Expressions-Writing
... algebraic expression for a given situation, using up to three variables. OBJECTIVE: Students will evaluate expressions by applying algebraic order of operations and the commutative, associative, and distributive properties and justify each step in the process by following and performing the correct ...
... algebraic expression for a given situation, using up to three variables. OBJECTIVE: Students will evaluate expressions by applying algebraic order of operations and the commutative, associative, and distributive properties and justify each step in the process by following and performing the correct ...
Pure Math 30 Transformations Review
... To test if something is a function, use the vertical line test. If the vertical line hits the graph at only one point, it is a function. To find the equation of an inverse algebraically, follow two steps: 1. Switch the x and y in the equation. 2. Solve for y. To restrict the domain so that an invers ...
... To test if something is a function, use the vertical line test. If the vertical line hits the graph at only one point, it is a function. To find the equation of an inverse algebraically, follow two steps: 1. Switch the x and y in the equation. 2. Solve for y. To restrict the domain so that an invers ...
ارتباط بین (P – گراف ) ها و ماتروئیدها و ابرگراف ها
... [12] Podlubny I. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. New York: ...
... [12] Podlubny I. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. New York: ...
Winding quotients and some variants of Fermat`s Last Theorem
... form of this conjecture given by Weil) can also be applied to other ternary equations analogous to Fermat’s equation. (See, for example, [12], [19], or sec. 4.3 of [27].) The idea of applying modular form techniques to equations (1), (2) and (3) appeared in [3] for equations (2) and (3), and then i ...
... form of this conjecture given by Weil) can also be applied to other ternary equations analogous to Fermat’s equation. (See, for example, [12], [19], or sec. 4.3 of [27].) The idea of applying modular form techniques to equations (1), (2) and (3) appeared in [3] for equations (2) and (3), and then i ...
Equation
In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.