Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, 15 July 2026




Cosplay Magazine Presents
Toronto Artist Watch: Saya Grey


There are artists who become famous because the market decides they are famous, and there are artists who become important because musicians quietly begin talking about them. Saya Gray belongs firmly to the second category. Ask the average listener to name her and you may receive a puzzled look. Ask producers, session musicians, critics, or anyone who spends their lives searching for the frontier where technique meets originality, and the reaction is often very different. They know exactly who she is, and more importantly, why she matters.

This distinction is worth making because contemporary music culture often mistakes visibility for significance. Streaming platforms, viral clips, and chart positions create the illusion that commercial prominence and artistic importance are synonymous. They are not. Throughout music history, the artists who eventually altered the vocabulary of popular music frequently spent years admired primarily by other musicians. Saya Gray increasingly occupies that rarefied space: an artist's artist whose reputation has expanded less through marketing than through word of mouth among people who recognize exceptional craftsmanship when they hear it.

Her biography helps explain the phenomenon, though it hardly guarantees it. Born in Toronto to a Japanese mother and a Scottish-Canadian father, Gray grew up immersed in an environment where music was not simply entertainment but a language spoken fluently at home.

 Her father, Charlie Gray, built a distinguished career as a jazz trumpeter, composer, and producer, while her mother established one of Toronto's largest independent music schools. Such circumstances provide opportunity, but opportunity alone does not produce originality. Music history is littered with gifted children of accomplished musicians who never escaped the gravitational pull of imitation. Saya Gray did something far more difficult: she absorbed an encyclopedic musical education without becoming imprisoned by it.

Before most listeners encountered her as a solo artist, she had already accumulated one of the most impressive résumés available to a young session bassist. Touring and recording with artists such as Daniel Caesar, Willow Smith, and Liam Payne required a level of technical precision and professional adaptability that is invisible to casual audiences but instantly recognizable within the industry. Session work is one of music's great meritocracies. There are no sympathy appointments, no participation trophies, and no room for mediocrity. If you cannot execute flawlessly, another bassist is waiting outside the rehearsal room. The fact that Gray secured these positions while still exceptionally young spoke volumes long before her own records began attracting critical attention.

Yet it is as a composer, producer, arranger, and sonic architect that she has become genuinely fascinating. In an era when popular music is increasingly compartmentalized into specialized labour—one person writing, another producing, another engineering, another programming drums, another mixing vocals—Gray increasingly resembles an earlier archetype: the complete musician. Her recordings often bear the unmistakable imprint of a singular creative consciousness, one that conceives harmony, orchestration, rhythm, timbre, texture, and production as inseparable components of a unified artistic statement rather than discrete technical disciplines delegated to specialists.

Attempting to categorize her music quickly reveals the inadequacy of genre itself. One encounters fragments of indie folk, alternative R&B, chamber pop, psychedelic rock, jazz harmony, ambient electronics, tape manipulation, and experimental collage, yet none of these labels survives intact. Her compositions behave less like conventional songs than evolving ecosystems, continually mutating through unexpected harmonic substitutions, metric ambiguities, abrupt textural juxtapositions, and startling shifts in instrumental colour. Fingerpicked acoustic guitar may dissolve into fractured digital artefacts; lush vocal harmonies may suddenly yield to intimate lo-fi minimalism; bass lines grounded in jazz vocabulary coexist comfortably beside deliberately distressed production that recalls cassette degradation more than studio perfection.

This aesthetic fragmentation is deceptive, however. Lesser experimentalists mistake randomness for innovation, producing works that feel assembled rather than composed. Gray's music rarely suffers this fate because beneath its apparent discontinuities lies an unusually sophisticated structural intelligence. The pieces possess an internal logic that reveals itself gradually across repeated listenings. What initially appears eccentric begins to feel inevitable. The collage resolves into architecture.

Perhaps this explains why critics have embraced her with such enthusiasm. Publications renowned for championing adventurous music have repeatedly praised not simply her technical proficiency but her refusal to capitulate to prevailing commercial formulas. Rather than constructing songs around algorithmically optimized hooks or predictable structural templates, Gray appears content to trust the listener's curiosity. She writes music that invites exploration rather than immediate consumption, privileging cumulative emotional resonance over instantaneous gratification. It is an increasingly uncommon artistic philosophy within a streaming economy built upon rapid engagement metrics and abbreviated attention spans.

