Carrot weather iwatch12/13/2023 ![]() ![]() Other than that, the app provides weeklong forecasts so you can effectively plan out your outdoor activities. ![]() However, the “Overkill” personality type is not ideal for younger users due to the presence of profanities. Its comical dialogue and various personality types are enough to make anyone smile. Overall, CARROT Weather: Alerts & Radar proves that monitoring the weather does not have to bore you to the core. The said version also includes customizable widgets you can add to your device’s home screen so you have an easier time viewing the latest forecasts without using the app. Meanwhile, the app’s premium version lets you explore many of its exclusive features like the time machine-which lets you view the weather from any part of the world from the last 70 years. That aside, the app provides seven-day weather and temperature forecasts-ideal for planning out outdoor excursions. Choose the top and bottom data point displayed, whether it shows a gauge on supported complication slots (and also what values the gauge measures), and also the time period the data point covers. As such, it would be better if it mimics the voice of a real human for a more amusing listening experience. You can add completely custom complications via the iPhone app. Regardless of the personality type you chose, you’ll see yourself smiling and chuckling at the app’s funny dialogues. “Overkill” contains swear words-which makes it inappropriate for younger users. It features different personality types such as “Professional” and “Overkill.” To make your search easier, CARROT Weather: Alerts & Radar is a wonderful choice since it talks-injecting humor and laughter into your life. As there are plenty of options in the market, it can be hard to find the perfect app for you. This is one of the most popular and accurate weather apps available on the Apple Watch today.Weather forecast apps provide real-time information about the weather and temperature in your local area. It now uses native UI elements to make it fit in great alongside other iOS apps – but the app still retains the same sense of fun and personality that CARROT is so well known for.Īpple Watch complications are only available with the Premium option, but you can still download the free version and test out the app and the free subscription trial. Premium Family ($14.99/month or $59.99/year) includes all Premium Ultra features, with the added benefit of being shareable with up to five family members via Apple’s Family Sharing service.ĬARROT’s fresh new design is cleaner, easier to navigate.Premium Ultra ($9.99/month or $39.99/year) includes all the features of Premium, plus rain, lightning, and storm cell notifications (where available), a weather maps widget, and quick data source switching, allowing you to switch between different weather data sources such as Dark Sky or ClimaCell.The Premium ($4.99/month or $19.99/year) plan provides additional features like weather data sources, notifications, customization, widgets, and Apple Watch complications. 8 a sticker-based instant messaging app for Apple Watch CARROT Weather just provides helpful commentary on upcoming weather, as seen in the screenshot above.Best companion apps for Dexcom CGMS users in 2020Ĭarrot Weather 5.0 offers three basic subscription levels.5 Best Blood Pressure Apps For Monitoring and Tracking.11 Best Apple Watch apps for Students in 2021.Best free exercise apps to strengthen and help relieve pain.I wonder what happened CARROT has been so dependable for years and years. (The app was previously $4.99 upfront plus an optional subscription, so not much is changing here other than the fact that users can now try CARROT for free before paying anything.) Related: My weather has just been WRONG the last week or so and finally looked into it, comparing Apple Weather app to what Carrot single source in free was. Version 5.0 moves CARROT Weather to a free with subscription business model. The App is free to download now, and you pay for in-app purchases. introduces a fresh look with new features for your Apple Watch. ![]() Carrot Weather announced a new upgrade today. ![]()
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Type 2a usher syndrome12/13/2023 ![]() Nightblindness is apparent in the 1st or 2nd decade accompanied by an extinguished electroretinogram (ERG) and profound loss of visual field. Patients with USH 1 are profoundly deaf from birth, have unintelligible speech and absent vestibular function. Interfamilial differences in USH patients are greater than intrafamilial differences and investigators have proposed at least two distinct phenotype types Usher Syndrome type 1 (USH 1) and Usher Syndrome type 2 (USH 2) (Fishman 1983). Affected individuals have congenital neurosensory hearing impairment of variable severity and a progressive pigmentary retinal degeneration commonly referred to as retinitis pigmentosa. The Usher Syndromes (USH), characterized by