a proposal in to Parks and Rec, and we got the permit that same day! The city loves people to come Downtown on the weekends—that's what they told us. They're trying to promote the Waterfront too. Sam and I are both contributing work to the art auction, and we have at least half of the artists saying they'll put stuff in too!"
Alfredo observed Jade intently as she spoke. Her eyes sparkled with excitement, and every once in a while he thought he caught a glimpse of her mother. He squinted his eyes and listened to the lilting quality in Jade's voice, so like Charlotte's.
"Perfect timing!" Kate said. "The city's going to announce their decision to condemn Wilder Island on Thursday."
"How do you know that?" Jade asked, tilting her head to one side and wrinkling her brow.
Alfredo almost laughed out loud. I have seen that exact expression on Charlotte!
"My vast network of spies," Kate said with a wink. "Seriously, there are no secrets among lawyers and politicians." She turned to Russ. "But we gotta be ready. You have things set up with KMUS, Russ?"
"Yes," he said. "The students at the university radio station are ready to roll on Friday night. They'll broadcast us live from the Waterfront. After we explain the issues—condemnation, eminent domain, and why we might want to keep the island the way it is—there'll be time for people to call in and comment or ask questions."
Their server came by the table and dropped off another pitcher of beer. He picked up the empty plates and napkins and left the check and several individually wrapped hand wipes.
"Hey," Sam said as he cleaned the red hot sauce from his fingers. "As long as we're on KMUS, how about we put on a beg-a-thon? Like they do on public radio, you know? I mean, we need to raise some bucks, don't we? We've made some money selling booths for the fair, and we'll make a little more from the silent auction. But we could rake in some serious money if we put on a beg-a-thon."
"What the devil is a beg-a-thon?" Alfredo asked.
Henry Braun applied for a parade permit, not coincidentally, for the same weekend as the Friends of Wilder Island Art Fair. Just as Kate Herron had her network of informants, so did Henry. He too knew exactly when the Mayor's announcement to condemn Wilder Island would occur. He planned to fire up the River Queen and start parading her past the city boat docks on both sides of the river for the entire weekend. There would be free food and drink for the crowds he hoped would gather on the docks to ogle his beautiful River Queen.
"You can't have the docks at the Waterfront," the city clerk said. "On account of the art fair. You can have the city boat landing on the other side, though."
"What art fair?" Henry growled.
"I just stamped their permit," the clerk said, rifling through the previous day's paperwork. "An outfit called the Friends of Wilder Island."
Who the bloody hell are the Friends of Wilder Island? They'd better not get in my way!
"Oh? Whose name is on the permit?" Henry said magnanimously as he pushed a five-dollar bill across the counter at the clerk.
"Let's see," he said, looking through the bottom half of his bifocals at the permit. He carefully ignored the bill on the counter. "Here it is. There were two applicants, Jade Matthews and Sam Howard." He scribbled the names on a scrap of paper and pushed it and the money toward Henry. "There is no charge for this information, Mr. Braun." The clerk looked over his shoulder and smiled at the video cameras behind him.
"Thank you," Henry said cordially as he pocketed the bill.
He walked out of City Hall and stepped through the open door of his Bentley and into the backseat. Jules Sackman sat waiting for Henry, sipping a latte and reading the newspaper.
"Who the hell are these people?" Henry Braun growled to Jules as the car pulled away from the curb. "Friends of Wilder Island?"
"Everything is named after the island in this city, Henry," Jules said, sipping his latte. "Don't let that make you paranoid. Probably just a band of dilettantes and their gigolos."
"I don't want probably, Jules. I want facts. I want answers," Henry growled. "Who the hell are Jade Matthews and Sam Howard? And who's behind them? A bunch of bleeding-heart, liberal tree-huggers, I bet."
Alfredo spent the night at St. Sophia's, as it was too dark to return to the island after he left his friends at the Double Elbow. He tossed and turned, unable to find sleep. He missed the sounds of the night on the island, and the evening's revelation kept his mind running. Charlotte is Jade's mother! The knowledge filled him with a strange mixture of dread and excitement.
How old is Jade? Early twenties, I would guess. Was Charlotte pregnant when she was taken away? Did she give birth at Rosencranz? Dora Lyn had not been able to find Charlotte's file at his last visit, which he thought would tell him everything he needed to know about Charlotte's arrival, treatment, and residence at Rosencranz.
The headlights from a passing car infiltrated the gap between the curtains, sending a geometrical pattern of light and shadow darting across the ceiling.
Charlotte never mentioned a daughter. He frowned in the darkness. Maybe she's not Jade's mother after all. He turned over in bed again, his back to the window.
He slept fitfully, disturbed by vague dreams of a blindfolded Charlotte with arms tied behind her back, and a baby in a basket crying faintly. He woke up feeling as if he had not slept at all.
He left the rectory at St. Sophia's as soon as the sun came up and found the Captain and Sugarbabe docked at the Waterfront. Funny how they always know when to pick me up.
"It ain't rocket science," Sugarbabe squawked. "We left you here yest'aday. You didn't g'home last night. Where else would y'be at this hour, than here wantin' for a ride?"
The Captain chuckled and gave his crow a treat from his shirt pocket. He pushed the boat out into the river. Alfredo wondered again how old the Captain was; his craggy and sun-wrinkled face somehow defied age. How many years ago was he left for dead in the river? Sam was in his mid-thirties, he knew. But the Captain seemed far older. "How long have you been running the river, Captain?"
The Captain looked up at the sky for a moment and then at Alfredo. "Many years. I forget." His face seemed to cloud over, and he turned his eyes back to the river.
Alfredo left the Captain in peace and inhaled the cool, clear morning, reviving his sleep-deprived body. The river's flat and calm surface reflected the forest and sacred chapel of Cadeña-l'jadia like a mirror.
"Ah, Bruthamax's Roost," Sugarbabe said. "'Tis always a beautiful sight."
Alfredo nodded. "That it is."
He bid farewell to the Captain and Sugarbabe, and entered the thick forest. He smiled up at the birds flying through the branches of the trees and walked the path to his cottage. It was good to be home. He opened the doors and windows to the fresh air and then left to find Charlie.
He walked past the chapel and down to the point where Charlie pecked at his lunch from the cracks and crannies of rocks and driftwood.
"Grawky, Jayzu!" Charlie said. He cleaned his beak in the sand and hopped up onto the driftwood log where Alfredo had seated himself.
"Charlie, I have reason to believe Charlotte has a daughter!"
The crow shook his head. "How do you know this?"
Alfredo told him about Jade's painting of her unknown mother that bore an uncanny resemblance to Charlotte. "And she has that orb."
Charlie paced back and forth across the log. "Well, I guess it's possible. In the half a year before they took her away, I was in Keeper training then and couldn't visit her." He stopped and looked at Alfredo. "But Charlotte has never mentioned a child?"
"No, but she seems to have forgotten a great deal of her life." Alfredo gazed across the river for a few moments. "I wonder … could the stress of a difficult childbirth have caused her to forget her native human language?"
"I don't know," Charlie said. "I have an archive session with Starfire tomorrow. Perhaps he will know the answer to that. He has known of a few Patua' who faded into the Graying. At the very least, he will be very interested in adding a new Patua' to the database. And that she has one of the orbs."
Charlie flew off, leaving Alfredo alone on the log. He watched a few crows flipping themselves through the jaloosies out over the river. Sometimes I wish I were one of them. So free of the madnesses we humans have created.
ww.amazon.com/Corvus-Rising-Book-Patua-Heresy/dp/0991224515
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There are so many casserole recipes out there it can be hard to know what to choose if you fancy something warming this week. This recipe using beef, mushrooms and thyme is a classic combination that makes this classic slow cooker recipe a dinner staple.
Preheat the oven to 140 C, 120 C fan, 275 F, gas 1.
Heat 2 tablespoons of oil in a hob- and oven-proof casserole dish. Cook the meat in batches over a medium to high heat until it's browned, then set aside.
Heat the remaining oil, if needed, in the casserole. Add the onions, garlic, carrots and celery. Cook for five minutes, then return the beef to the pan with the flour. Stir and cook for a few minutes. Add the herbs, anchovies, sherry, stock, wine, tomato purée, nutmeg and pepper. Bring to the boil, then cover and place in the oven for 3 hours 30 minutes.
Add the mushrooms to the casserole and return it to the oven for a further 30 minutes. This is delicious served with a bowl of creamy mash and green vegetables.


