Solution: Given sequence is, 1, 3, 5, 7, 9…… The sequence of A.P: The n th term a n of the Arithmetic Progression (A.P) a, a+d, a+2d,…a, a+d, a+2d,… is given byĪrithmetic Mean: The arithmetic mean between a and b is given by A.M=\(\frac \) Solved Examples Question 1: If 1, 3, 5, 7, 9…… is a sequence, Find Common difference, nth term, 21st term Sequence is defined as, F 0 = 0 and F 1 = 1 and F n = F n-1 + F n-2 Sequence and Series Formulas If the reciprocals of all the elements of the sequence form an arithmetic sequence then the series of numbers is said to be in a harmonic sequence.įibonacci numbers form a sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Some Common SequencesĪ sequence in which every term is obtained by adding or subtraction a definite number to the preceding number is an arithmetic sequence.Ī sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence. In case of an infinite series, the number of elements are not finite i.e. Series: In a finite series, a finite number of terms are written like a 1 + a 2 + a 3 + a 4 + a 5 + a 6 + ……a n. Sequences: A finite sequence stops at the end of the list of numbers like a 1, a 2, a 3, a 4, a 5, a 6……a n. whereas, an infinite sequence is never-ending i.e. However, there has to be a definite relationship between all the terms of the sequence. So, the second term of a sequence might be named a 2, and a 12 would be the twelfth term.Ī series termed as the sum of all the terms in a sequence. The terms of a sequence usually name as a i or a n, with the subscripted letter i or n being the index. The numbers in the list are the terms of the sequence. 2.1 Question 1: If 1, 3, 5, 7, 9…… is a sequence, Find Common difference, nth term, 21st term Sequence and Series FormulaĪ sequence is an ordered list of numbers.
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If you have any questions do not hesitate to give us a shout, with any questions you have. These pup's go fast, so getting an application in is most helpful, and gets you in the first to call list. Have any questions Please give Landslide Boxers a call: Cindy 43 or email If we have no available litters or are you are interested in the "coming soon" litters please send an email so we may send you an application to fill out. Sometimes the puppy picks you, if he hasn't been picked already. Boxer Parents, Aunts and Uncle's are on the premises, so come and enjoy. As fun as it may be for you and your dog who want to come an see pup's, your four legged friend must stay home. Of course she is protective of her baby's so no one is allowed to come until after their first shot. Please go and have a look at these fine litters, you wont be disappointed. Boxers and Miniature Schnauzers are family dogs who love to interact with you. Williams is so helpful to give you the right information so you can make your best decision with as much insight as possible. If you decide to find your boxer friend elsewhere, no worries, Ms. You must know what and what not to breed." As you can clearly see Cindy tells it like it is, and will answers all your questions no matter how silly you might think they are, even if you don't like the answer. You must know your blood line and health, to breed the very best you can, so the new family is not heart broken with the results of a bad breeding. " If your going to breed boxers you just don't take your pet and have a litter. Williams has been breeding boxers for over 30 years and has an excellent reputation for quality, temperament and a love for the breed. Be sure you are selecting the right boxer for you, and that you’re getting the right pup for your needs and home life. Williams has been with AKC's Breeding program for over 30 years with her beautiful Boxers. Williams encourages all prospective puppy owners to do their own research and be prepared with questions to ask the breeders about puppy's they are inquiring about. Taking the time to do research to make sure blood lines are right to produce the finest and healthiest boxers in Virginia. Cindy Williams has lived in Virginia all her life and breeds beautiful Boxers. Take-Out Delivery Superb 379 Reviews 4. I would love to see a place like that here. Coyote Bluff Cafe 2417 S Grand St, Amarillo Stopped in on the way to Colorado very glad we did One of the best burgers I have had period. The Kettle was a nice little dive that was a lot like Ryans with their chicken fry, liver and onions, and never ending breakfast menu. Any time of day you could order anything from breakfast to liver and onions. Yelp: 4.5 Stars - 134 Reviews If were talking about good Texas eats (and we are), you know that barbecue is going to crack the list. Amarillo, Texas, boasts a dynamic and diverse dining scene that is sure to satisfy the most discerning food enthusiasts. We need a real good, old fashioned, 24 hour Diner. Address: 8130 Interstate 40 Frontage Road, Amarillo, TX 79106. Make your vacation days count at Hyatt Place Amarillo-West, located off I-40 and historic Route 66. Unfortunately, at the moment, we do not have a 24 hour Walmart. If we just had a Walmart in town that was "with the times" and open 24 hours, as God intended, then I would just swing by the store and get what I need to make my own food. A handful of bad experiences at different Denny's, and I don't go as much as I used to. If you're craving iHop, wait until 3 AM to go.