Well, we were to consider what is called a Cauchy's criteria for uniform convergence of a sequence of functions. So, let us begin with that Cauchy's criteria for uniform convergence. So, as usual we will take a sequence of functions f n from e to r and we shall say that this sequence of functions satisfies this Cauchy's criteria. So, this f n is said to satisfy Cauchy's criteria if for every epsilon bigger than 0 there exists n 0 in n such that for all n and m bigger than or equal to n 0 such that n and m bigger than or equal to n 0 this implies mod f n x minus f m x is less than epsilon and this should happen for every x in d. Suppose we had simply stopped here it would have simply meant that this sequence of real numbers f n x that is a Cauchy's sequence, but what we want is something more what should happen is that for every x in e this mod f n x minus f m x should be that means this n 0 should be again independent of x that is n 0 which should work for every x such that mod f n x minus f m x is less than epsilon. Sometimes this sequence is also such a sequence is also called uniformly Cauchy we also say that f n is a uniformly Cauchy's sequence. Now, what does what does the criteria say that if you if you are given a sequence of functions then that converges uniformly if and only if it satisfies this Cauchy's criteria. So, that is the theorem let f n from e to r be a sequence of functions then f n converges uniformly if and only if f n satisfies Cauchy's criteria or in other words if and only if f n is uniformly Cauchy f n satisfies Cauchy's criteria. Now, before going to the proof of this let me again say something which I said yesterday that is we had defined yesterday this set b of e this set of all bounded functions on e and on that we have defined a norm and metric induced by the by the norm and that metric we have called d infinity. So, what is let us recall what is d suffix infinity that is d suffix infinity of f and g this is nothing but norm of f minus g that is or which is same as supremum of mod fx minus gx for x in e and that is how that is a metric and is it is it clear that saying that our sequence is uniformly Cauchy or saying that the sequence satisfies Cauchy's criteria it is same at saying that this sequence is a Cauchy's sequence in this metric.  So, of course you know that in any metric space if a sequence converges it is a Cauchy's sequence that is true in any metric space converges true if it is a complete metric space. So, this theorem essentially says that this is a complete metric space. Now, let us go to the proof this part is relatively easy to prove that is if f n converges to f then it satisfies Cauchy's criteria again as I said to show that if a sequence converges it is a Cauchy's sequence that is a straight forward straight forwarding.  So, let epsilon be bigger than 0 then since we know that f n converges to f uniformly we can use that there exists n 0 in n such that for all n bigger than or equal to n 0 we have mod of f n x minus f x less than I can say less than epsilon by 2 and this should happen for every x in e for every x and this is a standard way of going now you take any n n m bigger than or equal to n 0 and look at f n x minus f m x. So, now consider mod of then mod of f n x minus f m x what is to be done is clear added subtract f x. So, this is less than or equal to mod of f n x minus f x plus f x minus f m x and each of this quantity is less than epsilon by 2. So, this is less than epsilon by 2 plus epsilon by 2 and that is equal to epsilon and again since this n 0 was independent of x this works for every x in e. So, whatever we have done about that n 0 should work for every x in e. So, this also is true for every x in e so this shows that f n satisfies Cauchy's criterion that is what is meant by what we want to show is that for every epsilon there exists n 0 such that whenever n and m are bigger than or equal to n 0 mod of f n x minus f m x is less than epsilon for every x in e. So, that is what we have shown now next is the other way now we assume that f n satisfies Cauchy's criterion and from that we need to show that it is a uniformly convergent sequence. So, suppose f n satisfies Cauchy's criterion now first of all what we can do is that take any x in e and consider this sequence f n x consider this sequence f n x then that is a Cauchy's sequence. So, for each x in e this is satisfied so it is same as say that this is a Cauchy's sequence of real numbers. So, then f n x is a Cauchy's sequence of real numbers. So, real numbers and real line is complete. So, once a sequence is Cauchy's sequence of real numbers it should converge to some real number that real number we shall call f x. So, and hence converges some real number we call that real number f x. So, this is this can be done for each x in e this can be done for each x in e. So, that means this defines a function from e to r. So, that is that is this defines a function f from e to r and what is the how the function is related to the sequence f n each f x is a limit of this f n x each f x is a. So, it is given by this f of f of x is equal to limit n that is to infinity f n x. But at this point we have only said that it is point wise converges because how did we construct f we started with some x and said that the corresponding sequence is a Cauchy's sequence of real numbers and hence that has a limit that limit we have taken and that limit we have called f x. So, with this construction we have only got a function f which is a point wise limit of this sequence f n. But that is not what we want what we want is a limit should be uniform limit. So, obviously if at all uniform limit exists that has to coincide with point wise limit it cannot be some different function. So, we should try to show that this is a uniform limit. So, that means we get but this is we can write this as a claim what is the claim we want to show that f n converges to f uniformly f m converges to f uniformly. Now, let us take again some epsilon bigger than 0 then what we can say is that since we already know that f n is a uniformly Cauchy's sequence that is f n satisfies Cauchy's criteria using that there exists some n 0. So, there exists some n 0 in n such that m and n bigger than or equal to n 0 this implies mod of f n x minus f m x less than epsilon and again this should happen for every x in e that is the same n 0 should work for every x in e. Now, the argument which is given after this is a fairly standard one what we say after this is that this is true for every m and n bigger than or equal to n 0. So, what we do after this is keep n fixed or one of them either m let us say suppose keep n fixed and let m vary.  So, in the limit at the most what could happen is that this may become less than or equal to. So, this is what we can say after this is keep n fixed and let m vary from tends to infinity then since it is because of this we know that if m tends to infinity f m x goes to f x f m x goes to f x.  So, that is the minor thing so, this means that f n converges to f uniformly that is given epsilon we have found some n 0 such that whenever n is bigger than that n 0 mod f n x minus f x is less than epsilon of course, this again happens for every x in e. So, again let me again comment that what this theorem actually means is that that space B e which we have taken is a complete metric space. Now, translating this to the convergence of a series we get one useful criteria for convergence of a series it is it is called Weierstrass m test Weierstrass is a name so Weierstrass m test this is a test which helps in deciding easily about certain kinds of series which are uniformly convergent or not. So, again what we do is let us let us first see what the test says the test is as follows again we take a sequence f n f n from e to r and suppose we have some numbers m n let us say such that mod of f n x is less than or equal to m n for all x in e. So, suppose in our language this is same as saying that norm of f n is less than or equal to m n because mod of f n x less than or equal to m n for each x in e this is essentially same as saying that if you look at this norm of f n suffix infinity this is less than or equal to m n. So, in particular you can take this m n as this number itself you can take m n as this number itself and this is something that you can do whatever this is the sequence given once f n is bounded we can always talk of this. So, we can always take this m n, but what we what is something more and now m n is a sequence of real numbers m n is a sequence of real numbers. So, suppose this happens and if you look at the series sigma m n n going from 1 to infinity converges then the functional series sigma f n that is series of functions then sigma f n n going from 1 to infinity converges uniformly that is what again recall what is involved there should exist some number m n. In fact this will be always a non negative real number such that for every x in e mod f n x is less than or equal to m n and the series sigma m n should be convergent that is the series of positive numbers and that is fairly easy to check because there are several tests for checking the convergence of the series of positive numbers. So, that can be checked very easily and then if that happens we can conclude from this vice truss m test that sigma f n converges uniformly. For example, suppose something like this you take the series sigma n going from 1 to infinity let us say sin n x by n square that is a series of functions and what is the obvious choice of m n here 1 by n square because each of this is not sin n x is less than or equal to 1. So, each of this is less than or equal to 1 by n square and sigma 1 by n square converges that is a well known thing sigma 1 by n square converges. So, this series of functions converges uniformly and this way you can check the convergence uniform convergence of a series in a fairly easy manner. So, that is the idea of vice truss test these numbers m n you can calculate in most of the cases. Again remember we do not have to have m n to be exactly equal to this it can be any number bigger than or equal to this all that we need subsequently is that sigma m n should be convergent. So, let us look at the proof of this test it depends basically on what we have proved just now that a sequence converges if and only if it satisfies the Cauchy criteria. So, all right there are as you know anything that you want to talk about a series has to be talked in terms of its partial sums.  