أكاديميا - كولنز - معاجم الجيب العلمية - الرياضيات - انكليزي -فرنسي -عربي الحرف ٤_ c

Academia - Collins - Pocket Scientific Dictionaries - Mathematics - English - French - Arabic Letter 4_ C

common difference
raison f

A common difference is the difference between successive terms in an
arithmetic progression.
For example:
In the sequence 8,11,14,17,20 the common difference is 3.

In the sequence 19.17,15,13,11 the common difference is -2.

common logarithm
logarithme m natural

Decimal logarithm (general). Logarithms with base ten are called common logarithms.

commutative
commutatif

Commutative. Any operation ⏺ that has the property a⏺b=b⏺a for all members a and b of a given set is called a commutative operation.

Multiplication of real numbers is a commutative operation because 7×3 = 3×7

Subtraction is not commutative, for example: 7-3 does not equal 3-7.

complement
complément m

Complement. The complement of a set S is the set that consists of elements of the universal set that are not in S.

The complement of S is usually referred to as S.

The shaded part in the figure above represents the complement, and if 6 = {alphabets) and C = (consonants).

Then C = (vowels).

complementary angles
angles m complementaires

Complementary angles. Angles whose sum is 90 are complementary angles.

The angles BAC and BCA in the right triangle ABC are complementary angles. BAC is the complement of BCA.

complete the square
carré m parfait

Complete the square. A method for solving a quadratic equation by reducing it to the form:

(x+h)²=k

For example:

2x² + 12x-3= 0 = x² + 6x - 1.5 = 0 ⇒ x² + 6x = 1.5 (x + 3)² - 9 = 1.5 ⇒ (x + 3)² = 10.5x + 3 = ±3.24 ⇒x=0.24 or x = -6.24

complex numbers
nombres mpl complexes

Complex numbers. An extension of the real number system originally designed to overcome the difficulties associated with solving problems such as x² +3=0 that have no solution in real numbers.

Complex numbers are usually written in the form a+bi, where a and b are real numbers and 1-=2: a is called the real part and b the imaginary part. The problem 0 = x2 + 3 has two solutions:
x = / 3i and x = - / 3i.

In addition:

a + bi ) + ( c + di ) = ( a + c ) + ( bdi ).

In multiplication:
( a + bi ) × ( c + di ) = ( ac - bd ) + ( ad + bc ) i.

Complex numbers have important implications in many branches of pure and applied mathematics.

component
composante f

Component. The vector component is a vector from a set of two or more vectors, usually perpendicular to each other, whose combined action is equal to the given vector.

If the vector OA of magnitude 5 forms an angle of 30° with the x-axis, then:

The component in the direction of the x-axis is the vector OP. Its magnitude is:

.5 cos 30°=4.33

The component in the direction of the y-axis is the vector OQ. Its magnitude is:

5 sin 30°=2.5

composite function
f function composée

Composite function.
The function 1(2+f : x >(3x) can be viewed as a composite of two simpler functions:

g:x-(3x + 1) and h:x - x²
h x(3x+1)(3x + 1)² f=hg

Note the notation: fhg means that a is equal to the function and
followed by h.

Any function that can be divided into two or more simpler functions in this way is called a composite function. For example:

If f:xsin24x, then f = par, where r:x>4x

p:x>x2 and
9:x>sinx and