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Home > Sports > Wrestlers shine and get some needed support
Wrestlers shine and get some needed support
by Paul Graif - March 7, 2017 June 10, 2018 0193
KSS Wrestlers Winter Goodleaf receiving the silver medal and Sabrina Montour receiving the bronze medal at Provincials in St-Cesaire. (Courtesy Peter Montour)
Simply put, it was a great week for the Kahnawake Survival School wrestling team.
The school brought 29 wresters to the Provincial Championships in St. Cesaire last weekend, and the boys and girls in silver and burgundy came home with nine gold, 10 silver and 4 bronze medals.
Coach Peter Montour was happy that he was able to get so many involved.
"It was an 80-group tournament," Montour said. "So most of our athletes could wrestle at their natural weight. And we brought the whole team between eight and 19 years old.
"It's really cool to watch because they all support each other. They are backing them up, the older ones taking the kids off to the side and teaching them things and also watching over them. It makes the little ones feel part of the same team as some of their heroes."
One of those veteran wrestlers was Kannekihonstha Norton Montour. The 11th grader can now call herself a provincial champion.
"I was happy. It's always fun to win gold," said an understated Norton Montour. "I don't like to brag."
But brag she should. She had to jump up a weight class to 66 kilos, but still dominated right through.
"Normally I wrestle at 60 kilos," Norton Montour said. "But I wasn't nervous because I had to wrestle those girls before in Junior AA's."
Norton Montour is just one member of a team that has taken over the KSS mantle from the boys as the team to beat in the Greater Montreal Athletic Association (GMAA).
"All the girls are always at practice and we always put 100 percent in," Norton Montour said. "We make sure we're doing our best. But we always have even if we are committed to winning."
Kawennihtha Kirby is also part of that growing tradition.
"The locals were saying it used to be the boys that KSS wrestling was known for," Kirby said. "But now it's also the girls and getting the banners is really great. I'm proud to be part of a team that is known for that."
Kirby had to go through her own team in order to capture the gold in the 60 kilo class.
"It's my last year for wrestling in Juvenile," Kirby said. "It went okay even though I had to face Wenhniseriióstha Goodleaf in the final. Your teammates know your strengths and weaknesses so it makes it difficult to win."
Kirby said it almost felt like a practice. But going up against the best every day makes you better.
"Yeah it was special since it was my last year," Kirby said. "I was very happy with that. Champion at 60 (kilos)."
Now it's off to the Cadet Juvenile Championships the first weekend of April in Windsor, Ontario.
"We have 10 wrestlers who are on the list. But we don't know if we have room. That's because we will need $10,000 for that alone," Coach Montour said.
That's where the second piece of great news came in for the squad. Kaienta:a Cross made a $5,000 donation to the team at the their practice on Monday.
"It was great," Montour said. "This is always a stressful time of year because we are fundraising for nationals. This year is a big year."
A month from now it's off to the Canada East Championships in Moncton, New Brunswick.
"With him giving $5,000 it's a big push in that direction," Montour said. "He's one of those guys that whenever we are stuck he comes in big for us."
Kirby hopes that this is finally her year at Nationals.
"I'm very excited this year," Kirby said. "Hopefully a medal. I placed top-six all three years prior."
Norton-Montour keeps improving year after year.
"My first year I was done after one match," Norton Montour said. "Last year I got fifth and won four straight matches before losing."
With the way the KSS girls have been performing it wouldn't be difficult to see her finally climbing up that podium.
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March 19, 2018 June 10, 2018 063
Billings face Beaconsfield in lax final today
Kale Kane's Chiefs move on to final round


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Gonzaga Senior Paige Bruland Profile 2021
For Paige Bruland: 'Your Major Isn't as Major as You Think'
By Hunter Hauser ('23) for Gonzaga News Service
SPOKANE, Wash. — Gonzaga University senior Paige Bruland, who graduates in May with a major in human physiology and a minor in Spanish, has been passionately involved in the Gonzaga community as a cheerleader, blogger, and her specialty: social media.
"I have run the Gonzaga cheerleading Instagram for the last three years," Bruland said. "It has helped me collaborate with Kennel Club members, Kennel Board, Bomb Squad, and the Dance Team to do fun promotional events and TikTok."
Bruland has been involved in cheerleading since April of 2017, working her way from the bottom of the tryout list to the cheer team captain her senior year. It has provided her with many leadership and professional skills through the various cheer activities.
"It has helped me personally with every aspect of life," Bruland said.
Another aspect of her life that sparks joy is blogging. Bruland originally messaged Spokane Eats & More, a blog in Spokane, to inquire about becoming an intern to identify more gluten-free restaurants in the area. She wound up falling in love with her role, which has expanded to incorporate her writing and photography.
"My role with Spokane Eats ultimately showed me how much I love marketing and social media, and was the main factor that helped me decide to choose a job in this realm after school — instead of PA (physician assistant) school," said Bruland, who had applied to three schools for graduate work and was accepted into Texas Tech University.
"However, over Christmas break, when I got in, I had an epiphany and realized I did not want to go to PA school," said Bruland. Instead, she's pursuing a career in social media that aligns with her delight in creating and sharing web content.
She recently committed to her first full-time marketing job for a study abroad agency in Boston, and begins June 21.
Bruland credits Gonzaga with playing a big role in her career, noting that the rigor and discipline of earning a human physiology degree was "no easy feat" and has helped prepare her for the future.
"Human physiology has been the most challenging, rigorous work I could have probably picked for myself, but the support from my classmates and the professors is unmatched," said Bruland, who remains grateful for the relationships she formed at Gonzaga, calling them her biggest accomplishment.
"I would not be where I am or who I am without them," Bruland said.
She aspires to open her own business. She wants to create a gym/fitness studio with a juice bar and foods that fit her gluten-free appetite. The business will incorporate all passions in her life from marketing to human health and physiology.
One tip Bruland offers to other Gonzaga students resonates with the wisdom acquired from her own career path: "Your major isn't as major as you think."
For Paige Bruland: 'Your Major Isn't as Major as You Think'
Theater, Dance Alums Shine in New York City
The World of My Heart


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Press release April 28, 2021
Adopting the Halo Code to end hair discrimination
We are pleased to announce that we are one of the first businesses in the legal sector to sign-up to the Halo Code, the UK's first Black Hair code.
The Halo Code explicitly protects employees who come to work with natural hair and protective hairstyles associated with their racial, ethnic, and cultural identities.
By adopting the Halo Code, we are proactively taking a stand to ensure that no member of our workforce faces barriers or judgments because of their Afro-textured hair.
The Halo Code:
"Our workplace champions the right of staff to embrace all Afro-hairstyles.
We acknowledge that Afro-textured hair is an important part of our Black employees' racial, ethnic, cultural, and religious identities, and requires specific styling for hair health and maintenance.
We celebrate Afro-textured hair worn in all styles including, but not limited to, afros, locs, twists, braids, cornrows, fades, hair straightened through the application of heat or chemicals, weaves, wigs, headscarves, and wraps. In this workplace, we recognise and celebrate our colleagues' identities.
We are a community built on an ethos of equality and respect where hair texture and style have no bearing on an employee's ability to succeed."
We caught up with three colleagues at Gateley to find out their experiences and what the Halo Code meant to them:
"My hair is a representation of Black history over time and is an expression of who I am as a Black woman. I'm pleased that Gateley have signed-up to the Halo Code and the message it sends to my colleagues and our clients. I have changed my hair in the past due to code switching to fit in, but I now celebrate my hair and bring my full self to work and am no longer diluting myself."
Leah Jeftha, Conveyancer
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Ugochi Nwabuikwu, Paralegal


text:
\section{Introduction}

Harmonic oscillator is a fundamental physical system and one of
the few which is solved exactly.
So it has been well studied not only for the system itself but also
for application to other physical systems.
The coherent state is defined as the eigenstate of the annihilation
operator~\cite{GLAUBER}.
It is a useful tool for study of the harmonic oscillator.
The properties of the coherent state are also well studied.

