So, before we start new topic of numerical integration, we are going to solve some problems. I will be giving you solutions, but maybe you can find some alternate solutions, which may be even better. Look at the problem that in the interval a b, we have got n plus 1 distinct points. Look at the Lagrange polynomial, which is based on these n plus 1 points. So, the Lagrange polynomial has the property that l i at x j is equal to 1, if i is equal to j and 0, if i not equal to j. We want to show that summation i goes from 0 to n l i x is equal to 1. Since the Lagrange polynomial, they are not defined recursively, induction may not be a good idea. In order to prove this, we are going to use the property that if the function f is a polynomial of degree m, which is less than or equal to n, then when we try to fit a polynomial of degree n or bigger than or equal to n, then the interpolating polynomial is going to be function itself. Here, the interpolating polynomial we know that it is given by p n x is equal to summation f x i l i x i goes from 0 to n. We are interested in showing that summation i goes from 0 to n, l i x is equal to 1. So, the coefficients of l i x should be equal to 1. So, the simplest choice is look at f x is equal to 1. For f x is equal to 1, it is a constant polynomial. So, when you look at p n to be a polynomial of degree less than or equal to n, which interpolates the constant function. So, we have to find the function, then that is going to be the function itself. So, that is the idea. So, choose f x is equal to 1 for x belonging to a b and p n be the interpolating polynomial of degree less than or equal to n such that p n x j is equal to f x j. p n x general form is summation i goes from 0 to n f x i l i x. p n x is going to be equal to 1, function is f x is equal to 1. So, f x i will be equal to 1 and hence we get summation i goes from 0 to n l i x is equal to 1. If instead of f x is equal to 1, we look at f x is equal to x. In that case, for n bigger than or equal to 1, p n will be equal to function itself and that gives us a relation summation x i l i x i goes from 0 to n is going to be equal to x. In a similar fashion, for n bigger than or equal to 2, summation x i square l i x i goes from 0 to n will be x square and so on. Now, look at the second problem. So, we are looking at f x is equal to 1 by x, x in the interval 1 to 2. Then, we want to prove this expression that the divided difference f of x 0 x 1 x n is given by minus 1 raise to n divided by x 0 x 1 x i. In this problem, the induction is going to work. We will be using the recurrence formula for the divided differences. So, for n is equal to 0, when we quickly see that the result is true, assume the result to be true for n is equal to m minus 1 and then using the recurrence formula for the divided differences, one proves the result to be for n is equal to m. So, look at the recurrence relation f of x 0 x 1 x n to be given by the divided difference based on x 1 x 2 x n minus divided difference based on x 0 x n minus 1 and then whole thing divided by x n minus x 0. We are assuming that x 0 x 1 x n these are all distinct points. When you put n is equal to 0, on the left hand side you have got f x 0 and on the right hand side you have got 1 upon x 0 and hence the result is true for n is equal to 0. Now, assume the result for n is equal to m minus 1. Consider divided difference f based on x 0 x 1 x m. We have got this recurrence relation.  Now, when you simplify then you are going to get in the numerator x 0 minus x m in the denominator you have x m minus x 0 and then multiplied by x 0 x 1 x m.  So, for some functions we can have the divided difference to be given explicitly. Our next problem is you are given a polynomial of degree 4 and you are asked to find two divided differences. One is based on five points and another is based on six points. So, what one can do is construct the two points and construct the divided difference table. You are given the function. So, construct the divided difference table and then find the divided differences, but here one can observe that f is a polynomial of degree 4. We are looking at divided difference based on five points. Our definition of divided difference is look at the individual difference interpolating polynomial which interpolates these five points and look at the coefficient of x raise to 4 in that polynomial. Our function is a polynomial of degree 4. So, interpolating polynomial of degree 4 is going to be the function itself and hence coefficient of x raise to n x raise to 4 in our function that will be the divided difference based on five points. If we look at the six points then we have to look at polynomial of degree 5 which interpolates the given function at those six points. The function is a polynomial of degree 4. So, a polynomial of degree less than or equal to 5 that is going to be the function itself. So, treat our function which is a polynomial of degree 4 as a polynomial of degree 5. That means you add plus 0 into x raise to 5 and now you have to look at the coefficient of x raise to 5 which is going to be 0. Now, the same result one can obtain by using the fact that our function f is sufficiently differentiable then when you look at the divided difference based on five points it is equal to f 4 of c divided by c factorial divided by it should be 4 factorial not c factorial. Then the function is a polynomial of degree 4 and hence when you take the fourth derivative it is going to be constant and that will be nothing but 279. If when you look at the fifth derivative that is going to be 0 and hence the divided difference is equal to 0. So, you can either use the definition or you can use the formula in terms of the derivative. If you try to write down the divided difference you are going to get the same result, but the computations they are going to be missing. So, so far we had obtained upper bounds. Now, let us look at an example where f x is equal to ln x and look at a cubic polynomial of degree less than or equal to 3 interpolating at four points and we want to find a lower bound. So, we have got f x minus p n x and this is equal to f of x 0 x 1 x n x and then multiplied by x minus x 0 x minus x n. So, this we denote by w x. We are looking at f x minus p 3 x. So, that will be f of x 0 x 1 x 2 x 3 x multiplied by w x and this will be f 4 of c x divided by 4 factorial w x. Our function is f x is equal to ln x. x belonging to f x is equal to f of x minus x minus x minus x is equal to 1 by 2. So, we will calculate the fourth derivative of this ln x and now because we want to consider the lower bound for the derivative f 4 c x we will look at the least value and for the w x we are going to x 0 x 1 x 2 x 3 these are given to us. We are going to substitute x to be equal to 3 by 2 and then we are going to get a lower bound. Throughout so far we had always considered upper bound. So, I wanted to show that one can also consider a lower bound. So, that tells us that there is going to be at least this much of error. So, now the computations are straight forward.  So, that is f 4 at c x divided by 4 factorial into w x. Then you can verify that the fourth derivative at x will be given by minus 6 by x raise to 4 and we have to look at the least value of this. So, the least value will be obtained when x is equal to 2. So, the least value for f 4 x is going to be 6 upon 2 raise to 4. So, that is going to be 6 upon 16 and then you calculate the value of w of 3 by 2 and that gives you the lower bound for x is equal to 3 by 2. So, we have modulus of f of 3 by 2 minus p 3 of 3 by 2 is going to be bigger than or equal to 1 upon 384. So, it is a lower bound. So, now consider we are again going to consider interpolating polynomial, but now our polynomial is going to interpolate the function and the derivative values. So, suppose our function has a double 0 at some point x 0. So, we have got f x 0 is equal to f dash x 0 is equal to 0 and at some other distinct point x 1. We have got f x 1 is equal to f dash x 1 is equal to f double dash x 1 to be equal to 0. Now, what we want to do is we want to fit a polynomial of degree less than or equal to 5, which is going to interpolate the function value derivative value at x 0, function value derivative value and second derivative value at x 1 and we want a polynomial of degree less than or equal to 5. So, we need one more condition. So, let x 2 be another point which is distinct from x 0 and x 1 and it should interpolate the function at this point. Then we want to find such a polynomial. So, our interpolation points are x 0 is repeated twice, x 1 is repeated twice and x 2 is repeated once. So, the usual way of constructing such a polynomial is you form the divided difference table. Once you have formed the divided difference table, then you look at the value f x 0, then f of x 0, x 1 divided difference and so on and then that is the Newton form, that is how we construct the polynomial. But here, we can give a different proof. Our function, our polynomial it is going to match with the function value and the derivative value at x 0 and the function value and the derivative value both of them they are 0. That means, the polynomial p 5 is going to have a factor x minus x 0 square, it is a double you factorize. Similarly, you look at the point x 1, our polynomial should be such that it vanishes at x 1, it vanishes its derivative vanishes at x 1 and second derivative vanishes at x 1. That means, in our polynomial there should be a factor x minus x 1 cube. So, now look at the polynomial, we have got a factor x minus x 0 square, x minus x 1 cube and it is a polynomial of degree less than or equal to 5. So, now what will be, there will be a coefficient that has to be constant and we are going to determine that constant. So, we can as I said either form divided difference table or you look at the