Hello, beautiful. So it's welcome back to Art of Awakening. My name is Ona and this is part two of my video on the hermetic principle of gender. If you've watched part one, you'll remember that gender is present in all things, and that these masculine and feminine principles are the primary energies of creation or manifestation. So masculine and feminine energies have been really, really politicized lately, and there's a lot of confusion around what masculine is, what feminine is, and how that looks. So in this video, we're just going to give an overview of what these energies are at the spiritual level, so that you can start to recognize and look for these energies around you. Because when you start to familiarize yourself with these energies, it's a really, really powerful thing. Okay, so to start just the overall energy of masculine versus feminine. Masculine is known as more of an electric energy. Okay, so it's an energy that exerts force that is more of a giving of an energy if you think of an electrical current moving through things, and it projects. So masculine energy is more of an upward and outward moving energy, whereas feminine is known as more magnetic. Okay, it's inward and downward moving energy it's an attracting energy, as opposed to a projecting. Okay, it's more receptive. So feminine energy tends to be fixed on changing eternal stable, whereas feminine is the dynamic fluid changing energy. Okay, both of these complement each other, right, neither of Ms. Good or bad. They both working together, maintain harmony. Okay. So masculine is being more active or doing and feminine being more, you could say passive but being more being or in the presence. Holding space masculine energy acts on things masculine energy is going to be more managing controlling directing or creative from without whereas feminine energy is going to be more creative from within. So feminine energy is going to be think of it as more the creative the artistic, the, the generating or producing type of energy. And then finally, masculine energy is considered de materializing and that can take a couple of forms it can take the form of just breaking apart, right, or deconstructing them, or it can take the form of spiritualizing, right, and so that's why we have the symbol of the masculine as being an upward pointing triangle. Feminine energy, on the other hand, we consider to be materializing or becoming embodied grounding, right, we think of mother earth. And therefore, the, the feminine symbol is the downward pointing triangle that symbolizes this downward moving energy coming into manifestation, right, coming into materialization, or also generating energy. Okay, so those are the basic concepts of the very, very abstract idea of masculine and feminine. Let's now take a look at just a few ways that this can start showing up in a more human context. It's something that we all whether or not you identify as male or female whether or not you have a male or female body, we are all working with both these energies okay so we talk about the masculine mind versus the feminine mind. This is something that we all have both right. And so it's a matter of being able to recognize these, and ultimately having both these mental abilities, working in harmony. Okay, so the masculine mind is our mental capacity, it's the logic, it's the reason right using reason and logic.  That's going to be more than masculine mind and able to really kind of take things apart mentally right again remember it's materializing we can break things apart with our masculine mind, so as to understand them. The feminine mind on the other hand tends to be more emotional, more intuitive so this is drawing on the intuition, the ability to just sense and feel things right so we have the thinking mind which is more masculine versus the feeling of the feminine mind which is more feminine, or we can also think of it as head oriented versus heart and gut oriented right masculine versus feminine. Again, we have both of these, each one of us physically in the body, masculine body tends to be more hard and firm and strong and feminine body tends to be softer and more flexible. Remember the dynamic flexibility that's more feminine, whereas the rigidity tends to be more masculine. We can extend this to vision, when we think of masculine vision, we think of focus okay masculine vision is highly highly focused, able to really zero in on things. Which is also associated with goal setting, very detail oriented like seeing the trees in the forest right being able to break down the forest and see all the individual trees or even the individual leaves, even breaking that further down to the individual cells or the atoms of the particles. Whereas the feminine vision is holistic. Okay, so feminine vision is able to see the big picture, seeing the forest, rather than the trees, and it's also known as diffuse awareness of is being just aware of everything that's happening, and it's very very aware of context. And this is really important because we think of vision as being able to envision and vision things, which is part of manifestation, right. This is why we need both because the feminine can see the whole picture just the masculine can see all the little details. And this is as an example of how this can work, right, I, I've noticed this in dogs. I've had a couple of pairs of dogs where one was male and one was female in my life. And I've noticed this behavior pattern in both