ĭenny's is one that's tough for me. Fuzzys Taco Shop Texas Firehouse El Tapatio Bagel Place Drunken Oyster. Forget trying to go to an iHop on any given Sunday after the sun has come up. Get breakfast, lunch, dinner and more delivered from your favorite restaurants right to your doorstep with one easy. Panda Express (2416 South Georgia Street) Chipotle Mexican Grill (2414 S Georgia. IHop also gets a pass from me most of the time, especially late at night. 24 Hours Food Delivery in Amarillo Panda Express (2416 South Georgia Street). their highest 24 - hour total since 2.01 inches fell during the 15.7. I'm glad they were open at 4 AM when my son was in the hospital and I could sneak away to get something to eat for a few minutes. ( excluding West Texas ), the warmth promoted rapid winter wheat development. It's one of my favorite places to eat at. I always enjoy the Baby Back Ribs and the Paradise Pie. The end result: I left behind my corporate career and I am now blessed to be the owner of Amarillo Home Care Assistance.I love Waffle House. Butler's Martini Bar Tuesday-Saturday Happy Hour from open until 9pm with great Drink Specials everyone can enjoy Chili’s Chili's Restaurant & Bar 'Great food. These amazing people touched me so deeply that I knew I had to stay connected with their goodness and compassion. I was especially reassured by their focus on providing care in a holistic way, addressing every part of seniors’ wellbeing-physical, mental, emotional, and spiritual. Compassionate and devoted, their sole purpose was to make sure my parents received high-quality care delivered with empathy and dignity. I knew I needed someone like Laura and Beth to care for my own parents.Īs soon as I connected with the Amarillo Home Care Assistance family I knew I’d found the right people. If you haven’t tried Abuelo’s, stop by our Amarillo location for the best Mexican Food around. You can order your Abuelo’s authentic Mexican Food To Go here. Whether youre craving breakfast, lunch, a romantic dinner or a late night bite, our 24-hour room service offers an extensive menu of gastronomic goodies and. Both truly loved people and wanted to make a difference in their lives. We continue to do Curbside, Takeout and Delivery. Along the way I met Laura and Beth, two extraordinary caregivers I’ll never forget. Having spent much of my life working with home healthcare agencies and residential facilities, I’ve observed all levels of care. My father has mobility issues due to back surgery and my mother is living with dementia. Not that long ago, I was searching for a home care solution for my 88-year-old parents who refused to leave the family farm. Mounting evidences accumulated in the last two decades indicate that fragmented hTTR, represented by a mixture of C-terminal fragments starting at positions from 44 to 59, is the standard composition of amyloid deposits of wild type and mutant hTTR in patients with either hereditary ATTR 9, 19, 20, 21, 22, 23 or acquired SSA 19, 24, 25. At variance, type B fibrils have an elongated/slender shape and almost exclusively contain full-length hTTR 19, 20. Type A fibrils are short-sized and mainly contain C-terminal fragments of hTTR with some intact hTTR molecules. Furthermore, the use of non-invasive imaging techniques recently allowed to reveal the presence of hTTR amyloid deposits in about 15% of older patients with heart failure or aortic stenosis and to estimate a prevalence of hTTR-related cardiomyopathy in 1–3% of elderly people >75 years of age 17, 18.Īnalysis of hTTR amyloid deposits that are found in vivo allowed to identify two distinct types of amyloid fibrils, i.e., type A and type B fibrils. Indeed, hTTR amyloid fibrils were found in 25% of post-mortem hearts from patients >80 years of age 11. Recent data suggest that SSA-related cardiomyopathy has been often overlooked as a common cause of heart failure in older adults 12, 13, 14, 15, 16, 17, 18. Nevertheless, the prevalence of ATTR in Europe is 75 years), it is generally associated to cardiomyopathic complications, and leads to progressive heart failure 10, 11. ATTR is a rare hereditary disorder with a relatively early age of onset, usually 100 single point mutations affecting the hTTR gene and it has been recognized as the most common cause of hereditary amyloidosis worldwide 9. HTTR is one of the 25 proteins related to the onset of amyloid-based diseases 5 and, indeed, hTTR aggregation causes amyloidosis, which is associated to two different pathological conditions, i.e., familial amyloidosis (ATTR) and senile systemic amyloidosis (SSA) 6. The two dimers then weakly interact to form the final tetrameric structure, stabilized by hydrophobic interactions involving the A-B and G-H loops 2, 3, 4. The monomers tightly interact, mainly through hydrogen bonds networks between adjacent antiparallel β-strands H-H′ and F-F′, to form stable dimers. Each β-sheet is formed by four strands (β-sheet I: H-G-A-D strands β-sheet II: C-B-E-F