fact that p 5 it has got a double 0 at x 0, triple 0 at x 1. So, we have got look at the factors x minus x 0 square x minus x 1 cube, since it is a polynomial of degree less than or equal to 5, you have to multiply only by a constant. Otherwise, if it was a higher degree polynomial here it would have been a function of x and hence you get this polynomial form. Now, we have to determine alpha. So far we have not used the fact that our polynomial is going to interpolate the given function at x 2 also. So, we have got f x 2 is equal to p 5 x 2 is equal to alpha times put x is equal to x 2. So, x 2 minus x 0 square x 2 minus x 1 cube and that will give you alpha to be equal to f x 2 divided by x 2 minus x 0 square and x 2 minus x 1 cube. It will be a good exercise to try to complete the divided difference table get the various divided differences which are going to come into picture for the p 5 x and see that you are going to get the same result. Now, we will consider one more example or one more problem and then we will go to the next topic of numerical integration. Now, it is a simple example. We are going to look at f x is equal to x square a simple function and then look at the interval n to n plus 1. So, n is a integer or a natural number and what we want to do is we want to find an upper bound. Now, when we consider interpolating polynomials and then we know that the error is in terms of the appropriate derivative of the function evaluated at a point. Now, that point is not known, but look at function f x is equal to x square. We are looking at linear polynomial. So, in the error the second derivative comes into picture and the second derivative for x square it is going to be constant. So, using that fact one just calculates what is an upper bound. So, we have norm of f minus p 1 infinity this will be less than or equal to norm f double dash infinity divided by 8 and then you have got this will be equal to 1 by 4 because we have when we look at norm of f minus p 1 infinity norm to be less than or equal to it is norm f double dash infinity divided by 8 into b minus a square. Our a is capital N b is n plus 1. So, b minus a is equal to 1. So, that is why norm f minus p 1 infinity norm is less than or equal to norm f double dash infinity by 8 and f double dash being equal to 2 it will be 2 by 8 which will be equal to 1 by 4. So, on any interval n to n plus 1 this is going to be the bound. Now, I want to write the first derivative recall what forms of the polynomials we have considered. So, we have power form which is a 0 plus a 1 x plus a n x raise to n. We have got Lagrange form which involves Lagrange polynomials and we have got Newton form. Then we had this error.  Suppose our points are all identical, then we have proved that f of x 0 x 1 x n in this case we define it to be equal to f n x 0 divided by n factorial. So, thus our this result becomes f x is equal to f x 0 plus f dash x 0 into x minus x 0 plus f double dash x 0 by 2 x minus x 0 square plus f double dash x 0 plus f double f of f n x 0 divided by n factorial x minus x 0 raise to n plus this divided difference is equal to f n plus 1 c x divided by n plus 1 factorial. So, it will be f n plus 1 c x divided by n plus 1 factorial multiplied by x minus x 0 raise to n plus 1. Now, you are familiar with this, this is nothing but Taylor's theorem. So, this is an observation. So, now we are going to start the new topic of numerical integration. Suppose your function f is n divided by n plus 1 c x defined on interval a b and it is continuous. In that case one defines the Riemann integration. For that what one does is looks at the Riemann sum, upper Riemann sum, lower Riemann sum and in terms of those one defines the integral. For a continuous function, we can show that take the interval a b, subdivide it into equal parts, form the Riemann sum by taking any. So, what you have to do is in each interval you look at value, take a point any point and then you look at summation f at c i multiplied by length of the interval. So, the length of the interval will be h, sum it over, take its limit as n tends to infinity and that is going to be our value of integral a to b f x d. So, we have this for a continuous function limit n tending to infinity summation i goes from 0 to n minus 1 h times f of t i. I had told you that you can take any point in the interval t i to t i plus 1. So, let us choose it to be end point t i, form this sum and then take its limit as n tends to infinity our h is b minus a by n. So, what you are doing is you are looking at average and then you are multiplying by b minus a and then you get the limiting value is equal to integral a to b f x d x. So, using this definition one proves many important results and in numerical analysis.  So, if you are given a continuous function and you are asked tell me what is value of integral a to b f x d x, if not exact value may be some approximate value then you are not going to look at this Riemann sum, take limit as n tends to infinity. So, this is not how one finds the value of the integral. So, then there is a class of functions for which one know how to integrate. So, if you know antiderivative of your function that means I want to find integral a to b f x d x. So, suppose I know another function capital F such that capital F its derivative is going to be my function f. If I do that if I know that then we have got integral a to b f x d x is capital F b minus capital F a. In fact, that is how one calculates the integration that you know integration and differentiation these are opposite process. So, there are some functions for which you can calculate antiderivative. So, one big class is the polynomial functions. So, for polynomial functions we know their antiderivatives. There are also trigonometric functions we know sine x cos x how to integrate exponential x. So, there are there is some class of problems or class of functions rather one can calculate the integral a to b f x d f. So, our idea is that our function we know how to approximate it by polynomials. So, consider approximation of function f by a interpolating polynomial. Integrate that polynomial whatever value you get that you are you will be able to do even using computer. In fact, when we started the polynomial approximation that is what we said that the polynomials they are nice functions you can find the derivative using computer you can find the integral using the computer. So, you calculate the value of the integral and then you are going to get an approximate value of the integration. So, in order to have sufficient accuracy you have to choose n big enough, but we have seen that if your function is only given to be continuous then we do not have a sequence of interpolating polynomials which is going to converge to our function f. So, then that is where now we went to piecewise polynomial approximation. So, why not look at piecewise polynomial approximation? So, on each interval or on each sub interval I will have a polynomial I will integrate that I will add it up and then I will get value of the function. So, that is how one is going to do when you consider a single polynomial then you are going to get basic rule when you are going to look at piecewise polynomials you are going to get what are known as composite rules. So, we are going to consider some of the standard rules which are used in practice.  So, now let us look at the interpolating polynomial.  So, p n x is going to be summation f x i l i x i goes from 0 to n where l i is a polynomial of degree n. So, integral a to b p n x d x will be equal to summation i goes from 0 to n f x i integral a to b l i x d x. So, this is going to give us some real number w i. So, you have summation i goes from 0 to n w i f x i note that here there is no dependence on the function. So, this we will do once for all and then we get a formula for integral a to b p n x d x in terms of these w i's and the function values x i. Now, look at the error. So, here we know the error in the interpolating polynomial. So, we have f x is equal to p n x plus a error term. The error term is a function of x. So, you integrate. So, we are going to have integral a to b f x d x is equal to integral a to b p n x d x plus integration of the error. Now, for the error we will be looking at the error and we will be calculating only an upper bound. So, we have modulus of integral a to b f x d x minus integral a to b p n x d x modulus. So, this is exact integral. This will be of the form summation w i f x i i goes from 0 to n. This will be less than or equal to modulus of integral a to b f of x 0 x 1 x n x w x d x, where x i is equal to a to b f of x 0 x 1 w x is x minus x 0 x minus x n. So, this will be less than or equal to norm of f n plus 1 infinity divided by n plus 1 factorial and then we have got b minus a raise to n plus 1 and into b minus a. So, norm of f n plus 1 infinity is coming from this factor. This I am going to dominate by this. So, it will come out of the integration sign. Modulus of w x will be less than or equal to b minus a raise to n plus 1. So, that also will come out of the integration sign and then you will have integral a to b of 1 or a to b d x that is going to give me b minus a. Now, this error which we have obtained, it has got n plus 1 derivative of the function its norm divided by n plus 1 factorial and then we have got b minus a raise to n plus 2. Now, here what has happened is the x 0 x 1 x n they sort of we have lost. We have used crude approximation that x 0 x 1 x n they all lie in the interval a b. So, if our x is varying over the interval a b x minus x j also will vary over the interval a b. Now, the choice of interpolation points that is important. So, we do not want to lose them. So, what will be a better estimate is that w x is a polynomial it is x minus x 0 x minus x 1 x minus x n we can integrate it. So, that integration