Ordinates of Zeros: Definition & Meaning

Thread starter jostpuur
Start date Feb 12, 2009

In summary, the ordinates of zeros are the y-values of points on a graph where the x-value is equal to zero. They are important because they represent the solutions to equations, provide information about the behavior and symmetry of a graph, and can help determine the roots or x-intercepts of a function. The ordinates of zeros can be found by setting the equation equal to zero and solving for the y-value or by plotting the points on a graph. Multiple ordinates of zeros can exist for a given equation or function. The difference between ordinates of zeros and abscissas of zeros is that the former refer to the y-values while the latter refer to the x-values of points on a graph where the y-value is equal to

Feb 12, 2009

jostpuur

What does "ordinate" mean? When read about the zeta function, I encounter comments about "ordinates of zeros".

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Feb 12, 2009

HallsofIvy

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The y- value of an (x, y) co-ordinate pair. The x-value is the abscissa.

What are the ordinates of zeros?

The ordinates of zeros refer to the y-values of points on a graph where the x-value is equal to zero. In other words, they are the points where the graph crosses or intersects with the y-axis.

Why are ordinates of zeros important?

The ordinates of zeros are important because they represent the solutions to equations and can help determine the roots or x-intercepts of a function. They also provide information about the behavior and symmetry of a graph.

How do you find the ordinates of zeros?

To find the ordinates of zeros, you can set the equation equal to zero and solve for the y-value. Alternatively, you can plot the points on a graph and identify where the graph crosses the y-axis.

Can there be more than one ordinate of zero?

Yes, there can be multiple ordinates of zeros for a given equation or function. This means that there can be multiple points where the graph crosses or intersects with the y-axis.

What is the difference between ordinates of zeros and abscissas of zeros?

The ordinates of zeros refer to the y-values of points on a graph where the x-value is equal to zero. On the other hand, the abscissas of zeros refer to the x-values of points on a graph where the y-value is equal to zero. In other words, they represent the solutions to equations for the y-axis and x-axis, respectively.