autosomal recessive inheritance, are genotypically distinct diseases which share specific phenotypic characteristics. For gene studies, blood samples will be collected from patients and all available family members. A caloric stimulation test will also be done, in which a small amount of water is irrigated into the ear canal. Balance and coordination tests require tasks such as walking in a straight line and standing in the dark with eyes closed. Hearing tests include physical examination of the ears and wearing earphones while listening to tones. Special hearing and balance tests will also done. ![]() An electroretinogram will be done to measure the function of cells in the retina, and a procedure called fluorescein angiography will be done to look at and photograph the blood vessels in the retina. They will undergo a thorough eye examination, including special tests of color vision, field of vision, and ability to see in the dark. Study participants will have a medical and family history taken and a family tree constructed. This study will use these tests to classify these syndromes and eventually identify the genes responsible for them. The development of newer and more sophisticated diagnostic tests may detect subtle differences in signs and symptoms that allow more accurate distinction between the two types of Usher syndrome. All patients develop eye problems that cause difficulty seeing in the dark. Patients with type 2 disease generally are hearing impaired but have no balance problems. Patients with type 1 Usher syndrome usually are deaf from birth and have speech and balance problems. The purpose of this investigation is to gain additional knowledge about what causes type 1 and type 2 Usher syndrome-inherited diseases that can cause balance problems and impaired hearing and vision-and to develop better diagnostic tests. Why Should I Register and Submit Results?.Earlier study findings were not supported by our data. There were no fertility problems in our group of Usher 2A patients, nor have any been mentioned in Usher patients in general. The latter finding was of little relevance, however, in view of the normal motility of the spermatozoa observed in these patients. ![]() Except for a significantly increased pH value, no abnormalities were found in the functional semen analysis, whereas electron microscopy revealed microtubular tail abnormalities. The fertility status of the study group of Usher 2A patients was evaluated, including semen analysis, supplemented by electron microscopic examination of the spermatozoa. The semen of 6 Usher 2A patients was analysed. In the framework of clinical genetic research into Usher syndrome, a pilot study was set up to test these findings. ![]() Semen analysis in patients with Usher syndrome suggested that defective connecting cilia axonemes may be involved in the irreversible, progressive loss of photoreceptors in Usher’s syndrome. ![]() Ireal pro chameleon12/13/2023 ![]() ![]() Ideally it would be great if we all knew 500 standards with no chart and could transpose instantly, but I don't think that's the best use of practice time for most people. It's a great time to be a jazz musician right now, so much great technology is available. Yes that's a good suggestion to have some PDFs in addition to IRealPro. Why not just bite the bullet and be a professional? Having accurate charts is just as important - maybe more so - than that primo archtop or boutique amp that cost a fortune. In case any of you think I'm just being a cranky motherfucker Mike Moreno echoed similar sentiments at a clinic at the University of New Orleans. I get that getting legal PDF fakebooks and an iPad is an initial expensive investment, but the irony here is many if not most of the good young players, like this bassist, are already spending multiple thousands of dollars on college, and you can get an accurate library of hundreds of standards and a reconditioned iPad for a few hundred dollars. After one tune I said "if you ever play this tune again there are some hits that are part of the form that you may want to know." His response was "I've never heard that tune before," which pretty much proves my point if you don't know a tune and you're trying to play it from a shitty chart you're going to fuck it up. Several times I said to him "I have the chart right here" and he ignored me. When that happened the bassist pulled them up on his phone, but I was right next to him with an iPad with PDF charts culled from the Chuck Sher New Real books and other vetted sources. There were a lot of the leader's original tunes and ones from other composers he had charts on, but he also called some standards. I was working with a bandleader for the first time and he had a young bassist - a very good player - who I'd only ever played with once before. Here's what happened on my gig last night: The tunes are crowd sourced and you get what you pay for. The collections of tunes in the the iReal are the same but