of them. So I think it's pretty universal. So, in this case, we had dogs and it was out in the country so they were unleashed and hanging out. Right. And so what I've noticed was the female dog would always be aware of things out in the distance should be always station herself as a lookout. And so she would see something out on the edge of the property. Maybe some line workers working on the electric lines, right. And she'd be like, Oh my gosh, there's something there. So check it out. And so she would alert the male dog. And he would go trot over and check it out and he would decide he would discern, right, whether this was a dangerous thing that he had to deal with or if it really wasn't anything to be worried about. So that was the masculine and feminine energies at work in these animals, right. The female had this diffusive awareness and she was always the first to figure out something's unusual there. Something's, something needs to be checked out, but she'd call on him because he had the more focused awareness and able to break things down and discern, you know, if something was needed to be dealt with or not. And the thing about masculine versus feminine vision is that when you're focused on something, you can't see the rest of it right so it's excluding. And so it's very very common right now in our culture to really focus on things and take them out of context and that so often on social media, or even on the news really zeroing in on a specific incident or something somebody said, and taking it out of context well without the context, you can draw a jump to incredible conclusions about something or somebody without really understanding what the big picture is. And so when we're following the news or we're following things on social media. This is why it's super important to dig a little bit deeper and to try to understand so one way that this, you know, these two loads of being work these two energies work within people is understand each other and conversations, right. So the masculine way of being is to be a little tends to be more polarized right because you're seeing only a part of the picture. And so there's this tendency to look at this part of the picture and defend it. Right. Which sometimes can be a good thing, but if you can't see the whole picture. So it's really difficult to come to any kind of understanding. Okay. Whereas the feminine vision tends to be more holistic and is able to see the whole thing. But sometimes she's not very discerning. The masculine tends to be more discerning or judging, whereas the feminine tends to be more accepting of everything right. So whether one of these is good or bad it's simply it depends on context whether it actually ends up being good or bad for whoever it is that you're looking at. Okay, so masculine and feminine energies also both have protective qualities to them. The masculine protective quality tends to be more remember he breaks things down. So if you think of the sword or clearing things away clearing away anything that doesn't belong there. That's a more masculine type of protection feminine protection tends to be more like a vessel right being held holding or encompassing. And both of them can kind of work as a shield right putting oneself in between. Just a really brief overview of the basics of masculine and feminine energy and what these energies actually look like to get the most value out of this video I really encourage you rather than just going on to something else from the video ends to really start to observe what you notice within yourself, within other people in the world around you, use your masculine mind and start to break down and observe what qualities you're seeing. Okay, what's showing up, you know, the energies that you're seeing is that showing up as masculine is that showing up as feminine how and why. In the next few videos we're going to take a look at how these energies masculine feminine shows up in positive ways and negative ways. And because that is the next step in awareness is really being aware of these energies. Please subscribe button be low because awareness of these energies and how they're working together is really key in, first of all, avoiding some of the conflict that can show up with these energies are unbalanced and then also learning to use these energies as a balance and positive way to generate great things in your life and in further people as well. Thank you so much for watching. And remember, you were born to be free.


Hi, I'm Zor. Welcome to Unisore Education. This lecture is about operations. Well, basically, let me start with a very simple example, and then we will all know what we're talking about. Okay. Example is addition, addition of let's say integer numbers. This is an operation, and there are many other operations which behave like addition in some way or another, and mathematicians as they always do, they abstract things. So the term operation actually is some kind of an abstraction from such operations as addition, multiplication, rotation, etc. So let me start from, well, it's kind of a definition, but not a very rigorous one, but at least you understand what I'm talking about. First of all, operation is a function. Now, we all know that functions can have domain where the values of arguments are taken from and co-domain where the values of the function actually are located. So what are domain and co-domain of operations we will be talking about? Well, we will be