Now, to show that this series converges uniformly it is same as saying that this sequence S n converges uniformly that is what we want to show right. So, this is what we want to show S n converges uniformly. Now, by using the last theorem we have seen that to show that the sequence converges uniformly it is sufficient to show that it satisfies the Cauchy's it satisfies Cauchy's criteria. So, that is what we shall show we shall show that it satisfies Cauchy's criteria all right. Now, to look at the Cauchy's criteria we will have to look at S n minus S n right that is we have to show that for every epsilon there exist n 0's that whenever n and m are bigger than or equal to n 0 mod of S n x minus S n x is less than epsilon. So, first of all let us calculate what is S n x and S n x are. So, S n x minus S n x this is same as S n x is because S n x is same as f 1 plus f 2 plus f n and S n x is same as.   So, we can say that this is same as sigma let us say j going from m plus 1 to n f j x. So, let us take the absolute value then this will be less than or equal to mod f j x right and what do you know about this mod f j x that mod f j x is less than or equal to m j for every x in each. So, I can say that this is less than or equal to sigma j going from m plus 1 to n m j for every x in each. Now, what can you say about this number sigma j going from m plus 1 to m n we know that sigma m n is convergent sigma m n is convergent that is same as saying that T n is. In fact, this is nothing but this number is nothing but T n minus T n right and since sigma m n is convergent is same as saying that T n is convergent right, but if T n is convergent it is Cauchy it is a sequence of real numbers. So, now the argument after this is standard what you can say is that given any epsilon you can always find n 0 such that whenever n is bigger than or equal to n and m are bigger than or equal to n 0 T n minus T m is less than epsilon and if what T n minus T m is less than epsilon it shows that mod s n x minus s m x is less than epsilon for every x in each which is same as saying that this essence satisfies Cauchy's criteria and hence converges uniformly. So, so far we have just discussed what is meant by uniform convergence of sequence or series and how to check in particular Cauchy's criteria and this Weierstrass m test. By the way this Weierstrass m test is a very practical and useful test and using this you can check the uniform convergence of the series of functions in several cases. Now, let us go back to our earlier problem what we wanted to know was that if each f n has certain properties then does it follow that the limit f also has the same properties at least under the condition of uniform convergence. We have seen that under the point wise convergence that is not true. So, let us now check about uniform convergence. Now, if you look at the properties like continuity then see till now we have taken this set e to be any arbitrary set we did not bother about what that set e was, but to consider the properties like this we if we want to talk about the limit or continuity etcetera then the whole thing has to happen inside some metric space. So, now we will take the set e to be a subset of a metric space. So, so let us say that let us say that x d is some metric space and of course, subsequently when we want to discuss the differentiability integrity etcetera then we will have to take it as a subset of a real line in fact an interval, but for the continuity still we can take any arbitrary set in a metric space. So, suppose e is a subset of x and f n is from e to r and f is also from e to r and f is also r and suppose f n converges to f uniformly then what we want to say is that if each f n is continuous then f is also continuous, but instead of proving that directly since the definition of continuity involves the limits we shall prove something about the limits and then whatever we want to say about the continuity will follow as a crawling. So, let us say that suppose this f n has a limit as some point. Now, to talk about the limit suppose I take this point x and I want to talk about the limit as f n tends to let us say as t tends to x then for that this x does not have to belong to e you know that for talking about a limit the point at which you are talking about a limit does not have to be in the domain, but what it must be is that it must be at least a limit point because in every neighborhood the function should be defined though it need not be defined at the point x etcetera. So, let us say that suppose f n tends to f uniformly and x is a limit point of e and x is a limit point of e and let limit suppose for each f n limit of f n t as t tends to x exist. Suppose for each f n limit of f n t as t tends to x exist and suppose we call that limit as l n suffix n then what we want to say is the following that this sequence l n converges and suppose l is that limit then limit of f t as t tends to x also exist and that limit is same as the limit of this l n. So, then limit l n as n tends to infinity exist that is this is a convergent sequence also limit of f t as t tends to x exist and both the limits are the same and limit of l n as n tends to infinity is same as limit of f t as t tends to x that is limit of l n as n tends to infinity that is this is n as n tends to infinity is same as limit of f t as t tends to x.  So, suppose I write that here that is limit the left hand is same as limit as n tends to infinity of l n is limit as t tends to x of f n t and this is equal to limit as t tends to x and f t is nothing but limit of f n t as n tends to infinity because that is what we assumed that f n converges to f. So, f t is nothing but limit as n tends to infinity of f n t. So, if you look at this last equation you will understand what I said right in the beginning by discussing about uniform convergence what we are saying is that if f n converges to f uniformly these limits can be interchanged here you are taking limit as t goes to x first and then limit as n tends to infinity whereas it is here it is other way here you are taking limit as n tends to infinity first and then taking the limit as t goes to x of the same quantity f n t. Now, let us prove these things one by one first thing to prove is that l n converges that is limit as n goes to infinity l n exists. But l n is a sequence of real numbers l n is a sequence of real numbers. So, to show that it converges it is sufficient to show that it is quotient and that we can show by using that since f n converges to f uniformly it is also a uniformly Cauchy sequence. So, let us let us start with that. So, let us say let epsilon be bigger than 0 then there exists n 0 in n such that n and m bigger than or equal to n 0 this implies mod f n t minus f m t this is less than epsilon this less than epsilon for every t in e for every t in e. Now, since this is true for every t in e we can let t goes to x this inequality satisfied for every t. So, it will be and we know that limit of this as t goes to x exist that is l n limit of this as t goes to x exist and that is l m. So, l n minus l m may not be strictly less than or equal to epsilon in the limit at the most the inequality need not remain strict, but it will remain less than or equal to. So, we can say that letting t tends to x letting t tend to x we have mod l n minus l m is less than or equal to epsilon. Now, that shows that this is a Cauchy sequence that shows this is a Cauchy sequence. So, this implies that l n is a Cauchy sequence l n is a Cauchy sequence and since it is a Cauchy sequence of real numbers it is a Cauchy sequence of real numbers and hence it should converge to some real number and hence converges to some say real number l belonging to R. So, we have shown this first requirement that limit of l n exist and suppose now and we have called it limit as l. Now, what remains to show that that number l is same as this limit of f t as t tends to x let us go to that now. So, to show l is equal to or let me write this limit as limit of f t as t tends to x is equal to l by the way it is a standard convention in analysis you would have come across that is this equation means that this limit exist and is equal to l it means both the things that this limit exist and limit is equal to l that is the meaning of this symbol. So, once we show this it is that once we show this then everything is proved that is once we show this this equation is proved this conclusion is proved and this is nothing but rewritten we have rewritten the same thing in a different manner. So, this is nothing new now the proof of this equation is again follows a very standard technique used quite frequently in analysis sometimes known as 3 epsilon proof or epsilon by 3 proofs etcetera. Basic ideas you just add and subtract some terms see what is the idea we want to show that the limit of l limit of f t as t tends to x is equal to l. Now, by definition what does it mean that given epsilon you should be able to find some delta such that whenever distance between t and x is less than delta distance between f t and l is less than epsilon. Now, that means that means what does it mean practically we want to show that this difference f t minus l is small this difference can be made arbitrarily small that is what we want to show by taking t as close to x as you want. Now, we know nothing about the difference mod f t minus l, but we know the difference about several other things by whatever we assume. So, basically we add and subtract those terms for example, we know that mod f t minus f n t can be made small.  