strands), while the α-helix is located between strands E and F 2, 3, 4. Each hTTR monomer consists of 127 amino acids and forms eight β-strands, named from A to H, which are arranged in a β-sandwich of two β-sheets (I and II) and one small α-helix. In its native tetrameric conformation, hTTR transports thyroid hormones in the blood and cerebrospinal fluid along with retinol as a binding partner of retinol binding protein 1. Human transthyretin (hTTR) is a 55-kDa homotetrameric protein, mainly produced in the liver and brain, and abundantly present in human plasma (0.18–0.45 mg/ml) 1. To the best of our knowledge, these findings highlight a novel pathogenic mechanism for SSA whereby increased permeability of the gut mucosa, as often occurs in elderly people, allows subtilisin (and perhaps other yet unidentified bacterial proteases) to reach the bloodstream and trigger generation of hTTR fragments, acting as seeding nuclei for preferential amyloid fibrils deposition in the heart. Here, we show that subtilisin secreted from Bacillus subtilis, a gut microbiota commensal bacterium, translocates across a simulated intestinal epithelium and cleaves hTTR both in solution and human plasma, generating the amyloidogenic fragment hTTR(59–127), which is also found in SSA amyloids in vivo. Fragmented hTTR is the standard composition of amyloid deposits in SSA, but the protease(s) responsible for amyloidogenic fragments generation in vivo is(are) still elusive. Aggregation of human wild-type transthyretin (hTTR), a homo-tetrameric plasma protein, leads to acquired senile systemic amyloidosis (SSA), recently recognised as a major cause of cardiomyopathies in 1–3% older adults. Goals include efficient data storage and sharing, universal high-speed Have been organized to optimize film input/output and graphics operation In the Du Art Digital department, where SGI, Mac, and Windows/NT systems Sound and video editing, film scanning and printing, and telecine, primarily To "bring Du Art into the 21st century," I've worked on theĬomputers in the firm's various divisions, including digital graphics, 5/99 - 7/04: Consultant - Du Art Film & Video, NYC Continuing work involves IT issues with Macs and Windows workstations, encoding A/V to various formats for web distribution, and other technical areas. Initial task of installing a Final Cut Pro editing system and integrating it into the facility led to major upgrade of the infrastructure, including installation of routing switchers, patch bays and cabling for analog and digital A/V, control and FireWire signals. 2/06 - 12/07: Consultant - Tobin Productions Inc., NYC Of web sites for various clients including:Īnd others. Independent web site design and programming Maintenance (1991) Softimage - programmers' interface for animation products Yourdon - Structured Programming Methods (1981) SGI - 3D Graphics Processor Labs (1969-1971): Transmission Systems Design, Fourier Optics, Human Factors Their productivity, and streamline the creation of the final product.Įngineering - The Cooper Union, 1967 Honors: Tau Beta Pi, Eta Kappa Nu My ultimate goal is to make tools subservient to the artists, maximize Technical expertise, I have strong artistic and human sensibilities whichįocus my efforts on the creative process and the convenience of the user. Web site designs including static and dynamic pages. System and network configuration and administration on SGI, Picture file manipulation and video/graphics interfacing on high-end graphics Programming, hardware/software integration and device drivers, user interfaces Systems, original designs and customization of commercial software real-time Software for tape editing control, telecine color correction SGI workstations (C and UNIX shell, since late 1980s) web (HTML, JavaScipt, On many platforms: IBM mainframes (Fortran, 1960s) DEC PDP-11s, IntelĪnd Motorola micros (assembler and C, 1970-80s) Macintosh (C, since 1984) Various digital video translators and machine controllers/interfaces. This has involved designing and building hardware, such as theįirst computer-assisted color corrector for telecine (1978 patent), and I have specialized in customizing tools for artists, filling in gaps leftīy manufacturers, enabling disparate devices to be operated as a single Installing, interfacing and maintaining virtually every type of equipment. Through over 30 years of work in the broadcast field, designing, configuring, And practical video background acquired at Bell Labs has served me well Her haste is apparent because the site is awful and looks like it was created back in the 90s by a stupid person. Later, Sempai shows the club the website she created in a single night. Both methods seem to really piss Assistant off, but at least in the latter, he got to eat a bunch of miniature oranges. Next, we get some private time with just Sempai and Assistant where she tries both mentalism and magic involving those tiny little oranges you give your kids as lunchtime snacks. Nobody’s idea works, but the experiment ends with Saki accidentally getting topless instead of Sempai. Of course, she doesn’t know how the trick works, so the club is forced to