brain
tamnd's digital brain — notes, problems, research
41965 notes
HSK 6 | verb/adj | to refine to a high degree; precise and economical in expression
HSK 5 | noun / verb | proposition, thesis, problem; to set a topic or exam question
HSK 1 | noun/verb | learning or studying; the act of acquiring knowledge
HSK 4 | n/v | a successful outcome in a contest or struggle
The complete sound change history from Primitive Elvish through Common Telerin and Old Sindarin to Classical Sindarin — explaining WHY mutations exist and how the vowel system developed.
HSK 3 | modal verb | must, have to — expresses strong obligation or necessity
出 (shutsu/sui/de-ru): exit. JLPT N5 kanji.
Sindarin conditional mood using aen and the subjunctive: expressing hypothetical situations, wishes, and uncertainty.
HSK 4 | conjunction | a formal connector meaning however or nevertheless
HSK 6 | verb | to bear the weight of; to carry (physical load or abstract meaning/responsibility)
三 (three): 3 strokes, JLPT N5. On: サン. Kun: み、み-つ、みっ-つ.
Sindarin nasal mutation: the complete and corrected change table, scholarly debate on voiceless stops, all triggers (plural article in, preposition an, verb-prefix en-), and worked examples.
HSK 5 | noun | the outer surface or outward appearance of something
HSK 1 | noun | Chinese language, written Chinese
HSK 6 | adv | used to concede something as true before introducing a contrasting or qualifying point
HSK 2 | preposition/verb | comparison marker; A比B + adj structure
来 (rai/ku-ru): come. JLPT N5 kanji.
HSK 4 | adjective | the most important or central element
HSK 5 | noun | ethics; ethical principles; moral philosophy
HSK 5 | noun | skill; practical ability acquired through training or practice
年 (nen/toshi): year. JLPT N5 kanji.
HSK 3 | verb | to mistakenly believe something to be true
HSK 5 | verb/noun | the act of holding someone responsible for their actions or failures
HSK 3 | noun | arm, the upper limb from shoulder to wrist
図 (zu/to/haka-ru): map. JLPT N5 kanji.
HSK 5 | noun | a course of study; a curriculum or program of classes
Master formal Japanese time and occasion markers used in official speeches, ceremonies, and business announcements — 〜にあたって, 〜に際して, 〜に先立って, and more.
HSK 3 | verb | to know well through inquiry or experience; deeper than 知道
HSK 3 | verb | to move, to carry, to relocate
HSK 3 | noun | situation, condition, circumstances — the state of affairs at a given moment
店 (store, shop): 8 strokes, JLPT N5. On: テン. Kun: みせ.
HSK 4 | adjective | formal, official, or done according to proper procedure
HSK 5 | noun | foreign exchange, foreign currency
Learn to order food and drinks, express what you want to eat using 想 and 要, and talk about Chinese cuisine.
HSK 1 | ordinal number | the ordinal prefix 第 plus one; first in a sequence
HSK 5 | verb | to release; to issue officially; to publish
HSK 5 | verb / noun | to express; to perform; performance; behavior
HSK 5 | noun | materials used for teaching, including textbooks and instructional resources
Step-by-step Esperanto learning roadmap from absolute beginner to complete mastery.
HSK 3 | noun | a question that needs an answer, or a problem that needs a solution
HSK 3 | adverb | describes a recurring pattern observed from experience
HSK 1 | number | the digit seven
Learn how to use 〜をはじめ (wo hajime) to express 'starting with' or 'including' when listing a representative example of a broader group. Includes structure, nuance, examples, and comparisons.
川 (river): 3 strokes, JLPT N5. On: セン. Kun: かわ.
HSK 3 | noun | sugar; candy, sweets
Learn how to use 〜に際して (ni saishite) to express 'on the occasion of' or 'at the time of' for significant events and actions. Includes structure, nuance, examples, and comparisons.
日 (day, sun): 4 strokes, JLPT N5. On: ニチ、ジツ. Kun: ひ、び、か.
HSK 2 | phrase | standard response to thanks; also means 'don't be polite'
HSK 1 | proper noun | China
We are given an $n times n$ matrix where each entry $d[i][j]$ represents the distance between nodes $i$ and $j$. The question asks whether there exists a weighted tree with $n$ nodes such that the distance along the tree between any two nodes exactly matches the corresponding…
HSK 3 | verb / noun | to answer, to reply; an answer, a response
JLPT N4 kanji 郵 — readings, vocabulary, stroke order, mnemonic, and common confusion pairs.