value that will retain the information about x 0 x 1 x n, but then w x in the error w x is multiplied by n plus 1 derivative of the function divided by n plus 1 factorial. So, I cannot just take it out and integrate. So, for that purpose in order to get a finer bound we are going to prove what is known as mean value theorem for integrals. Also, there will be cases when our if the points are such that for example, suppose you are looking at one point integral and that one point is the midpoint. Then integral a to b x minus x 0 dx that is going to be 0 and using that property one will get a higher order of convergence or a better order of convergence for the corresponding composite rule. So, that is why we do not want to be satisfied with this upper bound it is an upper bound, but we want to have some better upper bound and for that we prove mean value theorem for integrals. So, what it tells us is that suppose you are integrating two functions or you are looking at the product of two functions f x into g x over the interval a b. Our function f suppose it is continuous the other function g what we want is it should be integrable. Continuous functions they are integrable if your function has finite number of discontinuities then also it is integrable. So, our g x should be a integrable function Riemann integration I am always talking about Riemann integration and it should be either bigger than or equal to 0 or less than or equal to 0 throughout the interval. So, one function should be continuous other function should be either bigger than or equal to 0 or less than or equal to 0. If that happens then integral a to b f x into g x dx will be equal to value of f at some point c into integral a to b g x dx. So, remember our error in the integration it was consisting of two parts one was the divided difference based on x 0, x 1, x n, x and we have proved continuity of this function the other term was w x that is x minus x 0, x minus x 1, x minus x n. So, depending on the choice of x 0, x 1, x n it can happen that w x is also is a bigger than or equal to 0 or less than or equal to 0. Look at the linear polynomial which interpolates at the two end points in that case our w x is going to be x minus a into x minus b our x varies over the interval a to b. So, x minus a will be bigger than or equal to 0 x minus b will be less than or equal to 0. So, their product will be less than or equal to 0. So, now if I can take out the divided difference outside the integration by evaluating it at a point then I will have integral a to b w x dx and that value we can calculate. So, let us prove this mean value theorem for integrals. So, we have f is a map from a b to r which is continuous and g is an integrable function such that either g x bigger than or equal to 0 or g x less than or equal to 0. Then there exists a point c in the interval a b such that integral a to b f x g x dx is equal to f of c into integral a to b g x dx. So, this is the theorem we are going to prove now. The proof of this theorem it is going to be based on property of continuous function. Our function f is defined on interval a b closed interval closed and bounded interval a b is defined as f of c into integral a to b and x real values then such a function is going to be bounded. It is going to attain its infimum and supremum. So, supremum is nothing but least upper bound amongst the upper bounds the one which is the smallest. When it attains its upper bound then that is known as maximum and similarly it is going to attain its minimum that is greatest lower bound among the lower bounds whichever is the biggest.  So, small m will be less than or equal to f x less than or equal to capital M and then we have intermediate value property that between this small m and capital M our function is going to assume each value. So, this is a crucial property which we are going to use in the proof of this theorem. So, what let me rephrase the property this continuous functions our function f is defined on interval it will be interval a b it will be its range will be small m to capital M. So, it is going to be onto function and any point in the interval small m to capital M that point that is going to be attained. So, our we want to show that integral a to b f x g x d x is equal to f of c into integral a to b g x d a. So, if integral a to b g x d x is not 0 we divide. So, we look at integral a to b f x g x d x divided by f x g x d x divided by integral a to b g x d x and show that it lies between small m and capital M. So, now for the sake of definiteness we will assume g x to be bigger than or equal to 0. If it is less than or equal to 0 some inequality is they will change, but the proof is very much similar. So, let us assume that g x is bigger than or equal to 0 and let small m and capital M denote the absolute minimum and absolute maximum of function f. So, we have m less than or equal to f x less than or equal to capital M g x is bigger than or equal to 0. So, m into g x is less than or equal to f x into g x less than or equal to capital M into g x. Now, you integrate using the property of integration we will have the inequality signs will be preserved and then small m and capital M they do not depend on x. So, they come out of the integration sign and we have small m into integral a to b g x d x less than or equal to integral a to b f x g x d x less than or equal to capital M into integral a to b g x d x. Now, our g we are assuming it to be bigger than or equal to 0 and integrable. So, g need not be continuous. So, integral a to b g x d x it can be equal to 0 even when g x is not identically 0. If g x is identically 0 then of course, integral a to b g x d x is not identically 0. But, because g need not be continuous it can happen that integral a to b g x d x is equal to 0 when g x is not identically 0. Like look at function g x which is equal to 0 if x is not equal to a plus b by 2 and is equal to 1. If x is not equal to a plus b by 2 then x is equal to a plus b by 2. So, g x is not identically 0 and integral a to b g x d x is equal to 0. So, we have small m into integral a to b g x d x this inequality we will look at two cases once when integral a to b g x d x is equal to 0 and other when it is not equal to 0. If this is equal to 0 then we have got 0 here 0 here which will mean integral a to b f x g x d x is equal to 0. So, you can choose c to be any point. The second case will be integral a to b g x d x is strictly bigger than 0. In that case I divide by integral a to b g x d x then the quotient is lying between small m to capital m. So, it has to be equal to f of c. So, that is by the intermediate value theorem and this will mean that integral a to b f x g x d x is equal to f of c multiplied by integral a to b g x d x is equal to f of c multiplied by integral a to b g x d x is equal to f of g x d x that is the mean value theorem for integral and this mean value theorem for integrals we are going to use for calculating the error bounds in various rules. So, now what we are going to do in the next lecture is we will first consider some basic rules which are coming from what are known as Newton codes formula. So, look at the interval a b, subdivide it into equal parts, fit an interpolating polynomial, integrate it and then we give you get a numerical quadrature rule. You are familiar with these rules such as if you choose a constant polynomial and choose the interpolating point to be the end point then what you get is what is known as rectangle rule. If you take the midpoint and consider the constant polynomial what you get is a midpoint rule then if you consider polynomial of degree less than or equal to 1 choose two end points of the interval as your interpolating point you get trapezoidal rule. Then you have got Simpson rule in which case your interpolating points are three points a, b and midpoint a plus b by 2 you are fitting a parabola and then you are integrating. So, that gives you Simpson's rule and then we are going to look at the error in all these formulae. Then from these we go to the composite rules. So, these will be the basic rules then we go to composite rules where each of these basic rule instead of applying them on the whole of interval a b we will apply them on the sub interval that and then the Gaussian rules. So, this thing we will continue next time. Thank you.


from Orlando, Florida, it's theCUBE. Covering ServiceNow, Knowledge 17, brought to you by ServiceNow. We're back. I'm Dave Vellante, this is Jeff Frick. Rajay Ranganathan is here, he's the Vice President of Cloud Services at Cognizant Technology Solutions. Welcome to theCUBE. Thank you, Dave. So, tell us about Cognizant and what you're doing to sort of support your client's digital transformation, so let's start there. Yeah, so Cognizant is a leading digital technology outsourcing provider. We help our clients to lead the digital, okay? So basically customers are going through disruption, the digital disruption, and everybody is going through the digital transformation. So we help our clients to navigate the digital shift. So how we do that is via three pillars, right? We have, imagine a front office, middle office, and the back office. Front office is digital business. Our digital business unit helps our customers to innovate new products and solutions, using data as a new oil, new air, whatever you want to call it as. Then the middle office, that is where getting into the enterprise where touching the business processes. How do we create platforms to simplify and modernize those processes? And how do we create business process as a service? That's what we call it as a middle office. That's our digital operations pillar. The third one is how do I modernize the legacy technologies into the latest tuning towards digital, thereby providing agile and extensible things like that? So that's our digital systems and