Chapter 36. Anne's House of Dreams. This is a LibriVox recording. All LibriVox recordings are in the public domain. For more information or to volunteer, please visit LibriVox.org. This reading by Lucy Burgoyne. Anne's House of Dreams by Lucy Maud Montgomery. Chapter 36. Beauty for Ashes. Any news from Greengables, Anne? Nothing very special, replied Anne, folding up Marilla's letter. Jake Donald has been there shingling the roof. He is a full-fledged carpenter now, so it seems he has had his own way in regard to the choice of a life work.  I shall never forget the day she came to the school and rated me for failing to call him Sinclair. Does anyone ever call him that now? Evidently not. It seems that he has completely lived it down. Even his mother has succumbed. I always thought that a boy with Jake's chin and mouth would get his own way in the end. Diana writes me that Dora has a bow. Just think of it, that child. Dora is 17, said Gilbert. Charlie Sloane and I were both mad about you when you were 17, Anne. Really, Gilbert, we must be getting on in years, said Anne, with a half-ruful smile. When children who were six, when we thought ourselves grown up, are old enough now to have bows. Dora is Ralph Andrews, Joan's brother. I remember him as a little round, fat, white-headed fellow who was always at the foot of his class. But I understand he is quite a fine-looking young man now. Dora will probably marry young. She's of the same type as Charlotte, the fourth. She'll never miss her first chance for fear. She might not get another. Well, if she marries Ralph, I hope he will be a little more up-and-coming than his brother Billy, Muse Dan. For instance, said Gilbert, laughing, let us hope he will be able to propose on his own account. Anne, would you have married Billy if he had asked you himself, instead of getting Joan to do it for him? I might have, Anne went off into a shriek of laughter over the recollection of her first proposal. The shock of the whole thing might have hypnotised me into some such rash and foolish act. Let us be thankful he did it by proxy. I had a letter from George Moore yesterday, said Leslie, from the corner where she was reading. Oh, how is he? asked Anne, interestingly, yet with an unreal feeling that she was inquiring about someone whom she did not know. He is well, but he finds it very hard to adapt himself to all the changes in his old home and friends. He is going to see again in the spring. It's in his blood, he says, and he longs for it. But he told me something that made me glad for him, poor fellow. Before he sailed on the four sisters, he was engaged to a girl at home. He did not tell me anything about her in Montreal, because he said he supposed she would have forgotten him and married someone else long ago. And with him, you see, his engagement and love was still a thing at the present. It was pretty hard on him that when he got home he found she had never married and still cared for him. They are to be married this fall. I'm going to ask him to bring her over here for a little trip. He says he wants to come and see the place where he lived so many years without knowing it.  And to think, she added with a sigh of self-reproach, that if I had had my way, George Moore would never have come up from the grave in which his identity was buried. How I did fight against Gilbert's suggestion. Well, I am punished. I shall never be able to have a different opinion from Gilbert's again. If I try to have, he will squelch me by casting George Moore's case up to me. As if even that would squelch a woman, mock Gilbert. At least, do not become my echo, Anne.  I do not want a wife like John McAllister's over the harbour. No matter what he says, she at once remarks in that drab, lifeless little voice of hers, that is very true, John, dear me. Anne and Leslie laughed. Anne's laughter was silver and Leslie's golden. And the combination of the two was as satisfactory as a perfect chord in music. Susan, coming in on the heels of the laughter, echoed it with a resounding sigh. Why, Susan, what is the matter? asked Gilbert. There's nothing wrong with the little gem, is there, Susan? cried Anne, starting up in alarm. No, no, calm yourself, Mrs. Doctor, dear. Something has happened, though. Dear me, everything has gone cat-a-wampus with me this week. I spoiled the bread, as you know too well. And I scorched the doctor's best shirt bosom, and I broke your big plate up. And now, on the top of all this, comes word that my sister Matilda has broken her leg, and wants me to go and stay with her for a spell. Oh, I'm very sorry, sorry that your sister has met with such an accident. I mean exclaimed Anne. Ah, well, man was made to mourn, Mrs. Doctor, dear. That sounds as if it ought to be in the Bible, but they tell me a person named Burns wrote it, and there is no doubt that we are born to trouble as the sparks fly upward. As for Matilda, I do not know what to think of her. None of our family ever broke their legs before, but whatever she has done, she is still my sister, and I feel that it is my duty to go and wait on her. If you can spare me for a few weeks, Mrs. Doctor, dear. Of course, Susan, of course. I can get someone to help me while you are gone. If you cannot, I will not go, Mrs. Doctor, dear. Matilda's leg to the contrary, not withstanding. I will not have you worried, and that blessed child upset in consequence for any number of legs. Oh, you must go to your sister at once, Susan. I can get a girl from the Cove who will do for a time. Anne, will you let me come and stay with you while Susan is away? Exclaim, Leslie. Do, I'd love to, and it would be an act of charity on your part. I'm so horribly lonely over there in that big barn of a house. There's so little to do, and at night I'm worse than lonely. I'm frightened and nervous in spite of locked doors. There was a tramp around two days ago. Anne joyfully agreed, and next day Leslie was installed as an inmate of the Little House of Dreams. Miss Cornelia warmly approved the arrangement. It seems providential, she told Anne in confidence. I'm sorry for Matilda Clo, but since she had to break her leg, it couldn't have happened at a better time. Leslie will be here while Owen Ford is in four wins, and those old cats up at the Glen won't get the chance to meow, as they would if she was living over there alone, and Owen going to see her. They are doing enough of it, as it is, because she doesn't put on mourning. I said to one of them, if you mean she should put on mourning for George Moore, it seems to me more like his resurrection than his funeral, and if it's dick you mean, I confess, I can't see the propriety of going into weeds for a man who died thirteen years ago, and good riddance then.  Owen Ford came to the little house one August evening when Leslie and Ann were absorbed in worshipping the baby. He paused at the open door at the living room, unseen by the two within, gazing with greedy eyes at the beautiful picture.  Oh, you dear beautiful, beloved baby, she mumbled, catching one-way hand and covering it with kisses. Isn't him there, darling, as Eddie sing, crewed Ann, hanging over the arm of her chair adoringly? Dem itty-wee pads as the very tweeter's handies in the whole big world. Isn't they, you darling itty man? Ann, in the months before little Jim's coming, had poured diligently over several wise volumes and pinned her faith to one in the special, Sir Oracle on the care and training of children. Sir Oracle implored parents by all they held sacred never to talk, baby talk to their children. Infants should invariably be addressed in classical language from the moment of their birth. So should they learn to speak English undefiled from their earliest utterance. How, demanded Sir Oracle, can a mother reasonably expect her child to learn correct speech when she continually accustomed its impressionable grey matter to such observed expressions and distortions of our noble tongue as thoughtless mothers inflict every day on the helpless creatures committed to their care? Can a child who is constantly called twitty itty-wee singy ever attain to any proper conception of his own being and possibilities and destiny? Ann was vastly impressed with this and informed Gilbert that she meant to make it an inflexible rule never under any circumstances to talk baby talk to her children. Gilbert agreed with her and they made a solemn compact on the subject. A compact which Ann shamelessly violated the very first moment Little Gem was laid in her arms. Oh, the darling itty-wee sing she had exclaimed and she had continued to violate it ever since. When Gilbert teased her she loved Sir Oracle to scorn. Had I ever had any children of his own, Gilbert, I am positive he hadn't or he would never have written such rubbish. You just can't help talking baby talk to a baby. It comes natural and it's right. It would be inhuman to talk to those tiny, soft, velvety little creatures as we do to great big boys and girls. Babies want love and cuddling and all the sweet baby talk they can get Little Gem is going to have it. Bless his dear itty-heartoms.  