worse there are so many bad changes in those that it's ridiculous, plus you have none of the other useful info like melodies, bass lines, rhythm section hits, and so on. ![]() That book was compiled by students at Berklee and that's why there were so many errors they didn't have the skills yet to transcribe the music accurately. I grew up when the Real Book filled this function, but I was warned early on by older musicians not to rely on it too much because of how many errors there were in it. Obviously it's a super handy app to have and there are times when it's a useful tool, but if you're using it as your default way of getting through gigs you're being a slacker. ![]() These days it seems like everyone uses the iReal Pro for basic charts on gigs. ![]() Nimble 9 sizing12/13/2023 ![]() (FOCUS Optimised Linkage Design) and reduced the amount of linkage parts resulting in a significant weight loss. With longer chainstays, the JAM² SL 9.9 rides more stable and makes steep climbs easier, whereas the short setting leads to a more agile geometry.įor the JAM² SL 9.9, we adapted our F.O.L.D. Switching the FLIP CHIPs and adjusting your chainstay length from 440 to 447 mm changes the whole set-up of your bike. The steeper head angle of 65,5° results in a more agile handling of the bike, while the slack position of 64,5° gives it a more downhill-oriented setting. The JAM² SL 9.9 features two points to adjust your geometry: the head angle and the chainstay length. It allows you to set Max Power, Support Relation and Ramp-up according to your own personal needs.Īdjustable geometry and adapted kinematics On top, you can individualize the motor support based on your riding preferences via the FAZUA App. The drive system already features three different riding modes. ![]() If you really need even more, adding a range extender offers you further 210 Wh. Thanks to the high efficiency of the FAZUA system and a battery with 430 Wh, your ride won't stop before reaching your very own Rider's High. If you need an extra push, the boost function helps you to tackle even the steepest sections. The compact and light, yet powerful system has 60 Nm torque and a maximum power output of 450 W. The FAZUA Ride 60 drive unit provides the feeling of a natural ride but still has got your back on all climbs. ![]() The MAX carbon layup makes this full-carbon frame super light without compromising on stiffness. As the motor and battery of our JAM² SL 9.9 are fully integrated in the down tube, this e-MTB not just rides but also looks like a pure bike. Still, all parts to adjust your shock settings are easy to reach. Thanks to the shock semi-integration, the JAM² SL 9.9 has a low stand-over height that gives you generous space for moving. With maximum suspension performance, piggy-back shock and super reliable brakes, the JAM² SL 9.9 is all about shredding trails. Nimble and light pure bike characteristics. ![]() Learn active listening12/13/2023 ![]() In this case, judgment is any thought-positive or negative-you have about what someone else says. ![]() Rather, it refers to your internal monologue. Non-judgmental doesn’t refer to positive or negative judgement. Listen without judgmentĪs you learn about active listening, you may encounter people talking about non-judgmental listening. Inevitably, you will have a thought or comment about something they have to say, but try to put those thoughts to the side while you’re listening to understand. To practice active listening, dedicate all of your attention and energy towards what the other person is saying. This type of interruption moves some conversations along, but it’s not something you want to do when you’re actively listening to understand. Sometimes, when a conversation is flowing, you want to jump in and add your own ideas, or elaborate on a thought someone else just shared. Below, we’ll also dive into a few examples to help you continue building this muscle. Try these five active listening techniques to practice this skill. Truly understand what the other person is sayingīaca: Strategi resolusi konflik terbaik yang tidak Anda gunakan Tips to improve your active listening skillsĪctive listening is a soft skill that takes time to develop. This soft skill is a key part of conflict resolution, problem solving, and constructive criticism. Practice non-judgmental listening by setting aside their own biases or points of view.ĭemonstrate patience by focusing on the other person, instead of your own thoughts.Įxhibit positive, nonverbal communication like eye contact and leaning in.īaca: 12 kiat komunikasi efektif di tempat kerja The benefits of active listeningĪctive listening is one of the best ways to build your interpersonal relationships and establish closer connections, especially with team members. ![]() Paraphrase and summarize what the other person is saying to make sure you fully understand. When you’re paying full attention to what the other person is saying-without planning what you want to say or interrupting their conversation-you develop more effective communication skills. Depending on the conversation, you can also ask a specific, open-ended question to dig deeper into the topic.