technology. So we address these three core pillars and the underlying platform for everything is cloud. That's where we see products like such as ServiceNow plays a very critical role towards fulfilling our customer's value. So what's your strategy with respect to service now and the partnership? If you look at our partnership, back in 2008, this is a small history to that. See, we address the 14,000 enterprises. At the time, the BMC and the HP, those were all prevailing. It was pervasive with those days. Then we started hearing from the customers, hey, do you guys know a company called ServiceNow? That is where I think, hey, everybody's talking ServiceNow. So what is it all about? That is where we started our journey back in 2008. At that time, we put together, we took some, you know, the BMC and the HP guys, we reskilled them, trained them on ServiceNow, right? Started with about 10 people practice. Today we are 700-plus people practice spread across four delivery centers. And the beauty is, out of the 700, 600 and 75-plus are certified in ServiceNow. So that is what the value people see, that the certification skill set, the implementation, you know, the knowledge that we take into the customer, they see that as a value. And then how are you seeing the implementations evolve inside the customers? Once you go in and do an initial project, how is it evolving? Can we keep you involved in all these different application stacks and kind of service areas? What are you seeing in the field?  Everyone starts with the basic thing, ITSL, you know, IT service management module. But because of the digital shift, they are going beyond the ITSL. So how, they want to move from systems of records to systems of intelligence. Now we are going one level above, how do we create a systems of action with ServiceNow workflows and automation and things like that? So today if you look at ITSM, yes, it's becoming commodity. That is where I think ServiceNow has really helped us, but customers want to use the power of the platform. How do I add customer service on top of it? How do I create, you know, HR module and finance module and legal and facilities and use the power of platform? So this is how we see the implementation approach. They start with ITSM and then go through, you know, module by module. But there are some customers where they say, hey, you know what? I have so many tools in the ecosystem. But I want ServiceNow to be the fulcrum or manager of managers. So that is where we use the ServiceNow platform to integrate, ServiceNow has got a lot of API integration, you know, mechanics. We use the integration, API integration methodology and then integrate various tools into it. Provide a common single pane window. Is this allowing your customers to gain a competitive advantage or is it, is it cutting costs for them? I mean, what is your customers for the business case and the business value? Is there differentiation that's inherent? Yeah, so traditional ITSM, I mean, if you take the legacy tools that used to exist compared to a ServiceNow based ITSM, we have seen customers, we don't reduce in call volumes by 30%. Okay, that's an average. Incident reduction, call reduction, et cetera. However, we are in the AI era. AI, artificial intelligence, you know, we have moved from mobile first to artificial intelligence first. Artificial intelligence is no longer in the labs. It is on the street. Customers are looking for how do we, you know, use artificial intelligence and machine learning to increase the service levels. So that is why we call it as modernizing ITSM. That's what even ServiceNow says that one of the customer conversations. In the modernization ITSM, how do you bring the artificial intelligence and machine learning, your 30% can go up to 40 to 50%, right? And in the process, with conversational analytics, it makes, you know, gain a superior end user experience. And how does Cognizant differentiate in the marketplace? That's a great question. The key thing is the people. I would say I would start with the people because any new technology, okay, whatever, you know, the robots are there. You need the human intellectual capital to implement that. So that is where we realized this problem earlier and we started investing on the people. So we have something called a ServiceNow Academy where we constantly recruit people and re-skill our own people to meet the needs of the ServiceNow. So the ServiceNow Academy, that is where constantly produces, you know, people. Number one. Number two, we have ServiceNow Labs. This is an investment from Cognizant. You call it a center of excellence, whatever the name you want to call. The ServiceNow Labs is the biggest differentiator for our customers where we constantly produce the best practices and we take those best practices to the customer. The third one is we constantly innovate. Innovation is very critical. So we used to do something called hackathon. For the past three years, we have been doing hackathon. A team from ServiceNow, they go all the way to our delivery centers in offshore. 4,000 people will be part of the hackathon across different locations over video conferencing, bebex and things like that. Recently, we did about three months back. 80, for 4,000 people, part of the 80 plus innovation ideas came out. All these 80 plus innovation ideas, we go back to the customer, hey, you are in healthcare. This is something, you know, to track your ambulance, you know, for 911, et cetera. These are the things, ideas, you can do that. So I would say constantly re-skilling the people via our ServiceNow Academy. The second thing is constantly producing best practices via our ServiceNow Labs. And the third one is, you know, powering the innovation via hackathon. These three things really help us to, you know, take the value of ServiceNow to our customers. Excellent. All right, we got to wrap before the music starts. Thanks very much for coming on theCUBE. Really appreciate it. And thank you, and it's a pleasure to be talking to you guys. You're welcome. Thank you. All right, keep it right there, everybody. We'll be back to wrap right after this short break.


Today's event is the LEGO League and ATEC is sponsoring the competition to help youngsters get into programming and problem-solving. ATEC is the Army's Test and Evaluation Command. We test everything that the Army gives to the soldiers from weapons to communication systems. I think getting kids involved in STEM overall is amazing. It's a lot different from when I was a kid. Kids who are involved in this kind of were ostracized a little bit, but now we're celebrating it more, getting them put early, especially young girls. You never saw young girls when I was a kid participating in STEM, programming, and robots and stuff, so I think that's the biggest takeaway. So what my position here in role is is to get students as well as individuals that are going through college interested and excited about STEM. So we want to get that pipeline of STEM students so that when they do graduate and they have their degree in engineering or science that they can become part of our workforce to support our soldiers. Our favorite part of today, and my favorite part, is the afternoon competition. When they go on the head-to-head on the competition tables, the students really get into it. They get excited. You see them jumping and screaming at the tables as their robot goes along the mission. Solar panels, I love it. I have to come see you guys in the pit area and find out what it was about. I love working with kids and exciting them. My personal role, I am not an engineer, however I love children and I know how important it is because when I was their age, I didn't have this type of STEM push in the environment, in schools, as well as in college. The more you get excited, the more future engineers are tomorrow.


Parasitology is the study of parasites, their hosts, and the relationship between them. As a biological discipline, the scope of parasitology is not determined by the organism or environment in question but by their way of life. This means it forms a synthesis of other disciplines and draws on techniques from fields such as cell biology, bioinformatics, biochemistry, molecular biology, immunology, genetics, evolution and ecology.


A plate county detention center inmate is back behind bars after escaping from a transportation van Wednesday morning. Jailer Freddie Lewis says 22-year-old Nicholas Shook saw the chance to escape during a stop on their way to a work release detail. When Darren went into the store to buy the bag of ice, he noticed as he looked out the door his van door had opened. That's when Shook saw an opportunity he couldn't resist, a black Ford F-250 parked next to the van. He was a construction worker and he had stopped there to get him something to eat, but he messed up and left a key in his truck, so the inmate jumps out, jumps in the truck and takes off. Shook was located soon after, and following a short pursuit by Pikeville police officers in the Kentucky State Police, he was stopped at Long Fork of Vergey and taken into custody. Lewis says he's thankful Shook was stopped so quickly because it appears he had plans to leave Pike County. We did record the phone conversations and burn him onto a CD where he was talking to his girlfriend. Y'all gas up the vehicle, we're going south. Why? I'm god, I'm ready to go. Anywhere but here, we go to the beach wherever. He had this plan. Shook was nearing the end of his original sentence with less than a year left to serve, but Wednesday's escape added three new charges against him. Theft bone awful taking, $10,000 or more, fleeing any vagueness, also an escape second, so all three are felonies. Nicholas Shook is now looking at an additional 10 to 15 years behind bars. Reporting in Pikeville for EKB News, I'm Shannon Deskins.


