After leaving school, he became a bookseller for some years before becoming a biographer and history researcher. Apart from crosswords, my interests are cricket and classical music, and for a very niche market, I wrote two editions of the Malta Bus Handbook in 20 for British Bus Publishing.ĬOLUMBA is Colin Gumbrell. Jean and I have two children, David and Helen, and three grand-daughters, Elise, Imogen and Cressida. Series – solvers may recall that the 2500 th SpectatorĬrossword coincided with our Golden Wedding on Easter Saturday this year. I have contributed just over 670 puzzles to the Spectator Since 1974 I have compiled definitional puzzles for every issue of The Puzzler magazine, totalling over 2,700 crosswords so far. For many of these periodicals I compile under different pseudonyms Didymus, Maskarade, Gozo, Busman and Anorak. John Graham (Araucaria) had made his own for many years), Financial Times, The Cricketer, Daily Telegraph and New Statesman and my first crossword in the Times was published in early June this year. Our crossword commitments expanded rapidly and so we now work for various puzzle publishers and I now compile for Prospect, Guardian (I was invited to take over compiling the Bank Holiday Jumbo puzzles which the Rev. I took early retirement in 2002, when my wife, Jean, and I established our crossword compiling and proof-reading company. I was appointed crossword editor in March 1999.Īfter completing my degree, and then my PGSE at the University of Keele, I settled in Nantwich in south Cheshire in 1969 where I taught modern languages at the grammar school (later Malbank School) for thirty-three years. Since when I have compiled just over 650 puzzles, one every third week with very few interruptions. My first puzzle appeared in the Spectator forty years ago in July 1981, when Jac invited me to join him and Mass as the new team as from his tenth anniversary compiling for the Spectator. I was born in Birmingham and started my crossword career as a teenager by submitting simple definitional puzzles to the Birmingham Mail’s “Reader’s Crossword” series. For a spell he and his wife, Pat, moved to Spain, but they returned to north Cheshire for their last few years. His chess problems appeared various newspapers and he also contributed crosswords to The Independent and The Listener. He became poet-in-residence in the University of Manchester’s extra-mural department, receiving three national poetry awards. He then settled in the Manchester area and taught these subjects at secondary schools and a tutorial college, before “retiring” to concentrate on poetry, chess and crosswords. MASS, Harold Massingham, was born in 1932 and after leaving Mexborough Grammar School, he read English language and literature at the University of Manchester. Just over ten years later Jac decided to retire having compiled just under 650 puzzles for the series. This happened twice during Jac’s tenure.Īfter ten years Jac decided to reduce his commitment and so Harold Massingham and I were invited to join him in presenting our puzzles in a three-weekly cycle which began in July 1981. Consequently a “Jac-pot” was offered to solvers, so that, should no correct solution be received, that week’s monetary prize would be added to the prize for the next puzzle. Jac’s style was distinctive, quirky and certainly not beholden to the traditional “fair play” cluing style of Ximenes and Alec Robins, say. Many of his puzzles were compiled on 15×15 grids, but during the latter part of his tenure, he moved to the 14×14 patterns which still distinguish our puzzles to this day. His first crossword, entitled “To Hell with it” was on the theme of the wines of Burgundy. For ten years Jac presented a weekly puzzle, the vast majority of which included a set of unclued thematic solutions which were referred to cryptically in the puzzle’s title. In an accompanying editorial on July 3 rd 1971, it was claimed that the series aimed to be “the most sophisticated published anywhere”. JAC’s first puzzle for the Spectator appeared in the magazine exactly fifty years ago today. The name John Adelmare Caesar hid behind the pseudonym Jac who had recently retired from the post of Town Clerk for Rochdale, it is believed. These puzzles were compiled by Jac who had already established himself during the 1960s as a challenging and inventive setter for the Listener series. During the early spring of 1971, a package of eighteen unsolicited crosswords arrived in the post at the Spectator’s offices in Goodge Street.