Extension of the coherent state to various systems has been made.
As for $SU(1,1)$ group, the Perelomov's generalized coherent state
is well-known~\cite{PERELOMOV}.
The treatment is very easy.
Extension of the generalized coherent state to a representation of
$U(N,1)$ has been made~\cite{RON:CPN}.
Making use of the coherent state, we have shown the
WKB-exactness~\cite{RON:SUTWO,RON:CPN}, which means that the WKB
approximation gives the exact result.
Also we have extended the periodic coherent
state~\cite{KASHIWA,RON:NR} to the ``multi-periodic coherent state''
of a representation
of $U(N,1)$ and have shown the WKB-exactness~\cite{RON:MULTIN,RON:MULTIC}.

There is another coherent state of $SU(1,1)$ which is known as the
Barut-Girardello (BG) coherent state~\cite{BG}.
The BG coherent state is defined as the eigenstate of the lowering operator.
The BG coherent state has a charasteristic feature.
The eigenvalue $K$ of the Casimir operator is valid for
$K>0$~\cite{BVM}, in sipite of the range of the representation of $SU(1,1)$
is $K\ge1/2$~\cite{WYBOURNE}.

Extension of the BG coherent state has been made to some
groups~\cite{DQ}.
In this paper we extend the BG coherent state to a representation
of $U(N,1)$ to examine the WKB-exactness and et al.

The contents of this paper are as follows.
In Section \ref{sec:cs} we compare the coherent states of the harmonic
oscillator, the Perelomov's coherent state and the BG coherent state.
We extend the BG coherent state and construct the measure in
Section \ref{sec:bgcs}.
In Section \ref{sec:pathintegral} we construct a path integral formula
in terms of the coherent state constructed in Section \ref{sec:bgcs}.
The last section is devoted to the discussions.

\section{Coherent States}\label{sec:cs}

The coherent state of the harmonic oscillator is defined as the
eigenstate of the annihilation operator such that
\begin{equation}
  \label{cs:hoteigi}
  a\ket{z}
  =
  z\ket{z}\ ,\
  \kakko{z\in {\bf C}}\ ,
\end{equation}
where $a(a^\dagger)$ is the annihilation (creation) operator.
Alternative expression of the coherent state is
\begin{equation}
  \label{cs:hoe}
  \ket{z}
  =
  e^{za^\dagger}\ket{0} .
\end{equation}
In the harmonic oscillator, both are equivalent.
The explicit form is
\begin{equation}
  \ket{z}
  =
  \wa{\infty}{n=0}{z^n\over\sqrt{n!}}\ket{n}\ ,
\end{equation}
in the standard notation.
The conditions of the ``coherent state'' in the Klauder's
sense~\cite{KLAUDER}
are as follows:
\begin{enumerate}
\item continuity: the vector $\ket{l}$ is a strongly continuous
	function of the label $l$,
\item completeness (resolution of unity):
\begin{equation}
  I
  =
  \int\ket{l}\bra{l}dl\ .
\end{equation}
\end{enumerate}

Now consider the extension to the representation of $SU(1,1)$.
$su(1,1)$ algebra is
\begin{eqnarray}
  &&
  [K_3,K_\pm]
  =
  \pm K_\pm\ ,\
  [K_-,K_+]
  =
  2K_3\ ,
  \nonumber\\
  &&
  K_\pm
  =
  \pm(K_1\pm iK_2)\ ,
\end{eqnarray}
and the representation is
\begin{equation}\label{cs:sudaisu}
  \{
  \ket{K,m}\vert m=0,1,2,\cdots
  \}\ ,\
  K\ge{1\over2}\ ,\
  \textrm{($2K$ is an eigenvalue of the Casimir operator)}\ ,
\end{equation}
which satisfies
\begin{eqnarray}
  K_3\ket{K,m}
  &=&
  (K+m)\ket{K,m}\ ,
  \nonumber\\
  K_+\ket{K,m}
  &=&
  \sqrt{(m+1)(2K+m)}\ket{K,m+1}\ ,
  \nonumber\\
  K_-\ket{K,m}
  &=&
  \sqrt{m(2K+m-1)}\ket{K,m-1}\ .
\end{eqnarray}
The extension of (\ref{cs:hoe}) is known as the Perelomov's
``generalized coherent state'', whose form is
\begin{eqnarray}
  \label{cs:pcs}
  \ket{\xi}
  \equiv
  e^{\xi K_+}\ket{K,0}
  =
  \wa{\infty}{m=0}\xi^m{2K+m-1\choose m}^{1/2}\ket{K,m}\ ,\
  \xi
  &\in&
  \kansu{D}{1,1}\ ,
\end{eqnarray}
where
\begin{equation}
  \kansu{D}{1,1}
  =
  \big\{
  \xi\in{\bf C}\big\vert\vert\xi\vert<1
  \big\}\ .
\end{equation}
The inner product is
\begin{equation}
  \braket{\xi}{\xi^\prime}
  =
  {1\over\kakko{1-\xi^*\xi^\prime}^{2K}}\ ,
\end{equation}
and the resolution of unity is
\begin{equation}
  \label{cs:pcsrou}
  {2K-1\over\pi}\int_{\kansu{D}{1,1}}
  {d\xi^*d\xi\over\kakko{1-\vert\xi\vert^2}^{-2K+2}}
  \ket{\xi}\bra{\xi}=1_K\ ,
\end{equation}
where
\begin{equation}
  d\xi^*d\xi\equiv\kansu{d}{{\rm Re}\xi}\kansu{d}{{\rm Im}\xi}\ .
\end{equation}

On the other hand, the extension of (\ref{cs:hoteigi}) is known as the Barut-Girardello
coherent state which satisfies
\begin{equation}
  K_-\ket{z}=z\ket{z}\ .
\end{equation}
The explicit form (apart from the normalization factor) is
\begin{equation}
  \label{cs:bgcs}
  \ket{z}=\wa{\infty}{n=0}{z^n\over\sqrt{n!\kakko{2K}_n}}\ket{K,n}\ ,\
z\in{\bf C}\ ,
\end{equation}
where
\begin{equation}
  (a)_n\equiv a\cdot(a+1)\cdots(a+n-1)\ .
\end{equation}
The inner product is
\begin{equation}
  \braket{z}{z^\prime}
  =
  \kansu{\Gamma}{2K}\kakko{z^*z^\prime}^{-K+{1\over2}}
  \kansu{I_{2K-1}}{2\sqrt{z^*z^\prime}}\ ,
\end{equation}
where $\kansu{\Gamma}{p}$ is the Gamma function:
\begin{equation}
  \kansu{\Gamma}{p}
  =
	\int^\infty_0dte^{-t}t^{p-1}\ ,
\end{equation}
 and $\kansu{I_\nu}{z}$
is the first kind modified Bessel function:
\begin{equation}
  \kansu{I_\nu}{z}
  =
  \kakko{z\over2}^\nu\wa{\infty}{n=0}
  {\kakko{z/2}^{2n}\over n!\kansu{\Gamma}{\nu+n+1}}\ .
\end{equation}
The resolution of unity is
\begin{eqnarray}
  \label{cs:bgcsrou}
  \int\kansu{d\mu}{z,z^*}\ket{z}\bra{z}=1_K\ ,
  \nonumber\\
  \kansu{d\mu}{z,z^*}
  =
  {2\kansu{K_{2K-1}}{2\vert z\vert}\over\pi\kansu{\Gamma}{2K}}
  \vert z\vert^{2K-1}dz^*dz\ .
\end{eqnarray}

In contrast with the coherent state of the harmonic oscillator,
(\ref{cs:pcs}) and (\ref{cs:bgcs}) are not equivalent.
Especially it is remarkable that (\ref{cs:bgcsrou}) holds for $K>0$,
while (\ref{cs:pcsrou}) holds for $K\ge1/2$.