Īctive listening helps you have more meaningful and engaged conversations. To confirm you understand, you then paraphrase what you heard back to the other person. When you practice active listening, you’re exclusively focused on what the other person is saying instead of planning what to say in response as you would during a debate or conversation. Read: Empathy maps: How to understand your customer Tingkatkan komunikasi tim dengan Asana What is active listening?Īctive listening is the practice of listening to understand what someone is saying. This type of listening helps you build strong relationships, gain a deeper understanding of your friends and colleagues, and even deepens your own sense of empathy. This type of listening happens when you’re debating with someone or when you’re listening to a sales person.Īctive listening-or listening to understand-falls under the category of empathic listening. This type of listening happens when you listen to a podcast, the news, or an educational lecture, like a class.Ĭritical listening, which is when you listen to form an opinion of what someone else said. Think of listening to music, a motivational speaker, or attending a religious ceremony.Ĭomprehensive listening, which is when you listen to learn something new. In this type of listening, you’re focused on the other person, instead of yourself.Īppreciative listening, which is when you listen to enjoy yourself. Think of listening when someone shares a personal story. There are four different types of listening:Įmpathic listening, which is when you listen to understand. Ready to become a better listener? Here’s how. ![]() In this article, we’ll walk you through the different types of listening and show you how active listening can help you listen to understand-not just respond. What if we told you listening wasn’t as simple as, well, just listening? In fact, different types of listening go beyond learning-you can also listen to improve your relationships, deepen your connections, and build trust. ![]() Provider portal aim specialty health12/13/2023 ![]() ![]() Our clinical relevance verification model aims to provide patients with the right care the first time and effectively avoid unnecessary interruptions. We use our clinical guidelines, physician-led outreach and innovations to make it easier for you. Helping clinicians follow the latest best practices in evidence-based care is complex. Quadruple Aim expands on dimensions identified in the Institute’s renowned Triple AIM provider portal for better health (improving population health, improving patient experience and reducing costs) and adds the goal of improving the working lives of healthcare providers. We help healthcare organizations improve the quality of care and reduce costs by serving as the industry’s leading expert service management partner.Īs an attractive industrial setting, Quadruple Goal promises not only to improve your health, but also to increase your competitive edge. The customer service team can help you if you continue to have difficulties logging into your account they are happy to assist in any way they can.AIM Provider Portal strives to promote safe, appropriate and affordable healthcare at AIM Specialty Health (AIM).The Fragomen portal can be accessed via the private/incognito mode of your browser if none of the above methods work.The password should not be visible to anyone unless someone is available to examine it. You can view your password by clicking on the appropriate link if it is required. Check your details if you typed them incorrectly. ![]() entered your details incorrectly, please check them. You may have forgotten your password if you are not using VPN and your connection is good.In order to enter a password, please ensure your CAPS-lock is enabled and/or disabled. Make sure your login information is accurate. Logging in with the wrong information is one of the most common mistakes.Make sure you are using one of the recommended browsers such as Google Chrome, Firefox, Safari, or Internet Explorer 11. You may also be using a browser that isn’t supported by the portal.You can now proceed with the rest of your browser without having to worry about overcrowded data in your browser. In case you have difficulty logging in, try clearing your cache and cookies.If the issue is not resolved, make sure you clear your browser’s cache or reboot your computer. You can gain access to the portal by restarting your browser and entering it again.This guide will walk you through troubleshooting the issue. There are times when it may be difficult to log in to the Aim provider portal, but it is rarely challenging. Troubleshooting Guidelines For AIM Provider Portal The AIM health plan serves more than 68 million members in 50 states, the District of Columbia, and US territories, ensuring they receive optimal health care through evidence-based clinical guidelines and real-time decision support. Strengthening the boards that serve today’s most important human services organizations helps improve mental health and reduce the costs of complex tests and treatments.