HSK 3 | adjective | feeling emotional pain or sadness
HSK 5 | noun | one's sense of personal worth and dignity
HSK 5 | verb/adjective | to inspire; to invigorate; filled with excitement and spirit
鳥 (チョウ/とり): bird. JLPT N5 essential kanji.
HSK 3 | noun | knowledge; information learned through study or experience
HSK 3 | adjective/verb | fully developed in body, mind, or flavor
HSK 3 | noun | neck, the part of the body connecting the head to the shoulders
前 (before, front): 9 strokes, JLPT N5. On: ゼン. Kun: まえ.
Complete N3 exam preparation guide: test format, question type breakdowns, 90-day study plan from N4, most-confusable grammar pairs, kanji reading drills, and test-day strategies.
Master all five major causal expression patterns at N3 level: 〜ため(に), 〜によって/〜による, 〜から/〜ので, 〜て/〜で, and 〜ことから — with full comparative analysis.
HSK 5 | noun / verb | reform, transformation, fundamental change
校 (school): 10 strokes, JLPT N5. On: コウ. Kun: none.
HSK 2 | adverb | marks the welcome or long-awaited end of a process
HSK 4 | noun | a recurring sequence of events or a defined time span
HSK 3 | grammar pattern | 把 sentence with result complement 完 indicating complete disposal
Essential Sindarin greetings and phrases directly from Tolkien's texts: Mae govannen, Hannon le, Navaer, Le abdollen, and more.
HSK 1 | number | the digit ten; the base unit of the decimal system in Chinese
HSK 1 | adjective | short (in length or duration)
HSK 3 | noun | tour guide, someone who leads tourists
HSK 3 | verb / particle | to wait; and so on, et cetera (sentence-final particle)
Develop the vocabulary and analytical grammar to discuss Chinese literary works, artistic movements, and aesthetic criticism at the B2 level.
HSK 4 | noun | boss; owner; employer
HSK 3 | noun | a country other than one's own
HSK 4 | adjective | not in accordance with reason or logic
目 (eye): 5 strokes, JLPT N5. On: モク、ボク. Kun: め.
HSK 4 | verb/noun | to train, to provide training; training
HSK 2 | noun | direction word indicating the left-hand side
HSK 2 | adjective | morally bad, of poor quality, or physically broken/spoiled
HSK 5 | verb | to investigate deeply; to explore and inquire into the nature of something
HSK 3 | noun | machine, apparatus, device
HSK 1 | greeting phrase | reassures someone after an apology
HSK 3 | noun | environment, surroundings — the physical or social context around you
Learn how to use 〜ざるを得ない (zaru wo enai) to express reluctant necessity — 'have no choice but to; can't help but do.' Includes structure, nuance, examples, and comparisons.
We start with a connected undirected graph. Every edge must be assigned a direction. After all directions are chosen, some ordered pairs of vertices $(u,v)$ will satisfy that there is a directed path from $u$ to $v$. The goal is not to make the graph strongly connected.
HSK 4 | verb | to approve; to authorize; to sanction
HSK 3 | noun/verb | an activity, event, or to move around
時 (time, hour): 10 strokes, JLPT N5. On: ジ. Kun: とき.
HSK 1 | verb | to sit, to take (a vehicle)
HSK 5 | noun | the physical components of a computer or device
Express additive and cumulative relationships using 不但...而且, 既...又, and 不仅...还 at B1 level.
Core list of ~200 most useful attested Sindarin (S.) words — the essential vocabulary every learner needs, drawn from Tolkien's own texts.
Complete HSK 4 vocabulary reference: approximately 1,000 new words at B1 level, organized by semantic category with pinyin, English, part of speech, and usage notes.
技術 (ぎじゅつ / gijutsu): technology, skill. N4 level Japanese vocabulary.
HSK 5 | verb / noun | to clarify or illustrate; an explanation or instructions
東 (east): 8 strokes, JLPT N5. On: トウ. Kun: ひがし.
JLPT N4 kanji 図 — readings, vocabulary, stroke order, mnemonic, and common confusion pairs.
HSK 1 | adjective | new, fresh, modern
HSK 4 | noun/verb | a planned estimate of income and expenditure