So, if you go t to x this can be made small and then finally, if you look at l n minus l this also can be made small if l n is close to if l n is sufficiently large the difference between l n and l is small.  So, we want to choose delta in such a way that this becomes less than epsilon. So, we shall make the arguments in such a way that each of this term becomes less than epsilon by 3 or if you make each of is less than epsilon the whole thing will become less than 3 epsilon that also does not matter. So, that is why such a thing is called a 3 epsilon proof or epsilon by 3 proof or whatever basic idea here is that you add and subtract some terms.  So, we will begin with this let epsilon bigger than 0 be given we want to make this whole some less than epsilon. So, we will try to make this whole thing this less than epsilon by 3 this less than epsilon by 3 and this is less than epsilon by 3. Now, out of this this and this will become less than epsilon by 3 if n is sufficiently big. So, that choice we will make first that choice we will make first. Now, we can say that there exists let me call to begin with there exists n what if n such that n bigger than or equal to n 1 implies mod f t minus f n t is less than epsilon by 3 is less than epsilon by 3, but one more thing is important this happens because f n tends to f uniformly this happens for every t in e this happens for every t in e. Then since l n converges to l we also say that there exists n 2 in n such that n bigger than or equal to n 2 implies mod l n minus l is less than epsilon by 3. So, now, if you take some n which is bigger than or equal to both of these say maximum of n 1 and n 2 then for that n both these inequalities will be satisfied. So, consider some such n. So, let so consider some n bigger than or equal to maximum n 1 and n 2 then for that n this is less than epsilon by 3 for every t in e and this is also less than epsilon by 3. What remains is this what is to be done about this now we will now look at only for that particular n this n which we have chosen this n which we have chosen for that n look at f n t minus l n. Now, f n t minus l n will become small if we if t is sufficiently close to x if because that is what we have showed that limit of f n t as t goes to x is. So, now, what you do is choose delta in such a way that whenever distance between t and x is less than delta this difference is less than epsilon by 3. So, we can say now what we can say is that for this n since limit of f n t as t goes to x is equal to l n there exists delta bigger than 0 such that wherever the distance between t and x is less than delta distance between t and x is less than delta this implies mod f n t minus l n is less than epsilon by 3. Now, the proof is more or less over what so given epsilon we have found a delta such that whenever distance between t and x is less than delta mod f n f n t minus l n is less than epsilon by 3 mod f n t minus l n is what is this n what is this which n or what is this f n this n is some number which is bigger than this n 1 and n 2 this n 1 and n 2 we have already chosen. Now, once this is the case since for this n is bigger than or equal to n 1 and n 2 for that particular f n mod f t minus f n t is less than epsilon by 3 this is less than epsilon by 3 and this is also less than epsilon by 3. So, this whole thing is less than epsilon. So, that means we have given epsilon we have found a delta such that whenever distance between t and x is less than delta mod f t minus l is less than epsilon that is same as saying that that is same as showing this. So, that proves this theorem completely again what is the theorem that if the if the each of f n has a limit as t goes to x then f also has a limit as t goes to x and that limit is nothing but limit of this l n. Now, as a simple corollary we can say that if each f n is continuous then f is also continuous. So, we can say that as a corollary of this under the same hypothesis that what is hypothesis that suppose f n tends to f uniformly suppose f n tends to f uniformly then in fact this can be stated even at a point, but let us say what a point if f is continuous if f if each f n is continuous f n is continuous either we can say at some point x in e or at all points x in e it makes no difference in the proof. Let us say if each f n is continuous to begin with let us talk of some point continuous at some x in e, but this time I am taking x in z there I had taken just the limit point x in e then f is continuous at x in e and in particular if this happens for all points that is that means if f n is continuous at all points in e f is also continuous at all points in e. So, in particular if do you use this notation c of e you are following set of all continuous real valued functions on e that is c of e that is f from e to r f is continuous. So, instead of saying inverse that each f n is continuous at all points x in e I will simply say if f n belongs to e for all n f n belongs to e for all n then f belongs to not not f n e c of f n belongs to c of e for all n then f belongs to c of e. In fact, this says something about this space c of e, but I will come to that little later first of all let us prove this scrawling you can say that proving this scrawling is nothing really different that is suppose let us let me again look at this instead of say now here instead of say that x is the limit point of e we are now taking x belongs to e we are now taking x belongs to e. Now, what is the meaning of saying that f n is continuous at x it means that this limit of f n t is t tends to x that is nothing but f n of x then. So, this l n this will be changed to f n of x and what is the conclusion it means that that the limit of f n x exist then limit of f t as t tends to x exist and that limit that limit is nothing but see remember this l n is nothing but now l n is nothing but f n of x limit n tends to infinity that is limit as t tends to x of f t that is same as limit n tends to infinity f n of x. But, what is limit n tends to infinity f n of x that is same as f x because we have assumed that f n converges to f. So, this is nothing but f of x so that means limit as t tends to x of f t is same as f of x which is same as saying that f is continuous at x. So, essentially all that we do is we apply this theorem at the point x we apply this theorem at the point x and then get that if each f n is continuous f also must be continuous only I use this if f n is continuous at x is same as saying that this l n is nothing but f n of x and you just use that here you get that limit of f t as t tends to x is f x that shows that f is continuous at x. Further if this happens for all points x in e then f also must be continuous at every x in e that is the things say nothing extra that is once we show that f is continuous at if each f n is continuous at some x in e then f is also continuous at x in e. So, if the first statement is true for every x in e this also should be true for every x in e that is all now coming back to this notation let me again go back to this metric space set of all functions which are bounded in e with respect to this matrix d suffix infinity we have shown that this is a complete metric space that was the beginning. Now in general if you take any arbitrary set e in a metric space and then every continuous function need not be bounded, but if you put an extra condition that e is a compact set then you know that every continuous function is bounded. So, now let us consider that suppose e is compact then this c of e then saying that every continuous function is bounded it is same as saying that c of e is a subset of b of e then c of e is a subset of b of e do you agree. In fact this is nothing but saying that every continuous function on compact set is bounded this is nothing but saying in the words since e is compact every continuous real value function is bounded. Now what does this theorem say about c of e look at this last statement if each we have already seen that uniform convergence is nothing but convergence in this metric uniform convergence is nothing but a convergence in this metric. So, what does this theorem say that suppose you take a sequence f n in c e and if f n then obviously each of this f n must be in b e and if f n converges to f in this metric then that f also belongs to c of e what does that mean that this c of e is a close subset that c of e is a close subset of this metric space. But suppose you know that metric space is complete and if a subset is closed then what can you say about that subset that is also complete. Now you cannot say it is compact but it is it is complete you can always say it is complete. So, a close subset of a complete metric space is again complete. So, what this theorem says or what this chronology says that c of e is a close subspace or close subset of b of e. In fact, we can also say close subspace because the c of e if you regard this b of e as a vector space c of e is also a subspace because c of e is also a vector space it is a subspace and it is a close subset or if you want you can say subspace of b of e and hence complete. That means what we have shown is that means if you look at this space whenever e is compact if you look at this space c of e with respect to this metric this is a complete metric space this is a complete metric space in particular spaces like c of a b with this metric supreme metric given by the supreme now this is a complete metric space. Now sometimes we are also interested in knowing see we have seen an example that every uniformly convergent sequence is point wise convergent, but the converse is false in general the converse is false. So, sometimes we also want to know what additional conditions can be put on a point wise convergent sequence. So, as to make it uniformly convergent there is one very well known theorem in that direction that is called denies theorem. What it says is that if the sequence is monotonically increasing or monotonically decreasing and if it is point wise convergent then it is also uniformly convergent, but this is something we shall prove in the next class.


