pattern

ACT ریاضی اور جائزہ - ریاضی

یہاں آپ ریاضی سے متعلق کچھ انگریزی الفاظ سیکھیں گے، جیسے کہ "ہسٹوگرام"، "تھیوریم"، "میٹرکس" وغیرہ، جو آپ کے اے سی ٹی میں کامیاب ہونے میں مدد کریں گے۔

جائزہ

فلیش کارڈز

ہجے

کوئز

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ACT Vocabulary for Math and Assessment
function
function
[اسم]

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

فنکشن

فنکشن

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

to make a representation of something, especially one based on mathematics

ماڈل بنانا, نمائندگی کرنا

ماڈل بنانا, نمائندگی کرنا

Ex: Economists model supply and demand to understand market trends and make forecasts. 
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constant
constant
[اسم]

a quantity or value that remains the same and does not change in a specific mathematical context

مستقل

مستقل

Ex: Pi is a mathematical constant approximately equal to 3.14159. 
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expression
expression
[اسم]

a combination of numbers, variables, operations, and grouping symbols that collectively represent a numerical value or relationship

اظہار, فارمولا

اظہار, فارمولا

Ex: The algebraic expression ( 2x + 3 ) represents a linear equation when set equal to zero. 
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equivalent
equivalent
[صفت]

(of mathematical expressions or quantities) having the same value or function, even if they appear in different forms

مساوی

مساوی

Ex: The fractions 1/2 and 2/4 are equivalent because they represent the same value. 
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variable
variable
[اسم]

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

متغیر

متغیر

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

a system of numerical values used to quantify and compare levels, degrees, or values

پیمانہ, درجہ بندی

پیمانہ, درجہ بندی

Ex: The earthquake's intensity was measured on the Richter scale. 
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figure
figure
[اسم]

a symbol that represents any number between 0 and 9

ہندسہ, عدد

ہندسہ, عدد

Ex: In mathematics, figures are used to express numerical values. 
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domain
domain
[اسم]

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

ڈومین, تعریف کا دائرہ کار

ڈومین, تعریف کا دائرہ کار

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

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

گراف, منحنی

گراف, منحنی

Ex: The function's graph showed a clear linear pattern. 
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diagram
diagram
[اسم]

a graphic design intended to explain something

ڈایاگرام, نقشہ

ڈایاگرام, نقشہ

Ex: The teacher used a diagram to explain the structure of the cell. 
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histogram
histogram
[اسم]

a diagram consisting of bars with different heights that represent the amount of a variable

ہسٹوگرام, بار چارٹ

ہسٹوگرام, بار چارٹ

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scatter plot
scatter plot
[اسم]

a type of graph used in statistics and data analysis to display and compare two sets of numerical data

بکھرے ہوئے پلاٹ, نقطہ گراف

بکھرے ہوئے پلاٹ, نقطہ گراف

Ex: The scatter plot revealed a positive correlation between hours of study and exam scores. 
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intercept
intercept
[اسم]

the point where a line, curve, or surface crosses an axis on a graph

قطع کا نقطہ, انٹرسیپٹ

قطع کا نقطہ, انٹرسیپٹ

Ex: The y-intercept of the line is where it crosses the y-axis at 
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plane
plane
[اسم]

a flat, two-dimensional surface that extends infinitely in all directions

ہوائی جہاز, ہموار سطح

ہوائی جہاز, ہموار سطح

Ex: In geometry, a plane is defined by three non-collinear points. 
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coordinate
coordinate
[اسم]

any set of numbers that represents an exact position on a map or graph

متناسق, جغرافیائی متناسقات

متناسق, جغرافیائی متناسقات

Ex: The GPS coordinates 35.6895° N, 139.6917° E lead to Tokyo. 
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line of best fit

a straight line drawn through the center of a group of data points on a scatter plot representing the best approximation of the relationship between the variables being studied

بہترین فٹ کی لکیر, رجحان کی لکیر

بہترین فٹ کی لکیر, رجحان کی لکیر

Ex: The line of best fit on the scatter plot showed a clear upward trend. 
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to intersect
to intersect
[فعل]

to meet or cross another path, line, etc. at a particular point

ایک دوسرے کو کاٹنا, ملنا

ایک دوسرے کو کاٹنا, ملنا

Ex: The two roads intersect at the traffic light. 
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interval
interval
[اسم]

a set of real numbers that includes all the numbers between any two specified numbers within the set

وقفہ, درمیانی وقفہ

وقفہ, درمیانی وقفہ

Ex: The interval (a, b), where a and b are real numbers, represents all numbers between a and b but excludes the endpoints. 
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linear function

a mathematical function that creates a straight line when graphed

لکیری فنکشن, لکیری نقشہ

لکیری فنکشن, لکیری نقشہ

Ex: In economics, supply and demand can often be modeled using linear functions to predict market behavior. 
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rational function

a function that can be expressed as the ratio of two polynomials, where the denominator is not zero

ناطق فعل, ناطق کسر

ناطق فعل, ناطق کسر

Ex: To find the vertical asymptotes of a rational function, set the denominator equal to zero and solve for 
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integer constant

a fixed numerical value that is a whole number, either positive, negative, or zero

مستقل عدد, مستقل عدد صحیح

مستقل عدد, مستقل عدد صحیح

Ex: In the expression 2x+5, the integer constant is 5. 
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nonlinear
nonlinear
[صفت]

not following a straight or predictable line, sequence, or pattern

غیر لکیری, غیر متوقع

غیر لکیری, غیر متوقع

Ex: The growth of the economy is often nonlinear, influenced by numerous factors. 
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to correspond

to have a direct relationship or alignment with something else, such as paired values or elements

