Which Free Linear Algebra Books Are Recommended By Universities?

I get asked this all the time, especially by friends who want to put a cute female cartoon on merch or use it in a poster for their small shop. The short reality: a cartoon female character photo is not automatically free for commercial use just because it looks like a simple drawing or a PNG on the internet. Characters—whether stylized or photoreal—are protected by copyright from the moment they are created, and many are also subject to trademark or brand restrictions if they're part of an established franchise like 'Sailor Moon' or a company-owned mascot. That protection covers the artwork and often the character design itself. If you want to use one commercially, check the license closely. Look for explicit permissions (Creative Commons types, a commercial-use stock license, or a written release from the artist). Buying a license or commissioning an original piece from an artist is the cleanest route. If something is labeled CC0 or public domain, that’s safer, but double-check provenance. For fan art or derivative work, you still need permission for commercial uses. I usually keep a screenshot of the license and the payment record—little things like that save headaches later, which I always appreciate.

I get asked this kind of thing a lot in book groups, and my short take is straightforward: I haven’t seen any major film adaptations of books by Hilary Quinlan circulating in theaters or on streaming platforms. From my perspective as someone who reads a lot of indie and midlist fiction, authors like Quinlan often fly under the radar for big-studio picks. That doesn’t mean their stories couldn’t translate well to screen — sometimes smaller presses or niche writers find life in festival shorts, stage plays, or low-budget indie features long after a book’s release. If you love a particular novel, those grassroots routes (local theater, fan films, or a dedicated short) are often where adaptation energy shows up first. I’d be thrilled to see one of those books get a careful, character-driven film someday; it would feel like uncovering a secret treasure.

Picking up a book labeled for younger readers often feels like trading in a complicated map for a compass — there's still direction and depth, but the route is clearer. I notice YA tends to center protagonists in their teens or early twenties, which naturally focuses the story on identity, first loves, rebellion, friendship and the messy business of figuring out who you are. Language is generally more direct; sentences move quicker to keep tempo high, and emotional beats are fired off in a way that makes you feel things immediately. That doesn't mean YA is shallow. Plenty of titles grapple with grief, grief, abuse, mental health, and social justice with brutal honesty — think of books like 'Eleanor & Park' or 'The Hunger Games'. What shifts is the narrative stance: YA often scaffolds complexity so readers can grow with the character, whereas adult fiction will sometimes immerse you in ambiguity, unreliable narrators, or long, looping introspection. From my perspective, I choose YA when I want an electric read that still tackles big ideas without burying them in stylistic density; I reach for adult novels when I want to be challenged by form or moral nuance. Both keep me reading, just for different kinds of hunger.

I get a real kick out of how clean VSEPR can make sense of what looks weird at first. For XeF2 the simplest way I explain it to friends is by counting the regions of electron density around the xenon atom. Xenon brings its valence electrons and there are two bonding pairs to the two fluorines, plus three lone pairs left on xenon — that’s five electron domains in total. Five regions arrange into a trigonal bipyramid to minimize repulsion, and that’s the key setup. Now here’s the clever bit that fixes the shape: lone pairs hate 90° interactions much more than 120° ones, so the three lone pairs sit in the three equatorial positions of that trigonal bipyramid where they’re separated by roughly 120°. The two fluorine atoms then end up occupying the two axial positions, exactly opposite each other. With the bonded atoms at opposite ends, the molecular shape you observe is linear (180°). That arrangement also makes the overall molecule nonpolar because the two Xe–F bond dipoles cancel each other. I like to add that older textbook sketches called on sp3d hybridization to picture the geometry, but modern orbital explanations lean on molecular orbital ideas and electron-pair repulsion — either way the experimental evidence (spectroscopy, X-ray studies) confirms the linear geometry. It’s neat chemistry that rewards a little puzzle-solving, and I still enjoy pointing it out to people who expect all noble gases to be inert — xenon clearly has opinions.

If you're hunting for a laugh-out-loud spin on 'Dune' or a silly retelling of 'The Time Machine', my go-to starting point is Archive of Our Own. AO3's tag system is a dream for digging up comedy: search 'humor', 'parody', 'crack', or toss in 'crossover' with something intentionally absurd (think 'Dune/X-Men' or 'Foundation/Harry Potter' parodies). I personally filter by kudos and bookmarks to find pieces that other readers loved, and then follow authors who consistently write witty takes. Beyond AO3, I poke around Tumblr microfics for one-shot gags and Wattpad for serialized absurd reimaginings—Wattpad often has modern-AU comedic rewrites of classics that lean into meme culture. FanFiction.net still has a huge archive, though its tagging is clunkier; search within category pages for titles like 'Frankenstein' or 'The War of the Worlds' and then scan chapter summaries for words like 'humor' or 'au'. If you like audio, look up fanfiction readings on YouTube or podcasts that spotlight humorous retellings. Reddit communities such as r/fanfiction and r/WritingPrompts regularly spawn clever, comedic takes on canonical works. Personally, I get the biggest kick from short, sharp pieces—drabbles and drabble collections—that turn a grave sci-fi premise into pure silliness, and I love bookmarking authors who can do that again and again.