\section{Extension of Barut-Girardello Coherent State}\label{sec:bgcs}

In this section we construct the BG type coherent state for some $U(N,1)$
representation and its measure.

$u(N,1)$ algebra is defined by
\begin{eqnarray}
  \label{ncp:daisuteigi}
  &&
  [E_{\alpha\beta},E_{\gamma\delta}]
  =
  \eta_{\beta\gamma}E_{\alpha\delta}
  -\eta_{\delta\alpha}E_{\gamma\beta}\ ,
  \nonumber\\
  &&
  \eta_{\alpha\beta}
  =
  \kansu{\rm diag}{1,\cdots,1,-1}\ ,\
  \kakko{\alpha,\beta,\gamma,\delta = 1,\cdots,N+1}\ ,
\end{eqnarray}
with a subsidiary condition
\begin{equation}
  -\wa{N}{\alpha=1}E_{\alpha\alpha}+E_{N+1,N+1}=K\ ,\
  \kakko{K=N,N+1,\cdots}\ .
\end{equation}
We identify these generators with creation and annihilation operators
of harmonic oscillators:
\begin{equation}
  \matrix{
    &E_{\alpha\beta}
    =a_\alpha^\dagger a_\beta\ ,&
    E_{\alpha,N+1}
    =a_\alpha^\dagger a_{N+1}^\dagger\ ,
    \cr
    &E_{N+1,\alpha}
    =a_{N+1}a_\alpha\ ,&
    E_{N+1,N+1}
    =a_{N+1}^\dagger a_{N+1}+1\ ,
    \cr
    }
\end{equation}
where $a$, $a^\dagger$ satisfy
\begin{equation}
  [a_\alpha,a_\beta^\dagger]=1\ ,\
  [a_\alpha,a_\beta]=[a_\alpha^\dagger,a_\beta^\dagger]=0\ ,\
  \kakko{\alpha,\beta=1,2,\cdots,N+1}\ .
\end{equation}
The Fock space is
\begin{eqnarray}
  &&
  \left\{
    \ket{n_1,\cdots,n_{N+1}}\vert n_1,n_2,\cdots,n_{N+1}=0,1,2,\cdots
  \right\}\ ,
  \nonumber\\
  \ket{n_1,\cdots,n_{N+1}}
  &\equiv&
  {1\over\sqrt{n_1!\cdots n_{N+1}!}}
  \kakko{a_1^\dagger}^{n_1}\cdots\kakko{a_{N+1}^\dagger}^{n_{N+1}}
  \ket{0,0,\cdots,0}\ ,
  \nonumber\\
  &&
  a_\alpha\ket{0,0,\cdots,0}=0\ ,
\end{eqnarray}
On the representation space it is
\begin{equation}
  1_K
  \equiv
  \wa{\infty}{\left\{ n\right\}=0}
  \ket{n_1,\cdots,n_N,K-1+\sum^N_{\alpha=1}n_\alpha}
  \bra{n_1,\cdots,n_N,K-1+\sum^N_{\alpha=1}n_\alpha}\ ,
\end{equation}
where an abbreviation
\begin{equation}
  \sum^\infty_{\left\{ n\right\}=0}
  \equiv
  \wa{\infty}{n_1=0}
  \wa{\infty}{n_2=0}
  \cdots
  \wa{\infty}{n_N=0}\ ,
\end{equation}
has been used.

We put the form of the coherent state as
\begin{equation}
  \label{bgcs:teigi}
  \ket{\mbox{\boldmath$z$}}
  \equiv
  \wa{\infty}{\left\{ n\right\}=0}
  \kansu{C_{n_1\cdots n_N}}{\mbox{\boldmath$z$}}
  z_1^{n_1}\cdots z_N^{n_N}
  \ket{n_1,\cdots,n_N,K-1+\wa{N}{\alpha=1}n_\alpha}\ ,
\end{equation}
to determine the coefficients $\kansu{C_{n_1\cdots n_N}}{\mbox{\boldmath$z$}}$'s
so as to satisfy the condition:
\begin{equation}
  \label{bgcs:jouken}
  E_{N+1,\alpha}\ket{\mbox{\boldmath$z$}}
  =
  z_\alpha\ket{\mbox{\boldmath$z$}}\ ,\
  \kakko{\alpha=1,\ldots,N}\ .
\end{equation}
By noting
\begin{eqnarray}
  a_\alpha\ket{n_1,\ldots,n_\alpha,\ldots,n_{N+1}}
  =
  \sqrt{n_\alpha}
  \ket{n_1,\ldots,n_\alpha-1,\ldots,n_{N+1}}\ ,\\
  \kakko{\alpha=1,\ldots,N+1}\ ,\nonumber
\end{eqnarray}
the explicit form of the left-hand side of (\ref{bgcs:jouken}) is
\begin{eqnarray}
  E_{N+1,\alpha}\ket{\mbox{\boldmath$z$}}
  \!\!&=&
  \wa{\infty}{n_1=0}\cdots\wa{\infty}{n_\alpha=0}
  \cdots\wa{\infty}{n_N=0}
  \kansu{C_{n_1\cdots n_N}}{\mbox{\boldmath$z$}}
  z_1^{n_1}\cdots z_\alpha^{n_\alpha}\cdots z_N^{n_N}
  \nonumber\\
  &&\times
  \sqrt{n_\alpha}\sqrt{K-1+\wa{N}{\beta=1}n_\beta}
  \ket{n_1,\ldots,n_\alpha-1,\ldots,n_N,K-1+\wa{N}{\beta=1}n_\beta-1}
  \nonumber\\
  &=&
  z_\alpha
  \wa{\infty}{\left\{ n\right\}=0}
  \kansu{C_{n_1\ldots\kakko{n_\alpha+1}\ldots n_N}}{\mbox{\boldmath$z$}}
  \sqrt{n_\alpha+1}\sqrt{K+\wa{N}{\beta=1}n_\beta}
  \nonumber\\
  &&\times
  z_1^{n_1}\ldots z_\alpha^{n_\alpha}\ldots z_N^{n_N}
  \ket{n_1,\ldots,n_\alpha,\ldots,n_N,K-1+\wa{N}{\beta=1}n_\beta}\ ,
\end{eqnarray}
where a shift $n_\alpha\to n_\alpha-1$ has been made in the second equality.
Thus (\ref{bgcs:jouken}) leads to a recursion relation:
\begin{equation}
  \kansu{C_{n_1\ldots \kakko{n_\alpha+1}\ldots n_N}}{\mbox{\boldmath$z$}}
  \sqrt{n_\alpha+1}\sqrt{K+\wa{N}{\beta=1}n_\beta}
  =
  \kansu{C_{n_1\ldots n_N}}{\mbox{\boldmath$z$}}\ .
\end{equation}
This is easily solved to become
\begin{equation}\label{bgcs:zenka}
  \kansu{C_{n_1\ldots n_\alpha\ldots n_N}}{\mbox{\boldmath$z$}}
  =
  \sqrt{\kakko{K+\wa{N}{\beta=1}n_\beta-n_\alpha-1}!\over
    n_\alpha!\kakko{K+\wa{N}{\beta=1}n_\beta-1}!}
  \kansu{C_{n_1\ldots0\ldots n_N}}{\mbox{\boldmath$z$}}\ .
\end{equation}
Application of (\ref{bgcs:zenka}) to all $\alpha$'s
$\kakko{\alpha=1,\ldots,N}$ leads to
\begin{equation}
  \label{bgcs:zenkatoki}
  \kansu{C_{n_1\ldots n_N}}{\mbox{\boldmath$z$}}
  =
  \sqrt{\kakko{K-1}!\over
    n_1!\ldots n_N!\kakko{K+\wa{N}{\beta=1}n_\beta-1}!}
  \kansu{C_{0\ldots0}}{\mbox{\boldmath$z$}}\ .
\end{equation}
Putting (\ref{bgcs:zenkatoki}) into (\ref{bgcs:teigi}),
we obtain the form of the coherent state:
\begin{equation}
  \label{bgcs:kata}
  \ket{\mbox{\boldmath$z$}}
  =
  \kansu{C}{\mbox{\boldmath$z$}}
  \wa{\infty}{\left\{ n\right\}=0}
  \sqrt{\kakko{K-1}!\over
    n_1!\ldots n_N!\kakko{K+\wa{N}{\beta=1}n_\beta-1}!}
  z_1^{n_1}\ldots z_N^{n_N}
  \ket{n_1,\ldots,n_N,K-1+\wa{N}{\alpha=1}n_\alpha}\ ,
\end{equation}
where we have written $\kansu{C_{0\ldots0}}{\mbox{\boldmath$z$}}$ as
$\kansu{C}{\mbox{\boldmath$z$}}$.
$\kansu{C}{\mbox{\boldmath$z$}}$ is  a normalization factor and affects no physical
quantity, so hereafter we simply put $\kansu{C}{\mbox{\boldmath$z$}}=1$.
Especially, in the $N=1$ case (with $K\to 2K$), (\ref{bgcs:kata})
becomes
\begin{equation}
  \ket{z}
  =
  \wa{\infty}{n=0}
  \sqrt{\kakko{2K-1}!\over n!\kakko{2K+n-1}!}z^n\ket{K,n}\ ,
\end{equation}
which coincides with (\ref{cs:bgcs}), where $\ket{n,2K-1+n}$ has been
identified with $\ket{K,n}$ in the representation of $SU(1,1)$,
(\ref{cs:sudaisu}).

