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Basic Sciences - Toán học

Study terms related to mathematical fields, equations, functions, variables, graphs, proofs, probability, and trigonometric concepts.

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Words Related to Basic Sciences

mathematical

[Tính từ]

related to or used in mathematics

toán học, liên quan đến toán học

toán học, liên quan đến toán học

Ex: She employed mathematical equations to solve complex problems in physics.

Đóng

[Danh từ]

someone who is a specialist or expert in mathematics

nhà toán học, chuyên gia toán học

nhà toán học, chuyên gia toán học

Ex: The mathematician worked late into the night on his latest theory.

Đóng

[Danh từ]

a branch of mathematics in which abstract letters and symbols represent numbers in order to generalize the arithmetic

đại số

đại số

Ex: In high school, students typically begin studying algebra to learn about equations and variables.

Đóng

[Danh từ]

a branch of mathematics that deals with addition, subtraction, multiplication, etc.

số học

số học

Ex: Students in elementary school learn basic arithmetic operations such as addition, subtraction, multiplication, and division.

Đóng

[Danh từ]

the branch of mathematics that comprises differentials and integrals

giải tích, phép tính

giải tích, phép tính

Ex: Calculus is used to find the area under a curve.

Đóng

integral calculus

integral calculus

[Danh từ]

(mathematics) the branch of calculus that finds total amounts like areas, volumes, and accumulated sums

Ex: Integral calculus is used to calculate the area under a curve on a graph.

Đóng

differential calculus

differential calculus

[Danh từ]

a branch of mathematics that focuses on studying rates of change and instantaneous variations through the concept of derivatives

vi phân

vi phân

Ex: Differential calculus helps us find how quickly something changes.

Đóng

[Danh từ]

the branch of mathematics that deals with the relation between the lines, angles and surfaces or the properties of the space

hình học

hình học

Ex: She studied geometry to understand the principles of shapes and angles.

Đóng

[Danh từ]

a branch of mathematics that deals with the relationships between the angles and sides of triangles

lượng giác, môn lượng giác

lượng giác, môn lượng giác

Ex: In trigonometry, the sine function (sin) relates the ratio of the length of the opposite side to the hypotenuse in a right-angled triangle.

Đóng

[Danh từ]

a question that can be answered by mathematics or logical thinking

vấn đề, câu đố

vấn đề, câu đố

Ex: In the competition, each team had to solve the same set of problems

Đóng

[Danh từ]

a correct answer to a problem in mathematics or a puzzle

giải pháp, lời giải

giải pháp, lời giải

Ex: After careful analysis, she found the solution to the complex algebraic equation.

Đóng

product

[Danh từ]

the result of multiplying two or more numbers or quantities together

tích, kết quả của phép nhân

tích, kết quả của phép nhân

Ex: The product of 3 and 4 is 12.

Đóng

variable

[Danh từ]

(mathematics) a quantity that is capable of assuming different values in a calculation

biến số

biến số

Ex: In algebra, variables such as x, y, and z represent quantities that can vary or change in value.

Đóng

domain

[Danh từ]

the set of all possible input values for which a given function is defined

miền xác định, tập xác định

miền xác định, tập xác định

Ex: To find the domain of a rational function, exclude any values that make the denominator zero.

Đóng

equation

[Danh từ]

(mathematics) a statement indicating the equality between two values

phương trình

phương trình

Ex: In algebra, solving equations involves finding the values of variables that satisfy the equality stated.

Đóng

polynomial

[Danh từ]

a mathematical expression with variables raised to powers and combined using arithmetic operations

đa thức, biểu thức đa thức

đa thức, biểu thức đa thức

Ex: Polynomials are used to represent curves in algebraic geometry.

Đóng

formula

[Danh từ]

(mathematics) a rule or law represented in symbols, letters, or numbers

công thức

công thức

Ex: The quadratic formula provides a method for finding the roots of a quadratic equation.

Đóng

proof

[Danh từ]

a logical argument composed of a series of steps, each following from the previous, demonstrating that a statement is true

bằng chứng, chứng minh

bằng chứng, chứng minh

Ex: The mathematician presented a proof of the theorem.

Đóng

function

[Danh từ]

(mathematics) a quantity whose value changes according to another quantity's varying value

hàm số

hàm số

Ex: In calculus, a function represents a relationship between input and output variables, often denoted as f(x).

Đóng

logarithm

[Danh từ]

a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number

lôgarit

lôgarit

Ex: In the logarithm log₂(8) = 3, the base 2 raised to the power of 3 equals 8.

Đóng

ratio

[Danh từ]

the result of dividing one number, quantity, or expression by another

tỷ lệ, tỷ số

tỷ lệ, tỷ số

Ex: The ratio of 10 to 2 is 5.

Đóng

matrix

[Danh từ]

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

ma trận, bảng

ma trận, bảng

Ex: A 2x3 matrix represents a collection of numbers organized in two rows and three columns.

Đóng

operator

[Danh từ]

(in mathematics) a function or symbol that performs a mathematical operation

toán tử, phép toán

toán tử, phép toán

Ex: The plus sign is an operator that adds two numbers.

Đóng

[Danh từ]

(mathematics) a number representing the chances of something specific happening

xác suất

xác suất

Ex: The probability of rolling a six on a fair die is one-sixth.

Đóng

sine

[Danh từ]

(mathematics) the ratio of the length of the side opposite the given angle to the length of the hypotenuse

sin

sin

Đóng

cosine

[Danh từ]

(mathematics) the ratio of the adjacent side to the hypotenuse

cosin, cosin

cosin, cosin

Đóng

tangent

[Danh từ]

(mathematics) the ratio of the opposite to the adjacent side of a triangle that has one angle of 90°

tang, đường tiếp tuyến

tang, đường tiếp tuyến

Ex: If the tangent of an angle is 1, it means the height and base of our triangle are the same.

Đóng

[Danh từ]

a straight line that defines the symmetry or structure of a figure or object

trục, trục đối xứng

trục, trục đối xứng

Ex: The artist drew an axis to guide the proportions of the face.

Đóng

graph

[Danh từ]

(in mathematics) a set of points with coordinates that satisfy specific relationships

đồ thị, đường cong

đồ thị, đường cong

Ex: The function's graph showed a clear linear pattern.

Đóng

curve

[Danh từ]

a line on a graph or chart representing a set of data

đường cong, đường uốn cong

đường cong, đường uốn cong

Ex: The curve on the graph showed rising temperatures over the year.

Đóng

infinity

[Danh từ]

(mathematics) a quantity or value that is larger than any finite number and has no limit

Ex: The sequence of counting numbers goes on to infinity without ever ending.

Đóng

theorem

[Danh từ]

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

định lý

định lý

Ex: Mathematicians often prove theorems to establish mathematical truths.

Đóng

Basic Sciences
Branches of Science	Sinh học	Cellular Biology	Substances
Zoology & Botany	Reproduction	Genetics	Hóa học
Chemical Reactions	Molecules & Matter	Chemical Elements	Physics & Energy
Mechanics	Matter & Wave Properties	Meteorology & the Solar System	Thiên văn học
Toán học	Arithmetic	Geometry & Trigonometry	Measurement Units

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