If you're hunting for a free piano version of 'Rewrite the Stars', there are definitely options — but the quality and legality vary, so I usually approach the search like a little scavenger hunt. First stop is MuseScore.com: lots of folks upload their arrangements there, from super-simple beginner sheets to more involved transcriptions. Some are free to download, others you can view in the browser or download as MIDI to import into notation software and tweak. YouTube is another goldmine — many pianists post tutorial videos with on-screen notation or link to printable PDFs in the description (just double-check whether that PDF is user-made or an official licensed score). Beyond that, sites like MusicNotes and Sheet Music Plus sell licensed, polished arrangements if you want the official thing. If I want a quick practice piece I sometimes grab a free lead sheet or chord chart from chord sites and make my own left-hand pattern; it’s a fun way to learn ear-training too. Personally, I tend to buy the official sheet eventually because the professionally arranged version saves practice time and it feels good to support the creators, but free user arrangements are great for getting started.

Hunting for playful lines that stick in a kid's head is one of my favorite little obsessions. I love sprinkling tiny zingers into stories that kids can repeat at the playground, and here are a bunch I actually use when I scribble in the margins of my notes. Short, bouncy, and silly lines work wonders: "The moon forgot its hat tonight—do you have one to lend?" or "If your socks could giggle, they'd hide in the laundry and tickle your toes." Those kinds of quotes invite voices when read aloud and give illustrators a chance to go wild with expressions. For a more adventurous tilt I lean into curiosity and brave small risks: "Maps are just secret drawings waiting to befriend your feet," "Even tiny owls know how to shout 'hello' to new trees," or "Clouds are borrowed blankets—fold them neatly and hand them back with a smile." I like these because they encourage imagination without preaching. When I toss them into a story, I picture a child turning a page and pausing to repeat the line, which keeps the rhythm alive. I also mix in a few reassuring lines for tense or new moments: "Nervous is just excitement wearing a sweater," and "Bravery comes in socks and sometimes in quiet whispers." These feel honest and human while still being whimsical. Bedtime and lullaby-style quotes call for softer textures. I often write refrains like "Count the stars like happy, hopped little beans—one for each sleepy wish," or "The night tucks us in with a thousand tiny bookmarks." For rhyme and read-aloud cadence I enjoy repeating consonants and short beats: "Tip-tap the raindrops, let them drum your hat to sleep." I also love interactive lines that invite a child to answer, such as "If you could borrow a moment, what color would it be?" That turns reading into a game. Honestly, the sweetest part for me is seeing a line land—kids repeating it, parents smiling, artists sketching it bigger, and librarians whispering about it behind the counter. Those tiny echoes are why I keep writing these little sparks, and they still make me grin every time.

One book that really stands out to me when it comes to tackling adversity is 'The Alchemist' by Paulo Coelho. This story encapsulates the journey of self-discovery and the importance of pursuing your dreams, even when the odds are stacked against you. The protagonist, Santiago, faces numerous challenges throughout his travels, from losing his flock of sheep to being robbed in Tangier. Yet, what I love about this novel is that it’s not just about physical challenges but emotional and spiritual ones too. It really resonates with anyone who has ever felt lost or unsure about their path in life. Coelho beautifully illustrates that every setback is just a stepping stone toward personal growth. The message of listening to your heart and recognizing the signs from the universe really encourages readers to keep pushing forward, and that provides a bittersweet sort of hope. I’ve personally found this book to be a source of inspiration in tough times, reminding me that every struggle is part of a larger journey. Plus, the way Coelho weaves in elements of magical realism makes it feel like you’re embarking on an enchanting adventure rather than merely reading a self-help book. On the other hand, a more modern classic that hits close to home is 'Educated' by Tara Westover. This memoir narrates her incredible journey from a strict and isolated upbringing in rural Idaho to earning a PhD from Cambridge University. What astonishes me about Westover’s story is her relentless pursuit of knowledge in the face of overwhelming adversity. Growing up without formal education and within a family that was deeply suspicious of conventional societal norms, she embodies the struggle against ignorance and oppression. The raw honesty with which she shares her experiences strikes a chord, particularly her battles against familial loyalty and her thirst for personal growth. I often reflect on how it relates to my own challenges; pursuing education in unconventional environments can sometimes feel like swimming against the current. Westover’s ultimate success, despite her humble beginnings, inspires anyone who feels trapped by circumstance. Her message rings true: you hold the power to change your narrative. Both 'The Alchemist' and 'Educated' remind us that adversity can refine our character if we embrace it and continue to seek our true purpose in life.