The inner product of the coherent states is
\begin{equation}
  \label{bgcs:naiseki}
  \braket{\mbox{\boldmath$z$}}{\mbox{\boldmath$z$}^\prime}
  =
  \wa{\infty}{\left\{ n\right\}=0}
  {\kakko{K-1}!\over
    n_1\ldots n_N!\kakko{K+\wa{N}{\alpha=1}n_\alpha-1}!}
  \kakko{z_1^*z_1^\prime}^{n_1}\cdots
  \kakko{z_N^*z_N^\prime}^{n_N}
  =
  \kansu{F_N}{K;\kakko{z_\alpha^*z_\alpha^\prime}}\ ,
\end{equation}
where
\begin{eqnarray}
  \label{bgcs:fteigi}
  \kansu{F_N}{K;\mbox{\boldmath$z$}}
  &\equiv&
  \kansu{F_N}{K;z_1,\ldots,z_N}
  \nonumber\\
  &\equiv&
  \wa{\infty}{\left\{ n\right\}=0}
  {\kakko{K-1}!\over
    n_1!\ldots n_N!\kakko{K+\wa{N}{\alpha=1}n_\alpha-1}!}
  \kakko{z_1}^{n_1}\ldots\kakko{z_N}^{n_N}\ .
\end{eqnarray}
In the $N=1$ case (\ref{bgcs:fteigi}) becomes
\begin{equation}
  \kansu{F_1}{2K;z}
  =
  \kansu{{}_0F_1}{2K;z}
  =
  \kansu{\Gamma}{2K}z^{-K+{1\over2}}\kansu{I_{2K-1}}{2\sqrt{z}}\ ,
\end{equation}
where ${}_0F_1(2K;z)$ is the hypergeometric function and
$I_\nu(z)$ is the first kind modified Bessel function.