I never heard anything like the way you talked to that child. Very likely you never did.  Didn't I bring up three pairs of Hammond twins who were 11? You and Sir Oracle are nothing but cold-blooded theorists. Gilbert, just look at him. He's smiling at me. He knows what we're talking about. An oud disorguse with heavy words must assays. Don't who, angel lover? Gilbert put his arm about them. Oh, you mothers, he said. You mothers. God knew what he was about when he made you. Little Gem was talked to and loved and cuddled and he throwed as became a child of the House of Dreams. Leslie was quite as foolish over him as Ann was. When their work was done and Gilbert was out of the way they gave themselves over to shameless orgies of lovemaking and ecstasies of adoration such as that in which Owen Ford had surprised them. Leslie was the first to become aware of him even in the twilight. Ann could see the sudden whiteness that swept over her beautiful face blotting out the crimson of lip and cheeks. Owen came forward eagerly blind for a moment to Ann. Leslie, he said, holding out his hand. It was the first time he had ever called her by her name but the hand Leslie gave him was cold and she was very quiet all the evening while Ann and Gilbert and Owen laughed and talked together. Before his call ended she excused herself and went upstairs.  Gilbert looked at Ann. Ann, what are you up to? There's something going on that I don't understand. The whole air here tonight has been charged with electricity. Leslie sits like the muse of tragedy.  You seem all the time to be bursting with some suppressed excitement. Owen up, what secret have you been keeping from your deceived husband? Don't be a goose, Gilbert, was Ann's conjugal reply. As for Leslie, she is absurd and I'm going up to tell her so. Ann found Leslie at the dormer window of her room. The little place was filled with the rheumatic thunder of the sea. Leslie sat with locked hands in the misty moonshine, a beautiful, accusing presence. Ann, she said in a low, reproachful voice, did you know Owen Ford was coming to forewinds? I did, said Ann brazenly. Oh, you should have told me, Ann, Leslie cried passionately.  I wouldn't have stayed here to meet him. You should have told me, it wasn't fair of you, Ann. Oh, it wasn't fair. Leslie's lips were trembling and her whole form was tense with emotion. But Ann laughed heartlessly. She bent over and kissed Leslie's upturned, reproachful face.  Owen Ford didn't rush from the Pacific to the Atlantic from a burning desire to see me. Neither do I believe that he was inspired by any wild and frenzied passion for Miss Cornelia.  You'll never need them again. There are some people who can see through a grindstone when there is a hole in it. Even if you cannot, I am not a prophetess but I shall venture on a prediction. The bitterness of life is over for you. After this you are going to have the joys and hopes and I dare say the sorrows. Two, of a happy woman. The omen of the shadow of Venus to come true for you, Leslie. The year in which you saw her brought your life's basket for you. Your love for Owen Ford. Now go right to bed and have a good sleep. Leslie obeyed orders in so far that she went to bed but it may be questioned if she slept much. I do not think she did to dream wakingly. Life had been so hard for this poor Leslie. The path on which she had had to walk had been so straight that she could not whisper to her own heart the hopes that might wait on the future but she watched the great revolving light bestaring the short hours of the summer night and her eyes grew soft and bright and young once more. Nor when Owen Ford came next day till asked her to go with him to the shore did she say him nay. End of Chapter 36 Miss Cornelius sailed down to the little house one drowsy afternoon when the gulf was the faint bleached blue of the August seas and the orange lilies at the gate of Anne's garden held up their imperial cups to be filled with the molten gold of August sunshine. Not that Miss Cornelius concerned herself with painted oceans or sun-thirsty lilies. She sat in her favorite rocker in unusual idleness. She sewed not, neither did she spin nor did she say a single derogatory word concerning any portion of mankind. In short Miss Cornelius' conversation was singularly devoid of spice that day and Gilbert, who had stayed home to listen to her instead of going fishing as he had intended, felt himself aggrieved. What had come over Miss Cornelius? She did not look cast down or worried. On the contrary, there was a certain air of nervous exultation about her. Whereas Leslie, she asked, not as if it mattered much, either. Owen and she went raspberrying in the woods back of her farm, answered Anne. They won't be back before suppertime if then. They don't seem to have any idea that there is such a thing as a clock, said Gilbert. I can't get to the bottom of that affair. I'm certain you women pulled strings. But Anne, undutiful wife, won't tell me. Will you, Miss Cornelius? No, I shall not. But, said Miss Cornelius, with the air of one determined to take the plunge and have it over, I will tell you something else. I came to-day on purpose to tell it. I am going to be married. Anne and Gilbert were silent. If Miss Cornelius had announced her intention of going out to the channel and drowning herself, the thing might have been more believable. This was not. So they waited. Of course, Miss Cornelius had made a mistake.  Now that the awkward moment of revelation was over, Miss Cornelius was her own woman again. Do you think I'm too young and inexperienced for matrimony? You know. It is rather staggering, said Gilbert, trying to gather his wits together. I've heard you say a score of times that you wouldn't marry the best man in the world. I'm not going to marry the best man in the world, retorted Miss Cornelius. Marshal Elliott is a long way from being the best. Are you going to marry Marshal Elliott, exclaimed Anne, recovering her power of speech under this second shock? Yes. I could have had him any time these twenty years if I'd lived in my finger. I suppose I was going to walk into church beside a perambulating haystack like that? I am sure we are very glad and wish you all the possible happiness, said Anne, very flatly and inadequately, as she felt. She was not prepared for such an occasion. She had never imagined herself offering betrothal felicitations to Miss Cornelius. Thanks, I knew you would, said Miss Cornelius. You are the first of my friends to know it.   You don't suppose I would live over harbor with all those McAllister's and Elliott's and Crawford's, do you? From the conceit of the Elliott's and the pride of the McAllister's and the vain glory of the Crawford's good Lord deliver us. Marshal is coming to live at my place. I'm sick and tired of hired men. That Jim Hastings I've got this summer is positively the worst of the species. He would drive anyone to get married. What do you think? He upset the churn yesterday and spilled a big churning of cream over the yard. And not one whit concerned about it was he. Just gave a foolish laugh and said cream was good for the land. Wasn't that like a man? I told him I wasn't in the habit of fertilizing my backyard with cream. Well, I wish you all manner of happiness, too, Miss Cornelia, said Gilbert solemnly. But, he added, unable to resist the temptation to tease Miss Cornelia, despite Anne's imploring eyes, a failure day of independence is done. As you know, Marshal Elliott is a very determined man. I like a man who can stick to a thing, retorted Miss Cornelia. Amos Grant, who used to be after me long ago, couldn't. I never saw such a weather vane. He jumped into the pond to drown himself once and then changed his mind and swam out again. Wasn't that like a man? Marshal would have stuck to it and drowned. And he has a bit of a temper they tell me, persisted Gilbert. He wouldn't be in Elliott if he hadn't. I'm thankful he has. It will be real fun to make him mad. And you can generally do something with a temporary man when it comes to repenting time, but you can't do anything with a man who just keeps placid and aggravating. You know he's a grit, Miss Cornelia. Yes, he is admitted Miss Cornelia rather sadly. And of course there is no hope of making conservative of him. But at least he is a Presbyterian. So I suppose I shall have to be satisfied with that. Would you marry him if he were a Methodist, Miss Cornelia? No, I would not. Politics is for this world, but religion