| Persian hint | Quick math example | Common non-math meaning | Math meaning (what it really means) | Word | # |
| تابع | “f(x)=x2f(x)=x^2 is a function.” | a role/purpose; a formal event | a rule mapping each input to exactly one output | function | 1 |
| متغیّر | “Solve for the variable xx.” | changeable/unstable | a symbol whose value can change within a problem | variable | 2 |
| حد | “limx→0sinxx=1\lim_{x\to0}\frac{\sin x}{x}=1.” | boundary/maximum | the value a function approaches as input approaches something | limit | 3 |
| ریشه / صفرِ معادله | “Roots of x2−1=0x^2-1=0 are ±1.” | plant root/origin | a solution where an expression equals zero | root | 4 |
| برد | “Range of f(x)=x2f(x)=x^2 is [0,∞)[0,\infty).” | extent/scope | the set of possible outputs of a function | range | 5 |
| دامنه | “Domain of x\sqrt{x} is x≥0x\ge0.” | territory/field | the set of allowed inputs | domain | 6 |
| توان | “252^{5} = 32 (power 5).” | strength/electric power | exponent; repeated multiplication | power | 7 |
| عامل / تجزیه کردن | “Factor x2−9=(x−1)(x+1)?x^2-9=(x-1)(x+1)? (no → x2−9=(x−3)(x+3)x^2-9=(x-3)(x+3)).” | cause/element | (n.) number that divides; (v.) to write as a product | factor (v./n.) | 8 |
| حاصل‌ضرب | “Product of 7 and 5 is 35.” | goods/merchandise | the result of multiplication | product | 9 |
| میانگین (میانگین حسابی) | “Mean of 2, 5, 9 is 16/316/3.” | intend/cruel (“mean person”) | arithmetic mean unless stated otherwise | mean | 10 |
| میانگین (دقیق باش: کدام نوع؟) | “Average speed = total distance ÷ time.” | typical/ordinary | often used = arithmetic mean, but can be any “measure of center” | average | 11 |
| معنادار (آماری) | “Result is significant at p<0.05p<0.05.” | important/notable | statistically unlikely by chance; “p-value small” | significant | 12 |
| تصادفی (با توزیع مشخص) | “Pick a random sample of 100.” | messy/meaningless | chosen by chance with a known probability model | random | 13 |
| نرمال (گاوسی)/عمود | “X∼N(0,1)X\sim\mathcal N(0,1)” or “normal vector to a plane.” | usual/ordinary | (stats) Gaussian distribution; (geometry) perpendicular | normal | 14 |
| نما | “Modes of 1,1,2,3,3 are 1 and 3.” | manner/mode on a device | most frequent value in a dataset | mode | 15 |
| اوّل (عدد اوّل) | “7 is prime; 9 isn’t.” | best/prime time | integer with exactly two positive divisors | prime | 16 |
| مرتبه / ترتیب (بستگی به زمینه دارد) | “Order of group S3S_3 is 6.” | arrangement/command | depends on field: size of group; degree of differential eq.; growth rate (big-O) | order | 17 |
| درجه / درجهٔ چندم | “Degree of x3+2xx^3+2x is 3; 90° is a right angle.” | academic degree/temperature | angle measure; polynomial’s highest exponent; graph vertex degree | degree | 18 |
| نرخ / آهنگ تغییر | “Rate of change ≈ derivative; km/h.” | price/rating | change per unit; ratio of two quantities | rate | 19 |
| برهان / اثبات | “Proof by induction.” | evidence/document | a logically complete argument establishing truth | proof | 20 |