Now we construct the measure so as to satisfy the resolution of unity:
\begin{equation}
  \label{bgcs:taninobunkai}
  \int \kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}\ket{\mbox{\boldmath$z$}}\bra{\mbox{\boldmath$z$}}
  =
  1_K\ .
\end{equation}
The explicit form of the left-hand side of (\ref{bgcs:taninobunkai}) is
\begin{eqnarray}
  \label{bgcs:rouarawa}
  \int \kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\prime}\ket{\mbox{\boldmath$z$}}\bra{\mbox{\boldmath$z$}}
  &=&
  \wa{\infty}{\left\{ n\right\}=0}
  \wa{\infty}{\left\{ m\right\}=0}
  \sqrt{\kakko{K-1}!\over
    n_1!\ldots n_N!\kakko{K+\wa{N}{\alpha=1}n_\alpha-1}!}
  \nonumber\\
  &&\times
  \sqrt{\kakko{K-1}!\over
    m_1!\ldots m_N!\kakko{K+\wa{N}{\alpha=1}m_\alpha-1}!}
  \ket{\left\{ n\right\}}\bra{\left\{ m\right\}}
  \nonumber\\
  &&\times
  \int \kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}
  z_1^{n_1}\cdots z_N^{n_N}
  \kakko{z_1^*}^{m_1}\cdots\kakko{z_N^*}^{m_N}\ ,
\end{eqnarray}
where
\begin{eqnarray}
  \kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}
  &\equiv&
  \kansu{\sigma}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}[d\mbox{\boldmath$z$}^\dagger d\mbox{\boldmath$z$}]\ ,
  \nonumber\\
  {}[d\mbox{\boldmath$z$}^\dagger d\mbox{\boldmath$z$}]
  &\equiv&
  \prod^N_{\alpha=1}\kansu{d}{{\rm Re}z}\kansu{d}{{\rm Im}z}\ ,
\end{eqnarray}
and an abbreviation
\begin{equation}
  \ket{\left\{ n\right\}}
  \equiv
  \ket{n_1,\cdots,n_N,K-1+\wa{N}{\alpha=1}n_\alpha}\ ,
\end{equation}
has been used.
We put
\begin{equation}
  z_\alpha
  =
  \sqrt{r_\alpha}e^{i\theta_\alpha}\ ,\
  \kakko{\alpha=1,\ldots,N}\ ,
\end{equation}
and assume that $\sigma$ depends only on the radial parts:
\begin{eqnarray}
  \kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}
  =
  \kakko{1\over2}^N
  \kansu{\sigma}{r_1,\ldots,r_N}
  dr_1d\theta_1\cdots dr_Nd\theta_N\ ,
  \nonumber\\
  \kakko{d\mbox{\boldmath$z$}^\dagger d\mbox{\boldmath$z$}
    =
    \kakko{1\over2}^N
    dr_1d\theta_1\cdots dr_Nd\theta_N}\ .
\end{eqnarray}
Then (\ref{bgcs:rouarawa}) becomes
\begin{eqnarray}
  (\ref{bgcs:rouarawa})
  &=&
  \wa{\infty}{\left\{ n\right\}=0}
  \wa{\infty}{\left\{ m\right\}=0}
  \sqrt{\kakko{K-1}!\over
    n_1!\cdots n_N!\kakko{K+\wa{N}{\alpha=1}n_\alpha-1}!}
  \nonumber\\
  &&
  \times
  \sqrt{\kakko{K-1}!\over
    m_1!\cdots m_N!\kakko{K+\wa{N}{\alpha=1}m_\alpha-1}!}
  \ket{\left\{ n\right\}}\bra{\left\{ m\right\}}
  \nonumber\\
  &&
  \times
  \kakko{1\over2}^N
  \int^\infty_0dr_1\cdots\int^\infty_0dr_N
  \kansu{\sigma}{r_1,\cdots,r_N}
  \int^{2\pi}_0d\theta_1\cdots\int^{2\pi}_0d\theta_N
  \nonumber\\
  &&
  \times
  r_1^{n_1+m_1\over2}\cdots r_N^{n_N+m_N\over2}
  e^{i\kakko{n_1-m_1}\theta_1}\cdots
  e^{i\kakko{n_N-m_N}\theta_N}
  \nonumber\\
  &=&
  \pi^N
  \wa{\infty}{\left\{n\right\}=0}
  {\kakko{K-1}!\over n_1!\cdots n_N!
    \kakko{K+\wa{N}{\alpha=1}n_\alpha-1}!}
  \ket{\left\{ n\right\}}\bra{\left\{ m\right\}}
  \nonumber\\
  &&
  \times
  \int^\infty_0dr_1\cdots\int^\infty_0dr_N
  \kansu{\sigma}{r_1,\cdots,r_n}
  r_1^{n_1}\cdots r_N^{n_N}\ .
\end{eqnarray}
Thus $\kansu{\sigma}{r_1,\cdots,r_N}$ must satisfy
\begin{eqnarray}
  \label{bgcs:mitasu}
  &&\pi^N\kansu{\Gamma}{K}
  \int^\infty_0dr_1\cdots\int^\infty_0dr_N
  \kansu{\sigma}{r_1,\cdots,r_N}
  r_1^{n_1}\cdots r_N^{n_N}
  \nonumber\\
  &&=
  \kansu{\Gamma}{n_1+1}\cdots\kansu{\Gamma}{n_N+1}
  \kansu{\Gamma}{K+\wa{N}{\alpha=1}n_\alpha}\ .
\end{eqnarray}
After some considerations, we found the following formula.
\begin{eqnarray}
  \label{bgcs:koushiki}
  &&\int^\infty_0dr_1 r_1^{s_1}\cdots
  \int^\infty_0dr_N r_N^{s_N}
  2\kakko{r_1+\cdots+r_N}^{K-N\over2}
  \kansu{K_{K-N}}{2\sqrt{r_1+\cdots+r_N}}
  \nonumber\\
  &=&
  \kansu{\Gamma}{s_1+1}\cdots\kansu{\Gamma}{s_N+1}
  \kansu{\Gamma}{K+\wa{N}{\alpha=1}s_\alpha}\ .
\end{eqnarray}
(See appendix \ref{sec:warewarenokoushiki} for the derivation of the formula.)
This is verified as follows.
In the left-hand side of (\ref{bgcs:koushiki}), we put
\begin{eqnarray}
  r_1 &=& \xi_1\kakko{1-\xi_2}\ ,\nonumber\\
  r_2 &=& \xi_1\xi_2\kakko{1-\xi_3}\ ,\nonumber\\
  &\vdots&\nonumber\\
  r_{N-1} &=& \xi_1\xi_2\cdots\xi_{N-1}\kakko{1-\xi_N}\ ,\nonumber\\
  r_N &=& \xi_1\xi_2\cdots\xi_N\ ,
  \nonumber\\
  &&
  \left(
    {\kansu{\partial}{r_1,\cdots,r_N}
      \over
      \kansu{\partial}{\xi_1,\cdots,\xi_N}}
    =
    \xi_1^{N-1}\xi_2^{N-2}\cdots\xi_{N-2}^2\xi_{N-1}
  \right)\ ,
\end{eqnarray}
to obtain
\begin{eqnarray}
  \label{bgcs:hidari}
  \textrm{(l.h.s.)}
  &=&
  2\int^\infty_0d\xi_1 \xi_1^{N-1+s_1+\cdots+s_N+{K-N\over2}}
  \kansu{K_{K-N}}{2\sqrt{\xi_1}}
  \nonumber\\
  &&
  \times
  \int^1_0d\xi_2 \xi_2^{N-2+s_2+\cdots+s_N}
  \kakko{1-\xi_2}^{s_1}
  \int^\infty_0d\xi_3 \xi_3^{N-3+s_3+\cdots+s_N}
  \kakko{1-\xi_3}^{s_2}\cdots
  \nonumber\\
  &&
  \times
  \int^1_0d\xi_{N-1}\xi_{N-1}^{1+s_{N-1}+s_N}
  \kakko{1-\xi_{N-1}}^{s_{N-2}}
  \int^1_0d\xi_N\kakko{1-\xi_N}^{s_{N-1}}\xi_N^{s_N}
  \nonumber\\
  &=&
  2\int^\infty_0d\xi_1 \xi_1^{{K+N\over2}+s_1+\cdots+s_N-1}
  \kansu{K_{K-N}}{2\sqrt{\xi_1}}
  \nonumber\\
  &&
  \times
  \kansu{B}{s_1+1,N-1+s_2+\cdots+s_N}\cdots
  \kansu{B}{s_N+1,s_{N-1}+1}\ ,
\end{eqnarray}
where we have used the integral expression of the Beta function:
\begin{equation}
  \kansu{B}{p,q}
  =
  \int^1_0dt t^{p-1}\kakko{1-t}^{q-1}\ .
\end{equation}
By putting
\begin{equation}
  \sqrt{\xi_1}=u\ ,
\end{equation}
the $\xi_1$-integral in (\ref{bgcs:hidari}) becomes
\begin{eqnarray}
  \textrm{(the $\xi_1$-integral part)}
  &=&
  \int^\infty_0du u^{K+N+2\kakko{s_1+\cdots+s_N}-1}
  \kansu{K_{K-N}}{2u}
  \nonumber\\
  &=&
  {1\over4}
  \kansu{\Gamma}{K+s_1+\cdots+s_N}
  \kansu{\Gamma}{N+s_1+\cdots+s_N}\ ,
\end{eqnarray}
where the formula
\begin{equation}\label{bgcs:iwanamikoushiki}
  \int^\infty_0dx x^{\mu-1}\kansu{K_\nu}{ax}
  =
  {1\over4}
  \kakko{2\over a}^\mu
  \kansu{\Gamma}{\mu+\nu\over2}
  \kansu{\Gamma}{\mu-\nu\over2}\ ,\
  (a>0,\ {\rm Re}\mu>\vert{\rm Re}\nu\vert)\ ,
\end{equation}
has been used (see appendix \ref{sec:iwanamikoushiki}).
By noting the relation
\begin{equation}
  \kansu{B}{p,q}
  =
  {\kansu{\Gamma}{p}\kansu{\Gamma}{q}\over\kansu{\Gamma}{p+q}}\ ,
\end{equation}
(\ref{bgcs:hidari}) finally becomes
\begin{equation}
  (\ref{bgcs:hidari})
  =
  \kansu{\Gamma}{s_1+1}\cdots\kansu{\Gamma}{s_N+1}
  \kansu{\Gamma}{K+s_1+\cdots+s_N}\ ,
\end{equation}
which is just the right-hand side of (\ref{bgcs:koushiki}).

