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Academia - Collins - Pocket Scientific Dictionaries - Mathematics - English - French - Arabic Letter 1_ D

data
données fpl

Data. Data. Numerical information, mostly collected for statistical purposes.

decagon
décagône m

Decagon. A ten-sided polygon.

decimal
décimal

Decimal. A general term applied to the system that represents integers and fractions in base ten. A decimal fraction is a fraction whose denominator is a power of ten,
such as: . 3/10 and 7/100 and 38/1000 ... etc.

The base 10 place value system for integers in the decimal system is extended to include the representation of decimal fractions.

The decimal point is used to specify place values ​​as shown above.

All rational numbers can be represented in decimal form by a terminating or recurring sequence of decimal digits.

Irrational numbers can be represented approximately in decimal form by rounding off to a predetermined number of decimal places.
For example:
1.41 = 2 rounded off to 2 decimal places
1.41 = 2 rounded off to 4 decimal places
Rounded off to 3 decimal places π = 3.142

degree
degré m

Degree. 1 - A unit for measuring angles, and a full cycle consists of 360 degrees (written (360°).

A straight angle (flat) contains 180°.

A right angle contains 90°

2 - The degree of the polynomial or the equation with one variable is the highest power to which the unknown is raised.
The equation: 7X5-5X3+19X2-3
is of the fifth degree with respect to X.

As for the expression composed of several variables, such as: 8x3y2z4

It is said to be of the ninth degree (the sum of the bases of x, y, and Z), but it is of the second degree with respect to y.

denominator
dénominateur m

Declaration (denominator). The lower number in a fraction. For example: the denominator (denominator) of 3/4 is 4.

depression
dépression f

Depression. The angle of depression of the body that the observer looks at from above is the angle between The line that connects the body to the observer and the horizontal plane.

The angle of depression in the figure above, between the lighthouse and the ship is 20°.

derivative
dérivée f

derivative. If f(x) = y is a function of the variable X, then the derivative (f(x = at x=a is the rate of change of the function with respect to x at a. It can be found by differentiation.

The derivative is often interpreted as the slope of the graph of (y = f(x at x=a.

The derivative of f(x) = y is usually written as dy/dx or (f(x . If f(x)=x3 then (3X2 =f(x , so the rate of change of X3 at x=4
is 3x42=48 .

determinant
determinant m

determinant. The determinant of a square matrix M is a number associated with that matrix. For a 2×2 matrix ab/cd | = M | it is written: | ab/cd | or M Det and is equal to ad-bc .

The determinants of larger matrices can be evaluated in a similar way.

The theory of determinants is especially important in using matrices in place of linear equations and linear transformations.