Commercially, this places her in an intriguing position. She is not, at least not yet, a household name comparable to the contemporary titans of mainstream pop. Her streaming statistics remain modest beside the industry's dominant figures, and radio has hardly embraced her as a staple. Yet to evaluate her significance through those metrics alone would be analogous to judging John Coltrane by Top 40 placements or Brian Eno by arena attendance. Some artists alter the conversation long before they dominate the marketplace. Their influence radiates horizontally through fellow creators before it expands vertically into mass culture.

Indeed, Gray increasingly appears to represent a broader countercurrent within contemporary music: a generation of artists resisting the gravitational pull of algorithmic predictability in favour of genuine aesthetic exploration. Her recordings neither apologize for their complexity nor simplify themselves to accommodate passive listening. They demand attention, patience, and repeated engagement—the very qualities digital culture has increasingly conditioned audiences to abandon.

Whether she ultimately achieves widespread commercial prominence remains impossible to predict and, in many respects, beside the point. Artistic history repeatedly demonstrates that cultural significance and commercial success often travel on entirely separate trajectories before occasionally intersecting. What can already be said with considerable confidence is that Saya Gray has earned something perhaps more durable than fleeting popularity: the respect of musicians. Among professionals, that currency is notoriously difficult to acquire because it cannot be manufactured through publicity campaigns or inflated streaming figures. It is earned note by note, arrangement by arrangement, recording by recording. In that regard, Saya Gray has already become one of the most compelling and intellectually ambitious musical voices to emerge from Canada in recent years, not because the industry declared her important, but because those who understand music most deeply increasingly cannot ignore her.

Thursday, 27 February 2025

How do undocumented workers in the U.S. get into the system, such as Medicare and other public benefits?


 How do undocumented workers in the U.S. get into the system, such as Medicare and other public benefits? How is this claim possible?


 Undocumented workers contribute money to the system primarily through taxes—even though they are generally ineligible for most federal benefits. Here’s how:

  • Payroll Taxes (Social Security & Medicare) – Many undocumented workers use fake or borrowed Social Security numbers to get jobs. Their employers withhold FICA taxes (Social Security and Medicare) from their paychecks, just like for legal workers. However, since they don’t have valid SSNs, they will never be able to claim Social Security or Medicare benefits. The Social Security Administration (SSA) has a special Earnings Suspense File (ESF) where unmatchable contributions go—amounting to billions of dollars in unclaimed Social Security contributions.
  • ITIN Tax Payments – Some undocumented workers file income taxes using an Individual Taxpayer Identification Number (ITIN), a number issued by the IRS for those who can’t get a Social Security number. They still pay federal, state, and local taxes, including income tax, even though they receive limited or no benefits.
  • Sales and Excise Taxes – Every time they buy goods or services, undocumented workers pay sales taxes, just like everyone else. This contributes to state and local revenue.
  • Property Taxes (Directly or Indirectly) – If they own a home, they pay property taxes. Even if they rent, their landlords use part of their rent to pay property taxes, which fund schools, roads, and local services.
  • Unemployment and Workers’ Compensation Contributions – If their employer follows the law, they also pay into unemployment insurance and workers’ compensation programs, even though most states bar undocumented workers from collecting unemployment benefits.

In short, undocumented workers contribute billions of dollars annually to Social Security, Medicare, and other tax-funded programs—but they can’t legally benefit from most of them. This makes them net contributors to government systems.