It's been said time and time again. Morning routines are very important. Whether it's our parents telling us how vital a hearty breakfast is, or various online articles that talk about the best morning routines, the idea that efficiency is crucial when we start our day is a much echoed one. The real question, though, is whether or not there is any scientific evidence to back these claims. What's happening to our brains when we first wake up? How does that affect our morning routines? These questions will be answered in this detailed video. It is genetic. It's important to understand that morning routines are often out of our control. How? Well, many psychologists share the theory that genetics determine whether you're a morning person or a night owl. That means that no amount of organization, planning, or getting up early is going to make your morning routines easier to handle if you're a night owl. So instead of fighting against your genetics, you should be working with them. Till Rohnberg, who wrote a book on the subject called Internal Time, Chronotypes, Social Jetlag, and Why You're So Tired, shares this premise. He and other psychological writers have popularized the belief that each person is better at certain tasks at different times of the day, and so it's up to you to learn about yourself and organize your day accordingly. The Night Before Your morning routines should start the night before.  If you don't function well in the mornings, you can save yourself a lot of stress and more importantly, time by setting things up the night before. This could include setting out your outfit for the day, packing your lunch, or making sure you have everything you need in your bag ready to go. You should also allow yourself to relax in the evenings.  Leaving some relaxation time before bed will leave you feeling more well rested, allowing you to function better in the morning. Consider setting a regular bedtime for yourself too. A study published by Cardiff University in 2017 showed that sleeping at the same time you tonight reduces stress in teens. Choose Your Meal Carefully Your parents were right about one thing. Breakfast is the most important meal of the day. Having a good breakfast in the morning will not only aid your body during the day, but also your mind. The American Journal of Clinical Nutrition revealed the importance of eggs in a good diet. They studied more than 1,400 men and women and those who consumed choline, which is vitamin B in eggs, performed better in memory and verbal tests. Blueberries are another great option for a strong breakfast, as are almonds. The American Journal of Epidemiology released a study that shows that vitamin E, which almonds have in abundance, can help with reducing cognitive decline, especially with elderly people. European Journal of Nutrition also released a study that showed that men and women who ate almonds early in the day were less likely to feel hungry later in the day. Eating almonds are excellent at satisfying your appetite. Get Your Stressful Tasks Done in the Morning There are actually three different types of people when it comes to their preference for the time of day. The first is the standard type, people who work equally well during the night and the morning and have no preference for when they work and function well. These people's circadian rhythms are normal. The second type, the so-called morning person, functions well in the morning and they fit in perfectly with the typical workday of 9-5. The last type are the night owls, who function best at night, meaning they're fighting a constant battle against society's norm of getting up early and finishing work before the evening. These people are more likely to develop stress and emotional instability. The only type of job that would lead to less stress for a night owl is one that involves starting work late and working even later, the so-called graveyard shift. Despite all these differences, these distinct personalities might have more in common than previously thought. A German study done by the University of Würzburg showed that although night owls had poorer sleep quality and were generally less healthy, both night owls and morning people could not handle stress very well in the evening and were much better equipped to deal with it in the morning. So whether you're a morning person, a night owl, or anything in between, try to get your stressful tasks done during the morning. According to studies, this will be a lot easier than trying to do it at night. Be creative in the morning. Recent studies have called into question the logic of rushing and being as efficient as possible during our morning routines. These studies have shown that organizing your mornings down to the most minute details can actually be detrimental to your creativity. In the Psychological Journal, Thinking and Reasoning, researchers Mariek Wieth and Rose Zaks presented evidence that creative thoughts are most likely to occur when we're groggy, unfocused, and tired. In other words, you're most likely to come up with the new ideas when you first wake up. Maybe we should stop putting so much focus on waking ourselves up in the morning. Maybe we should stop placing so much emphasis on increasing our focus levels right after we wake up by doing exercises and getting ourselves in the zone. If you really want to be creative in the morning, take your time, and don't be afraid to zone out for a few minutes. Meditation Seriously consider adding meditation each morning to your early morning routine if you want to help your functionality during the day. This isn't just some New Age nonsense, as the power of meditation is backed up by science. Many studies have shown the incredible effect that meditation can have on the brain. One study by William Margent was released in 2014 called Neural Mechanisms of Mindfulness and Meditation. The study showed that meditation stimulated the medial cortex, default mode network, insula, amygdala, lateral frontal regions, and basal ganglia, all areas involved with higher brain function. We hope you've enjoyed the six pointers we've discussed to help you function at your best. So, are you a morning person or a night owl? What adjustments are going to make your morning routine more productive for your overall day? Share your views in the comments section below, and don't forget to subscribe!


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The breaking news that we're all familiar with at this point is that Russell Wilson has been traded to the Denver Broncos in exchange for a plethora of picks. Let's go ahead and show you the details right now of that trade, what the Seattle Seahawks acquired and what the Denver Broncos acquired. So showing you guys the ransom I should say that the Broncos gave up for Russell Wilson. The Seahawks received Drew Lock, Noah Phant, Shelby Harris, two first rounders, two second rounders and a fifth round pick for Russell Wilson and a fourth rounder. By the way throughout the duration of this video leave your comments down below. Let me know in the comments who won this trade. Was it the Denver Broncos? Was it the Seattle Seahawks? I think given the Matthew Stafford Jared Goff trade between the Rams and the Lions from last year this is very uh I would say equivalent to something like this but the Broncos gave up a lot more in this instance but it kind of matches and mimics what the Rams did in trying to get a Super Bowl contending team. So leave your comments down below and let me know your thoughts. But we're asking the question in this segment right now, are the Denver Broncos contenders following the Russell Wilson trade? My opinion, yes. The Broncos are contenders now because if you think about it, everybody was talking about in the offseason, if Aaron Rodgers went to the Broncos, how would the Broncos be? Would they be Super Bowl contenders? A lot of people would say, yeah, they are because of Aaron Rodgers and how much he upgrades that team. Well, didn't work out with Rodgers. He stays in Green Bay. Now John Elway has his eyes set on Russell Wilson bringing him in to be their next franchise quarterback. John Elway has this thing with veteran quarterbacks. I don't know what it is but he likes to trade for veteran QBs. It started with Peyton Manning, one of the best quarterbacks in NFL history. You're available. I want you on my team. Worked out with him. Had a Super Bowl victory out of it. Then after that, didn't really work out. Joe Flacco didn't work out. Case Kenham didn't work out. Teddy Bridgewater didn't work out. And then finally, he had a epiphany. He had a realization looking at the Los Angeles Rams winning the Super Bowl in 2021, going all-in. Less need, General Manager wearing a t-shirt that says, FM picks. We don't care about the future. We want to win right now. John Elway had that realization. Why am I settling for average when I can bring in one of the best quarterbacks in the NFL? Why am I settling and bringing in an average quarterback and trying to build around him when really the quarterback could be the one that helps catapult this team to an above 500 team, to a playoff contender, to a Super Bowl contender? Here's why the acquisition of Russell Wilson makes Denver Broncos a Super Bowl contender. Number one, you were just a quarterback away. That's it. You have the offensive line. You have the wide receivers. Jerry Judy Cortland Sutton. Tim Patrick. Great. You have the running backs impending what Melvin Gordon does. If he leaves, that's okay. Giovanni Williams could beat your three down back. But if you resign Melvin Gordon, that's a plus. You have the defense already. Patrick Surtan, one of the best young corners in the NFL that not a lot of people realize this, shut down a lot of top receivers in the NFL last year. Tara McLaurin, Jamar Chase. Jamar Chase probably only had one bad game last year and was because he was lined up against Patrick Surtan. So they got the talent there. They got young pieces there. And they were just a quarterback away. And now they acquire Wilson, their franchise quarterback for at least the next five years or so. Another reason I say that the Broncos are in a good spot and why they won this trade is because of their salary cap. I would say they're probably, don't quote me on this, but probably top 10, top 12 in the NFL. They have $26 million available that they could use to spend on impending free agents. Now what that means is a lot of these players could take the route of when they signed with the Tampa Bay Buccaneers, kind of similar to that when Tom Brady went to the Bucks. Everybody was taking discounts to go to that team so they can win the Super Bowl. Leonard Fornette, Discount, Nedomokong Tsu, Discount, Kornkowski out of retirement, Antonio Brown. Like a lot of players took that discount knowing that they could win that Super Bowl. And I think in the free agency, I wouldn't be surprised if some top players out there, like they need some help in the secondary, Marcus Williams, for example, could be like, yeah, I'll accept two, three million dollars less just so that I can go to Denver knowing that you have a Super Bowl contending team. There's got to be a lot of players out there like that. Now they did give up quite a bit, including the draft picks, but let's just walk through it real quick. The draft picks, like I said, it's about the future. Not really worried about the future. Let's just focus on 2022. Alright, for 2022, you lost Shelby Harris. Yeah, that's kind of a loss, but we can make up for it in a free agency in the draft. You lost Drew Locke. Not that big of a deal. You give up one quarterback for a better quarterback? No offense. The tight end. Very talented first-rounder from a couple years ago. Give him up, but that's okay because you have Albert Okwakbunam. Hopefully I pronounced that correctly. Very talented tight end. 23 years old. It's going to be a starter in Denver. They didn't give up much. The Denver Broncos won this trade, in my opinion, by far, and I think that the Broncos are in a position to make the Super Bowl at least content for it in 2022. The only thing that could really hurt them and hold them back is it's a tough division. The AFC West. The Raiders last year, very good team, and you could consider it the Raiders at this point are the worst team in the AFC West after the acquisition of Russell Wilson. Think about that for a second.  Chargers didn't make the playoffs, so you could say that they could be the worst team in the division, but you know about Justin Herbert, the young offense, they're just up and coming. They're going to be contending for a playoff push as well. Patrick Mahomes and the Kansas City Chiefs making the AFC championship game by far one of the best teams in the NFL. So it's going to be tough for the Broncos. If they do fairly well in the division, I don't think it's out of the question that the Broncos can make it far in 2022. So leave your thoughts in your comments down below. Let me know your opinions are the Broncos Super Bowl contenders.