ĪIM Provider Portal delivers specialty healthcare in an appropriate, safe, and affordable manner. AIM Specialty Health’s primary goal is to provide appropriate, safe, and affordable therapeutic services. ![]() Bring back memories lyrics maroon 512/13/2023 ![]() ![]() Lost my mother from sudden stroke, 14th April during covid lockdown, she died in my arms as I looked into her eyes, yet she survived trapped three more weeks in hospital. Alan from New Zealand Memories bring back you.May we all find peace and happiness in times of sorrow. Thank you for writing this beautiful song once again. A little sign from above to keep that bond strong, know matter what is happening in these hard times. I also, mentioned if they watch the video to make sure they look at the tattoo on his collarbone " Family". When I awoke today, I heard this song and shared with my daughters hoping they will enjoy it as much as I did. From that year forward I made a vow to him that I would allow his daughters to celebrate the memory of him and the life he gave us. He left this life, at the age of 32, leaving behind 3 daughters. Today as I have for the past 20 years I celebrate the life that I had and was taken way to soon, my husbands birthday. As cheers to the ones we have and lost we start to celebrate life which embodies our soul. I can play this song while the tears of the memories come back but it brings me comfort to know I am not alone. Lisa Murphy from Saratoga Springs, New YorkI want to thank you for writing such a heartfelt song, as we all can relate to losing someone special.Can't help think back all our hopes and planning when playing the song gosh! Lost my son who is supposed to come on my our birth month, so much plans and anticipations, lost him same month suddenly. Monday from NigeriaCan't explain the calm I do feel when listening to "Memories".Elise from AustraliaI love this song and would love to use sippets in a eulogy that i am preparing for a best friend rocco who lost his 3 week battle to covid 19 in south africa on Fri - may i?.I'm Unique from From NigeriaI felt bad wen i lost my uncle but memories always remind me of him,i love dat song.Freedom from Nigeriai heard this song and remembered my friend who died of disease and i was shattered.i feel really bad right now.Elang Fortune from Lagos NigeriaThe song reminds me of the moment i shared with my loved ones and my lost ones.Unknown from UnknownThis song truly experience the love of people have lost loved ones.Also I’m sorry for ones who lose important family members. Maroon 5, I bless you with my heart that you are correct. You can lose loved ones and you may not like the feeling of it but it has to happen someday. Emma_wolf123 from UsaThis song is so true.Just the lyrics “memories bring back you.” puts me in sadness. NigeriaThe best song I have ever listen to ![]() Anytime i lsten to this song tears roll down from my eyes Jordan Simon from Jos,nigeriaThis song brings back the memories of my parents who died.It brings back many memories of my life and the world Good job Adam and rest in piece Jordi, we will always remember you :_ ( Love this song and I will always remember and salute the good people who we lost in this situation. AnonymousWith more researching, "in diapers with this guy" means Jordi and Adam were best friends since they were young.But that would be an honest acknowledgment not “We wrote this song …” It’s used at weddings, soirées, graduations, etc. Jeff Schwartz from Waterbury CtEvery musician knows it is “Canon In D” set to words.Peter from AustraliaPlayed this at dads funreal last week along with a montage of photos.Lyrics licensed and provided by LyricFind Publisher: BMG Rights Management, Universal Music Publishing Group, Warner Chappell Music, Inc. Writer/s: Adam Levine, Jacob Hindlin, Jonathan Bellion, Jordan Johnson, Michael Pollack, Stefan Johnson, Vincent Ford ![]() Telling lies to sound true like it's all youĮverybody hurts sometimes, everybody hurts someday-ay-ay I done lost two relationships you could call true It's alright, you could tell me your truth, I won't judge Lost time, press and rewind, it won't budge ![]() Lost fights, nigga, lost life of loved ones Look, I done lost love, lost 50s, lost dubs Hundred bottles in the club, that's a goddamn shameĮverybody hurts sometimes, everybody hurts someday-ay-ay (Four Hunnid)īut everything gon' be alright, go on raise a glass and say-ay Got some homies in heaven now that watch my backįor all this pain, we numb it with champagne Gotta stop that, the devil talkin', I block that I live my life tryin' to prove myself to non-believer I run from reapers, dodge bullets from Glock ninas I know this life, it look nice, but it get deeper Tequila drinking, double shot, yeah, I need you Toast to the ones that we lost on the way 'Cause the drinks bring back all the memories Cheers to the wish you were here but you're not ![]() Payroll intuit quickbooks online login12/13/2023 ![]() ![]() QuickBooks Online Payroll terms : Each employee is an additional $6 /month for Core, $8 /month for Premium, and $10 /month for Elite. You will not receive a pro-rated refund your access and subscription benefits will continue for the remainder of the billing period. Offer only available for a limited time and to new QuickBooks customers.