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Why are linear equations also called first-degree equation?
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
How do you know if an order pair is on the line of an equation?
Substitute the first of the ordered pair wherever x appears in the equation and the second value wherever you have y. Evaluate the equation. If it is true, then the point is on the line and if not, it is not.
What does the slope in your equation mean?
In a linear (first-order) equation, it is the ratio of the change in y of a segment to the change in x of the same segment. If the equation is in the form y = mx + b, m is the slope. In a higher-order equation, the instantaneous slope is the slope of the tangent line intersecting a particular point along the curve.
What is an Airy equation?
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
What does the math term order of operations mean?
Order of operation means that you go from the left of your equation to the right always doing multiplication and division first and then addition and subtraction
Derive dirac's equation in quantum mechanics?
I was considering writing out the answer, and maybe that would be "correct". However, I'm wondering if it may be better, especially as a beginning here, to instead, point the way for the questioner, and others to answer this for themselves.To this end I propose that anyone looking for the answer to how to derive Dirac's Equation (for spin 1/2 particles) may simply type "Dirac equation" in the appropriate Search/Research field, here. Near the top of the references will probably be one to Wikipedia. (So you could have gone straight to Wikipedia and searched for "Dirac equation".)Under the heading "Dirac's coup" you will find the motivating principle, and an outline of Dirac's own approach to deriving his equation. Above that, is additional motivation for the relationship with the Klein-Gordon equation.Now, it may be of interest to note that in a very real sense the Dirac equation can be seen to be related to an operator that is a "square root" of the Kein-Gordon operator (similarly related to the Klein-Gordon equation). The thing is, that within non-commutative algebraic systems (like matrices) there are often multiple "square roots" (if there exist any at all). (Consider, for instance, the many different "square roots" of positive definite real matrices.) So Dirac's operator is only one such "square root" of the Klein-Gordon operator.(My Ph.D. dissertation took a more general approach, and finds, for instance, that there are two component "square roots". So left- and right- handed particles are not required to be symmetric, as they are within Dirac's equation. Which is why neutrinos "require" a "projection" operator to be placed within Dirac's equation in order to account for their lack of such symmetry.)
What is a set of arrows that shows direction called?
A set of arrows that show direction is called a direction field. This is also known as a slope field and is a graphic representation of the solutions of a first-order differential equation.
Why are linear equations also called first-degree equation?
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
How do you know if an order pair is on the line of an equation?
Substitute the first of the ordered pair wherever x appears in the equation and the second value wherever you have y. Evaluate the equation. If it is true, then the point is on the line and if not, it is not.
In first order both x and y in chemistry?
what in 1st order?? if you are asking about 1st order chemical equation then there will be only one variable with power 1.
What does the slope in your equation mean?
In a linear (first-order) equation, it is the ratio of the change in y of a segment to the change in x of the same segment. If the equation is in the form y = mx + b, m is the slope. In a higher-order equation, the instantaneous slope is the slope of the tangent line intersecting a particular point along the curve.
What is an Airy equation?
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
How do you put together an equation?
By performing in reverse order the arithmetic inverse of the steps that you used to take it apart in the first place.
What does the math term order of operations mean?
Order of operation means that you go from the left of your equation to the right always doing multiplication and division first and then addition and subtraction
What number when substituded for the variable in an equation makes the equation true?
you have to solve the actual equation in order to answer this about your variable
What are pseudo-first order reactions and do they differ from first order reactions?
Pseudo-first order reactions appear to be first order but depend on the concentration of a reactant that is present in excess, leading to a rate equation that behaves as first order. This can occur when the concentration of another reactant remains relatively constant throughout the reaction. This differs from first order reactions, where the rate is directly proportional to the concentration of a single reactant.
Who discovered polynomial?
In the 1880s, Poincaré created functions which give the solution to the order polynomial equation to the order of the polynomial equation