Think Tech Hawaii. Civil engagement lives here. Aloha. Welcome to What's on Your Mind Hawaii. I'm Tim Apachella. Hawaii's main economic driver is still tourism. For 2018, tourist arrivals continue to visit our shores in increasing numbers. To date, it stands at 6% increase from 2017. Last year, 9.3 million visitors came to our estate. What would happen if those numbers would start to fall? What factors could contribute to the reversal of robust tourist visits? In a word, crime. A rash of crime events have made their way onto the pages of the Star Advertiser in the last many weeks. Specifically, articles of a Japanese tourist seriously beaten in the face in Kakako. A purse-snatching, a female tourist punched in the face at Kohio Beach. A female tacked and slashed with a box cutter in front of longs on Kawakawa. What did these events have in common? They all occurred in the midday, in broad daylight. Nighttime can be worse. A murder of a 23-year-old Marine, William Brown, visiting from New York. A 20-year-old female, beaten, raped and burned outside a Waikiki nightclub. For decades, locals and some returning tourists know that after midnight, it's best to watch where you go in Waikiki. The visitor to Aloha Society of Hawaii helped 1,640 victims of crime in 2017. In January of this year, the Department of Defense issued a list of several establishments in Waikiki that soldiers and sailors were not allowed to enter. That list was published in the Star Advertiser. That list was deemed bad for business, bad for profits. Is a police presence enough in Waikiki? Is there enough presence in the daytime? If more news stories about brutal assaults or murders persist, how long will it take before tourists take note and maybe fly somewhere else? Our interview with a local resident explores the lack of awareness tourists may have when they come to Hawaii and other aspects of crime in Waikiki. We'll also follow up with a dog owner to discuss the recently passed law, Senate Bill 2416, in the last legislative session, this law prohibits any attempts to pass off a pet as a real service animal. With fines from $100 to $500, this new law may be prompting a few pet owners to take note. And now, those interviews. Aloha, this is Tim Apachello for What's On Your Mind Hawaii for Think Tech Hawaii. I'm here today with speaking with Jeffrey. We're down here at the beaches of Waikiki. And the topic of the day is some recent reports in the news regarding some crime, mid-day crime here in the Waikiki area. Jeffrey, thank you very much for agreeing to be on our show. Appreciate it. So, Jeffrey, we were talking before this interview about some recent news stories that have come into the paper. And it's not just crime that's after midnight, but in some cases, this is crime that's occurring here in Waikiki in the mid-day. Have you read about those stories at all? Not as of recently. You know, I've been here for a couple years now, and it's usually reports at night. You know, it's that after dark. It's, you know, nothing happens good after 12 o'clock at night, which my dad always told me. However, it's concerning more now than ever that it's happening during the day. As a resident here in local, it's disheartening to hear that.  To have mid-day, you know, beatings and or thefts, it's very concerning for everyone. It should be concerning to the state, to the immigrant, to people at home, you know, everyone, especially now here at the beach. We're associated with a tourist agency, so you know how easily tourism can be affected by bad news stories. And before this interview, we were talking about your time in the Cayman Islands and other places, you know, where the tourists like to go. And so, to what degree do you think a news story could actually dampen or actually hurt tourism?  I've seen it happen on the cruise lines in Cayman. I've seen it happen in Mexico recently with Tulum and Cancun that has deterred foreigners from coming there, you know. And having a million, you know, millions and millions and millions of dollars that is revenueing this state, it's very, very concerning. You know, it's not only that it should be reported on, but it's more of, you know, what are we doing to solve it? You know, that's the big issue. Like, how can we, how can, me and myself, how can we get this solved? You know, what is the state doing? What is, you know, the police doing? Is there more increase in patrolling in the area? That kind of certain thing. Well, that's a good point because, I mean, we know that tourism is the largest industry we have. And we know that we'd love to have other industries that kind of diversify our economy, but tourism is it still? So the question is, to what degree is the state, the city county of Honolulu, trying to address these midday crimes that does not affect, are basically the most important industry we have, not only in Oahu, but the entire state? Making it more aware to the local population, so then it does spread, you know. Social media, how it is right now with Facebook, Instagram, that kind of thing. Using platforms like that to tell people that it is still a loha. You know, we are doing the best of our ability, you know, as the state of Hawaii run and to, to nip this in the butt to, you know, we're going out there at extra lengths and measures to make sure everyone's safe and having a good time. Yes, part of the irony is that we had a midday assault right at Kohio Beach, yet the Honolulu police station is stationed at Kohio Beach. And then, of course, I did a show earlier about the shade pavilions and all the crime and alleged drug activity that's going on under the shade pavilions and there's a bill proposed by Trevor Azawa, a council member, to pull those shades out of there so that will expose the sun and there won't be this haven, alleged haven for drug usage. I guess the question is, is that really the solution or you suggested more activity, more visibility of the police department here on the streets of Waikiki? Yeah, you know, more good news. You know, there's no point being negative about, but it is, it's important to tell the public what's going on, but it's more important to tell them what we're doing about it. That's the most important thing to me, knowing that, you know, there are more police officers vigilantly going around town and cracking down on, you know, maybe not the homeless, but the troublemakers and the bunch, you know. I don't want to sit here and tell you that, you know, there is a homeless problem here, but there's a lot of circumstantial reasoning why they are homeless.  Well, to Mayor Caldwell's credit, he did initiate a sit-and-lie ban here in the Waikiki area and then he's expanded those zones. And, you know, that has helped as far as the sidewalks and people panhandling on the sidewalks and things like that. That actually, I think, was a good thing to make sure our tourism continues on the way it has, and it has. I mean, our tourism is growing. The question is, does a sit-and-lie bill actually stop crime? And I would say probably not.  It just says you can't sit and you can't lie. Any thoughts about that? You know, the weather here, and because of where people live, where we live here, it makes it easier. I was telling you before, St. Thomas has similar characteristics to Hawaii where you can take that one-way ticket here to Paradise, and you don't have to leave. The example was I was in Maui and I landed and the two gentlemen were getting off the plane, and I asked them, you know, what were you guys up to, where you headed? And, you know, they had two backpacks and had no clue, which is glorious in some ways, but then you just hope that they don't end up in a sit-and-lie situation where then they are attracting and they're panhandling and they're disrupting the beauty and culture of Hawaii. Well, that's a good point. And it actually points in a direction of what is the average awareness of the average tourist that comes to Hawaii, Waikiki, or wherever, no matter what island, to what degree are they informed about some of the cultural issues that they should be attentive to, but also what are some of the, you know, the current events of the day? Are they attuned to what's going on with crime or things of that nature? And I think that's usually a problem that people aren't usually tuned into that because they're so busy trying to get ready for the trip that they're not really paying attention to those sort of details. Well, you'd have to look far and long or wide to not know someone who's seen a postcard of this beach behind us here, you know?  And I think that people are, they overlook some issues which may help the industry here. You know, if people were more aware of it, maybe it would deter them from coming. But it's not about the deterrence, it's about progress moving forward. You know, that forward movement of, no, there is less panhandling than 10 years ago. Which I was here 10 years ago, I would, it's hard for me to say. I don't think there is. I think it's about the same. I don't think, if you walk down Waikiki Strip here, there's acts going on, it's a busy, busy area. Again, it's, I can't imagine the law enforcement in the, their ability, what they're doing is great. It has to be the most difficult thing in the world, you know? I have no idea what clue to how to deter that. But just knowing the steps involved and that they are making jumps and leaps and bounds towards a bigger and better Hawaii would be great. Well, we all know that crime statistics ebbs and flows. It's up, it's down, statistics are just that, they're statistics. And there's averages, there's median, you know, meat statistics. So we may be at a period where right now maybe the media is just picking up something that's always been occurring. And it's just being picked up on and being put on the front page more and more, more and more than normally. That could also be what's going on here. So before this interview also, we were talking about, you know, some of the causes of crime, particularly in tourist zone areas. And you had mentioned that, you know, perhaps we have some issues relating to drugs and addiction. Do you think that's, that's part of this? Very much so. I would say when you have a small area with bars and restaurants and that, that vibe that Waikiki and Honolulu gives off. You have that late night party goers. You have those people on vacation wanting to take and have, maybe have that extra drink. Maybe have those extra five drinks. That then causes, it causes a disruptions and it causes, you know, things behind the scenes to happen. You know, the bad, you know, the stuff after 12 o'clock that you maybe not, you don't want to see out. And that's, and that's what people thrive on.  