Ĭancellation: To cancel your QuickBooks Products subscription at any time go to Account & Settings in QuickBooks and select “Cancel.” Your cancellation will become effective at the end of the monthly billing period. This offer can’t be combined with any other QuickBooks offers. Sales tax may be applied where applicable. If you add or remove services, your service fees will be adjusted accordingly. Offer terms: Your account will automatically be charged on a monthly basis until you cancel. To be eligible for this offer you must be a new QuickBooks customer and sign up for the monthly plan using the “Buy Now” option. Terms, conditions, pricing, special features, and service and support options subject to change without notice.ĭiscount offer : Discount applied to the monthly price for the QuickBooks Products is for the first 3 months of service, starting from the date of enrollment, followed by the then-current monthly list price. To cancel your subscription at any time go to Account & Settings in QBO and select "Cancel." Your cancellation will become effective at the end of the monthly billing period. This offer can't be combined with any other QuickBooks offers. To be eligible for this offer you must be a new QBO customer and sign up for the monthly plan using the "Free 30-Day Trial" option. ![]() At the end of the free trial, you’ll automatically be charged and you’ll be charged on a monthly basis thereafter at the then-current price for the service(s) you’ve selected until you cancel. QuickBooks Online Free 30-day Trial Offer Terms : First thirty (30) days of subscription to the QuickBooks Products, starting from the date of enrollment is free. QuickBooks Live Bookkeeping is not included in the QuickBooks Offer. The offer includes either a free trial for 30 days (“Free Trial for 30 Days”) or a discount for 3 months of service (“Discount”) (collectively, the “QuickBooks Offer”). ![]() QuickBooks products : Offer available for QuickBooks Online and/or QuickBooks Online Payroll Core, Premium, or Elite (collectively, the “QuickBooks Products”). Additional conditions and restrictions apply. Intuit cannot help resolve notices for customers in Collections with the IRS because IRS Collections will only work with businesses directly. If you receive a tax notice and send it to us within 15 days of the tax notice, we will cover the payroll tax penalty, up to $25,000. Tax penalty protection : Only QuickBooks Online Payroll Elite users are eligible to receive the tax penalty protection. Guarantee terms and conditions are subject to change at any time without notice. As long as the information you provide us is correct and on time, and you have sufficient funds in your account, we’ll file your tax forms and payments accurately and on time or we’ll pay the resulting payroll tax penalties. We assume responsibility for federal and state payroll filings and payments directly from your account(s) based on the data you supply. Accuracy Guaranteed : Available with QuickBooks Online Payroll Core, Premium, and Elite. ![]() Babylon 5 bloopers12/13/2023 ![]() ![]() ![]() Followed by Neroon laughing his ass off.After listening to a "Not So Different" Remark speech from Neroon (who had spent most of the episode beating him to a pulp before realizing this): "The next time you want a revelation, could you possibly find a method that isn't quite so uncomfortable?".(sotto voce) And that's when I shot him, Your Honor. I spy with my little eye something beginning with 'M'.ĭr. Marcus: I spy with my little eye something beginning with 'B'. Crosses over with Awesome, but when Delenn is kidnapped, Marcus walks into one of the roughest bars in Downbelow, sits down at a table full of thugs, and calmly explains that he figures at least one of them knows something about it, and that if they don't tell him what he wants to know, then in five minutes he'll be the only person at the table still conscious, and five minutes after that, he'll be the only person in the room still conscious.When Ivanova calls him out on the "delusions of grandeur", he replies: "Well, if you're going to have delusions, you might as well hold out for the really satisfying ones."