talking about two different kinds of operation, the unary and binary. So for unary operation, this is some kind of a generalization or abstraction of such operations as let's say negation when from a number 25, you get minus 25 from 13, you get minus 13. So these are functions of one argument and what's important is that the domain and co-domain are exactly the same. So in case of let's say negation, we can say that this is a function which has a domain, all real numbers and the co-domain, all real numbers or it can be integer to integer or something like this. So basically domain and co-domain are exactly the same set. Basically, that's it. That's all the most general definition of unary operation. Now, as far as binary operation is concerned, again, this is something which is an abstraction from addition or multiplication when we have two different arguments of the same type and the binary is also of the same type. Now mathematically speaking, you can say for instance like addition, this is a function which is defined on set of all pairs of real numbers and the result is another real number or it can be a set of pairs of integer numbers and the result would be let's say integer number or something else. Now, this set of pairs, by the way, it's ordered set of pairs because there is first argument and there is a second argument. In case of addition, doesn't really matter because the addition of five plus three and three plus five are exactly the same. But there might be some other operations which do not have this important property. In this case, we're always talking about the first argument and the second argument, and the set of all pairs of these arguments is called a Cartesian product of these two sets. So, we have unary operations and binary operations. In case of unary, the domain and co-domain are exactly the same. In case of binary, there is one particular set which serves as the component of Cartesian product for the argument and it's the same set for the results of the function. Okay, unary and binary and we have learned about their domain and co-domain. Basically, that's kind of a definition of at least the operations which we will be talking about. Then again, obviously since we have certain properties of such operations as negation, rotation, or addition, or whatever, we will try to generalize. Let me repeat again that mathematics is kind of form of art where mathematicians are experimenting with different creations of pure mind. That's why we're talking about these generalizations, et cetera. If you can think about some practical implementation of operation of addition, yes, we all kind of use the ending in our day-to-day life. But abstract operations which are unary, binary, whatever we will be learning, most of them don't really have any implementation in real life. Pure creation of the mind. That's why mathematics is a form of art. Okay. Let's talk about symbols. Okay. Symbolically, operations can be expressed in many different forms. For instance, if we are talking about unary operation, we can define it in some simple form, like y is equal to f of x where x and y belong to the same set, whatever the set is, domain and co-domain. Domain and co-domain are exactly the same, as we know, for unary operations. So that's one of the ways to describe it. Another way to describe it is something like this. It's an operation f, which for each element of some set s has the corresponding function for result of the operation on this element in the same set. Sometimes it can be symbolized using something like this. All these symbols basically mean exactly the same thing. There is some operation, which is a function, which is basically a rule, which for each element of some set, which is a domain, puts into a correspondence an element of the same set. Yeah, something like this also. And again, x and y belong to the same set of s. So these are all symbolical demonstration symbols of unary operation. Now, in case of binary operation, that's basically very simple. In exactly the same fashion, we can say something like this. In case of binary operation, when you have two arguments, so you can have something like z equals f of x, y, where x, y and z belong to the same set s. Or you can have something like f as Cartesian product with s is result in s. Or f of x, y results in z, or any combination thereof. Sometimes, actually, we might use something more intuitive symbol for abstract operation. Now, this intuitive symbol basically is borrowed from addition or multiplication. So you know that if a and b are two numbers, we can have something like this as a result of their addition. So in a more abstract sense, we can invent some kind of a symbol which symbolizes this operation. So plus for addition, dot or a small asterisk for multiplication, well, I can say that something like this, on sign, number sign, whatever you call it, can symbolize an operation. So x and y, that is an abstract symbol for exactly the same thing as everything else before that. So this function f, which has two arguments, can actually be represented symbolically as x. Some symbol which I have chosen, it's not like general acceptable. I just chosen to use this bound sign, number sign as a symbol of operation. And this is another argument. And here, it's very clear that there is a first argument or the second argument, there is an operation and there is a result of this operation. Okay, let's go on. Now, let's talk about unor operations