sign up today. The following is a presentation of TFNN. A Trader's Edge with Steve Rhodes at 1-877-927-6648 or internationally at<PHONE_NUMBER>. The Trader's Edge. Now, Steve Rhodes. Good afternoon, folks. Welcome to the terrific Tuesday, the May 5th edition of today's Trader's Edge Show. I'm your host, Steve. Perseverance Rhodes, who absolutely knows that each of us should always be pioneers of our future versus prisoners of our past. Hope everyone out there is having a great day. Hey, let's make sure we have an extraordinary one. And the easiest way to do that is to always remember that life is happening for us, not to us. That's right. We do not make that one little two-by-four shift. It means we can find the gift in every set of circumstance that life is going to toss at us. Now today, you and I, we get to go check on the circumstance of these markets. We get to go figure out what those bulls and bears, what those buyers and sellers are communicating to you and I just passed one o'clock in the afternoon. I want you to know that I'm absolutely grateful for your presence here, but much, much more important than that. During this next 60 minutes, I'm here to serve you. So feel free to pick up that phone. You can dial on in<PHONE_NUMBER>. If you can't tell it, we've got you covered there, too. Let those fingers do the walking. You can always send me an email, steve at tfnn.com. Inside the subject heading, please put radio show question. And then our tiger is dead. Well, any ping will do. So let's go ahead and get this show started on terrific Tuesday. Of course, this is Tiger, Financial News Network. And of course, Happy, Cinco de Mayo. This is the type of corona that you do want to have in your possession. Now, we're not going to open it and drink it now, but I guarantee you a little later on we'll be popping the coronas out there. But in the meantime, let's get to these markets. Let's go see what's going on right now. We've got all the indices in the green. You've got the Dow up 314 points, about one in three tenths percent. S&P is up one and a half percent, 45 points. NASDAQ 100, one in seven tenths percent. Russell's up two percent. Semi's are up two and a half percent. So we've got some movement to the upside. We're going to go see what everything is trading into. You've got gold off three bucks. Silver's up about 30 cents. Way to move out there, two percent. Lights we crude is up four bucks, 20 percent to the upside. Treasury bonds, basically the 30 year is back eight ticks. They charge dollar wise to the upside. It is the googly one. It's up 41 bucks, trading out at 1364. Shopify's up $39. She is trading out at 698. Wayfair up 32 bucks. Regenerate pharmaceuticals up 29. So some big movers. The shakers are Transdision Group down 22. Eitron, Inc. is off 11. Martin Marietta's down nine. Booking Holdings down six, although that's not a big deal there. So plenty to look at. Of course, I want to look at what you want to look at. No requests so far. So let's get right to what are the indices doing out here? What are they doing? Let's go take a look at our market profiles for our four equity futures contracts. So here's what we know. We know that price is made up to the top of those profiles, the top of the profiles for the ES and the NQ. Inside the Russell 2000, the very right-hand side, it's above the top of its box. Now the top of the profile is where sellers are at. So it is no surprise that so far, the high inside the ES mini is $2889.50. And the top of the market profile is $2890.75. You've got to love that. $2889.50 versus $2890. Man, what a beautiful thing. So prices run right up into resistance. And here's where the sellers were seeing the sellers try to flex their muscles a bit. We're going to try to figure out whether they're able to flex their muscles or are they just simply able to push price down as sports. So we'll go take a look at those levels on the short-term timeframe. Inside the NQ, the same pattern. The top of its profile is $89.95. The high today $89.98. We're trading just below that. So again, we know where the sellers are located. The question is, do buyers have the ability to overrun those sellers? I don't know the answer. We'll be able to make an educated, not guess, but an educated conclusion based upon whether or not the sellers can break the short-term backs of buyers out there by taking a look at the breakout levels. Now, in the case of the Dow Equity Future contract, it has not made its way up to the top. And the top there is $24.198. The high today so far is $20. Now, let me make sure I get it. It is $24.57. And the Russell 2000 price is above the top of that profile. That is $12.54. Now, here's the interesting thing. Well, let's do this here. I can't say interesting, but let me do this. Do what, Steve? Well, here's the four different timeframes for each of the futures. Well, I'm just going to do the ES, the Dow and the NQ out here. So if we take a look at the ES money, you can see on the upper left-hand corner, there is your resistance level that price is traded into on a daily basis. On a weekly basis, prices held the bottom of that profile. So $27.79 is a real key level on a weekly basis that, quite frankly, the ES money must close below to suggest there's some kind of a top in here. Otherwise, from a weekly profile perspective, support is held. Now, on a monthly profile, we just began a new month. I don't have to tell you that. It's really not just today, it happened on May 1st, but there is a brand new monthly profile and support there is $26.58, the ES money. The ES money is traded also into the resistance of the top of its quarterly profile out here, which is measured at $28.83. So that's what the ES money is looking like out here. So if this is helpful to us, if buyers are able to overcome resistance on the ES money, the daily profile out here, you could easily see a run up to $31.43. That would be the center of its bearish structured monthly profile. Now, I'm simply saying it's going to run up there right away, but that would be the next profile target because the profile target for the weekly basis up at $32.64. So that's a possibility. Market has to prove itself. It hasn't proven itself just yet. Let's go take a look at the NQ out here. Now, the NQ on the daily, you can see price running right up into the top of its resistance level, the top of its profile. No new weekly profile out here. That's been in place for over a month. The top of its profile is $97.48. That's where resistance would be. Price is above the top of the quarterly profile and inside the NQ, all you see appears resistance is a nice little rising trend line and that has contained price out here. So the NQ, the only hope, not the only hope, but the primary hope for bears would be that prices unable to close above $89.95.80 come days in. If we take a look at the Dow out here, this is the weak link, a weak link. This also has formed a new monthly profile. And so you've got the bottom of that profile is at $24.870 and the top of the daily is $24.198. That is really the range, I would say, of the make it or break it type category out here. Now, the Dow is still, I want to say it's the weak one. Here, just take a look at the trend lines. These trend lines, the Dow is going to be in the upper left-hand corner. And so what price has been unable to do inside the Dow has been able, where it's found resistance, is at the 2016 trend line. So start from the bottom of that all the way up to the low that we saw in December of 2018 out here. And you can see that that is that secondary trend line level, not the case obviously inside the S&P, not the case inside the NASDAQ, but inside the Russell. Here's the real weak one. It hasn't been able to really close above its March of 09 trend line. And here, we've just simply connected the lows from 2016 out here. We take a look at the spot follow till next before we go to break out here well below the 50-day exponential moving average. That exponential moving average level is 40, 43. Really, in order to get real traction to the downside in the markets, you're going to need to see that spot follow till next trade above that level. See broach with TFNN. We'll be right back. If you're not currently using the TAS Profile Scanner when looking at setting up your trading opportunities, then your arsenal is short a mighty weapon. The TAS Profile Scanner is a standalone piece of software that instantly filters over 2,500 global financial markets such as stocks, ETFs, commodity futures, and forex. Headed by Steve Dahl, TAS understands that in today's technological world, the use of top flight software applications and technical analysis expertise is essential to successful trading in today's market. You also gain access to the webinar that Steve Dahl and Tom O'Brien just hosted, the best way to use the TAS Profile Scanner to profit. This webinar archive is available for all subscribers immediately upon signing up. All new subscriptions also come with a 30-day money-back guarantee, so you have nothing to risk. Start your subscription by visiting the front page of TFNN.com today and you'll find the TAS Profile Scanner under the Services tab. Sign up today. Are you in the market for buying or selling real estate in the Bay Area, including the surrounding St. Petersburg, Tampa, and Clearwater markets? 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Just enter promo code open at checkout and pay nothing for 30 days while you try out your Tiger's Den membership as part of our open house with market volatility at an all-time high and people all over the world working from home if possible. TFNN is hosting an open house in our Tiger's Den. The Tiger's Den is an interactive chat room that runs all day where other Tigers and Tigresses discuss trading ideas with the hosts and members along with charts and current market news as well as live access to the charts the hosts use during their programs. Join us for the Tiger's Den open house. Begin your Den membership today by just entering open at checkout and pay nothing while you try things out for 30 days. For all the details and to start your Den membership today, visit the front page of TFNN.com. Don't miss out on the TFNN Tiger's Den open house taking place now. Sign up today. 8-7-3-7-6-1-8. Welcome back, folks. So we'll come back to the markets. Let's go to our first request out here. This is from inside the Tiger's Den. The request is to take a look at the GLD. So we'll do that. But before we do that out there, what I want to do because that is the ETF for gold is really just take a look at the picture of Goldilocks. So let's go take a look at what we do know. We take a look at gold. Let's start by taking a look at the primary trading range boundary lines out here. And here on this chart that we're taking a look at the green lines. This is, by the way, this is a weekly timeframe chart we're looking at. But presented on it are both the weekly, which are in green, and the monthly, which are in red horizontal trading ranges. Now, what is the horizontal trading range? What we do or what I do out here, and this is really coming from Bud Ross, but it's slightly different than his work out here, what I've, and I've automated the process. So I'm taking all of this data right now that's on this chart, the weekly chart. And this just take me back into the 2009 timeframe. And what the system does is it goes out and identifies the largest number of opens or closes. So we're looking at only the bodies of the candle. It doesn't matter whether it's an open or closed. And when it finds that, it then looks for the second largest congregation congestion area of opens and closes. And that establishes our trading range. And then once you have that dollar value, you just simply add it to the top and to the bottom. So a monthly closing candle is obviously not obviously, but most of times it's going to look different than a weekly, unless the month ends on a Friday. And then dailies are obviously going to be different out here. And that's why the levels are different. On this weekly chart, what we can see here is gold has just been consolidating sideways in between its weekly horizontal trading range levels on a closing basis. And that is between the areas of 1695 and 1762. And we've been inside this range out here ever since the week of the week that began April the 6th. So over a month now of just trading sideways. So JP in the Tigris Den, gold is just simply trading sideways inside that range out there. So that's the first thing that we know. What else do we know about the Goldilocks? Well, we know that today it's trading slightly lower in terms of dollars, higher in terms of euros, lower in terms of yen, and slightly lower in terms of pounds. So it's not like there's any synergy here for either buying or selling in gold going across the globe. Makes sense that we would see in essence very little movement, which is in fact what we have. What else do we know about gold? Well, we take a look at the daily time frame chart here for Goldilocks. Here's what we know. It formed a TD set up nine count high out there, did that on bar number eight. Price has been struggling, has been going back and forth between the bottom of that profile at 1706. If it does give way, so there's topping, very solid topping pattern that is out here. If it does give way, price should pull back to 1595-20. 1595-20 would be its breakout level.  And GLD does not have the exact same patterns out there. So you'll see inside of GLD, I do not have a TD nine count, which means if I were to use this, I would be missing a very important, well, several things. I don't have a TD nine count top. I don't have the breakout level out here to rely upon. So in trading the GLD, really important to take a look at the underlying instrument. And that would be the gold contract itself out there. So I hope that helps you out with regard to gold, what it's doing. And then if not, well, then tell me how else it is that I can help you. But just simply sideways consolidation type action. Hope that helps. Now, let's go back to the futures contracts out here because as we were pointing out, Jay was asking for a wish. And that wish was that he got a six-pack of Corona that would sink the markets. And so you may get that wish out here because price has certainly run into, as we're looking at the countertrend rally ending, well, then the ES and the NQ have done its job. But we did say that the Russell 2000 is the one that is trading above the top of its profile. And so in essence, we need to take a look, or I think we should take a look at kind of the strong dog out here, strong with regard to trading above resistance level. So let's do that. And in doing that, well, first I have to change over to take a look at those charts. Thought I thought it was there. Sorry, just a slight little delay, but we're getting it back here quickly. So the first thing we're going to look at is going to be the 30-minute timeframe out here. Again, price hasn't yet resistance. We know the resistance is over in the ES and the NQ, but what's going on in the short-term basis inside the Russell 2000? I'm glad you asked me that. Well, here's what we can see. We can see that two things were going on. Price was moving higher as it made its high, doing so with less relative energy. That triggered the road's momentum indicator signal to actually trigger it on a bar number seven. Bar number eight was the high of this session, so to speak. And this did have a confirmed TD nine count. So now you've got, by the way, bar number eight was a dark cloud cover bearish reversal candle. So now we know about the Russell 2000, because even though on a short-term basis, it's given us a very valid topping signal, granted price above the top of the profile. So can we learn from this that, and I'll pull over the other 30-minute timeframe charts, by the way, for the ES and the NQ, but could we possibly get J, an early warning signal that would come from the Russell 2000, not the ES and the NQ out here. And what I mean by that is because of the valid TD nine count top that we have, if the Russell 2000 is able to close below 1270-20 and granted at 1258-10, there's another breakout level. But if it can close below 1270-20, would that be signaling to us the possible change in trend? And it may be. Look, if we're going to see a change in trend in the marketplace, one thing is for sure, if the top was in, possibility, nothing confirmed just yet, if the top was in, then what we will see as markets move lowers, we will see the markets break through these breakout levels, these TD nine count support areas. So 1270-20 is the level that I'd be watching inside the Russell 2000. Granted, there's also support on its 30-minute timeframe, which is 1279-50. And that's the bottom of its bullish structured profile. Now, what that's going to tell you is if you see a close below 1279-50, that almost guarantees, although there's no guarantee out here. So I'm using that as a, I don't know, metaphoric type language. But it certainly increases the probability. We're going to see at least a test of 1270-20. Now, here's the thing. If we do see price move to 1270-20 and price holds, well, then the weak link out here, potential weak link, the Russell 2000, has not given you any kind of sell signal whatsoever. In fact, it's just a topping pattern, the, either the TD nine count or the Rosamund to indicator, just with the ability to push price down to support. So watch that 1270-20 level. Now, the reason why I think the Russell is important to take a look at, not that the others aren't, is because it's likely going to be the first one that would get down to that support area and tell us whether or not this is right now just a, Hey, we got up to resistance. There were snipers up there. We're going to reload our ammo. We're going to take another run for them, just like the Russell is able to do. Well, when we take a look at the ES mini out here, it has quite a ways to go before it would get to its breakout area. And if they close below that, by the way, that breakout area is 2847, that could be then signaling to us that in fact, Jay, you were given that gift. You were given the gift of a market starting to move lower because price got up to resistance or at a minimum, it says what we're in a consolidation in between the market profiles out there. But the ES mini, to give you that confirmed sell signal out here, would need to close my opinion. You need to see it close below 2847, at least short-term support failing. Now, there is no topping signal here inside the ES mini. And that makes me say, on a 30-minute timeframe, makes me say, hmm, something to think about. Because you see, it could have been bar number eight or the following bar number one that identified the top on a 30-minute basis. And we don't have that. You know what that tells Stevie? The ES mini is going to make another run for the top of that profile. Maybe even take it out. We get that same message inside the NQ for its 30-minute timeframe. Steve Rhodes with TFNN. You're right back. To become the best of the best when it comes to managing your money, let me teach you to do what most wealth managers tell you can't be done, which is how to time the markets. I'm Steve Rhodes, author of Mastering Probability. And for the last 12 months, Timer Digest has been tracking my newsletter signals, which have earned me the ranking as their number one market timer in the nation for the S&P 500 for the last 12, 6, and 3 months. Timer Digest also ranks me as the number one market timer for gold as well. The fact is markets can be timed. And I'll teach you the exact set of tools that I use that has transformed me into one of the best at what I do. Sign up for Mastering Probability today by clicking on the newsletter tab on the homepage of TFNN.com and get immediate access to workshops where I take you step by step how to use an extraordinary set of tools as well as provide great market calls too. Sign up today. If you're a trader in the market looking to find the path that leads to maximizing profits while decreasing risk, then now is a great time to try out Dave White's daily trading service, The Path of Lease Resistance. Through the use of options and equity trades, Dave advises his subscribers on a daily basis of the current market conditions and what possible trade setups are on the horizon. The Path of Lease Resistance is published every trading morning, often with updates intraday when initiating trades or closing out positions. Dave White has advised his clients of some outstanding winning options and equity trades in recent months and now is a great time to try it out for yourself. New subscribers to The Path of Lease Resistance receive a 30-day money back guarantee. See for yourself the types of options and equity trades that are available by signing up for The Path of Lease Resistance today by visiting the front page of TFNN.com and selecting the newsletter tab. Sign up today. TFNN is excited about our new software charting program, The Art of Timing the Trade Charts. In collaboration with Tom O'Brien and using his best-selling book, The Art of Timing the Trade, Your Ultimate Trading Mastery System, David White has programmed an outstanding piece of software that will complement any trader's methodology. Using this first-of-its-kind program, The Art of Timing the Trade Charts allows you to scan thousands of stocks for Fibonacci formation setups, including guardleafs, ABCs, butterflies, and much more. The Art of Timing the Trade Charts is designed to help you when scouring the markets for stocks just beginning to form the trading patterns that many investors spend days, weeks, or even months searching to find. And right now, we're offering licenses available at only $79 a month. We are so confident that you're gonna love this new charting software that will even give you a 30-day unconditional money back guarantee. Don't miss out on this incredible new piece of software. Get your copy of The Art of Timing the Trade Charts today by visiting TFNN.com. This segment is brought to you by Think or Swim. For more information, just click the Think or Swim banner on the front page of TFNN.com. Welcome back, folks. Let's go to our first email question. Again, you can send me an email, Steve, at TFNN.com. Inside that subject heading, please put radio show question. First email coming from Brent in Martinez, California. And Brent wants us to go ahead and take a look at Lightsweed crude. Brent goes, hey, I'll read his email because he love it. Makes me smile. Is the move in oil today doing anything to blow your skirt up? You know how I like to use that phrase. I'd appreciate your analysis. I seen recall number around 22 as a level of a diagonal trend line resistance, which is right, has been surpassed today. Thanks as always. And thanks for writing in, Brent. And yes, you're exactly right. You're looking at the... I'll just expand this out here. We're taking a look at the June contract. And in the June contract, folks, I have a couple of different tools that are present. I've got a little trend line set of tools out here. And you can see one of the trend lines that Brent is referring to, that price got above. In the bottom of that daily profile, remember, the profile formed above price, which generally is a bearish indication, prices above the trend line, it's traded into the center of that box now, which is about 2526. Hasn't hit it exactly, but it is trading above 2291. And it's back inside that profile range. And what this is suggesting to us, Brent, is that price will go and tag the top of that box, the top of that profile, 2760. And if it were to close above the top of the profile, it would be signaling to us a change in trend inside of LightSuite Crude. So when we go ahead and we shrink this down, you're also going to see how LightSuite Crude is trading all the way out through 2022. And that takes us to January of 2022. And that contract is currently priced at $35.35. Now, if we take a look at my other timeframe charts, well, I'm sorry, if we bring over my other daily timeframe chart here for LightSuite Crude, what we're going to see is this did form a TD9 count bottom. So that was the low that it put in using the TD9 count bottom. Now, the benefit there is that pattern then gives us a real resistance level, which is $34.50. This also confirmed even the price, a TD9 count bottom. And then, what we had take place about four days ago, four or five days ago, was on the trading session of April 29th out here, you had the bullish reversal candle to confirm the roads went to indicator signals. So now, what LightSuite Crude actually has is two bottoming patterns out here. And this chart would say that price is headed to $34.50. That's the next resistance. So our target here, you'd have to say in the June contract, is going to be between $27.60 and that, and if price can get overcome that level, then we'd be looking at a move up to the $34.50 area. Today will be bar number four of a potential TD9 count pattern to the upside, but that's got another four or five days before that pattern could actually confirm out there. So that's what I see going on in LightSuite Crude. Now, if we take a look at a weekly timeframe out here for LightSuite Crude, this is showing a road momentum indicator bottom on a weekly basis. And that was last week's hammer candle that formed, that generated that signal. This Brent on a weekly basis is telling you and I that price wants to run up to the Stevie's red line. And that's in the 29-ish type area. On the print right now, it says $29.24. That level will go up as price moves higher out here, but it's in that $29 area. A close above that on a weekly basis would also suggest a change in trend. So that would be another level to watch, because excuse me, moving up into Stevie's red line and rejecting that would say this was nothing more than a counter trend rally. So the weekly chart is going to be important to take a look at. Let's just do the 30-minute timeframe out here for LightSuite Crude. What do we have? Do we have anything? And I got zip. I've got nada. Now, I'm sure there's an A to B equal CD pattern here. Yeah, I mean, you could draw a number of them. And so we did get a bearish reversal candle, but prices just beginning to trade below Stevie's green line. So on a short-term basis, price could pull back anywhere between $22.26, $22.77, and $22.98. And nothing would be broken with regard to what we just took a look at on the bigger picture out there. That would be a short-term support. But I can't say I have a really great feel that that's really what the outcome is going to be at this stage of the game out there. So Brent, I hope that helps you out with regard to LightSuite Crude out there. And thanks for writing in. No other requests at this stage of the game out there. So let's go take a look at, oh, I know what I was going to do. Back to the general markets out here. So I'm going to come back to the general markets. Give me a moment. We're back at the profile level. And what we want to do, so we were taking a look at really using the Russell 2000 30-minute timeframe as a gauge to help us understand what the intention of the market is. Well, in the case of the NQ, we're right now back to the top of its profile out there. And inside the NQ, what we really need to do is go take a look at the top six holdings that represent a substantial portion of the industry. So let's go take a look at Microsoft. That is number one. I don't know the weighting off the top of my head, but I do know it's the number one weighting. Now, in the case of Microsoft, this had a confirmed Gertleys cell pattern, a confirmed TD-9 count, confirmed because it did form that Three River Evening Star. But remember, sellers, when you get a topping signal, what we don't know, but what we want to be able to identify is where are the support levels? Can price take out support? Well, in the case of Microsoft, the answer was no. Price pushed down to support and that is DB's green line. So that level is held. We did say a one hit wonder. This was on the trading session of April the 28th, but all price was able to do there is get back to the top of its profile. So no level of support has held, even though this Gertleys cell pattern now goes away with price, assuming that price is going to close above the high of this evening star, which is 180, even Steven, and we're at 182. In fact, I'm just simply going to take that off the pattern, the palette right now. What it is doing now, it is moving it to wave number seven. That is letter G on my screen out here. So there is another potential topping signal inside of Microsoft, but it must close below first Stevie's green line, two sessions in a row, and then below the bottom of the profile 164.7. And then it must take out 157.58, its most recent breakout level to confirm some type of change in trend. But as we speak right now, Microsoft does have a valid topping signal, but that can't be confirmed until we see a lower high, meaning wave number seven could extend tomorrow or the next day indefinitely until there is a lower high. So potential, but also two topping signals inside of Microsoft have failed out there. Let's go take a look at the number two weighted component inside the NDX 100. Well, that is Apple. If we take a look at Apple, this two confirmed a Gertleys cell pattern. It did it a few days ago when it generated that shooting star candle. Shooting star candles, typically their work or they don't, what I mean work is that you usually see follow through the very next day. Now this is the May 1 shooting star. We did not get follow through yesterday. Doesn't mean that it is a failed candlestick, but today is saying, oh, Steve, oh, it may be a failed candlestick because price right now is trading above the top. That is 299 even Steven were 299 57. If in fact the Apple close above 299 even Steven were trading right now, this will have a failed Gertleys cell signal. Let's go ahead and get rid of it because I can always draw that back in. There's no other topping signal, not that wave number six letter F can't be it. But this would be saying Apple wants to trade up to 32465 where it had broken down. Those two things, we'll go take a look at Amazon next, but those two things, the number one, number two waiting inside the IDX 100 can certainly pull its market higher. We'll be right back. If you're in the CD market and looking for a secure investment, the Tiger First mortgage program may work for you. The security for these first mortgages are building lots in the tax opportunity zone in St. Petersburg, Florida. The tax act of 2018 set up tax free zones across the country where you can build and hold for 10 years and pay no tax on the profits, which makes these lots valuable. Investment is anywhere from 30,000 to 75,000. The interest paid is 7% yearly paid on a monthly basis. According to bankrate.com, the best rate for a four-year CD in the country as of February 20th is 3.1%. 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Let's go back and take a look at the remaining four constituents inside the NDX100. Amazon is, I believe, the third-weighted structure inside the known. In the case of Amazon, it has a couple of different topping patterns. It's got our butterfly cell. That butterfly cell pattern was confirmed when we saw the gap to the downside. This was on May Day, on May the 1st out here. Now price has broken one level of support and that would be Stevie's Green Line. That's a $23.93 out there, $23.93. This also confirmed the roads went to Indicator top. But price needs to first close below the bottom of its daily profile out here. So $22.39 is the number to watch, $22.39, $33 to be exact out there. If, in fact, Amazon were to close below that, then you'd be looking for a run back to its breakout era at $19.30. But it's got a topping pattern, but hasn't been able to break any real key levels of support out here. Well, the first level, but not the second level. So watch the $22.39. So we'd have to say that Microsoft and Apple are both bullish. In Amazon, we'd have to classify this as neutral, even though it's got a topping pattern, because it hasn't taken out the bottom of that portfolio. That is how I would view things and I would look at it. If we take a look at the Google-y one out here, let's go see what it has. It has Zippo Nada Zilch when it comes to a topping pattern. There's a Gartley cell possibility. Oh, I take this back. I take this back. I take it back. My apology. It did have a Gartley cell pattern. I'd already erased that. My apology. And that pattern had completed when we had this little bear sash candle a couple of days ago. However, prices trading above the resistance established by that bear sash candle. So that pattern too has gone away. Of course, at the end of the day, if price closes below the resistance level, then that would not be the case. But at 1.44 in the afternoon, prices above that. And what Google is suggesting to you and I is that it wants to move up into the 14.03 level. That's it's 1 to 2 A to B equals CD. So this did have a Gartley cell pattern at this stage right now as 1.44 in the afternoon. That's been violated. And if Google closes right here, it's suggesting that it wants higher price too. So we've got, you know, here's a signal coming from inside the QQQ series. And we do know that where these sellers are sitting at atop that profile. But look at the strength inside of the weighted socks inside of the NDX100. And it makes you kind of believe, makes you kind of believe, boys, that is that not just the greatest grammar on the planet earth. Yeah, I agree with you. It is now, by the way, Brent, I forgot to answer your question. Yes, it did blow my skirt up, but it sinked a mile. Yeah, I don't know what that means. But here's what we do know about Facebook out here. Do we have a topping pattern in Facebook? And the answer here is, we do not. Granted, the case of Facebook, prices pressing into the top of its profile out here. It's a bullish structured profile. It's right around where price is trading right now. But that alone, that's just resistance. It's not a topping pattern out here. There's an A to B equals CD, the one to two A to B equals CD would get us up in the 218, 49 level. So if price can close above this profile out here, that would become its target. But nothing bearish when we take a look at the chart for Facebook. So now that