Comparing (\ref{bgcs:mitasu}) with (\ref{bgcs:koushiki}), we find that
\begin{equation}
  \kansu{\sigma}{r_1,\cdots,r_N}
  =
  {2\over\pi^N\kansu{\Gamma}{K}}
  \kakko{r_1+\cdots+r_N}^{K-N\over2}
  \kansu{K_{K-N}}{2\sqrt{r_1+\cdots+r_N}}\ .
\end{equation}
Therefore we obtain the measure:
\begin{equation}\label{bgcs:measure}
  \kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}
  =
  {2\|\mbox{\boldmath$z$}\|^{K-N}\kansu{K_{K-N}}{2\|\mbox{\boldmath$z$}\|}\over\pi^N\kansu{\Gamma}{K}}
  [d\mbox{\boldmath$z$}^\dagger d\mbox{\boldmath$z$}]\ ,
\end{equation}
where
\begin{equation}
  \|\mbox{\boldmath$z$}\|\equiv\sqrt{\mbox{\boldmath$z$}^\dagger\mbox{\boldmath$z$}}\ .
\end{equation}
In the $N=1$ case, (\ref{bgcs:measure}) ($K\to 2K$) is
\begin{equation}
  \kansu{d\mu}{z,z^*}
  =
  {2\vert z\vert^{2K-1}\kansu{K_{2K-1}}{2\vert z\vert}
    \over
    \pi\kansu{\Gamma}{2K}}
  [dz^*dz]\ ,
\end{equation}
which is just the measure of BG coherent state (\ref{cs:bgcsrou}).
The explicit form of (\ref{bgcs:taninobunkai}) is
\begin{eqnarray}
  \label{bgcs:gutai}
  &&
  \int{2\|\mbox{\boldmath$z$}\|^{K-N}\kansu{K_{K-N}}{2\|\mbox{\boldmath$z$}\|}
    \over
    \pi^2\kansu{\Gamma}{K}}
  [d\mbox{\boldmath$z$}^\dagger d\mbox{\boldmath$z$}]
  \nonumber\\
  &&
  \times
  \wa{\infty}{\left\{ n\right\}=0}
  z_1^{n_1}\cdots z_N^{n_N}
  \ket{n_1,\cdots,n_N,K-1+\wa{N}{\alpha=1}n_\alpha}
  \nonumber\\
  &&
  \times
  \wa{\infty}{\left\{ m\right\}=0}
  \kakko{z_1^*}^{m_1}\cdots\kakko{z_N^*}^{m_N}
  \bra{m_1,\cdots,m_N,K-1+\wa{N}{\alpha=1}m_\alpha}
  =
  {\bf 1}_K\ .
\end{eqnarray}
{\em It is remarkable that (\ref{bgcs:gutai}) holds for $K>0$.}

\section{Construction of Path Integral Formula}
\label{sec:pathintegral}

We construct a path integral formula with a Hamiltonian
\begin{equation}
  \hat H
  \equiv
  \wa{N+1}{\alpha=1}c_\alpha E_{\alpha\alpha}
  =
  \wa{N}{\alpha=1}\mu_\alpha E_{\alpha\alpha}+Kc_{N+1}{\bf 1}_K\ ,\
  \kakko{\mu_\alpha\equiv c_\alpha+c_{N+1}}\ .
\end{equation}
We have shown the WKB-exactness of the trace formula
with this Hamiltonian in terms of the
``generalized coherent state''~\cite{RON:CPN} and the ``multi-periodic
coherent state''~\cite{RON:MULTIN}.
In this section we write down the trace formula in terms of our
BG coherent state.

The matrix element of the Hamiltonian is
\begin{equation}
  \bra{\mbox{\boldmath$z$}}{\hat H}\ket{\mbox{\boldmath$z$}^\prime}
  =
  Kc_{N+1}\kansu{F_N}{K;\left( z_\alpha^* z_\alpha^\prime\right)}
  +\wa{N}{\alpha=1}\mu_\alpha z_\alpha^*z_\alpha^\prime
  \kansu{F_N}{K+1;\left( z_\alpha^* z_\alpha^\prime\right)}\ ,
\end{equation}
where $\kansu{F_N}{K;\mbox{\boldmath$z$}}$ is given in (\ref{bgcs:fteigi}).

The Feynman kernel is defined by
\begin{equation}
  \kansu{K}{\mbox{\boldmath$z$}_F,\mbox{\boldmath$z$}_I;T}
  \equiv
  \bra{\mbox{\boldmath$z$}_F}e^{-i\hat HT}\ket{\mbox{\boldmath$z$}_I}
  =
  \lim_{M\to\infty}
  \bra{\mbox{\boldmath$z$}_F}\kakko{1-i\Delta t\hat H}^M\ket{\mbox{\boldmath$z$}_I}\ ,\
  \kakko{\Delta t\equiv T/M}\ ,
\end{equation}
where $\mbox{\boldmath$z$}_I(\mbox{\boldmath$z$}_F)$ is the initial (final) state and $T$ is time
interval.
The explicit form of the kernel is
\begin{eqnarray}
  \kansu{K}{\mbox{\boldmath$z$}_F,\mbox{\boldmath$z$}_I;T}
  &=&
  \lim_{M\to\infty}
  \int\prod^{M-1}_{i=1}
  \kansu{d\mu}{\kansu{\mbox{\boldmath$z$}}{i},\kansu{\mbox{\boldmath$z$}^\dagger}{i}}
  \prod^M_{j=1}
  \bra{\kansu{\mbox{\boldmath$z$}}{j}}\kakko{1-i\Delta t\hat H}\ket{\kansu{\mbox{\boldmath$z$}}{j-1}}
  \Bigg\vert^{\kansu{\mbox{\boldmath$z$}}{M}=\mbox{\boldmath$z$}_F}_{\kansu{\mbox{\boldmath$z$}}{0}=\mbox{\boldmath$z$}_I}
  \nonumber\\
  &=&
  \lim_{M\to\infty}
  \int\prod^{M-1}_{i=1}
  \kansu{d\mu}{\kansu{\mbox{\boldmath$z$}}{i},\kansu{\mbox{\boldmath$z$}^\dagger}{i}}
  \prod^M_{j=1}
  \Bigg\{
  \kansu{F_N}{K;\kakko{\kansu{z_\alpha^*}{j}\kansu{z_\alpha}{j-1}}}
  \nonumber\\
  &&
  \times
  \bigg[
  1-i\Delta t\bigg\{
  Kc_{N+1}
  \nonumber\\
  &&
  +\wa{N}{\alpha=1}\mu_\alpha\kansu{z_\alpha^*}{j}\kansu{z_\alpha}{j-1}
  {\kansu{F_N}{K+1;\kakko{\kansu{z_\alpha^*}{j}\kansu{z_\alpha}{j-1}}}
    \over
    \kansu{F_N}{K;\kakko{\kansu{z_\alpha^*}{j}\kansu{z_\alpha}{j-1}}}
  }
  \bigg\}
  \bigg]
  \Bigg\}
  \nonumber\\
  &=&
  \lim_{M\to\infty}
  \int\prod^{M-1}_{i=1}
  \kansu{d\mu}{\kansu{\mbox{\boldmath$z$}}{i},\kansu{\mbox{\boldmath$z$}^\dagger}{i}}
  \prod^M_{j=1}
  \Bigg\{
  \kansu{F_N}{K;\kakko{\kansu{z_\alpha^*}{j}\kansu{z_\alpha}{j-1}}}
  \Bigg\}
  \nonumber\\
  &&
  \times
  \exp\bigg[
        -i\Delta t\wa{M}{k=1}\bigg\{
          Kc_{N+1}
          \nonumber\\
          &&
          +\wa{N}{\alpha=1}\mu_\alpha
          \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}
          {\kansu{F_N}
            {K+1;\kakko{\kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}}}
          \over
          \kansu{F_N}
            {K;\kakko{\kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}}}}
        \bigg\}
  \bigg]\ ,
\end{eqnarray}
where the resolution of unity (\ref{bgcs:taninobunkai}) has been
inserted in the first equality and $O((\Delta t)^2)$ terms,
which finally vanish in $M\to\infty$ limit, have been omitted
in the last equality.

