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Def. Scalar function. A scalar function is a function that assigns a real number (i.e. a scalar) to a set of real variables. Its general form is
u = u(x1, x2, ... , xn)
where x1, x2, ... , xn are real numbers.
ORDef. Scalar point function. A scalar point function is a function that assigns a real number (i.e. a scalar) to each point of some region of space. If to each point (x, y, z) of a region R in space there is assigned a real number u = Φ(x, y, z), then Φ is called a scalar point function.Examples. 1. The temperature distribution within some body at a particular point in time. 2. The density distribution within some fluid at a particular point in time
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How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even?
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
What is the highest point on a graph in the domain of the function called?
mad
If f(1) 10 what is f(3)?
Not enough information. You can't deduce the function value at one point, from the function value at some other point, unless you know more about how the function is defined.
What is scalar gradient?
Scalar gradient is a mathematical concept representing the rate of change of a scalar field. It measures how much a scalar quantity such as temperature or pressure changes at a specific point in space. The gradient of a scalar field points in the direction of the steepest increase of that scalar quantity.
What does co-ordinated mean?
is the system for assigning an tuple of numbers on scalar to each point in an dimensional space
What does co-ordinator mean?
is the system for assigning an tuple of numbers on scalar to each point in an dimensional space
Which quantity of water in SI system scalar or vector?
If you mean the volume, that's a scalar. If you mean the mass, that's a scalar as well.
Why is the potential at a point a scalar quantity?
The potential at a point is a scalar quantity because it only has magnitude and no direction. It represents the amount of work needed to bring a unit positive charge from infinity to that point without specifying a path or direction.
What is scalar field?
In mathematics and physics, a scalar field associates a scalar value to every point in a space. The scalar may either be a mathematical number, or a physical quantity.
What does scalar quanity mean?
Scalar quantity is when you have a magnitude but no direction such as speed
The distance from point A to point B on a grid is scalar or vector?
VECTOR
What is scalar values?
Scalar values are single values, not arrays or objects, representing a single data point such as a number, string, or boolean. In programming, scalar values are not composite data structures and do not contain nested values. Examples of scalar values include integers, floating-point numbers, and characters.
What are the significance of gradient of scalar?
The gradient of a scalar field represents the direction and magnitude of the steepest increase of the scalar field. It is essential in determining the direction of maximum change in a scalar field, such as temperature or pressure. The gradient points in the direction of the fastest increase of the scalar field at a specific point.
Is a electric potential scalar or vector?
Electric potential is a scalar.
Electrostatic potential is a Scalar Quantity or Vector Quantity?
Electrostatic potential is a scalar quantity. It represents the potential energy per unit charge at a given point in an electric field.