is for both. And you may be a relict after all, Miss Cornelia. Not I. Marshal will live me out. The Elliot's are long-lived and the Bryant's are not. When are you to be married, asked Anne? In about a month's time. My wedding dress is to be navy blue silk. And I want to ask you, Anne, dearie, if you think it would be all right to wear a veil with a navy blue dress. I've always thought I'd like to wear a veil if I ever got married. Marshal says to have it if I want to. Isn't that like a man? Why shouldn't you wear it if you want to, asked Anne? Well, one doesn't want to be different from other people, said Miss Cornelia, who was not noticeably like anyone else on the face of the earth. As I say, I do fancy a veil, but maybe it shouldn't be worn with any dress but a white one. Please tell me, Anne, dearie, what you really think. I'll go by your advice. I don't think veils are usually worn with any but white dresses, admitted Anne, but that is merely a convention, and I am like Mr. Elliot, Miss Cornelia. I don't see any good reason why you shouldn't have a veil if you want one. But Miss Cornelia, who had made her calls in calico-wrappers, shook her head. If it isn't the proper thing, I won't wear it, she said, with a sigh of regret for her lost dream. Since you are determined to be married, Miss Cornelia, said Gilbert solemnly, I shall give you the excellent rules for the management of a husband which my grandmother gave my mother when she married my father. Well, I reckon I can manage Marshal Elliot, said Miss Cornelia placidly, but let us hear your rules. The first one is, catch him. He's caught, go on. The second one is, feed him well. With enough pie, what next? Third and fourth are, keep your eye on him. I believe you, said Miss Cornelia, emphatically. End of Chapter 37 Red Roses The garden of the little house was a haunt beloved of the bees and reddened by late roses that August. The little housefolk lived much in it and were given to taking picnic suppers in the grassy corner beyond the brook and sitting about in it through the twilight when great night moths sailed a thwart the velvet gloom. One evening, Owen Ford found Leslie alone in it. Anne and Gilbert were away, but Susan, who was expected back that night, had not yet returned. The northern sky was amber and pale green over the fur tops. The air was cool, for August was nearing September, and Leslie wore a crimson scarf over her white dress. Together they wandered through the little friendly, flower-covered paths in silence. Owen must go soon. His holiday was nearly over. Leslie found her heart beating wildly.  Some evenings a strange odor blows down the air of this garden, like a phantom perfume, said Owen. I have never been able to discover from just what flower it comes. It is elusive and haunting and wonderfully sweet. I like to fancy that it is the soul of grandmother Selwyn passing on a little visit to the old spot she loved so well. There should be a lot of friendly ghosts about this little old house. I have lived under its roof only a month, said Leslie, but I love it as I never loved the house over there where I have lived all my life. This house was builded and consecrated by love, said Owen. Such houses must exert an influence over those who live in them. And this garden—it is over sixty years old, and the history of a thousand hopes and joys is written in its blossoms. Some of those flowers were actually set out by the schoolmaster's bride, and she has been dead for thirty years. Yet they bloom on every summer. Look at those red roses, Leslie. How they queen it over everything else. I love the red roses, said Leslie. Anne likes the pink ones the best, and Gilbert likes the white. But I want the crimson ones. They satisfy some craving in me as no other flower does. These roses are very late. They bloom after all the others have gone, and they hold all the warmth and soul of the summer come to fruition, said Owen, plucking some of the glowing half-opened buds. The rose is the flower of love. The world has acclaimed it so for centuries. The pink roses are love hopeful and expectant. The white roses are love dead or forsaken. The red roses. Ah, Leslie, what are the red roses? Love triumphant, said Leslie in a low voice. Yes, love triumphant and perfect. Leslie, you know, you understand. I have loved you from the first, and I know you love me. I don't need to ask you. But I want to hear you say it, my darling, my darling. Leslie said something in a very low and tremulous voice. Anne's and lips met. It was life's supreme moment for them, and as they stood there in the old garden with its many years of love and delight and sorrow and glory, he crowned her shining hair with the red, red rose of a love triumphant. Anne and Gilbert returned presently, accompanied by Captain Jim. Anne lighted a few sticks of driftwood in the fireplace for love of the pixie flames, and sat around it for an hour of good fellowship. When I sit looking at a driftwood fire, it's easy to believe I'm young again, said Captain Jim. Can you read futures in the fire, Captain Jim? asked Owen.  I don't need the fire to read your futures, he said. I see happiness for all of you. All of you. For Leslie and Mr. Ford, and the Doctor here and Mr. Splive and little Jim and children that ain't born yet, but will be. Happiness for you all.  They're bound to come, and no house, whether it's a palace or a little house of dreams, can bar them out. But they won't get the better of you, if you face them together with love and trust. You can weather any storm with them, too, for compass and pilot. The old man rose suddenly, and placed one hand on Leslie's head, and one on Anne's. Two good, sweet women, he said, true and faithful and to be depended on. Your husbands will have honour in the gates because of you.  There was a strange solemnity about the little scene. Anne and Leslie bowed as those receiving a benediction. Gilbert suddenly brushed his hand over his eyes. Owen Ford was wrapped as one who can see visions. All were silent for a space. The little house of dreams added another poignant and unforgettable moment to its store of memories. I must be going now, said Captain Jim, slowly at last. He took up his hat and looked lingeringly about the room. Good night, all of you, he said, as he went out. Anne, pierced by the unusual wistfulness of his farewell, ran to the door after him. Come back soon, Captain Jim, she called, as he passed through the little gate hung between the ferns. Aye-aye, he called cheerly back to her. But Captain Jim had sat by the old fireside of the house of dreams for the last time. Anne went slowly back to the others. It's so—so pitiful to think of him going all alone down to that lonely point, she said, and there's no one to welcome him there. Captain Jim is such good company for others that one can't imagine him being anything but good company for himself, said Owen. But he must often be lonely. There was a touch of the seer about him tonight. He spoke as one to whom it had been given to speak. Well, I must be going too. Anne and Gilbert discreetly melted away. But when Owen had gone, Anne returned to find Leslie standing by the hearth. Oh, Leslie, I know—and I'm so glad, dear, she said, putting her arms about her. Anne, my happiness frightens me, whispered Leslie. It seems too great to be real. I'm afraid to speak of it—to think of it. It seems to me that it must just be another dream of this house of dreams, and it will vanish when I leave here. Well, you're not going to leave here until Owen takes you. You're going to stay with me until that time comes. Do you think I'd let you go over to that lonely, sad place again? Thank you, dear. I meant to ask you if I might stay with you. I didn't want to go back there. It would seem like going back into the chill and dreariness of the old life again. Anne—Anne, what a friend you've been to me.  He said, women, not woman, smiled Anne. Perhaps Captain Jim sees us both through the rose-coloured spectacles of his love for us, but we can try to live up to his belief in us at least. Do you remember, Anne, said Leslie, slowly, that I once said, that night we met on the shore, that I hated my good looks? I did, then. It always seemed to me that if I had been homely, Dick would never have thought of me. I hated my beauty because it had attracted him, but now—oh, I'm glad that I have it. It's all I have to offer, Owen. His artist's soul delights in it. I feel as if I do not come to him quite empty-handed. Owen loves your beauty, Leslie. Who would not?  He will tell you that. I needn't. And now I must lock up. I expected Susan back to-night, but she has not come. Oh, yes, here I am, Mrs. Dr. Deere, said Susan, entering unexpectedly from the kitchen, and puffing like a hand-drawing rails at that. It's quite a walk from the glen down here. I'm glad to see you back, Susan. How is your sister? She is able to sit up, but of course she cannot walk yet. However, she is very well able to get on without me now, for her daughter has come home for her vacation. And I am thankful to be back, Mrs. Dr. Deere. Matilda's leg was broken and no mistake, but her tongue was not. She would talk the legs off an iron pot that she would, Mrs. Dr. Deere, though I grieve to say it of my own sister. She was always a great talker, and yet she was the first of our family to get married. She really did not care much about marrying James Clow, but she could not bear to disablige him. Not but what James is a good man. The only fault I have to find with him is that he always starts in to say grace with such an unearthly groan, Mrs. Dr. Deere. It always frightens my appetite clear away. And speaking of getting married, Mrs. Dr. Deere, is it true that Cornelia Bryant has to be married to Marshal Elliot? Yes, quite true, Susan. Well, Mrs. Dr. Deere, it does not seem to me fair. Here is me, who never said a word against the men, and I cannot get married know-how. And then there is Cornelia Bryant, who has never done abusing them, and all she has to do is reach her hand out and pick one up as it were. It is a very strange world, Mrs. Dr. Deere. There is another world, you know, Susan. Yes, said Susan, with a heavy sigh. But, Mrs. Dr. Deere, there is neither marrying nor giving in marriage there. End of Chapter 38 Chapter 39 of Anne's House of Dreams. This is a LibriVox recording. All LibriVox recordings are in the public domain. For more information or to volunteer, please visit LibriVox.org. Recording by Randy Warwick. Anne's House of Dreams by Lucy Maud Montgomery. Chapter 39. Captain Jim crosses the bar. One day in late September, Owen Ford's book came at last. Captain Jim had gone faithfully to the Glen Post Office every day for a month, expecting it. This day he had not gone, and Leslie brought his copy home with hers and Anne's. We'll take it down to him this evening, said Anne, excited as a schoolgirl. The long walk to the point on that clear, beguiling evening along the Red Harbor Road was very pleasant. Then the sun dropped down behind the western hills into some valley that must have been full of lost sunsets, and at the same instant the big light flashed out on the white tower of the point. Captain Jim is never late by the fraction of a second, said Leslie. Neither Anne nor Leslie ever forgot Captain Jim's face when they gave him the book, his book, transfigured and glorified. The cheeks that had been blanched of late suddenly flamed with the color of boyhood. His eyes glowed with all the fire of youth, but his hands trembled as he opened it. It was called simply the Life Book of Captain Jim, and on the title page the names of Owen Ford and James Boyd were printed as collaborators. The frontist piece was a photograph of Captain Jim himself, standing at the door of the lighthouse, looking across the gulf. Owen Ford had snapped him one day while the book was being written. Captain Jim had known this, but he had not known that the picture was to be in the book. Just think of it, he said, the old sailor right there in a real printed book. This is the proudest day of my life. I'm like to bust, girls. There'll be no sleep for me tonight. I'll read my book clean through before sun up. We'll go right away and leave you free to begin it, said Anne. Captain Jim had been handling the book in a kind of reverent rapture. Now he decidedly closed it and laid it aside. No, no, you're not going away before you take a cup of tea with the old man, he protested. I couldn't hear to that. Could you, matey? The Life Book will keep, I reckon. I've waited for it this many a year. I can wait a little longer while I'm enjoying my friends. Captain Jim moved about getting his kettle on to boil and setting out his bread and butter. Despite his excitement, he did not move with his old briskness. His movements were slow and halting. But the girls did not offer to help him. They knew it would hurt his feelings. You just picked the right evening to visit me, he said, producing a cake from his cupboard.  A blessing on all good cooks, says I. Look at this pretty cake, all frosting and nuts. Taked off and I can entertain in such style. Set in, girls, set in. We'll take a cup of kindness yet for all things on. The girls set in, right merrily. The tea was up to Captain Jim's best brewing. Little Joe's mother's cake was the last word in cakes. Captain Jim was the Prince of Gracious Hosts, never even permitting his eyes to wander to the corner where the Life Book lay in all its bravery of green and gold. But when his door finally closed behind Anne and Leslie, they knew that he went straight to it. And as they walked home, they pictured the delight of the old man pouring over the printed pages where in his own life was portrayed with all the charm and color of reality itself. I wonder how he will like the ending. The ending I suggested, said Leslie. She was never to know. Early the next morning, Anne awakened to find Gilbert bending over her, fully dressed, with an expression of anxiety on his face. Are you called out? She asked drowsily. No. Anne, I'm afraid there's something wrong at the point. It's an hour after sunrise now and the light is still burning. You know it has always been a matter of pride with Captain Jim to start the light the moment the sun sets and put it out the moment it rises. Anne sat up in dismay. Through her window she saw the light blinking palely against the blue skies of dawn. Perhaps he has fallen asleep over his Life Book, she said anxiously, or become so absorbed in it that he has forgotten the light. Gilbert shook his head. That wouldn't be like Captain Jim. Anyway, I'm going down to sea. Wait a minute, and I'll go with you, exclaimed Anne. Oh yes, I must. Little Jim will sleep for an hour yet, and I'll call Susan. You may need a woman's help if Captain Jim is ill. It was an exquisite morning, full of tints and sounds at once ripe and delicate. The harbor was sparkling and dimpling like a girl. White gulls were soaring over the dunes. Beyond the bar was a shining, wonderful sea. The long fields by the shore were dewy and fresh in that first fine, purely tinted light. The wind came dancing and whistling up the channel to replace the beautiful silence with a music more beautiful still. Had it not been for the baleful star on the white tower that early walk would have been a delight to Anne and Gilbert, but they went softly with fear. Their knock was not responded to. Gilbert opened the door and they went in. The old room was very quiet. On the table were the remnants of the little evening feast. The lamp still burned on the corner stand. The first mate was asleep in a square of sunshine by the sofa. Captain Jim lay on the sofa, with his hands clasped over the Life Book, open at the last page, lying on his breast. His eyes were closed, and on his face was a look of the most perfect peace and happiness, a look of one whose long sought and found at last. He is asleep, whispered Anne tremulously. Gilbert went to the sofa and bent over him for a few moments. Then he straightened up. Yes, he sleeps. Well, he added quietly. Anne, Captain Jim, has crossed the bar. They could not know precisely at what hour he had died, but Anne always believed that he had had his wish, and went out when the morning came across the gulf. Out on that shining tide his spirit drifted over the sunrise sea of pearl and silver, to the haven where lost Margaret waited beyond the storms and calms. End of Chapter 39 Chapter 40 of Anne's House of Dreams This is a LibriVox recording. All LibriVox recordings are in the public domain. For information or to volunteer, please visit LibriVox.org. Recording by Randy Warwick. Anne's House of Dreams by Lucy Monmouth-Gummary Chapter 40 Farewell to the House of Dreams Captain Jim was buried in the little over-harbour graveyard, very near to the spot where the wee white lady slept.  