brainstorm. First, somebody wears a creepy mask, and then they change the mask in a split second. While Assistant images it’ll involve her wearing Chun-Li cosplay, it’s really all about mask-play. In the next episode, Sempai wants to try Chinese magic. The whole experiment is closer to a horror show than a type of therapy and is weird for their relationship. This time, he tries hiding around the room while pretending not to be there. Once again, Assistant tries to cure Sempai of her stage fright. Good thing, too, because Sempai almost doesn’t survive under those simplified perils. Instead, he has the genius idea of tying just her arms with yarn-instead of her entire body with chains. Assistant, however, doesn’t want her bound underwater because he’s afraid she’s going to die. Then, at the pool, Sempai wants to do an amazing escapologist trick. Sempai finds moderate success posing as a human statue, but most of her spectators want to either lift up her skirt or pay her for fetishist delights. The lady magician helps her, but unfortunately, the new batch gets mixed up with a batch Sempai made for Assistant and Masa winds up eating magic-laced cookies.Īt the park, the gang tries their hand at fundraising after the school saddles them with an unsatisfying budget. Since she wants to impress her brother with a perfect batch of cookies-in an incestuous way-she asks Sempai for help. Saki, who sucks at baking, notices Sempai has quite a knack for it. I am cumming.Sempai and Saki are in conjoining baking classes. His penis begins to actually in reality really feel unusual. This heat position is known as naughty hentai porn tube pussy. Sure, inside of in that small wet hollow. Her relaxed, large, superb hentai porn tube tits will fuck his penis. His cock develop into actually laborious and large. The sensei corrects him, it is getting ready to take a person in. After that it is getting actually slimy and wet. She must unfold somewhat wider as a result of he can’t see it actually well. Misaki-sensei spreads her legs and displays him a lady’s most respected position. Be refined by means of sucking my nipples or touching my pussy. However ahead of they will revel in, they wish to take a hentai porn bathe. Her skirt is off and he can see how the feminine frame seems to be in precise. Most likely we can get started with an apple juice in a different way you wish to have to take a bath first? She kisses him and let him make her superb tits unfastened. She is worked up to have the same opinion him. Sensei, please train me a couple of hentai porn tube feminine frame. Her monster boobs are swaying so horny from one facet to every other when she leaned in opposition to to him. He visits his most cute instructor at past due night and he or she wonders why he did it. She is a feminine instructor Misaki-sensei and her secret admirer is the small boy Kazama-kun. His libido goes to blow up and take over when he simply imagines about her large tits and candy hentai porn tube pussy. At some point he’s simply gonna lose his virginity with a lady like her. His school instructor is so cute, candy and tasty. An Admiration love and distress right through the school naughty hentai porn tube Boku to Misaki-sensei, the younger boy hasn’t ever had such a lot of feelings in opposition to any person in his lifestyles. Indeed, the film starts off as if she were the central figure before the focus shifts to her teacher, then fragments into a classwide diffusion. The key student is Eva, played by April Lee Hernandez with a bitter scowl darkening her strikingly beautiful face. Strangely but presumably to maintain a PG-13 rating, the film never touches on the teens’ sexual activity. Only in the margins do the students share their lives with viewers - abuse, broken homes, drive-bys, drugs and racism are everyday challenges. Before you know it, her class is one big rainbow coalition/summer camp love-in. She turns a racist classroom drawing into a brilliant teaching aid and instinctively realizes that reading “The Diary of Anne Frank” will hugely impact her students’ outlooks. Remarkably, she quickly turns into a savvy teacher with seemingly years of experience. Brimming with self-confidence over her lesson plans and holding a concept of inner-city youths that can charitably be called naive, Erin is shocked by the blatant disrespect, racism and hostility exhibited by her students. Swank’s name might boost the urban drama’s boxoffice potential into the $25 million-$30 million range, which considering its modest budget would be a success.Īccording to this movie, written and directed by Richard LaGravenese, Erin Gruwell (Swank) comes to Wilson High School after the Rodney King riots, much like Alice the day she fell down that rabbit hole. The film has inspired moments and fine performances from its young actors. On the other, there are these students starting to make connections between their lives and the lives of others through introspective writing. On one hand, this is a Hilary Swank vehicle with undue focus on the mundane problems - at least compared to the high drama in her students’ lives - of a neophyte teacher. So the Hollywood development process has produced a movie at war with itself. Sylvester Stallone Says Before Adele Bought His Mansion, She Told Him "No Deal" Without 'Rocky' Statue