."Several ships reported seeing something rather 'god-like' in that area, and since neither you nor I were there.".Marcus: Really? How do you propose stopping them? Perhaps a big red and white sign with the word "stop" on it? I'll put a bucket on my head and pretend to be the ancient Vorlon god Booji. ![]() Define sequences math12/13/2023 ![]() ![]() So, using the counting principle, we can see that there are 12 different outfits that can be created by choosing one shirt and one pant. Therefore, 12 different outfits can be created using these shirts and pants. Using the counting principle, we multiply the number of ways to choose a shirt (4) by the number of ways to choose a pant (3): How many different outfits can you create using one shirt and one pant? Suppose you have 4 shirts and 3 pairs of pants. ![]() Here’s an example of the counting principle: It can also be used in other areas of mathematics and science, such as computer science, physics, and economics. The multiplication principle is an essential concept in probability theory, as it is often used to count the number of possible outcomes in a sample space. For instance, if m ways to perform the first event, n ways to perform the second event, and p ways to perform the third event, then there are m x n x p ways to perform all three events together. The multiplication principle can be extended to more than two events. The number of elements (possibly infinite) is called the length of the sequence. Like a set, it contains members (also called elements, or terms ). This sequence has a difference of 3 between each number. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. We will also give many of the basic facts and properties we’ll need as we work with sequences. An Arithmetic Sequence is made by adding the same value each time. We will focus on the basic terminology, limits of sequences and convergence of sequences in this section. The multiplication principle gives the total number of ways to choose one shirt and pair of pants: 3 x 4 = 12. Sequences In this section we define just what we mean by sequence in a math class and give the basic notation we will use with them. It states that if m ways to perform one event and n ways to perform another after the first event, then there are m x n ways to perform both events together.įor example, consider a person who has 3 shirts and 4 pants. As a result, all input language facilities as well as the underlying manipulation routines may be interactively extended by an experienced user.The counting principle, or multiplication principle, is a fundamental rule in combinatorics used to count the number of possible outcomes in a sequence of events. Otherwise, evaluation of expressions occurs in the current environment created by the successive user commands, with certain operations such as integration, differentiation, and simplification performed automatically.Translators for the user language and for a resident higher-level procedural language facility are written in META/LISP, a new self-compiling translator-writing system. The user may also enter syntax definition statements in order to introduce new notations into the system.Expressions appearing in assignment statements may include "where"-clauses which allow user control over the "environment" used in evaluation. Assignment statements are the fundamental commands in the user language they may contain "for"-clauses which restrict the domain for which the assignment is valid and permit "piecewise" and recursive definition of new operators and functions. ![]() Data objects include sequences (both finite and infinite) and arrays of arbitrary rank. Using this LISP system as a base, portions of several systems have been combined and augmented to provide the following facilities to a user:(1) rational function manipulation and simplification symbolic differentiation (Anthony Hearn's REDUCE)(2) symbolic integration (Joel Moses' SIN)(3) polynomial factorization, solution of linear differential equations, direct and inverse symbolic Laplace transforms (Carl Engelman's MATHLAB, including Knut Korsvold's simplification system)(4) unlimited precision integer arithmetic(5) manipulation of arrays containing symbolic entries(6) two-dimensional output on IBM 2741 terminals or IBM 2250 displays (William Martin's Symbolic Mathematical Laboratory, and Jonathan Millen's CHARYBDIS program from MATHLAB)(7) self-extending language facility (META/LISP).The user language created for the system incorporates a subset of "customary" mathematical notation. There are feature panels on key topics such as fractions, geometry, logic, probability, units of measurement, and trigonometry, all fully supported by 2-colour diagrams and illustrations. To carry out this objective, an experimental LISP system has been implemented for IBM System/360 computers. The dictionary contains over1000 mathematical concepts in alphabetical order, with related words listed under each headword. ![]() This paper describes a system designed to provide an interactive symbolic computational facility for the mathematician user. ![]() AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |