What are the four Maxwell's equation?
Gauss's law: Electric charges produce an electric field. Gauss's law for magnetism: There are no magnetic monopoles. Faraday's law: Time-varying magnetic fields produce an electric field. Ampère's law: Steady currents and time-varying electric fields produce a magnetic field.
What do the letters mean in algebraic equations?
The letters in most algebraic equations mostly represent the value of the number or often at times the gradient.
In computational complexity theory, Cook's theorem, also known as the Cook–Levin theorem, states that the Boolean satisfiability problem is NP-complete. That is, any problem in NP can be reduced in polynomial time by a deterministic Turing machine to the problem of determining whether a Boolean formula is satisfiable.
What is integrating factor of linear differential equation?
What is integrating factor of linear differential equation? Ans: assume y = y(x) in the given linear ODE. Then, by an integrating factor of this ODE, we mean a function g(x) such that upon multiplying the ODE by g(x), it is transformed into an exact differential of the nform d[f(x)] = 0.
What are the limitations of laplace transform?
Laplace will only generate an exact answer if initial conditions are provided
What is impulsive system in differential equation?
A differential equation have a solution. It is continuous in the given region, but the solution of the impulsive differential equations have piecewise continuous.
The impulsive differential system have first order discontinuity. This type of problems have more applications in day today life. Impulses are arise more natural in evolution system.
What are the disadvantages of cubic spline interpolation?
Derviative of function is also important.So it does not guarantee a desired curve,which might have bumps.
What is an example of constant rate of change?
A constant rate of change is anything that increases or decreases by the same amount for every trial. Therefore an example could be driving down the highway at a speed of exactly 60 MPH. If your speed doesn't change you are driving at a constant rate. Here's another: your cell phone company charges you $0.55 for every minute you use. The rate that you are charged always stays the same so it is a constant rate of change. Anything that goes up by X number of units for every Y value every time is a constant rate of change.
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What is impulsive differential equation?
Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.
What are the physical significance of Maxwell's equations?
As per my knowledge,Maxwell's equations describes the relations between changing electric and magnetic fields. That means time varying electric field can be produced by time varying magnetic field and time varying magnetic field can be produced by time varying electric field.
What is the rules in multiplying polynomials?
If there is subtracting terms in either polynomial, change them to adding a negative. Each term in the first polynomial is multiplied by each term in the 2nd polynomial, then add all the resulting terms together (taking into account the signs of the resulting multiplications), simplify by combining like powers of the variable.
This is basically what you are doing when you multiply 2 numbers by hand, example: 997 x 42 = 41874
997
x 42
----- First you mutiply 2 x 7 = 14, put the 4 carry the 1, etc.
Imagine instead (4x + 2)(9x2 + 9x + 7) = 2*7 + 2*9*x + 2*9*x2 + (4*x)*7 + (4*x)*(9*x) + (4*x)*(9x2) = 14 + 46x + 54x2 + 36x3
For x = 10 --> 14 +460 + 5400 + 36000 = 41874.
How do you calculate quantity?
It depends on what is being calculated? Basically, a collection of something is counted as 1, 2, 3, and so on, to give a total. A simple instance is in counting loose two pence (UK) coins: piles of two pence coins are stacked in tens, then the piles are counted as 10, 20, 30, and so on. Or if there are 34 piles of 10 coins, then 34 x 10 = 340 pence (£3.40).
Application of differential equation in chemistry?
The rate at which a chemical process occurs is usually best described as a differential equation.
Why are there fifty-two cards in a normal pack-?
The reason why there are fifty-two cards in a normal pack is because there are 4 suits with 13 cards in each suit.
An irreducible equation is an irreducible polynomial which is equal to zero. A polynomial is irreducible over a particular type of number if it cannot be factorised into the products of two or more lower degree polynomials with coefficients of that type of number. For example, the equation x2 + 1 =
0 is irreducible over the real numbers; there are no lower order polynomials, containing only real coefficients, which could be multiplied together to give this equation.
Why is finding mean median and mode necessary?
They help to analyse data samples and therefore compare statistics. Normally all three methods are used as they all contain weaknesses. However the mean is usually the normal statistic used after anomalous results have been removed