Visit r/AskPolitics or r/PoliticalDiscussion to have these types of conversations. This type of digression is unsuitable for r/answers. Political questions without a definitive answer often devolve into partisan mudslinging. The best responses to medical questions have always been to actually see a doctor, so we're explicitly banning these types of questions. In the worst case, you could be convinced that a real issue isn't something to worry about. The users of r/answers aren't guaranteed to be qualified medical professionals, and if you're facing a medical issue, relying on the advice of random strangers is potentially dangerous. These questions would be better suited for /r/advice or /r/relationship_advice This includes questions about relationship advice. r/answers is for reference questions with definitive answers (or sets of answers), not questions where personal preference comes into play, or people might disagree on answers. These questions will be better for /r/DAE or /r/AskReddit. Additional context for questions can be added to the body of the post. Post titles must be a question and nothing more. If your question doesn't have a definitive answer, or people might disagree on the "correct" answer, it's not a good fit for r/answers. R/answers is for reference questions with definitive answers. If you see such posts or comments that violates the rules, please report them. Please note that " /r/AskReddit" style posts, troll/shit posts, or other extremely inappropriate posts will be removed.ĪLL comments must be helpful and related to the topic at hand. Especially things someone else might Google for some day. Everything you ever wanted to know about anything but were afraid to ask. Otherwise as long as the initial matrix is only approximate (i.e. If they give eigenvalues with small imaginary parts then you can discard those if you know that the eigenvalues should be real. Most likely though computing exact eigenvalues like this is not what you want to do and you should instead use NumPy/SciPy. I recommend having gmpy2 installed if you want to do this because it makes exact rational numbers in SymPy a lot faster. Scaling up to 100x100 will be slow but might be possible. So already finding the exact integer eigenvalues of a 40x40 matrix takes 30 seconds. Out: ĬPU times: user 652 ms, sys: 2 µs, total: 652 msĬPU times: user 6.1 s, sys: 0 ns, total: 6.1 s You can get a sense for the timings involved for different sizes: In : M = make_matrix(5) Unfortunately exact rational numbers do not have O(1) arithmetic cost so in fact the complexity is significantly worse than O(N**4) as you scale up to larger matrices. Finding the characteristic polynomial this way is roughly O(N**4) for an N x N dense matrix if the underlying coefficient field has O(1) arithmetic cost. This is much more efficient than using determinants to find the characteristic polynomial but still slow for large matrices. This uses the Berkowicz algorithm to compute the characteristic polynomial which is the slowest part of the operation (the charpoly method). """Random matrix of rational numbers with all integer eigenvalues""" This is usually only worth doing if your original matrix has exact rational numbers (not floats) but it should obtain precisely the real eigenvalues: from sympy import * In any case here is some code that can show how to get the exact real eigenvalues of a matrix more efficiently using SymPy. If your initial matrix is a matrix of floats though then it is already approximate in which case there is a good chance that there will be no benefit in using SymPy. Exact or symbolic calculations are a lot slower than fixed precision floating point though so you should expect things to slow down a lot compared to using NumPy or SciPy. Determining that the eigenvalues are precisely real will require exact arithmetic in general. The advantage of using SymPy rather than NumPy or SciPy in this context is just if you want to perform the calculation exactly or symbolically. I can throw more hardware at it on a cluster, but have not been able to try this yet. However this does not output an answer in 12 hours with any amount of hardware thrown at it. T = np.loadtxt('rep10_T_ij.dat', delimiter=' ')ĭisplay(roots(poly(char_poly, domain=CC))) My understanding is that this will force answers as real numbers. Is it possible somehow to find complex eigenvalues using SymPy? Using sympy as described here makes sense: I turned to the sympy library, which also returned complex numbers as the solution. The scipy and numpy libraries return complex numbers - which is apparently due to not being able to solve the characteristic polynomial as real numbers or the algorithms being optimised to do this. Columns do not have to sum to anything in particular. Each row of the matrix, T, sums to 1.0 (100% probability). Elements of the matrix, T, are probabilities from 0 to 1. Am trying to determine the (real) left-eigenvectors and eigenvalues of a 100 by 100 matrix. |
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