مطابقت رکھنا, کے ساتھ براہ راست تعلق رکھنا

مطابقت رکھنا, کے ساتھ براہ راست تعلق رکھنا

Ex: Each point on the graph corresponds to a pair of values in the equation. 
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term
term
[اسم]

a single number, variable, or the product of numbers and variables in an expression or equation, separated by addition or subtraction operators

اصطلاح, عنصر

اصطلاح, عنصر

Ex: Combining like terms in an algebraic expression simplifies it. 
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axis
axis
[اسم]

a reference line used in coordinate systems to provide a framework for locating points

محور, حوالہ لائن

محور, حوالہ لائن

Ex: When graphing functions, it's essential to label the axes to provide context for the plotted points. 
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polynominal function

a mathematical function that can be expressed as a sum of terms, where each term is a constant multiplied by a variable raised to a non-negative integer power

پولینومیل فنکشن, کثیرالاسمی فعل

پولینومیل فنکشن, کثیرالاسمی فعل

Ex: In algebra, students learn how to add, subtract, multiply, and factor polynomial functions. 
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to satisfy
to satisfy
[فعل]

to fulfill the conditions or requirements of a mathematical statement, equation, or inequality

پورا کرنا, مطمئن کرنا

پورا کرنا, مطمئن کرنا

Ex: In order to prove the conjecture, we must find an example that satisfies all given conditions and demonstrates the truth of the statement. 
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coefficient
coefficient
[اسم]

a numerical or constant factor that multiplies a variable in an algebraic term

سہ رقمی, ضربی عنصر

سہ رقمی, ضربی عنصر

Ex: The coefficient matrix in the linear system helps to simplify solving for the variable values. 
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quadratic
quadratic
[اسم]

an equation where the highest power of the variable is squared

مربع مساوات

مربع مساوات

Ex: Factoring is one method to solve a quadratic, provided it can be easily factored. 
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regression
regression
[اسم]

a statistical method used to model and analyze the relationship between a dependent variable and one or more independent variables

رجحان

رجحان

Ex: Linear regression is used to find the best-fitting line through a set of data points. 
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equidistant
equidistant
[صفت]

having equal distances from two or more points

ہم فاصلہ, دو یا زیادہ نقاط سے برابر فاصلے پر

ہم فاصلہ, دو یا زیادہ نقاط سے برابر فاصلے پر

Ex: The point is equidistant from both the x-axis and the y-axis in the coordinate plane. 
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collinear
collinear
[صفت]

having points that lie on the same straight line

ہم خط, ایک ہی سیدھی لائن پر واقع

ہم خط, ایک ہی سیدھی لائن پر واقع

Ex: The three points are collinear, forming a straight line on the graph. 
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theorem
theorem
[اسم]

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

قضیہ

قضیہ

Ex: Mathematicians often prove theorems to establish mathematical truths. 
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period
period
[اسم]

a recurring interval or length associated with a mathematical function or pattern

دور, وقفہ

دور, وقفہ

Ex: The period of a trigonometric function is the length of the interval over which the function repeats its values. 
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to evaluate
to evaluate
[فعل]

to find the numerical value of an expression, equation, or function by substituting specific values for the variables

تشخیص دینا

تشخیص دینا

Ex: Evaluating complex mathematical expressions often involves breaking down the problem into simpler steps. 
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expanded notation

a way of representing numbers as the sum of each digit multiplied by its place value

وسیع شدہ علامت, عددی تجزیہ

وسیع شدہ علامت, عددی تجزیہ

Ex: Students learn expanded notation to better understand the structure and value of numbers. 
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scientific notation

a method of writing numbers as the product of a coefficient and a power of 10

سائنسی اشارہ, سائنسی تحریر

سائنسی اشارہ, سائنسی تحریر

Ex: When discussing the size of galaxies, astronomers often use scientific notation to represent their vast distances from Earth. 
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matrix
matrix
[اسم]

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

میٹرکس, جدول

میٹرکس, جدول

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

a single number calculated from the elements of a square matrix that indicates important properties, like whether the matrix can be inverted

مقرر

مقرر

Ex: If the determinant of a matrix is zero, the matrix is singular and does not have an inverse. 
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factorial
factorial
[اسم]

the product of all positive whole numbers from 1 to a given number

فیکٹوریل, فیکٹوریل

فیکٹوریل, فیکٹوریل

Ex: The factorial of 5 is calculated as 5!=5×4×3×2×1=120. 
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vector
vector
[اسم]

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

ویکٹر, ویکٹر

ویکٹر, ویکٹر

Ex: In physics, force is often represented as a vector, considering both its magnitude and direction. 
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standard coordinate plane

a two-dimensional system used to represent points in space

معیاری محدداتی سطح, معیاری کارتیسی سطح

معیاری محدداتی سطح, معیاری کارتیسی سطح

Ex: The standard coordinate plane provides a visual representation of mathematical relationships between variables in two dimensions. 
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trigonometric function

a mathematical function that relates the angles of a triangle to the lengths of its sides, commonly including sine, cosine, and tangent

مثلثاتی فعل

مثلثاتی فعل

Ex: The sine and cosine trigonometric functions are fundamental in calculating wave patterns. 
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augmented matrix

a way of representing a system of linear equations in matrix form

اضافی میٹرکس, مزید میٹرکس

اضافی میٹرکس, مزید میٹرکس

Ex: To solve a system of linear equations using the method of Gaussian elimination, we first write the system in augmented matrix form. 
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unit vector
unit vector
[اسم]

a vector that has a magnitude of 1 and represents direction without regard to scale

اکائی ویکٹر, 1 کے حجم والا ویکٹر

اکائی ویکٹر, 1 کے حجم والا ویکٹر

Ex: A unit vector is often employed in mathematics to define orthonormal bases and to describe geometric transformations. 
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