calculus
calculus — noun
1. a field of mathematics that examines how quantities vary over time, using deriva
a field of mathematics that examines how quantities vary over time, using derivatives and integrals to handle rates of change, slopes, and area
Ravi struggled with differential calculus at first but later enjoyed solving rate-of-change problems.
compound noun: differential calculus / integral calculus
The engineering students spent the semester learning integral calculus to compute areas under curves.
In high school, calculus is often the most advanced math course offered.
Beatriz used multivariable calculus to model airflow around a new car design for her project.
文法句型
calculus
the calculus
用法筆記
Uncountable noun; often used without an article ('studying calculus') or with 'the' ('the calculus of variations'). Each subfield is named with an adjective: differential calculus, integral calculus, multivariable calculus.
常見錯誤
2. a process of carefully weighing the costs, benefits, and risks of different opti
a process of carefully weighing the costs, benefits, and risks of different options in a complex situation before making a decision
The politician's electoral calculus proved wrong when a storm shifted voter turnout in the capital.
pattern: [person]'s [adjective] calculus
Leila made a quiet calculus of the risks before she accepted the hospital renovation role.
pattern: a calculus of [noun]
The CEO's calculus about expanding overseas showed that the potential profit outweighed the startup costs.
Every commander knows that the calculus of war includes human losses no number can capture.
- calculation
more general; calculus implies a more complex, multi-factor assessment
- reasoning
broader; calculus emphasizes weighing trade-offs
- assessment
more neutral; calculus suggests strategic or political context
文法句型
a/the calculus of [something]
用法筆記
Frequently appears in the pattern 'the [person]'s calculus' or 'a/the calculus of [something]'. Common collocates include 'political', 'electoral', 'strategic', 'moral', and 'economic'.
常見錯誤
3. a hard, stone-like deposit made of mineral salts that forms inside an organ or d
a hard, stone-like deposit made of mineral salts that forms inside an organ or duct of the body, such as the kidneys, gallbladder, or bladder
The doctor said a small calculus in Priya's kidney might pass without surgery.
countable: a calculus / calculi (plural form)
Yusuf had two gallstones removed after an ultrasound showed the calculi blocking his bile duct.
A renal calculus can cause sharp lower back pain when it moves through the urinary tract.
Patients with a biliary calculus often feel sudden pain in the upper right belly after fatty meals.
- stone
common term; 'calculus' is the formal medical name
- kidney stone
specific to the kidneys; calculus covers all body sites
- gallstone
specific to the gallbladder
文法句型
a calculus
calculi (plural)
用法筆記
Countable noun; the plural form 'calculi' is standard in medical writing. Often preceded by an adjective specifying the location: 'renal calculus' (kidney), 'biliary calculus' (gallbladder), 'vesical calculus' (bladder).
常見錯誤
4. a hardened layer of dental plaque that builds up on the surfaces of teeth and al
a hardened layer of dental plaque that builds up on the surfaces of teeth and along the gum line when brushing is not thorough enough
The hygienist used a tool to scrape the calculus off Mei's lower front teeth during the cleaning.
uncountable noun: dental calculus
Regular flossing helps prevent the buildup of calculus on the back molars where a brush cannot reach easily.
collocation: buildup of calculus
If dental calculus is left untreated for too long, it can lead to swollen gums and gum disease.
The dentist showed Tomas the yellowish calculus on his X-ray and explained why his gums were bleeding.
文法句型
dental calculus
calculus on [teeth]
用法筆記
Uncountable noun in this sense; more commonly referred to as 'tartar' in everyday dental checkups. The phrase 'dental calculus' is the formal clinical term.