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What is one-to-many relation in mathematics?

It is a relationship where one input results in many outputs. A common example is square roots.the square root of 4 is -2 as well as +2. In fact, all positive numbers have two square roots: one negative and one positive. So that is an example of a one-to-many relation.Mathematically, such a relation is not a function. However, by restricting the codomain (range) to only non-negative (or only non-positive) values the relation can be made into a function.Similarly, the inverse functions for all six trigonometric ratios must have restricted codomains. Otherwise, because of their periodicity, each input has infinitely many outputs.For example, arctan[sqrt(3)] = pi/3 + k*pi = pi*(1/3+k) radians, where k is any integer.


What welding position has the highest heat input?

Heat rises so in my experience it is always overhead that has the most heat input.


What is the usual period for sine?

Periodic functions are those functions for which the value of the dependent variable repeats itself for certain values of the dependent variable.example:F(x)=yx is the dependent variable (output of the function)y is the independent variable (input of the function)F(x1)=y1F(x2)=y1As you can see the value of the function is the same for two different values of the dependent variable.The smallest difference between any two dependent variables giving the same value of the function is the period of the function.The periodicity of the usual sine function is 2pi. This is how it works:F(X)=sin(X)sin(x1)=ysin(x2)=sin(x1+2pi)=ysin(x3)=sin(x1+4pi)=yThe smallest difference between any two independent variables (x1 or x2 or x3) is 2pi.This is also evident from the general sine curve (graphical representation). The sine function has a fixed range from -1 to 1 (i.e.,for sin(x)=y, y can only lie between -1 and 1). So, the interval (difference in values of the independent variable) after which the nature of the wave repeats is it's period. Look at the graph and you'll see that the wave replicates after covering 2pi from the current point.


What is the difference between hydrograph and hyetograph?

A hydrograph and a hyetograph are both graphs that show changes over time, but they represent different types of data. Hydrograph A graph that shows the discharge of a stream or river at a specific point over time. Discharge is the rate of flow, usually measured in cubic meters or cubic feet per second (cms or cfs). Hydrographs can be used to make long-term flood risk forecasts. Hyetograph A graph that shows the amount of water input, such as precipitation or snowmelt, at a specific point over time. Hyetographs can also show rainfall intensity over time. Hyetographs can sometimes be shown on the secondary x- and y-axis of a hydrograph to compare the stream's response to the water input.


What is the algorithm for sine series?

Oh honey, buckle up because we're diving into some math! The algorithm for calculating the sine series involves summing up terms of the form (-1)^n * x^(2n+1) / (2n+1)! where n starts at 0 and goes to infinity. Just plug in your desired x value and keep adding terms until you're satisfied with the accuracy of your approximation. It's a wild ride, but hey, math is all about embracing the chaos!

Related Questions

What is the function which outputs an angle when a tangent value is input?

The inverse tangent, also called the arc-tangent.


How do you get a tangent of 1?

To find the tangent of 1, you can use the inverse tangent function (arctan) on a calculator. Simply input 1 into the arctan function and calculate the result. The tangent of 1 is approximately 0.7854.


What is an input table?

An input/output table works like this:You input something, and through a function, it outputs something else!Say I Had a function that is: input+2If I were to input 5, It would output 7All an input/output table does is displays a couple examples of multiple inputs with their outputs! Put tables only operate on one function....Example:Function: Input x 5 + 3INPUTS - OUTPUTS----------------------1 - 82 - 133 - 186 - 3310 - 53


Is a scanner input output or storage?

Definetly input.


How do you determine whether a table of input output data is a function?

If every input has an output. If two outputs are the same, they must have the same input.


What is A set of input and output values such that each input has one or more outputs?

It is a relationship from one set to another, which is not a function.


In a function can an input have more than one outputs?

No. If an input in a function had more than one output, that would be a mapping, but not a function.


How do we know that the input have one output or more in a function in math?

By definition. If one input has more than one outputs then it is not a function.


How can you tell if a relationship is a function?

U can see if there is and input that can go into two outputs if there is it's not a function if there is and imput that only goes in to one output it's is a function


How do you define function in Mathematics?

A function relationship between two or more variables, inputs and outputs, where each and every value input has a uniqueoutput.


How can function tables help you find input and output?

Function tables provide a structured way to display the relationship between inputs and outputs of a function. By listing input values alongside their corresponding output values, they allow for easy identification of patterns and trends. This visual representation helps in predicting outputs for new inputs and understanding how changes in inputs affect outputs. Overall, function tables simplify the process of analyzing and interpreting functions.


What are inputs and outputs with an example?

Activity/Function : Ceiling Fan. Input : Electric current. Output : Moving air.