first. Now, obviously we know that some unory operation converts an element from a domain to another element of the same domain. Now, I can actually have either the same operation or a different operation, which is defined on exactly the same set. Let's talk about different operation, which is also defined on the same set. I can define their consecutive application on any element. So if there is an element x, let's say, which belongs to the domain s, I can first apply f and x will go to y. And then I can apply g to the result of the first operation to get the next element. So symbolically, it can be written like this, y is equal to f of x, z is equal to g of y, or since y is, in turn, the function of x, so z is equal to g of f of x. So if I have two operations, f and g, I can always define their composition if they are defined other than the same domain. So there is a composition. And let me just define it this way. I'll use the symbol commercial f, whatever, for m% for the composition. Okay, so the composition of these two functions is a function which applies to any element x is consecutive application of one function, which is the closest to the x and then the second one. And obviously, I can define a different composition, f and g of x, which is first you apply g and to the result of the g you apply f. Are they the same? They might be the same, but might not. And let me just give you a couple of examples. Examples are interesting in this case. So we are talking about the unary operation, actually two different unary operations, on the same set. And we are composing a combined operation from these two, and we will try to find out whether we can reverse the sequence of operations. Now, from the first example, which I mentioned, the unary example, negation. Negation is actually, you know, very, very simple operation. Another operation can be, let's say, multiplication by five. So first, you multiply by minus one, which is negation, and then you multiply by five. If you start with any number and you first multiply by minus one and then multiply by minus five, it's exactly the same as if you will multiply by minus five first and then by minus one. That's the property of multiplication. Now, but not all different operations, unary operations on the same set, have this property of interchanging their places. And here's a very interesting example. Let's consider an operation of rotation, rotation of points on a plane. Let's say by 90 degree. Counterclockwise. Now, what does it mean? Let's put coordinates. That's easier. And let's have, let's say seven and three. Now, if I turn the whole plane, all the points on the plane, by 90 degree counterclockwise around the center, then this particular point, let's call it X. Now, the perpendicular to it would be this. And obviously this would be seven and this would be minus three. So I just turn by 90 degrees and obviously the whole rectangle will turn 90 degrees, which means this will go to this and this will go to this. That's why this is minus three and this is seven. So we have point Y. So from seven, three, we got to minus three, seven. So this point is seven on X axis and three on Y axis. This point is minus three on X axis and seven on Y axis. All right, this is one transformation. One operation, which is turning by 90 degree counterclockwise of all the points on the plane. Now, let's consider another reflection relative to let's say Y axis. So reflection relative to Y axis. Now, what happens with a point Y? If I reflect it to point Z, obviously this is three, seven. So after reflection, minus three, seven, will go to three, seven. Okay, great. So these are, this is F and this is G. We have two different transformations of the points and I have applied first the F transformation, F operation to the point seven, three, got minus three, seven and then this. So basically what I can say is that point seven, three will go to three point seven as a result of first was F and then it was G. So G composition with F, this is an operation which transforms point seven, three, X point, two points, three points, three, seven, which is Z point. Okay, great. Now, let's do the opposite. Instead of GF, I will use FG, which means first I will apply the G transformation, which is reflection. And then F transformation, which is rotation. Okay, so reflection relative to Y axis from X, I will get Y prime, which is seven, will go to minus seven and this will be three. So my seven, three will go to minus seven, three. This will be the result. And now I turn 90 degree counterclockwise, which is this way. And obviously it will be in this point. So minus seven, three will go to minus three, seven. Or minus three, minus seven, this point. Minus three and seven. So in this case, as you see point seven, three was converted by F composition with G into minus three, minus seven. So as you see, the result is not the same. In one case, when I'm composing first F and then G, result is this point. And if I'm doing in reverse G and then F, the result will be different. So if two different compositions produce the same results, if operations F and G produce the same result, regardless of what order we apply them, then we call them commuting with each other. So F and G might have this property of, regardless of the order, so F and G is exactly the same as G and F for any argument from the domain. Then we call them commutative. We are talking about these operations are commuting, or commute