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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?
maximum value of a function along normal is called gradient. maximum rate of increase of s in magnitude and direction of the point a is called gradient of a scalar
Why is the potential at a point a scalar quantity?
Because the potential energy consumed or released when a charge is moved from any point to any other point (in an unchanging electric field) is independent of the path. Therefore the potential at any point is represented by a single number (of volts, if you like). If it's a single-number function of position, it's a scalar that has no direction. The gradient of the potential function on the other hand is a vector, the electric field.
What does co-ordinate mean?
is the system for assigning an tuple of numbers on scalar to each point in an dimensional space
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.
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 is gradient ratio?
what do you mean by gradient of a scalar field? what do you mean by gradient of a scalar field?
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 a velocity potential?
A velocity potential is a scalar function whose gradient is equal to the velocity of the fluid at that point. If a fluid is incompressible and has zero viscosity (an ideal fluid) its velocity as a function of position can always be described by a velocity potential. For a real fluid this is not generally possible.
What does a solid dot mean on a piecewise function represent?
It could represent a point whose coordinates do satisfy the requirements of the function.