But his real monument was in the hearts of those who knew him, and in the book that was to live for generations. Leslie mourned that Captain Jim had not lived to see the amazing success of it. How he would have delighted in the reviews, they are almost all so kindly, and to have seen his life-book heading the list of the best-sellers, oh, if he could just have lived to see it, Anne. But Anne, despite her grief, was wiser. It was the book itself he cared for, Leslie, not one might be said of it, and he had it. He had read it all through. That last night must have been one of the greatest happiness for him, with the quick, painless ending he had hoped for in the morning. I am glad for Owen's sake and yours that the book is such a success, but Captain Jim was satisfied. I know. The Lighthouse Star still kept a nightly vigil. A substitute keeper had been sent to the point, until such time as an all-wise government could decide which of many applicants was best suited for the place, or had the strongest pull. The first mate was at home in the Little House, beloved by Anne and Gilbert and Leslie, and tolerated by a Susan who had small liking for cats. I can put up with him for the sake of Captain Jim, Mrs. Dr. Deere, for I liked the old man, and I will see that he gets bite and sup, and every mouse the traps account for. But do not ask me to do more than that, Mrs. Dr. Deere. Cats is cats, and take my word for it, they will never be anything else, and at least Mrs. Dr. Deere do keep him away from the blessed wee man.  That might be fitly called a catastrophe, said Gilbert. Oh, you may laugh, Dr. Deere, but it would be no laughing matter.  That is only an old superstition, Susan. Oh, well, it may be a superstition, or it may not, Dr. Deere. All I know is it has happened. My sister's husband's nephew's wife's cat sucked their baby's breath, and the poor innocent was all but gone when they found it. And superstition or not, if I find that yellow beast lurking near our baby, I will whack him with the poker, Mrs. Dr. Deere. Mr. and Mrs. Marshall Elliot were living comfortably and harmoniously in the greenhouse. Leslie was busy with sewing, for she and Owen were to be married at Christmas, and wondered what she would do when Leslie was gone. Changes come all the time. Just as soon as things get really nice, they change, she said with a sigh. The old Morgan placed up at the glen is for sale, said Gilbert, apropos of nothing in a special. Is it, asked Anne indifferently? Yes. Now that Mr. Morgan has gone, Mrs. Morgan wants to go to live with her children in Vancouver. She will sell cheaply, for a big place like that in a small village like the glen will not be very easy to dispose of. Well, it's certainly a beautiful place, so it is likely she will find a purchaser, said Anne, absently, wondering whether she should hem stitch or feather stitch little gem's short dresses. He was to be shortened the next week, and Anne felt ready to cry at the thought of it. Suppose we buy it, Anne, remarked Gilbert quietly. Anne dropped her sewing and stared at him. You're not an earnest Gilbert. Indeed I am, dear. And leave this darling spot, our house of dreams, said Anne incredulously. Oh, Gilbert, it's unthinkable. Listen patiently to me, dear. I know just how you feel about it. I feel the same, but we've always known we'd have to move someday. Oh, but not so soon, Gilbert. Not just yet. We may never get such a chance again. If we don't buy the Morgan place, someone else will. And there is no other house in the glen we would care to have, and no other really good site on which to build. This little house is, well, it is and has been what no other house can ever be to us, I admit. But you know it is out of the way down here for a doctor. We have felt the inconvenience that we've made the best of it. It's a tight fit for us now. Perhaps in a few years, when Jim wants a room of his own, it will be entirely too small. Oh, I know, I know, said Anne, tears filling her eyes. I know all that can be said against it, but I love it so, and it's so beautiful here. You would find it very lonely here after Leslie goes, and Captain Jim has gone too. The Morgan place is beautiful, and in time we would love it. You know you have always admired it, Anne. Oh yes, but this has all seemed to come up so suddenly, Gilbert. I'm dizzy. Ten minutes ago I had no thought of leaving this dear spot. I was planning what I meant to do for it in the spring, what I meant to do in the garden. And if we leave this place, who will get it? It is out of the way, so it's likely some poor, shiftless wandering family will rent it, and overrun it, and oh, that would be desecration. It would hurt me horribly. I know, but we cannot sacrifice our own interest to such considerations, Anne, girl. The Morgan place will suit us in every essential particular. We really can't afford to miss such a chance. Think of that big lawn with those magnificent old trees, and of that splendid hardwood grove behind it, twelve acres of it.  There's a fine orchard too, and you've always admired that high brick wall around the garden with the door in it. You've thought it was so like a storybook garden, and there is almost as fine a view of the harbor and the dunes from the Morgan places from here. You can't see the lighthouse star from it. Yes, you can see it from the attic window. There is another advantage, Anne, girl. You love big garrets. There's no brook in the garden. Well, no, but there is one running through the maple grove into the Glen pond, and the pond itself isn't far away. You'll be able to fancy you have your own lake of shining waters again. Well, don't say anything more about it just now, Gilbert. Give me time to think, to get used to the idea. All right, there is no great hurry, of course. Only, if we decide to buy, it would be well to be moved in and settled before winter. Gilbert went out, and Anne put away little gem short dresses with trembling hands. She could not sew any more that day. With tear-wet eyes, she wandered over the little domain where she had reigned so happy a queen. The Morgan place was all that Gilbert claimed. The grounds were beautiful, the house old enough to have dignity and repose and traditions, and new enough to be comfortable and up to date. Anne had always admired it, but admiring is not loving, and she loved this house of dreams so much. She loved everything about it, the garden she attended and which so many women had tended before her, the gleam and sparkle of the little brook that crept so roguishly across the corner, the gate between the creaking fir trees, the old red sandstone step, the stately lombardies, the two tiny quaint glass cupboards over the chimney piece in the living room, the crooked pantry door in the kitchen, the two funny dormer windows upstairs, the little jog in the staircase, why these things were a part of her. How could she leave them? And how this little house, consecrated of foretime by love and joy, had been re-consecrated for her by her happiness and sorrow. Here she had spent her bridal moon. Here we joys had lived her one brief day. Here the sweetness of motherhood had come again with little gem. Here she had heard the exquisite music of her baby's cooing laughter. Here beloved friends had sat by her fireside. Joy and grief, birth and death, had made sacred forever this little house of dreams. And now she must leave it. She knew that, even while she had contended against the idea to Gilbert. The little house was outgrown. Gilbert's interest made the change necessary. His work, successful though it had been, was hampered by his location. Anne realized that the end of their life in this dear place grew nigh, to face the fact bravely. But how her heart ached. It will be just like tearing something out of my life, she sobbed. And oh, if I could hope that some nice folk would come here in our place, or even that it would be left vacant, that itself would be better than having it overrun with some horde who know nothing of the geography of dreamland and nothing of the history that has given this house its soul and its identity. And if such a tribe come here, the place will go to rack and ruin in no time. An old place goes down so quickly if it is not carefully attended to. They'll tear up my garden, and let the Lombardies get ragged, and the pailing will come to look like a mouth with half the teeth missing, and the roof will leak, and the plaster fall, and they'll stuff pillows and rags in broken windowpains, and everything will be out at elbows. Anne's imagination pictured forth so vividly the coming degeneration of her dear little house that it hurt her as severely as if it had already been an accomplished fact. She sat down on the stairs and had a long, bitter cry. I was concerned what the trouble was. You have not quarreled with the doctor. Have you now, Mrs. Doctor, dear? But if you have, do not worry. It is a thing quite likely to happen to married couples, I am told, although I have had no experience that way myself. He will be sorry, and you can soon make it up. No, no, Susan, we haven't quarreled. It's only... Gilbert is going to buy the Morgan Place, and we'll have to go and live at the Glen. And it will break my heart. Susan did not enter into Anne's feelings at all. She was indeed quite rejoiced over the prospect of living at the Glen. Her one grievance against her place in the little house was its lonesome location. Why, Mrs. Doctor, dear, it will be splendid. The Morgan House is such a fine big one.   