covers five of the top six. You double up on Google for the two shares that it has out there. And then that leaves us with the last one. Yeah, that was Facebook. Did I say something else? But it was Facebook. G count Steve off the bottom. In Facebook? Let's see here. Let's see, what does Stevie have? I believe that went away. If we come off of the bottom, yeah, so that went away with today's higher high, Peter. So wave, letter G, wave number seven, that would have taken place on, let me see. So great question. Thanks for asking. Let me get the cross here. So what Peter was looking for is he saw wave number seven and that was on April 30th. But the high on April 30th, let me get that for you. Well, let me try to get that for you. If there's a will, there's a way 209.69 is the number and price traded just above it. So it negated that wave number seven pattern, which was why I had turned it off. So I didn't want to confuse anybody. So no, no, no, no. So that's the nice thing about having this, the tools automated. So because that way I don't have to worry about missing something, you know, out there. It's pretty, it's really easy to do, unless you've got Basil's eagle eye. I don't have Basil's eagle eye. But price in the case of Facebook is up at a resistance, but no topping pattern that we have in the case of Facebook. It did have wave number seven, but that's now been violated. So no topping signaled all inside of Facebook. Let's go to Intel to round out, which is more than 50%, I believe, of the weightings when we combine all of these. Now in the case of Intel, it does maintain its currently sell pattern. And now when it hasn't done, it has not broken through its second key level of support. It's right now trading, trying to trade back into Stevie's green line. In fact, it is. It's testing that level in the 5915 area, but price would have to close above. It has to close above the high at 6213 in order to negate the Gertley sell pattern. Its pattern was confirmed when we saw the gap to the downside about a half a dozen trading sessions ago. And we saw one a couple, three days ago as well. So it's got doubly geek confirmation out here. So the weakest of all of the top six inside the NDX100, well, it's only one that's weak, right? It's Intel. It's the only one that still has a confirmed sell signal out there. So, you know, boy, when I start, and then when we go back to the shorter term timeframe charts inside the equity futures area, and I'll pull this up. So here's the 30 minute chart. I think I just posted it real quickly as we're going to break here. You take a look at 30 minute timeframe, no topping signal at all out here. There was a chance earlier this morning around 10, 1030. That did not come to fruition because there was a TD nine count pattern here. Prices got, it's above all resistance even on a 30 minute timeframe out here. So the fact of the matter is the NQ, based on what we've looked at, it should not surprise us if in fact it's able to close above the top of that profile level. And that is 89 95. So I guess my would caution firing away at the short side inside the NQ right now, just looking at the makeup and we can take a look at, well, here, I know I can take a look at, I think I can. Do I have it up? Well, I'll, let me get, let me get this started here. I'm going to go to my shortest term timeframe, task market profile. So give me a second here. I'm going to pull this up on the screen for us. And when I say shortest timeframe, we're looking at a 30 minute timeframe. So if there were, there was, there will be some type of top on a 30 minute timeframe. We'd want to see some type of bearish crossover. And we just don't have that right now using this timeframe. There's 196 constituents. Oh, I'm in the S and P my apology. We were taking a look at, give me a second here to trade to change over to that. There we go. Let me get this. Okay. So here inside the NDX 100, 53 of the components on their 30 minute timeframe are trading above the top of their box and only eight below the bottom. Kind of get the gist here. It looks pretty darn bullish, at least as of 150 in the afternoon. So Jay, maybe you're not going to get that corona wish whatsoever. But if you were down here, I'd serve you coronas until the cows come home. And if the cows came home, we'd make a lot of money because of the shortage of beef. C roads with TF and F will be right back. Updates when warranted. The opening call provides traders a daily market overview with regard to the direction of the key indices, selective stocks and commodities, along with specific recommendations, including stops and targets. You also gain instant access to Basil's subscriber webinar archive from earlier this year. A dark cloud cover and essential market analysis ride the Chapman wave today by signing up for the opening call newsletter on the front page of TFNN.com under the newsletter tab. New subscribers get a 30 day money back guarantee so you have nothing to risk. Sign up today. The gold market has taken off topside in a large way in 2020. If you want to take advantage of this sector now is the time to subscribe to my gold report. 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So a couple of quick questions that have come in here. One is a question of where is Microsoft headed to and can it reach $190 by Friday? Now that I don't know, but here with regard to Microsoft, there's an A to B equals CD. Price is traded up into the one-to-one price projection, $182.62. The $1.272 was $191.39. You're looking at going to trade up into the high basically at February 11th at this stage here. We don't have anything to suggest otherwise. It should trade higher. Whether that Eddie is up into the $190 area by Friday, that I can't say, but there's no real topping. There's no topping signal whatsoever so far inside of Microsoft. Mike S wanted to take a look at the GDX. So let's go take a look at that here quickly. So the GDX traded higher today into the top of its daily profile, daily profile somewhere just slightly above where we're trading right now. I can't see. I think it's 34.71. We're 34.60 right now. Here's the thing, Mike, that I would say to be careful of. What today's high triggered inside the GDX is a potential roadsmint to indicator top out here. Now the last time that we saw the roadsmint to indicator top back here on September 4th, that certainly led to a decline and then a real consolidation sideways. So what you're going to want to watch if you're inside the GDX is until you get out, you're up at resistance on a daily basis. But if you were to see a bearish reversal candle, that would tell you you're going to see a retracement either 32.15 or down to 24.37 out there. So that's what I would be looking for. The last question coming in from Hector and the fuel injectors. And yes, Hector, Happy Cinco de Mayo to you as well. And he says, so the VIX is the king. And the VIX is the king out here. You always want to take a look at it, understand where is it trading in relationship to that 50 day exponential moving average, which right now is printing at 40.42. And what's the reason that you want to do that? Well, generally speaking, let's go to Steve's generally speaking chart. That's this right here. When the spotball of Tildex is below the 50 day exponential moving average, the S&P wants to move sideways to higher. And when it's above, those would be the yellow boxes, the S&P wants to move sideways to lower. Folks, thanks so much for being here. Stay tuned. Two great hours are up next. Enjoy your Cinco de Mayo celebration. And I look forward to seeing you on May 6th. Take care.


about it, because I think it solves for a lot of people a problem that many of us are having. And this project is going to start in a month or so from now. And what we're calling it is photo assignments or photo sketchbooks. And the idea behind photo assignments is that once a month, we're going to take a photographic topic of some kind. And we're going to spend the entire month photographing, printing, documenting exactly what the assignment was. And that's going to come at a later date. But the idea of this is to help other photographers who are struggling with the creative process, the way of thinking through photography in a creative sense. Because I think that that's one of the biggest problems that photographers have. Here on our YouTube channel, we can show you hundreds and hundreds, if not thousands of tips and tricks and ways to use Lightroom or use Photoshop in a creative way. But many people kind of look at those tips and tricks as they're only they only work for the trick that you are showing them. And that's not necessarily true. If you are a chef, is there only one way to use a cucumber? No, there's lots of ways to use a cucumber. But what we want to do is create a place for people to start thinking creatively. One of the challenges that I think that I'm going to have in this assignment is when it comes to doing the journaling part, I have a really bad habit of trying to make everything so perfect. And that's not necessarily always a good thing, not only make them perfect, but sometimes I find myself falling on the literal sense quite often. And being literal or being perfect doesn't always allow for the most creative thinking. And so the very first assignment for photo nerds photo assignments isn't actually a photo assignment at all. So anyone that wants to participate in this project, we're starting off our very first assignment is I want everyone to go out and get this book called wreck this journal. And the idea behind this book is that there are lots of fun things to do.  There's all kinds of things from tearing out pages to throwing things at it to folding things up, all kinds of stuff. Let me show you a little bit of what I'm talking about girls, come here. You girls want to help me wreck this journal? Yeah, yeah, yeah. Hopefully you get the point as to what it is I'm talking about. So I want you to get your journal and start destroying this thing. There's over a hundred things to do in here. So even trying to do one a month, you still won't be done with this book by the time March rolls around when we'll actually be getting into our very first photo assignment. But for now, it's not about that. It's about the creative freedom of being able to wreck something or destroy something or maybe not be so literal or not be so perfect, or to kind of think creatively about ways to actually destroy this journal. So this is kind of a fun little icebreaker that we wanted to do for ourselves and actually share with you. And right before March comes, and that's when we'll actually be starting our actual photo assignments, we'll talk about the journals that we've picked up that we'll be doing the supplies that you'll need. And what our actual first photo assignment will be, we'll also be having a community aspect of this on our Facebook page. So if you haven't already liked our Facebook university page, go ahead and head over there. That's where we'll be posting our assignments and posting work from not only our own sketchbooks, but also from the community's sketchbooks. So if you want to be a part of that, be sure to head on over to the photo nerds university Facebook page. And like that would we'll really be looking forward to seeing you over there. And in the meantime, enjoy wrecking your journal. We look forward to seeing what you guys are doing with the journal over there. Until then, stay tuned. Catch you in the next episode.