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Systems of linear equations involving more than two variables work similarly, having either one solution, no solutions or infinite solutions (the latter in the case that all component equations are equivalent). The system is said to be inconsistent otherwise, having no solutions. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space. Systems of linear equations are a common and applicable subset of systems of equations. To solve a system is to find all such common solutions or points of intersection. The solutions to systems of equations are the variable mappings such that all component equations are satisfied-in other words, the locations at which all of these equations intersect. What are systems of equations? A system of equations is a set of one or more equations involving a number of variables. The variable can be used multiple times, as shown in this example, however you cant. Partial Fraction Decomposition Calculator Caveats: As mentioned, this only works with equations with one variable.Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator solve 4 = x^2 + y^2, 4 = (x - 2)^2 + (y - 2)^2 Distance between two points calculator, formula, work with steps, step by step calculation, real world and practice problems to learn how to find length.Here are some examples illustrating how to ask about solving systems of equations. The user must enter the x-y coordinates of both the points for the calculator to find the equation of. To avoid ambiguous queries, make sure to use parentheses where necessary. The two points are represented as ( x1, y1) and (x2, y2). Additionally, it can solve systems involving inequalities and more general constraints.Įnter your queries using plain English. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. You can change the options so that one of five different types of equation is displayed. The eQuation Generator above can make up unlimited equations for you to practise solving. This equation can be 'solved' to find which value is represented by the letter x. Wolfram|Alpha is capable of solving a wide variety of systems of equations. Here is an example of a simple linear equation: 2 x + 7 15. For example, if you wanted to generate a line of best fit for the association between height, weight and shoe size, allowing you to predict shoe size on the basis of a person's height and weight, then height and weight would be your independent variables ( X 1 and X 1) and shoe size your dependent variable ( Y).Equation 4: Compute A powerful tool for finding solutions to systems of equations and constraints To begin, you need to add data into the three text boxes immediately below (either one value per line or as a comma delimited list), with your independent variables in the two X Values boxes and your dependent variable in the Y Values box. This calculator will determine the values of b 1, b 2 and a for a set of data comprising three variables, and estimate the value of Y for any specified values of X 1 and X 2. The line of best fit is described by the equation ŷ = b 1X 1 + b 2X 2 + a, where b 1 and b 2 are coefficients that define the slope of the line and a is the intercept (i.e., the value of Y when X = 0). This simple multiple linear regression calculator uses the least squares method to find the line of best fit for data comprising two independent X values and one dependent Y value, allowing you to estimate the value of a dependent variable ( Y) from two given independent (or explanatory) variables ( X 1 and X 2). VoIP caller ID with Linksys/Sipura VoIP telephone adaptorsĬan dial and answer calls from your desktop via Bluetooth (speakerphone)Ĭaller ID sharing and remote dialing with other hosts on your LAN. See how you can create better restaurant and hotel schedules, reduce labor costs and improve staff communications with Ameegos staff scheduling software. Works with landline phones connected through a compatible USB modem effective teaching tools for the English as a Second Language Classroom. You can keep your Windows phone in an easy to reach area of the home so anyone can access it. Phone Amego is the missing Mac telephony link that makes it easy to integrate your phones with your Macs and your data. How to Uninstall Phone Amego Pro 1.4.34 Application/Software on Your Mac Unlike. Then, use your Windows phone as a remote to automate them or control them manually. Works with popular Bluetooth phones including iPhone Download the apps that correspond to your home devices, like your thermostat, your alarm system, or your lights. On screen caller ID with optional voice announcementĭial calls directly from your Address Book or selected text Note: We’ve changed the name of the Your Phone app to Microsoft Phone Link. Enjoy on-screen Caller ID, call screening, logging, and many other advanced features without touching your phone. Make and receive phone calls from your PC. Dial calls directly from your Address Book and route them through whichever phone you choose. Phone Amego provides on-screen CallerID, click-to-dial. Phone Amego lets you use your Mac as a powerful "front end" for your Bluetooth cell phone, your Google Voice account, a VoIP telephone adaptor, and even landlines. Developed a software IP router licensed to Apple and network diagnostic toolkit for the Mac. Phone Amego - use your Mac as a powerful front end for your Bluetooth cell phone Food and drink glass packaging is the only type of glass which should be placed in the glass recycling containers marked ‘glas’. Instead there are neighborhood recycling containers. Households are not issued their own glass recycling bin. Most Dutch neighborhoods have recycling bins (‘wijkcontainers’). The Netherlands is committed to reducing trash through recycling efforts of reusable waste such as glass, plastic, paper and textiles. – Small hazardous waste or chemical waste such as energy saving light bulbs, detergents, paint, varnish, cooking oil and cosmetics should be taken to a collection point (afvalspunten). – Batteries can be deposited in collection boxes found in supermarkets, petrol stations, hardware stores, etc. Medications should never be put down a sink or in the toilet. – Old medication should be returned to a pharmacy for proper disposal. Construction debris must be transported to a local dump site by private means. CONSTRUCTION WASTEĭebris from renovations and home improvement work does not qualify as residential waste and a bulk pickup should not be requested. The owner remains liable for any injuries sustained by bulk waste on the street until it has been collected. When placing bulk garden waste on the curb for bulk pickup, branches should be tied together and care should be exercised to ensure no sharp edges jut outward that could cause harm to others. If the debris is too large for the resident to bring to an ‘afvalspunten’, they should request a bulk trash pickup. Otherwise, garden waste should be taken to a local collection facility. Garden waste such as tree branches and hedge clippings should be placed in a green bin (if one has been provided by the municipality). In some areas, a fee is charged for grofvuil collection, but in most municipalities, the cost of service is covered by the annual ‘afvalbelasting’ (garbage tax). A pickup can be scheduled by phone or online. Many Dutch municipalities offer a pickup service for over-sized waste when the resident is unable to bring it to the afvalspunt themselves. The location of the nearest dump site will be shown on the municipal website. Over-sized waste items (‘grofvuil’), such as an old couch, mattress or washing machine should be brought to the city dump or collection point (‘afvalspunten’). Some municipalities allow the bins to be placed on the curbside the night before.