It's not, but I think that when you have high tourist density in a small area, you do have a pickup in nightlife. And there's just a lot, there's a lot going on and not all of it's good.   Do you think there's a common solution or perhaps something that can alleviate some of the tourist crime that occurs here? It's all about deterrence.  That's the biggest thing. You know, if people are scared to do something, they're more inclined not to do it.  That's when you have serious problems and that, and that stems, you know, further and deeper than, than most, you know. Yeah. Well, in my mind, part of it also is a proactive education of tourists. Even before they set foot in the airport, the land at the airport is maybe there's no ability or opportunity to say, oh, by the way, and not only just with crime, but also just water safety. I know that Hawaiian Airlines are now actually having some proactive statements in their video before the airplane lands about water safety. Hiking. You get a lot of hiking accidents. And I'm not saying that tourism's don't realize that the law of physics don't apply when they're on vacation, but sometimes it seems that way.  So to what degree do you think the stage or the city and county of Honolulu should try to take proactive measures to try to educate tourists rather than have a reactive response to something that could either be tragic or, you know, a misfortune? You know, that's a great point. And I think that using Instagram and Facebook and all these social media apps, maybe if they can get that word out that you're saying that, you know, water safety is a priority. Policing is a priority here. Using those apps in that media that's essentially free and that people are using more now than ever before can help. I think that I think that it would go a long way, especially with some, you know, posts, you know, about Hawaii and, you know, about the culture and history. But then also the day to day stuff, you know, the current situation of 2018 Hawaii. That's, that's, that's important as well. You mentioned the social media. That's a great idea. And maybe in conjunction with the hotel industries and the airline industries, everything that kind of intersects with tourism and where tourists are getting their information about even tours itself. I mean, you're, you're in that industry and to what degree would anyone get involved to try to educate something that isn't exactly positive, but very important. You know, in the tourist industry, and I think those listening and watching can tell you that if you asked me a place to go, I would tell you where to go, how to do it, and then I exactly where not to go. You know, and that's a good and a bad thing, you know, places that I wouldn't go. I would tell them that, but I'm also a realist now, and I'm truthful to people as well.  You don't want to, especially when it comes to safety.   Well, there's that fine line between balance. I mean, I remember the military actually publishing in the Star Advertiser a number of drinking establishments that were now off. Were a warning to the military about places to avoid. And I won't mention any names right now, but they were published in the newspaper. And boy, was that news story squashed very quickly after that because, again, tourism is such an important economic driver to our state. That was kind of not a good news story, but it was an important story. And, you know, and that, and that warning list was actually a public service to those, you know, those military personnel that are going to come into Waikiki. So how do we gauge that balance? How do we, how do you think we try to balance information and, you know, helpful information versus trying to scare the tourist and drive away the tourist? It's about being truthful in all sorts of the matter, you know, truthful in statistics. What are the current statistics of, and demographics of Waikiki, of Honolulu, of Oahu itself?  You know, if you get those statistics out there to the people, maybe they'll, maybe they'll make, it'll be a deterrent and they'll make a better choice when they do come. You know, that's a good point because the police often say we can't combat crime if we don't know what's occurring. The only way we know what's occurring is because people need to report it. It becomes a statistic and then we can, then we can respond to that data. So that's, it's a good point that you brought up.  What would you say to city council, to the mayor's office about maybe what can be done a little bit better here in our home, our community about, you know, these unfortunate stories are starting to take place about crime in Waikiki. And this whole area. That's a great question. If I, if I was personally in front of the city council, you know, I would first just tell them that I'm, I'm grateful to live here. I love the culture. I love the aloha. I love the spirit of Hawaii.  You know, and let's keep it that way. You know, I would say that there's nothing right now that's, that's negative that they're doing that maybe say that they're not doing enough for this or that, or I know the solution. That's not it because I don't. But I would say that letting people, keeping people informed is the route to having them come back. You know, hey, we're going to make it better.  I hope you had a great time. You know, Mahalo, thank you for coming.  You know, I've been coming to Dukes here for more than 10 years right in front of Waikiki because this is, this is, this feels at home. It feels like a good place where I can, I can sit here and have a beverage and, and relax. So to them, I would say, you know, thank you for everything and just, just keep everyone informed. Well, if I was on the council and I heard that response, I'd suggest you throw in your nomination for the next council position. So Jeffrey, thank you very much for being on What's on Your Mind Hawaii. Appreciate it. Thank you very much. This is Tim Apachella for What's on Your Mind Hawaii for Think Tech Hawaii. Aloha. All right. Well, that's our first interview. So we're going to take a commercial break and we'll be right back. And Aloha. My name is Calvin Griffin, a host of Hawaii Uniform. And every Friday at 11 o'clock here on Think Tech Hawaii, we bring in the latest in what's happening within the military community. And we also invite all of your response to things that's happening here. For those of you who haven't seen the program before, again, we invite your participation. We're here to give information, not disinformation. And we always enjoy response from the public. But join us here, Hawaiian Uniform, Fridays, 11 a.m. here on Think Tech Hawaii. Aloha. Hey, Stan Energyman here on Think Tech Hawaii. And they won't let me do political commentary. So I'm stuck doing energy stuff, but I really like energy stuff. So I'm going to keep on doing it. So join me every Friday on Stan Energyman at lunchtime at noon on my lunch hour. We're going to talk about everything energy, especially if it begins with the word hydrogen. We're going to definitely be talking about it. We'll talk about how we can make Hawaii cleaner, how we can make the world a better place.  Even Miss America can't even talk about stuff like that anymore. We got it nailed down here. So we'll see you on Friday at noon with Stan Energyman. Aloha.  And now our second interview that's going to cover the issue of pet service law that was recently passed in this year's state legislature. And now that interview. Aloha. I'm Tim Appichella, the host for What's on Your Mind Hawaii for Think Tech Hawaii. Today I'm out here at Hawaii Kai, the dog park. And we're going to do a show follow-up from the law that was passed about the prohibition of animals in public areas and public restaurants and hardware stores and all that because of fake service dogs in the past, fake animals. So I'm here with Dave. And Dave, you're here with Iggy and Fonzee. Fonzee, yes. Yeah. And we were just talking before we went on air here that you have an opinion about what you think about the new law and how it's been passed and what was behind it that made it pass. So what do you think about the new law? Well, I think for people that really need service dogs, you know, it's great, but I don't believe that if somebody's taking advantage of just getting something for their service dog and they're not a service dog, I don't agree on that. I hope it doesn't make it harder for people that really do need the service dogs to get into public places. Now, when this law was passed, it was acknowledged that probably 97% of the population will A, recognize it's a new law and B, respect it. But there is that acknowledgement that 3%, even though they know it's a law, they're still going to bring their animals in with a fake service vest that they buy for $19.99 online and still try to pass their dog off as a service animal. What do you think about