And this house is too small already for us. We have no spare room since Mrs. Moore is here, and that pantry is the most aggravating place I ever tried to work in.  Besides, it is out of the world down here. There is really nothing at all but scenery. Out of your world, perhaps, Susan, but not out of mine, said Anne with a faint smile. I do not quite understand you, Mrs. Doctor, dear, but, of course, I am not well educated. But if Dr. Blythe buys the Morgan Place, he will make no mistake, and that you may tie to. They have water in it, and the pantries and closets are beautiful, and there is not another such seller in P.E.I.L. that you may tie to. They have water in it, and the pantries and closets are beautiful, and there is not another such seller in P.E.I.L. so I have been told. Why, the seller here, Mrs. Doctor, dear, has been a heartbreak to me, as you well know. Oh, go away, Susan, go away, said Anne for Lornley. Sellers and pantries and closets don't make a home. Why don't you weep with those who weep? Well, I never was much hand for weeping, Mrs. Doctor, dear. I would rather fall to and cheer people up than weep with them.  You did very well and has served your turn, but it is high time you had a better. Susan's point of view seemed to be that of most people. Leslie was the only one who sympathized understandingly with Anne. She had a good cry, too, when she heard the news. Then they both dried their tears and went to work at the preparations for moving. Since we must go, let us go as soon as we can and have it over, said poor Anne with bitter resignation. You know you will like that lovely old place at the Glen after you have lived in it long enough dear memory is woven about it, said Leslie. Friends will come there as they have come here. Happiness will glorify it for you.  Anne and Leslie had another cry the next week when they shortened little gem. Anne felt the tragedy of it until evening when in his long nighty she found her own dear baby again. But it will be rompers next and then trousers and in no time he will be grown up, she sighed. Well, you would not want him to stay a baby always, Mrs. Dr. Dear, would you, said Susan? Bless his innocent heart. He looks too sweet for anything in his little short dresses with his dear feet sticking out and think of the save in the ironing, Mrs. Dr. Dear. Anne, I have just had a letter from Owen, said Leslie, entering with a bright face and oh, I have such good news. He writes me that he is going to buy this place from the church trustees and keep it to spend our summer vacations in. Anne, are you not glad? Oh Leslie, glad isn't the word for it. It seems almost too good to be true. I shan't feel half so badly now that I know this dear spot will never be desecrated by a vandal tribe or left to tumble down in decay. Why, it's lovely, it's lovely. One October morning, Anne wakened to the realization that she had slept for the last time under the roof of her little house. The day was too busy to indulge regret and when evening came the house was stripped and bare. Anne and Gilbert were alone in it to say farewell. Leslie and Susan and little Jim had gone to the Glen with the last load of furniture. The sunset light streamed in through the curtainless windows. It has all such a heartbroken, reproachful look, hasn't it, said Anne? Oh, I shall be so homesick at the Glen tonight. We have been very happy here, haven't we, Anne, girl? said Gilbert, his voice full of feeling. Anne choked, unable to answer. Gilbert waited for her at the fir tree gate while she went over the house and said farewell to every room. She was going away, but the old house would still be there, the seaward through its quaint windows. The autumn winds would blow around it mournfully and the grey rain would beat upon it and the white mists would come in from the sea to unfold it and the moonlight would fall over it and light up the old paths where the schoolmaster and his bride had walked. There on that old harbour shore the charm of story would linger. The wind would still whistle alluringly over the silver sand dunes. The waves would still call from the red rock coves. But we will be gone, said Anne through her tears. She went out, closing and locking the door behind her. Gilbert was waiting for her with a smile. The lighthouse star was gleaming northward. The little garden, where only merry-gold still bloomed, was already hooding itself in shadows. Anne knelt down and kissed the worn old step which she had crossed as a bride.  End of Chapter 40 End of Anne's House of Dreams by Lucy Maud Montgomery


There you guys click a little share on this This here is a very crude it's a LM 1875 and It's taken directly from the data sheet That's the schematic I didn't have a 200k resistor game between 4 and 2 so I put a 220 there But everything else is pretty much Everything else is as it is there on the date sheet And just to show that it can be set to a sort of pretty crudely I've only got one channel I've already got one channel on this that actually works.  I don't have any Any any heatsink on there, so I'm not gonna It's not getting warmer or anything, but I'm not gonna push it. Oh, yeah Just to show that I'm gonna look at that look a mess that is Bloody wires all over place I Don't have actually I don't have any music on my phone because the headphones suck. It's broken It only works in mono so I've been actually playing the music from then. I've just got like a mono connection going in Going into there onto that one make But as you can see it's it's very very crude it's just chucked together in that socket board But it goes to show that you know you can get these things to work and work reasonably okay Even if and it's not using a So using a single supply that So we've not got a negative voltage on there, and I'm just Taking that already off here 10 and a half volts basically And it works So if anybody out there was thinking oh, I don't know about setting up one of these LM 1875 Do it. It's just taking me about half an hour. Just chuck these together something longer to find the parts I Pretty simple I Have actually brought all of the earth's down All the grounds come down to this this part here like if it was in a star ground fashion and then the positive connection just comes in there so it's It's it's terribly set up But then it's not too terrible. It could be worse, you know, I could be having Lots of different connections for ground on this and it wouldn't be happy at all from my understand From the other the setups that I've seen are much better in this I've had this chip for quite a while and didn't think I'd be able to set it up It seemed a little bit too strict and complicated And it just goes to show that it does work and it doesn't I can't hear I couldn't hear any distortion on it No, the radio signal coming in through here isn't very good because it's supposed to have headphones on and that's a little bit of wire I've got as an aerial So I'm quite happy that it worked at all without making lots of horrible noise or You know having some sort of a motorboat type effect going on Anyway, I believe that would have been down to a dodgy capacitor I'm not sure completely And that's why I've sort of got a bit of an understanding of So anyway There we go LM 1875 crude and rude, but it works I'll do another one. I'll set one up better and do another one at some stage But I just thought I'd have a little play with that and see if I could get it to work And I'll use some very basic parts like so you can see on the schematic of your rewind back And and it does work. So you can get a bit of instant satisfaction Anyway Cheers watching


My name is Dr. Thomas Kishan. I am a spine and scoliosis surgeon at Manipal Hospital, Bangalore. I specialize in spine surgeries in the lower back and in the cervical spine which includes dyskectomy surgeries, decompression surgeries, fusion surgeries and even scoliosis and kyphosis surgeries. I would like to convey to you physical consultation is advisable as opposed to video consultations. We have been doing video consultations over the lockdown but there is a limit or a limitation to video consultations in making a diagnosis and offering offering treatment solutions. So if you have significant symptoms that relating to the spine, I would advise you to seek a physical consultation and not to ignore your primary symptoms or primary illness. At Manipal Hospital we've taken very stringent precautions in the form of creating a separate COVID ward area. A separate entrance is kept in the interest of safety. Our OPD and IPD services remain open and risk stratification is in place. Thus we recommend you to consider visiting us for a physical consultation if your symptoms warrant and not to ignore your symptoms. Please visit our website to make an appointment or call a helpline if you need any assistance.


