أكاديميا - كولنز - معاجم الجيب العلمية - الرياضيات - انكليزي -فرنسي -عربي الحرف ٩_ s

Academia - Collins - Scientific Pocket Dictionaries - Mathematics - English - French - Arabic Letter 9_ S

square
carré m

Square. Squaring. 1 - A square is a quadrilateral shape with four equal sides and each of its interior angles is equal to 90°.

The square is symmetrical about its diagonals and perpendicular bisectors, which all converge at a single point.

The square has rotational symmetry of order 4.

2 - Squaring a quantity is multiplying the quantity by itself. For example: 5 squared (written as 52)

5×5 =
25.

3 - Centimetre square (cm2), metre square (m2), and kilometre square (km2) are units used to measure area.

A surface with an area of ​​5 cm2 has the same area as five squares with sides of 1 cm each.

square root
racine f carrée

Square root. The number x is the square root of the number y
and (x=/y) if y is squared ( x ( y= x2 .

9 is the square root of 81 (written 81/ )
since 9×9 =
81

And positive real numbers have two square roots. For example: the square roots of 6.25 are 6.25-2.5 and -2.5-=6.25 .

standard deviation
écart m type

Standard deviation. A common measure of how spread out individual items of data are from the mean of a set of items. For example: the heights of ten small plants are in centimeters:

6.3,5.9,5.2,7.1,6.6,6.8,7.4,5.3,5.8,5.6

The mean height here is 6.2=62/10 cm. The deviations of each of the individual heights from the mean are:
+0.1,-0.3,-1.0,+0.9,+0.4,+0.6,+1.2,-0.9,-0.4, -0.6

And the squares of these deviations are: 0.01,0.09,1.0,0.81,0.16,0.36,1.44,0.81,0.16,0.36
The average of the squares of these deviations is the variance

5.2/10 = 0.52.

The square root of this average is 0.72.

This quantity, the square root of the average of the squares of the deviations from the mean, is called the standard deviation.

The formula for calculating the standard deviation is:
For n items of data .....x1.x2 with a mean of x.

standard index form
forme f exponentielle

Standard index notation. A common way of expressing numbers in the fields of science and engineering. Positive numbers are written in the form:

Ax10n

Where 10 > A > 1 and n is an integer.
For example:
734.6=7.346×102
0.0063 = -6.3×10-3

This notation is particularly useful when dealing with very large or very small numbers.

stationary point
point m de repos

fixed point. A function (y=f(x) has a fixed point at (a.b) if the derivative f(x) is zero at x=a, i.e. if f(a)=0.

The gradient of the function's graph is zero at a fixed point, and the tangent is parallel to the x-axis. Three types can be distinguished:

Maximum points
Minimum points
Fixed inflections

statistics
statistics f

Statistics. The study of methods for analyzing large amounts of
data.

This term also describes measurements of different properties of sets of data such as means, deviations, etc.