that? What does it say about our society? First off, doing it in the first place, but then doing it knowing that it's illegal. Yeah, I mean, you're going to get that 3%, that small percent that do that. I just hope it doesn't affect every other dog owner or pet owner that needs that. That's my opinion on that. So have you ever, oh, Fonzie, have you ever been, I won't edit this out by the way, have you ever been in a situation where you have been in a restaurant or in a public space where someone brought their dog in and it was either with a fake service vest or not and the dog was a problem into the restaurant or whatever? No, no, I've been into a lot of restaurants and I've been with friends that have service dogs and the dogs are fine. There was no disturbance in the restaurant and they're perfect for that. I haven't seen anybody bring in a dog where you say, oh, that's not a service dog. So most people that have the service dogs are mindful and it's for a legitimate reason and I've traveled to and traveled in other countries and people with service dogs. You know, I remember before the law, before Costco down the way here posted their science service animals only and I remember Costco having a lot of pets in the carts and on leash and they didn't necessarily have any vests on and things like that. Do you remember that in those days? Yeah, it was funny, my wife tried to bring one in, our puppy in and that was before we didn't see any signs and they said, oh no, it needs to be a service dog and so we had just got our puppy and so we said, okay, then we just took the dog out. So, you go to Home Depot or any of the other hardware stores and same thing, I used to have a lot of dogs in there and a lot of pets and have you noticed a difference at all? I've never seen pets in Home Depot or Lowe's or City Mills so mainly in restaurants I've seen service dogs or Costco every once in a while, I'd see that. Do you fly? Yeah. Do you see pets these days on carriers? Oh sure, yeah, all the time. What kind of size of pets do you see? What kind of animals? Pretty big size dogs, you know, like 30, 40 pound dogs, really well behaved. Those probably are real service animals then. Yeah, I would think they are. So, do you think, now the airlines have been cracking down on this for the last several months now, United, Delta, they're all coming out with very strict policies about certifying that their animal is legitimate service animal before the flight, not at the time of the flight. Do you think it's appropriate and what else measures do you think they should do or not do?  It's just like when you fly overseas, you've got to show your passport so some sort of record that this is a service dog for whatever reason that you need it for. I think that's a good thing. It did amaze me that Hawaii is when, actually one of the first in a few states is actually starting to implement these kind of laws and, you know, sometimes we're kind of trailing the pack on certain laws. So, you think it's a good idea to implement nationwide as far as a concept? Yeah, I think, you know, just so everybody's on the same page, you don't want to say, well, in my state, we don't need to do this or in my state, we do it this way. I think it's kind of a general rule of thumb. A general guideline would be good, you know. Well, you have three dogs. You have Iggy, you have Fonzie, and you have, who else? Nacho. Nacho, okay. So as a pet owner, what do you think would be the next step that would help pet owners but also preserve, you know, other people that are not pet owners? Do you think there's anything out there that hasn't been addressed yet as far as laws or statutes? I can't think of anything right now. I think with a lot of things, everything has to go to your local representative. So I think maybe that's the next step you have to do is to bring that in so it goes to the House or Senate and they could bring that up, you know. Alrighty. Well, as a pet owner, I appreciate you sharing your opinion. Yeah. Anything you want to tell our audience about pets and what do you think's out there? You know, pets are our family. So you have to, yeah, so you have to treat them with love.  So that's why I'm here at the dog park, my wife, Michelle. She's on a trip right now. So I am doggy daddy. You're doggy daddy and you're actually the one giving the interview. You said normally it would have been her, right? Yeah, she's here more than I am. Well, I think you bring out a really good point and I think people forget that is if they're not pet owners, they really don't realize the significance of a pet, be it a cat, a canary, you know, whatever. That this is a part of the family and, you know, it's a big loss, you know, when that pet does pass on. Do you think there should be a little more awareness and a little more understanding, particularly in Hawaii, where there is a feeling of aloha? You know, I think nowadays pet owners are very mindful of how you treat your pet. Like I said, it's like a family.  So you have to give them the love, the attention, the care. The discipline. The discipline. I'm not too good at that. An indulgent parent, are you?  So, yeah, yeah. All right. Well, hey, I want to say thank you very much for appearing on What's On Your Mind Hawaii. All right. I'm Tim Appichella for Think Tech Hawaii. What's On Your Mind Hawaii? Aloha. Aloha. All right. Well, that's our show for this week. I really encourage you to call into Think Tech Hawaii if you feel like you want to be on the show and I'd be happy to interview you. Our next show is on July 31st, and we'll see you then. Aloha.


There's bookstores and people watching and just lovely things to just sit around us. It's the culture of Ann Arbor. There's a fairly vibrant karaoke scene in Ann Arbor. I'm attending the summer program as a studying English and in one of the class I have the go-to-the-art museum. We have a thriving intramural program. I remember one of my first weekends here. I just went to a local bookstore and really got to enjoy that. There's a program to the Ford School called IDP through which I went to Cape Verde last year. And of course there are so many international students here. They sell Japanese and Korean and Chinese. I've been to Africa now five or six times. When you ask people what are their interests, a lot of the Michiganders will be like, you know, I'm interested in social policy, inequity and like Detroit. University Michigan students after they graduate, if they're looking to really experience what it is to be a part of a community that's making a difference, that's really invested in the work that they do, they usually find that in Detroit. At first, just in my image in America there's only hamburger or oily or pizza food. It's not so. I love the farmers market and you get to know the vendors. You get to know the vegetables. So I'm a big coffee addict. So I've explored all the major coffee places and there's one for basically every single day of the week and one for every single mood you could possibly have. Things to do with my nieces. I mean, the food, forget about it. We went to Tomica Noodles and they've never had pho before. I mean, it was fabulous. So I'm happy to be able to provide them with that experience. I love it.


Going on everyone Sam here with late in sports cards have been 23 24 Bowman University Chrome to basketball delight six box break number two random teams now There's a look again at your random results as always you can find those on the website under the results tab as well as the link in chat We're gonna do guess the super everybody guess is starts now Just guess somebody in the checklist. Let me pull a super of them. You'll get 30 bucks break credit. Good luck All right guesses are clues There you go Let's get started on the break Good luck 399 Rakiha Jackson 199 Cameron Brink 399 Dusty Stromer 199 Zayed Lowry and 399 Kevin McCuller That first refractor Paige Beckers save your Booker Angel Reese sharp shooters of Tyrese proctor First base auto is Justin Edwards going to Kentucky Congrats UK Hannah Hidalgo to 199 for no sure Dom nice one there no third game and Steel Ventures first base auto for Gonzaga Very nice Robert B with a spot in number six and Mike U with Wisconsin So two and sixteen now on those next two two and sixteen two sixteen twenty three left everybody Notre Dame and Mizzou left in Bowman's best University football drop you guys a link to that and then Sixteen to go on that first mixer 16 to go. It's gonna sold out everybody To go again two boxes absolute one box of prism 80 bucks a spot gets you into that Notre Dame in Missouri two to go Bill and easy 199 299 we'll go poplar 399 Tyler Colec Ray wave to 100 Kyle and Boswell and then to 299 or 199 Jamarie McDowell first of my role little AJ Hoggard Quinton post DJ Wagner True red auto Isaac McNeely four of five going to Virginia. Congrats on that UVA. Oh play I think that's mr. Poisson coffee down No, no, no, I don't think it's just kidding. It's Taylor D. Congrats Taylor Cormac Ryan first base auto for UNC Got first a lava auto to 1 at 99 Chris Johnson for Texas and then a true gold laden blocker for Arkansas to 50 Laden a blocker nice one there Thank you Harold picking up Missouri down to just one everybody one to go in the next break just Notre Dame So Autric Estime Sam Hartman, I believe is in it to be wrong on that. I feel like Sam Hartman Um, but yeah, Estime is still at college, which is awesome So, thank you all appreciate that guys. That is awesome. Blake Henson 399 to 150 Garway dual 299 Cody Williams 399 Wooga poplar and a 199 Omaha bill you got to Sean Harris Smith first Will's read Shepherd Omaha bill you Cameron Brink on the sharpshooter's for Stanford Lava auto is Tyler Colek for Marquette to 199 We've got first base auto Quinton post for Boston