Ĭheck which days trash is collected (‘ophaaldagen’) on the national website ‘ MijnAfvalWijzer‘ by entering your postal code and house number. The bin is then placed at the curbside on the day of scheduled pickup. Typically a home is issued a trash bin for depositing the waste. GCSettings.General household waste (‘restafval’) is any non-recyclable, non-hazardous, residual household waste.Workstation and server garbage collectionĭescribes the differences between workstation garbage collection for client apps and server garbage collection for server apps.ĭescribes background garbage collection, which is the collection of generation 0 and 1 objects while generation 2 collection is in progress.ĭescribes the large object heap (LOH) and how large objects are garbage-collected.ĭescribes the performance checks you can use to diagnose garbage collection and performance issues.ĭescribes how to make a garbage collection occur.ĭescribes the modes that determine the intrusiveness of garbage collection.ĭescribes how to optimize garbage collection on servers shared by several small Web sites.ĭescribes how to determine when a full garbage collection is approaching and when it has completed.ĭescribes how to monitor CPU and memory usage by an application domain.ĭescribes features that permit the garbage collector to collect an object while still allowing the application to access that object. In this section Titleĭescribes how garbage collection works, how objects are allocated on the managed heap, and other core concepts. When the garbage collector performs a collection, it checks for objects in the managed heap that are no longer being used by the application and performs the necessary operations to reclaim their memory. The garbage collector's optimizing engine determines the best time to perform a collection, based upon the allocations being made. Eventually the garbage collector must perform a collection in order to free some memory. As long as address space is available in the managed heap, the runtime continues to allocate space for new objects. Each time you create a new object, the common language runtime allocates memory for the object from the managed heap. NET's garbage collector manages the allocation and release of memory for your application. These apps aren't necessarily going to improve your life. So here's what Lembke and other young people want you to know about how the apps work:ġ. The company has launched "more than 30 tools to support families," she says, including some "that allow teens and parents to navigate social media safely together."Ī representative from TikTok noted in an email that the company released a tool in March for users to monitor their screen time. Meta's global head of safety, Antigone Davis, said in a statement emailed to NPR that the company refers to research on social media and feedback from teens and families. Shots - Health News The truth about teens, social media and the mental health crisis "As I began to scroll more, I felt my mental, and physical health really suffer." "I realized that the magic I thought Instagram - and all these social media apps - had was really just an illusion," she says. And her relationship with her phone shifted. It felt like the best day ever."īut within a few months, her time on her phone had increased from one hour to five or six hours each day. "One day, I think I commented, Olive Garden, 'I love you.' And they responded, 'We love you, too.'" Lembke says. Then she got her own phone, she says, "And I remember for the first few months I was in love with Instagram." "So my initial response to this phenomenon was 'OK, there must be something so magical and amazing within these social media apps." "I remember as each one of my friends got a phone, each one of them was getting pulled away from conversations with me, from even playing on the playground," Lembke explains. Here's what teens and young adults say over and over again: Know what you are up against with social media.īack when Lembke was in sixth grade, she really, really, really wanted a phone. I can amplify positive content, and I'm connecting with a lot of people worldwide." "I've been given a lot of opportunities because of social media. "I do believe social media has great aspects as well," says Rijul Arora, age 26, a digital wellness coach and consultant who leads a project called LookUp India, aimed at helping teens unhook from social media. "And that relationship is completely asymmetric, and it is just harming young people."īy listening to young people, Lembke believes, parents can work with teens to help them minimize the harms of these platforms while maximizing their benefits. "We, Gen Z, have felt so tangibly the impact of being left alone to big tech's profit business model," she explains. They are the experts of these apps - not their parents.Īnd they've been affected by social media more than any other generation, says Emma Lembke, who's 20 and founded the Log Off Movement to help teens have a healthy relationship with social media. While clinicians and psychologists try to come up with remedies to this crisis, some of them are realizing something paradoxical: Teens and young adults may be the best source of advice and solutions. Shots - Health News Major psychologists' group warns of social media's potential harm to kids "I have repeatedly deleted Instagram in an effort to improve my emotional state but then, I reinstall. Nearly two-thirds of respondents gave some version of this advice to future teens: Don't use social media. Many asked their parents to help them stop using it. Some respondents explicitly said social media made them feel depressed. The study, published in September, reveals a striking awareness about the potential harms social media can have on teenagers' mental health, but also their persistent attempts to counter these harms. "Don't let social media control your life or your self-esteem," another texted. the internet is far off from reality and the more time you spend on it, the more you forget what real life is actually like.," one person wrote. Teens and young adults from across the country answered these questions in a text survey in 2020. "Have you ever felt like you need to change your social media use.?" "What advice would you give to young people who are new to social media?" They also have good advice for how to have a healthy relationship with social media. Many teens and young adults struggle with overuse of screens. We're now wrapping up our live coverage of today's events. Video caption: Putin claims West wants to destroy Russia at Victory Day parade Putin claims West wants to destroy Russia at Victory Day parade
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