Tuesday, 1 November 2011

Paul Nolting Repost

The 10 Steps to Better Test Taking

Once you begin a test, follow the 10 steps to better test taking below:
Step 1 - Use a memory data dump. Upon receiving your test, turn it over and write down the information that you put on your mental cheat sheet. Your mental cheat sheet has now turned into a mental list and writing down this information is not cheating. Do not put your name on it, do not skim it, just turn it over and write down those facts, figures and formulas from your mental cheat sheet or other information you might not remember during the test. This is called your first memory data dump. The data dump provides memory cues for test questions.
Example: It might take you a while to remember how to do a coin- word problem. However, if you had immediately turn your test over and written down different ways of solving coin-word problems it would be easier to solve the coin-word problem.
Step 2 - Preview the test. Put your name on the test and start previewing. Previewing the test requires you to look through the entire test to find different types of problems and their point values. Put a mark by the questions that you can do without thinking. These are the questions that you will solve first.
Step 3 - Do a second memory data dump. The secondary data dump is for writing down material that was jarred from your memory while previewing the test. Write this information on the back of the test.
Step 4 - Develop a test progress schedule. When you begin setting up a test schedule, determine the point value for each question. You might have some test questions that are worth more points than others.
In some tests, word problems are worth five points and other questions might be worth two or three points. You must decide the best way to get the most points in the least amount of time. This might mean working the questions worth two to three points first and leaving the more difficult word problems for last.
Decide how many problems should be completed half- way though the test. You should have more than half the problems completed by that time.
Step 5 - Answer the easiest problems first Solve, in order, the problems you marked while previewing the test. Then, review the answers to see if they make sense. Start working through the test as fast as you can while being accurate. Answers should be reasonable.
Example: The answer to a . problem of ' to find the area of a rectangle e cannot be negative, and the try
answer to a land-rate-distance problem cannot be 1,000 miles per hour.
Clearly write down each step to get partial credit, even if you end up missing the problem. In most math tests, the easier problems are near the beginning of the first page; you need to answer them efficiently and quickly. This will give you both more time for the harder problems and time to review.
Step 6 - Skip difficult problems. If you find a problem that you do not know how to work, read it twice and automatically skip it. Reading it twice will help you understand the problem and put it into your working memory. While you are solving other problems, your mind is still working on that problem. Difficult problems could be the type of problem you have never seen before or a problem in which you get stuck on the second or third step. In either case, skip the problem and go on to the next one.
Step 7 - Review the skipped problems. When working the skipped problems, think how you have solved other, similar problems as a cue to solving the skipped ones. Also, try to remember how the instructor solved that type of problem on the board.
While reviewing skipped problems, or at any other time, you may have the "Ah, ha!" response. The "Ah, ha!" response is your remembering how to do a skipped problem. Do not wait to finish your current problem. Go to the problem on which you had the "Ah ha" and finish that problem. If you wait to finish your current problem, your "Ah, ha!" response could turn into an "Oh, no!" response.
Step 8 - Guess at the remaining problems Do as much work as you can on each problem, even if it is just writing down the first step. If you cannot write down the first step, rewrite the problem. Sometimes rewriting the problem can jar your memory enough to do the first step or the entire problem. If you leave the problem blank, you will get a zero. Do not waste too much time on guessing or trying to work the problems you cannot do.
Step 9 - Review the test. Look for careless errors or other errors you may have made. Students usually lose two to five test points on errors that could have been caught in review. Do not talk yourself out of an answer just because it may not look right. This often happens when an answer does not come out even. It is possible for the answer to be a fraction or decimal.
Remember: Answers in math do not have "dress codes." Research reveals that the odds of changing a right answer to a wrong answer are greater than the odds of changing a wrong answer to a right one.
Step 10 - Use all the allowed test time. Review each problem by substituting the answer back into the equation or doing the opposite function required to answer the question. If you cannot check the problem by the two ways mentioned, rework the problem on a separate sheet of paper and compare the answers. Do not leave the test room unless you have reviewed each problem two times or until the bell rings.
Remember: There is no prize for handing your test in first, and students who turn their papers in last do make "A's."
Stapling your scratch paper to the math test when handing it in has several advantages:
  • If you miscopied the answer from the scratch paper, you will probably get credit for the answers.
  • If you get the answer incorrect due to a careless error, your work on the scratch paper could give you a few points.
  • If you do get the problem wrong, it will be easier to locate errors when the instructor reviews the test. This will prevent from making the same mistakes on the next math test.
Remember: Handing in your scratch paper may get you extra points or improve your next test score.

Reference:

Paul D. Nolting, Ph.D., Winning at Math, 1997 1989 by Academic Success Press, Inc