College And then first refractor auto to 250 Javante Taylor from Memphis. Congrats Memphis So just Notre Dame and then 16 and 23 to go on our last mixers of the day everybody our last two breaks of the day with spots After that it is all sold out and we'll be into tomorrow on fanatics live with Jake and Jeff 299 is Spencer Jones. That's a little scary The 399 Tyrese proctor They will have for us their babysitting though, of course the 199 is Santiago of Escobie the 399 Solomon ball The 199 Jamal Sheed and then gold to 50 Isaac McNeely We've got Jeremy fears first refractor First refractor of Bryce Hopkins first of Taryn Shannon Ronnie James sharpshooters First base auto Kylan Boswell for Arizona Got first the lava autos they didn't high for UNC to 199 And then first base auto Villanova is Eric Dixon. All right again just Notre Dame in the next one and then we'll continue on Into our absolute in prism mixers as well Then prism three boxers and a full case of stadium club to end our night Paul Brenner to 199 to 399 Kylan Boswell to 299 Angel Reese 399 Hannah Hedalgo and Then at 299 Elijah Martin. We have major problems. You bet on bread and Miller Stefan Castle Isaac Hollier Jamir young big kahuna Justin Edwards going to Kentucky. I Need two points Got Isaac McNeely to 250 for Virginia first base auto is Jamari McDowell for Kansas Another first base auto Stefan Castle this time for at UConn and then Jamir young 275 for Maryland Congrats at you MD Armando Baycott to 299 399 Trevon Brazil 299 Malika 399 laden blocker and then 299 Jared McCain God first refractors of Sean Stewart Jaden Acons Rob Dillingham Caitlyn Clark image variation for Iowa So in there first base auto RJ Jones First refractor auto myro little for Baylor and then first base auto Elijah Martin Brandon For FAU Give Sean a second to catch up and then we'll continue into our recap and again just Notre Dame available in the next one ladies Nurentz So yeah, that is awesome, man. Thank you all again. Thank you sir All right, we've got autos of Jamari McDowell Stefan Castle Isaac McNeely to 250 Well as myro little Elijah Martin RJ Jones Kylin Boswell to 199 Zaden high Eric Dixon Quentin Post to 199 Tyler Colec Jamonte Taylor 199 Chris Johnson Julian Edwards 199 Hannah Hidalgo steel ventures to 50 laden blocker to five Isaac McNeely and then to 75 Jamir young That'll do it for the break everybody. Thanks again for the fill again. Just Notre Dame available in this next break


Woo! Hey, everyone, and welcome to the Fort Report! I've been partying all day here at Plaza Palooza in Sundance Square, and I didn't even have to wait in line or camp overnight for tickets or anything. I mean, who would do that for an event that's obviously totally free? I'm Alicia Anderson, and I've been camping out here at Sundance Square all night waiting to get my tickets for Plaza Palooza. Oh, well, anyhow. Come to Plaza Palooza! There's live bands, street art, and all kinds of fun stuff. Check it out! A free two-day festival by Sundance Square will take center stage with chalk artists, a popular lineup of music, visual street artists, and other fun entertainment. Plaza Palooza is on June 1st and 2nd. Go to SundanceSquare.com for the schedule. Here's a look at other events happening in and around Fort Worth in the next few weeks. For a listing of more events and city meetings, you can always check the calendar at the city's website.


Overrated or underrated? The United States Constitution. Underrated. Underrated. Tell us why. Well, it's been the foundation for probably the greatest experiment in democratic self-government in the history of the world. And there's grave difficulty in overrating something that's done something like that. So whether the Constitution is, you know, a set of specific prescriptions, or whether instead it's a framework for a society which has changed radically from 200 years. There's disagreement about that. But whatever it is, underrated.


Welcome to ToffeeTV, it is the Everton News Daily. Rafa Benitez has held his pre-press conference ahead of tomorrow's game with Norwich City. He is confirmed that Jordan Pickford and Leucadine have been training at the back end of the week and hopefully both of them will be available for tomorrow's game. Of course, there was an issue with Leucadine. He went off with 10 minutes to go against QPR, but it looks like he's okay. And Jordan Pickford obviously picked up an injury against Burnley, missed the game against Villa, missed the game against QPR, and it looks like he's back as well, which is really positive going into this game. Dominic Alvalune and Richales and both still missing and Rafa Benitez confirmed that both probably will miss going up on international call-ups as well. So it looks like they'll be out for the Manchester United game and hopefully we'll have them back after the international break fingers crossed. He also confirmed that Andre Gomez will miss the game as well with a knock. Delphi is still unavailable and Gabamon is still unavailable. So Everton really are down to the bare bones at the moment for the squad. Chimney's Coleman obviously still missing as well. So a potential banana skin tomorrow, but hopefully Everton will get through. He also said that Rondon would start to look better, sharper in training as well and benefit from that as well. So he'll start the game tomorrow up front for Everton and hopefully, you know, Everton have got enough. They haven't got much on the bench and hopefully they can get through the game and get the three points against the Norwich City side that has yet to win. One of the players who probably will be on the bench is Jared Branthwaite starting tonight for Everton under 23s against Manchester United. So interesting that he's getting games there, but just trying to keep him ticking over, I imagine. The manager was asked about the Hamas Rodriguez situation as well and he said that ultimately, you know, you can't make plans for a player who's only likely to play in 50% of the games. And that was one of the reasons why they, you know, weren't willing to stand in the way of the player leaving. I know a lot of fans would probably say 50% of Hamas Rodriguez is better than 100% of other players, but the manager wanted to, you know, let everyone know that that was probably why the main reason was and the money they've got in for them should allow Everton to go out in January and maybe pick up a couple of targets, a couple of deals. He said that he had spoken to Fahad Mishiri the day before and money would be available. So we'll have to wait and see now. We've got three months till that window reopens and maybe bring some players in. He was actually asked about Sergio Rie, who is now basically available. He got himself out of his contract at Spares. He simply answered that. He wanted to play for the long-term and not just some short-term gains. That might help now. And obviously a player who's out of contract at this stage could probably, you know, get a decent contract, get some good wages in because, you know, clubs become more desperate and obviously if there's no window opening, they become very, very desperate. So he resisted the idea of that without ever really speaking about the play himself. When he was asked the question, we'll say to Rie, he just said they want to, Everton won plays for the long-term and not just some short-term gains. Obviously referring to the fact that Chamber's Coleman is out injured. So nothing on that, but it's positive that he did speak about Fahad Mishiri and did say that. He had spoken to him and there is money available. So we'll see how that plays out in January. Everton have managed to get rid of a lot of players off the books and will get rid of a lot more come next summer when more players on really good contracts leave the club. So we'll have to see how that plays out. But that's still next year. We're all about the here and the now. The Liverpool City region have confirmed that Everton will get £15 million and will get a £13 million loan. This is for Bramley Moor Dock Stadium. The £15 million will go towards helping out the areas around the stadium, looking after the historic elements around the stadium and just all the public access points, making sure they're all done up to spec. And the £30 million will go into getting everything sorted for the stadium as well. So good news, £45 million to obviously push the stadium forward, which is happening day by day. Anyone who's seen the videos or seen pictures from the area will see, you know, there's more stuff. I think they've taken part of the wall down as well now or to an access point. So it's all happening down there. The buildings around that have come down and the next part is going to be getting the dock to the point where they can start filling it in, which means getting the wildlife out of it and then start filling it in with sand dredged from the Irish sea. So good news that there's more money coming in to help that happen quicker. So there you go. Yeah, let me know your thoughts in the comments on any of the stories we've spoken about today. Make sure to give this video a like, subscribe if you haven't already. If you want more great videos, exclusive videos, daily live videos, join us over on Patreon. The link is in the description. Also, don't forget to play Ultimate Fan. If you haven't already, the link is in the description for that as well. It's available on Android and Apple. It's a fantasy football card based game. You get a pack of cards every week, depending on your subscription level. There's a free level. There's a silver level. There's a gold level and you build your team every single week for an opportunity to win £8,500 a week. There you go. Check that out. That's in the description as well. Thanks for watching. See you later.