أكاديميا - كولنز - معاجم الجيب العلمية - الرياضيات - انكليزي -فرنسي -عربي الحرف g

Academia - Collins - Pocket Scientific Dictionaries - Mathematics - English - French - Arabic Letter G

gallon
gallon m

Gallon is a measure of volume. One gallon contains 8 pints. A gallon is equal to about 4.5 liters litres .

geometric mean
moyenne ƒ géométrique

Geometric mean. The geometric mean of a set of n numbers is the nth root (nth) of the product of all the numbers. For example:

The geometric mean of 2.4.8 is 64 =

3/2×4×8

The geometric mean of 18.12.6.3.2 is
2 × 3 × 6 × 12 × 18 = 6

geometric progression
progression f géométrique

Geometric sequence. A geometric sequence is a sequence of numbers in which each term is a constant multiple of the previous term. This multiple is called a common ratio.

For example:

The common ratio of 162,54,18,6,2 is 3.

The common ratio of 2,4,8,16,32,64 is 1/2.

The common ratio of 1/4 - 41 - 64,16 is -4.

The sum of the terms of the geometric sequence a+ar+a2+...+a^-1 is calculated using the formula

(and a is the first term of the series and is the common ratio).

An infinite geometric sequence can be calculated if the common ratio ranges between -1 and +1.

geometry
geometrie f

Geometry. Geometry is a branch of mathematics that studies the properties of points, lines, planes, curves, shapes and solids.


glide reflection
reflexion f following a translation

Gliding reflection Geometric transformation of a plane composed of reflection and translation.

AA'BC is obtained from AABC by a glide reflection in an axis. In vector notation.

gradient
gradient m

Gradient. The gradient of a line is a measure of its slope.

The gradient here is 4/2=2. Lines that are inclined in this way have a positive slope.

The gradient here is 2/12 - =- 5/2 -. Lines that are inclined in this way have a negative gradient.

A tangent to the curve at point m

The gradient of a curve at a certain point is the gradient of the tangent drawn to the curve at that point.
The curve (y=f(x has a gradient (f(x .

gram
gramme m

gram . A unit of mass. A kilogram contains one thousand grams, and an ounce contains just over 28 grams. A cubic centimetre of water has a mass of one gram .

graph
graphique m

graph . A graphical representation of the relationship between different quantities. Coordinates and axes are often used.

great circle
grand circle m

Great circle. A great circle is a circle drawn on the surface of the Earth and has the same radius (radius) as the Earth. For example: the equator is a great circle, and all longitudes are parts of great circles.

If two points on the surface of the Earth are taken, the shortest distance between them along the surface is on the path of a great circle (see the figure above).

group
groupe m

A group that forms a set of numbers, letters, etc. A group in a binary operation operation * If the following four properties are satisfied:

a) If the set is closed in the operation * .
b) If the operation * is associative .

c) If there is a unique identity element . d) If each element of the set has a unique inverse .

For example: All 2×2 matrices whose determinants are different from zero form a group in the matrix multiplication operation.

The numbers 1, 5, 7, and 11 form a group in the multiplication operation of size 2 module .