British Sign Language Scotland Bill. Call for evidence by the Education and Culture Committee. The Education and Culture Committee invites your views on the British Sign Language Scotland Bill. The Bill was introduced in the Scottish Parliament by Mark Griffin MSP on 29 October 2014. The Bill and accompanying documents are on the Parliament's website in the current Bill's section. What the Bill seeks to do. The purpose of the Bill is to promote the use of British Sign Language BSL. This includes requiring the Scottish ministers and specified public authorities, known as listed authorities, to prepare and publish BSL plans. What the Committee would like your views on. The Committee's role at Stage 1 of the parliamentary process is to report to the Parliament on the general principles of the Bill, that is, on its overall purpose. The Committee invites you to answer some or all of the questions further on to help it in scrutinising the Bill. You do not have to answer all the questions. General approach. Question 1. In the policy memorandum, Mark Griffin MSP says he considered a number of alternative approaches to achieve his intention of promoting BSL. For example, by establishing a voluntary code or adapting existing legislation such as the Equality Act 2010, he concluded that introducing the BSL Bill was the best approach. Do you think we need to change the law to promote the use of BSL, and if so, why? Question 2. Mark Griffin MSP hopes that the obligations under the Bill will, in practice, lead public authorities to increase the use they make of BSL, and the extent to which they are in a position to respond to demand for services in BSL. Financial memorandum paragraph 4. How realistic do you think this aim is, and to what extent do you believe the Bill can achieve this objective? Question 3. The Bill is solely about the use of BSL. Could there be unintended consequences for other languages or forms of communication used by the deaf community? Duties on the Scottish ministers. Question 4. The Bill will require the Scottish Government to prepare and publish a BSL national plan, section 1, and a BSL performance review, section 5, in each parliamentary session, that is, normally every four years. The Scottish Government will also be required to designate a minister with lead responsibility for BSL, section 2. What should this minister do? Question 5. The BSL performance review provides the basis for the Parliament to hold the Scottish ministers to account, and for ministers to hold listed authorities to account. If listed authorities say they will do something relating to the promotion of BSL, will the performance review process ensure they are held to account? BSL Authority Plans. Question 6. The Bill requires listed authorities to prepare and publish BSL authority plans in each parliamentary session. The Bill sets out what a BSL authority plan should include, section 3, subsection 3, and section 3, subsection 4. Do you have any comments on the proposed content of the plans? Question 7. The policy memorandum, referred to the diagram on page 6, explains the timescales for publication of authority plans. Do you have any comments on these proposed timescales? Question 8. In preparing its authority plan, a public authority must consult with those who are likely to be directly affected by the authority plan, or otherwise to have an interest in that plan. Section 3, subsection 6. And must take into account any comments made to it during the consultation. Section 3, subsection 5. What effect do you think these requirements will have on you or your organisation? Question 9. The Bill, scheduled to lists 117 public authorities that will be required to publish authority plans. Would you suggest any changes to the list of public authorities? Financial Implications. The estimated costs of the Bill are set out in the financial memorandum, which can be found on page 7 of the explanatory notes. The Finance Committee would welcome any views that could help it to scrutinise the Bill, including answers to the following questions. Consultation. Question 10. Did you take part in any consultation exercise preceding the Bill? And if so, did you comment on the financial assumptions made? Question 11. If applicable, do you believe your comments on the financial assumptions have been accurately reflected in the financial memorandum? Question 12. Did you have sufficient time to contribute to the consultation exercise? Question 13. If the Bill has any financial implications for your organisation, do you believe that they have been accurately reflected in the financial memorandum? If not, please provide details. Question 14. Do you consider that the estimated costs and savings set out in the financial memorandum are reasonable and accurate? Question 15. If applicable, are you content that your organisation can meet any financial costs that it might incur as a result of the Bill? If not, how do you think these costs should be met? Question 16. Does the financial memorandum accurately reflect the margins of uncertainty associated with the Bill's estimated costs and with the timescales over which they would be expected to arise? Wider issues. Question 17. Do you believe that the financial memorandum reasonably captures all costs associated with the Bill? If not, which other costs might be incurred and by whom? Question 18. Do you believe that there may be future costs associated with the Bill, for example, through subordinate legislation? If so, is it possible to quantify these costs? Please note that the Finance Committee has specific responsibility for scrutinising the costs of the Bill and so any responses to questions on the financial implications will be passed to that committee for consideration.


So we spend a lot of time and effort trying to determine whether a set of vectors is independent. But why bother? To answer this question, let's take a look at a couple of problems. Suppose v is a set of vectors, and let the coordinates of x with respect to v be a1 through an. Let b1 through bn be another set of coordinates of x with respect to v, where ai is not equal to bi for at least one i. In other words, at least one of these coordinates differs. And prove or disprove that v is independent. So there's quite a bit here, and it will help to review some key ideas. First of all, what do we mean by a set of coordinates? And so remember our coordinates are the coefficients of the linear combination that give us a particular vector. Next, we want to remind ourselves what we can do to prove or disprove that a set of vectors is independent. And that's going to occur depending on whether or not the linear combination equal to zero has any but the trivial solution. So let's take a look at our problem. Now we have two sets of coordinates for the same vector x, and that means x could be written as a linear combination using the a's, or it can be written as a linear combination using the b's. We'll rearrange our terms a little bit, and this gives us a linear combination of the v vectors equal to the zero vector. Now remember the assumption that we made is that ai is not equal to bi for at least one of the i's. So that means at least one of these coefficients is not equal to zero. And so that means we can write the zero vector as a non-trivial linear combination of the vectors in our set, which by our theorem means that the vectors are not independent. And again, a good habit to get into is to always ask yourself, self, what else does this tell me? And because the vectors are not independent, we also know that they don't form a basis. So let's flip the question around. Suppose our set of vectors is not a basis for the span of itself. Let's prove or disprove any vector in our vector space has an infinite number of sets of coordinates with respect to our basis. So again, we have our definition for basis, which depends on whether or not our set of vectors are independent, and we have our theorem on independence, which tells us when a set of vectors will be independent. So let's put those together. Since our set of vectors is not a basis, we know that linear combination equal to zero has at least one solution where at least one of our ci's is not equal to zero. So let's consider some vector in our vector space. The coordinates of that vector will be the coefficients of the linear combination that give us that vector. But I also know the coordinates of the zero vector. I know the coefficients of a linear combination that will give me the zero vector. And so if I add the two vectors together, x plus zero vector will be found by some linear combination. Well, x plus the zero vector is just the vector x. And so I have a linear combination that's equal to x, and the coefficients will give us the coordinates. Since we know that at least one of the ci's is not equal to zero, then at least one coefficient will be different. So this gives us a different set of coordinates for our vector x. And so now I have two sets of coordinates for x. So an important idea in mathematics is anything we can do once, we can do as many times as we want. So we can lather, rinse, repeat. Now that I have a set of coordinates for x, I can add the zero vector and get a new set of coordinates for x. And again, now that I have a set of coordinates for x, I can add the zero vector and get another set of coordinates for x. And in fact, we can generalize this. And so once I know one set of coordinates for x, I can produce as many sets of coordinates for x as I want to. And so any vector x will have an infinite number of sets of coordinates with respect to that set of vectors v. Well, again, we can flip the question. If we have something that's not a basis, then every vector has an infinite number of sets of coordinates. What if we have a basis and we'd like there to be only one set of coordinates? So let's try and prove that. Now a useful proof strategy. If you want to show that something is unique, you want to show that anything else with these same properties has to be the same thing. So suppose the coordinates for x are a1 through an, and that another set of coordinates for x are b1 through bn. Remember, the coordinates are the coefficients of the linear combination that give us the vector. And since they both give us the same vector, then if I use the a's as the coefficients, or if I use the b's as the coefficients, I should get the same thing. Now I'll rearrange these things so that I have a linear combination of the v vectors. And at this point I have linear combination equal to zero. And now is a good time to ask yourself, self, what do I know? And what we know is that a set of vectors forms a basis. And that means these vectors have to be independent. And that means the only way we get linear combination equal to zero is that all of the coefficients have to be equal to zero. So we know that a1 minus b1 has to be zero. So that tells us that a1 and b1 are the same thing. Likewise, a2 minus b2 must be zero. And so that tells us that a2 is equal to b2, and so on down the line. And that means that ai will be equal to bi for all values of i. So if I have one set of coordinates for x and another set of coordinates for x, then I can write the zero vector as a linear combination of the difference between the two coordinates. And since v is a basis, then ai and bi have to be the same for all i, and the two sets of coordinates are in fact the same. If we put these problems together, we obtain the following theorems. Our first problem said that if x had two sets of coordinates with respect to v, then v was not independent and couldn't form a basis. And we could flip that around. If v is not a basis, then any vector x has not only two, but an infinite number of sets of coordinates. And so this gives us a theorem that x will have an infinite number of sets of coordinates with respect to v, if and only if v is not a basis. Conversely, we found that if v was a basis, then every vector x will have a unique set of coordinates. And it works the other way around. If every vector x has a unique set of coordinates, then v is going to be a basis. And so we get the theorem x will have a unique set of coordinates with respect to our set of vectors v, if and only if our set of vectors v is a basis. And this is why it's so important to worry about independence. Independence of our set of vectors guarantees that we have a unique set of coordinates for every vector in our vector space. Thank you.