The trace formula is defined by
\begin{equation}
  Z
  \equiv
  \int\kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}
  \bra{\mbox{\boldmath$z$}}e^{-i\hat HT}\ket{\mbox{\boldmath$z$}}
  =
  \int\kansu{d\mu}{\mbox{\boldmath$z$},\mbox{\boldmath$z$}^\dagger}
  \kansu{K}{\mbox{\boldmath$z$},\mbox{\boldmath$z$};T}\ .
\end{equation}
The explicit form is
\begin{eqnarray}\label{pi:gutai}
  Z
  &=&
  \lim_{M\to\infty}
  \int\prod^M_{i=1}
  \kansu{d\mu}{\kansu{\mbox{\boldmath$z$}}{i}\kansu{\mbox{\boldmath$z$}^\dagger}{i}}
  \prod^M_{j=1}
        \bigg\{
          \kansu{F_N}{K;\kakko{\kansu{z_\alpha^*}{j}
                \kansu{z_\alpha}{j-1}}}
        \bigg\}
  \nonumber\\
  &&
  \times
  \exp\Bigg[
        -i\Delta t\wa{M}{k=1}\bigg\{
          Kc_{N+1}
  \nonumber\\
  &&
  +\wa{N}{\alpha=1}\mu_\alpha
        \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}
        {\kansu{F_N}{K+1;\kakko{
          \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}}}
        \over
        \kansu{F_N}{K;\kakko{
          \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}}}}
        \bigg\}
  \Bigg]\Bigg\vert_{\kansu{\mbox{\boldmath$z$}}{M}=\kansu{\mbox{\boldmath$z$}}{0}}
  \nonumber\\
  &=&
  \lim_{M\to\infty}
  e^{-iKc_{N+1}T}
  \int\prod^M_{i=1}
  \kansu{d\mu}{\kansu{\mbox{\boldmath$z$}}{i},\kansu{\mbox{\boldmath$z$}^\dagger}{i}}
  \prod^M_{j=1}
  \bigg\{
        \kansu{F_N}{K;\kakko{
          \kansu{z_\alpha^*}{j}\kansu{z_\alpha}{j-1}}}
  \bigg\}
  \nonumber\\
  &&
  \times
  \exp\Bigg[
        -i\Delta t\wa{M}{k=1}\wa{N}{\alpha=1}\mu_\alpha
        \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}
        {\kansu{F_N}{K+1;\kakko{
          \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}}}
        \over
        \kansu{F_N}{K;\kakko{
          \kansu{z_\alpha^*}{k}\kansu{z_\alpha}{k-1}}}}
  \Bigg]\ .
\end{eqnarray}
In the $N=1$ case, (\ref{pi:gutai}) is
\begin{eqnarray}
  Z
  &=&
  \lim_{M\to\infty}e^{-ihKT}
  \int\prod^M_{i=1}
  \kakko{{2\over\pi}\kansu{K_{2K-1}}{2\vert\kansu{z}{i}\vert}
  \kansu{I_{2K-1}}{2\sqrt{\kansu{z^*}{i}\kansu{z}{i-1}}}
  [\kansu{dz^*}{i}\kansu{dz}{i}]}
  \nonumber\\
  &&
  \times
  \exp\Bigg[
  -ih\Delta t\wa{M}{k=1}\sqrt{\kansu{z^*}{k}\kansu{z}{k-1}}
  {\kansu{I_{2K}}{2\sqrt{\kansu{z^*}{k}\kansu{z}{k-1}}}
      \over
      \kansu{I_{2K-1}}{2\sqrt{\kansu{z^*}{k}\kansu{z}{k-1}}}}
    \Bigg]\ ,
\end{eqnarray}
where $h\equiv c_1+c_2$.\\
Even in the $N=1$ case, it seems to be complicated not only
to make the WKB approximation but also to calculate exactly.

\section{Discussion}
\label{sec:giron}

We have extended the BG coherent state for the representation of $SU(1,1)$
to some representation of $U(N,1)$ and constructed the measure.
The eigenvalue of the Casimir operator
($I=\wa{N+1}{\alpha=1}E_{\alpha\alpha}$), $K$, can be enlarged to $K>0$.

We have also constructed the path integral formula with the same
Hamiltonian with which the WKB-exactness is examined in terms of some
coherent states.
However, in this case, the form of the coherent state is so complicated
that the WKB approximation as well as the exact calculation seems not
to be easy.
Showing the WKB-exactness is now under consideration.

redpajama_set_name: RedPajamaArXiv


text:
Halle Berry Approved Of Saweetie's "Catwoman" Halloween Costume And I Can See Why
Saweetie did that!
Halle Berry adores Saweetie's spunky Halloween costume!
Jerritt Clark / Getty Images for WBR, Alberto E. Rodriguez / Getty Images
For the spooky holiday, Saweetie dressed up as Halle's version of Catwoman from the 2004 superhero movie, and she shared a video of herself reciting one of Halle's iconic lines in the film.
@saweetie / Via instagram.com
"You see, sometimes I'm good, but sometimes I'm bad, but only as bad as I wanna be," Saweetie said while walking across a rooftop in the sexy leather outfit.
But before she could recite her next time, Halle popped out of nowhere and asked Saweetie, "What the hell is going on here?"
@halleberry / Via instagram.com
And she jokingly replied, "I'm just trying to get out here and get these coins," which led to a major stare-down between the two Hollywood stars.
After the pair jokingly looked at each other for a couple of seconds, Halle recited that famous line and said, "I know that's right."
"I'm never, ever wrong," the "Icy" rapper joked back.
You can see Saweetie's full video below:


text:
Report: Samsung to launch its own artificial digital assistant service for Galaxy S8
Chris Rowland 7 November 2016 Assistant and Artificial Intelligence / Mobiles 1 Comment
Companies: Samsung Devices: Galaxy S8
Keen to put the disaster of the Galaxy Note 7 behind it, Samsung is making with the announcements of what's coming next, and at Mobile World Congress next year, we're likely to see a new digital assistant service launched by Samsung alongside its likely Galaxy S8 handset.
Samsung won't be starting from scratch, though, with its acquisition last month of Viv Labs Inc, a firm run by one of the co-creators of Apple's Siri voice assistant. Viv's AI platform, simply called Viv, is in planning for integration into the next Galaxy smartphones, with the promise of voice assistant services that will integrate with home appliances and wearables.
Samsung's announcement comes after Apple's voice assistant has been on the market for a couple of years now, and Google's Assistant announced earlier this year as part of its 2016 hardware line-up. While Siri has been falling behind in the 'intelligence' side of things lately, Google's Assistant is doing rather well, and it will be interesting to see how a third competitor in the Android space (ignoring Cortana which is more Windows-based) will drive the whole sector forward.
The move is likely to be welcomed by customers next year, as it's unknown exactly how much of Google's Assistant will be available to third-party OEMs, if any of it is at all. Samsung's own voice services in the past haven't been spectacular — Google Now easily trumped Samsung's S-Voice — but the integration of an actual AI platform might make a bit difference, and will offer buyers of the Galaxy S8 something to enjoy.
Of course, MWC 2017 is still a few months away (three and a half, to be precise) and we'll be there at all the major press conferences to report the news back to you.
Chris Rowland
Chris Rowland Managing Editor
Chris has been at the forefront of smartphone reporting in Australia since smartphones were a thing, and has used mobile phones since they came with giant lead-acid batteries that were "transportable" and were carried in a shoulder bag.
Today, Chris publishes one of Australia's most popular technology websites, Ausdroid. His interests include mobile (of course), as well as connected technology and how it can make all our lives easier.
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