Perhaps more shocking than the rules that were broken by Owen Patterson with the rules that weren't Patterson you remember broke lobbying rules because he arranged governmental meetings for people who paid him But my initial reaction to this story was why was he getting paid by external private companies in the first place? Like all MPs Owen Patterson already had a well-paid job MPs make 82,000 pounds a year that puts them in the UK's top five percent of earners Being an MP should also keep anyone fairly busy diligent MPs report working upwards of 60 hours a week contributing to debates Drafting written questions and representing constituents So why did anyone think it was acceptable for someone such as Owen Patterson to have two external jobs which gave him obligations to provide time to these these private corporations instead of his constituents and which paid him an extra 112,000 pounds per year dwarfing the already handsome some He got for his what's supposed to be at least his main job Of course on this front Owen Patterson was not alone to get an idea of some other MPs who couldn't bear to live on 80,000 pounds a year These are some of Patterson's standout peers Andrew Mitchell is a former chief whip now a backbench Tory MP in 2020 on top of Mitchell's MP salary He earned an extra 240,000 pounds. This included 30,000 pounds for five days work with the accountancy firm Ernst and Young and 50,000 pounds plus shares and options for eight days at Equinox International Holdings Limited a private equity and adventure capital firm One wonders if those eight days work can really justify 50,000 pounds Or if the private equity firm sees other benefits to having an MP on their payroll Next up is Fiona Bruce another conservative. She earns a hundred and eighty thousand pounds on top of her MP salary Bruce practices law through her own firm in 2020 six separate consulting jobs and her the equivalent of up to 11,487 pounds per hour We can also show you Richard Fuller. He earned a hundred and seventy five thousand pounds in 2020 that was for committing two hours per month to a number of director ships and chairmen ships including a brand Protection firm a software company and a venture capital firm This is a man with his fingers in many lucrative pies Finally, we've got Sajid Javid someone I'm sure you will recognize before being appointed health secretary this year But after holding the position of Chancellor Javid bagged a job with JP Morgan, which paid him a hundred and fifty thousand pounds a year To receive that some Javid worked six to eight hours per month meaning the role paid at least 1,875 pounds per hour We should note that unlike Owen Patterson, none of the MPs mentioned here have been found to have broken any Lobbying rules, but you've got to wonder why these firms would pay MPs so much money for working just a few Hours a month. Even these are exceptionally productive people some of the most productive people in the world worth a thousand 1,800 pound a month or they aren't just being employed For their labor power. Ash, why does anyone think this is acceptable? Why is this normal that we have MPs whose side jobs pay them more than their main job? Because the people who would be trusted to fix this are the ones who benefit financially from this arrangement I think that an awful lot of MPs Don't see a conflict between representing their constituents You know being entrusted with our democracy and being paid to effectively be the voice of capital or particular Corporations while they are in Parliament and that's something which is really really wrong The simplest way to get rid of this would be to impose just a blanket ban on MPs having Second jobs while they are in fact MPs you could obviously make certain exemptions For example, if you are an MP and a local councillor at the same time something like that You know, there are ways to do this where it's reasonable But it's perfectly obvious to me that if what you're doing is six to eight hours work a month that you're being paid 150,000 pounds what you're being remunerated for is not the actual work you're doing it's being an MP with you know prospects you can you know one day Get back a cabinet post and that's worth investing in if you're an organisation like JP Morgan or you know Ernst & Young or a venture capital firm or whoever else you're paying for influence Even if you're more subtle And that's egregious a rule breaker than own Patterson You are still effectively a shill for a corporation while you should be doing your job representing your constituents What justifies it so some people say oh 80,000 pounds isn't enough as I've said That does put you in the top 5% of earners in Britain. So if you don't think that's enough you should probably You know be you're the lawmakers Maybe you could increase people's wages if you don't think 80,000 pounds is enough to live on you could increase everyone else's wages I mean, some people think 80,000 pounds isn't enough though Tory MP Peter bottom Lee wrote an article on Thursday headlined To prevent another scandal pay MPs more This follows a recent interview in the evening standard where the same theme was raised in that piece We discovered that Sir Peter who has been in the common since 1975 and is its longest serving MP said he is currently not struggling financially But he believes the situation is desperate for newer colleagues. He added. I don't know how they manage It's really grim Remember as I keep saying the incomes. He is described during the top 5% of British salaries If you think that is grim then can you please change some laws because how do you think it is like to live on? You know 20 grand or the median wage was about 27. No, this is this doesn't stand up That was bottom Lee's argument for higher pay Yet even if MPs did get that pay rise he still doesn't think that should preclude them taking other well-paid jobs This isn't one of those arguments where people say we should ban second jobs But that means we'll have to raise their salary. No, he wants both second jobs and get paid more So this was his argument for why they should be allowed to have second jobs This was in the Times article the headline of which I just showed you so he writes to those who say no outside earnings I asked whether Michael Foote should have refused his book royalties or put down his pen While he was an MP Peter Fernum was a redundant engineer He used his payoff to buy machine tools and created a thriving metal-forming business It would have been over the top to disqualify him from the commons unless he's sold up So those are the two examples of MPs having second jobs or second sources of income that Peter bottom Lee thinks are most persuasive as to why they shouldn't be banned Personally, I think Michael Foote could have donated those royalties to charity and sorry Peter It doesn't seem to me that one successful steel foam is good enough reason to risk the corruption of our entire parliamentary system Look, it's a really cynical pair of examples to use which is somebody on the left who's written a book and you know somebody who is Has got proximity to manual labor. That's plainly not what we're seeing with, you know, the 72 landlords Who voted against the law which would have made homes Fit for human habitation That's not what we're seeing with Saja Javid earning hundreds of thousands of pounds from a giant global bank That's certainly not what we were seeing with own Patterson either But again, if you wanted to you know, just have a blunt instrument of a law and wipe out second jobs entirely do it Do it the loss that I think that you would get from people who maybe have sources of income Which aren't so egregiously exploitative or corrosive to our democracy for instance Rosina Alan Khan who is still a practicing doctor I Think is more than made up for by what you gain in MPs Who aren't either formally or informally being paid to be lobbyists for a private corporation There's all these these good deeds that MPs could do He wouldn't want to stop them doing that and going out in society and you know helping people in a hospital or whatever Well, if that's their real motivation if their real motivation is to contribute to society Maybe any income could go to some members of Parliament charitable trust which goes to some, you know Charity that everyone agrees is a good thing birds. Maybe RSPB or something something that everyone on all sides of the house can agree It's fine. It goes to that or the National Lottery something like that Not even the NSPCC Michael, you were like, you know what? I think parliamentarians They're a bit split on abused children The past decade would show that there are many Tory MPs who are happy to punish kids So, I mean, that is true. I haven't seen them punish birds So I I would place money on the RSPB being the one that gets the least complaints I don't know you say you say you've not seen them punish birds But Richard Drax who was one of the Tory MPs who was being investigated by the standards committee and voted to scrap it He had failed to declare his I think 150 acre or something grouse more land So he basically maintains a spread of land in Yorkshire, which is used solely for hunting really stupid and defenseless birds So, I don't know