each other. Example is obviously two different multiplications, or let's say two different rotations by 90 degree and then by let's say 180 degree or something like this. These operations commute. Now how about let's say one operation would be, addition of X would go to X plus five. This is one operation, so any number I add five, that's my operation. Another operation would be I multiply that number by X. Now, do they commute or not? Well, let's just see. If I want to do F and G of X, what is it? So first G is applied, so it's two X and then I add five. So it's two X plus five. What about G and F of X? First I apply F, which is plus five, and then I multiply by two, so it's two X plus 10, which is different. So these two operations do not commute, but two multiplications do, or two additions, for instance, do, by different numbers. Okay, so we talked about commuting unary operations. Now let's go to, oh no, one more, one more. So there is another property, it's called associativity. So what is this? Basically it's this, if you have F and G and H, you have three different operations. All unary operations. Well, by definition, what is this? By definition it's F and G and H of X, which is F of G of H of X, that's where it is. Well, but you know what, I can define it differently. I can define it this way, in which case it would be, first this should be applied to X, which is, again, first H, then G, and then F to the resultant. Well, same thing, right? So it looks like it doesn't really matter how I define where I put the parenthesis here. So in this case, we're talking about associativity of unary operations. All right, so we talked about commutative property and associative property. Now let's switch to the binaries, binary operations. We also have a concept of commutative and associative properties. Binary operation, now, if order is not important for the result, for any pair of X and Y which belong to the domain, then we are talking about this particular operation F being commutative. Now, if instead of this notation, I'm using something like this, what it means is, is this. Now, are all binary operations commutative? Well, you know about addition or multiplication of two different numbers, right? Well, apparently, not exactly. Sometimes we have a completely different case. And here is the case when it's not true. Let's consider as our domain, and actually not our domain element which is supposed to be Cartesian product with itself. Set of all strings. So we have set of all strings and we define operation of concatenation, all right? So if you have a string ABC and you have, let's say, I'll use plus sign but it doesn't really matter what the sign actually is. Let's call it X, Y, Z. The result is ABC X, Y, Z. This is what concatenation actually mean. If you have one string of characters incatenated with another, you get basically all characters from the first, continued with all characters from the second. Now, is this operation commutative? Absolutely not because X, Y, Z plus ABC would result in a completely different string. So that's where the order is important. This is the first argument, this is the second argument of the Cartesian product. So in some cases, operation, binary operations can be commutative, in some cases not. Now, let's talk about associative property. Now, associative property is the property of the order of three different operations. So if you have, let's say, operation F, and then you do this. You first do operation on these two and then the result of this, the result of the first application on X and Y is used as the operand for the second application. Now, at the same time, we can do different, in different order, we can first apply operation on Y and Z and then use this as the second operand for the next application of operation F. It looks a little better if I will use a different symbolic, different symbolics here. Okay, this is the definition of our binary operation. Now, if I have three arguments, I can either use this, that's what this means. Or in this order, it's X. So right now, the difference is where exactly I put the parenthesis. Now, again, we all know that if this binary operation is, excuse me, addition or multiplication or something like this, then the order of parenthesis is really not important because operation is associative. How about our string operation, the concatenation? Well, apparently, if you have three different strings and first you apply to the first two and then the result to the third string, you will get what? First you get A, B, C, D, E, F plus G, H, I, which is equal to A, B, C, D, E, F, G, H, I. Now, if you do it in a different order, so you put parenthesis here, what happens? Well, it will do like this. It will be A, B, C plus the result of this operation, D, E, F, G, H, I, which is equal to A, B, C, D, E, F, G, H, I, which is exactly the same as this one. So concatenation, although it's not commutative operation between two strings, still has associativity as its main property. Now, together with the property of having this operation commutative and dissociative, I would also like to introduce a concept of a unit element in this case. Here is what unit element is defined with. Okay, I will use the following symbolics. I will use letter E to define a unit element if this is true for any element X. So the operation which is applied to the element X and one particular unit element, if it results in the same X, that's the definition of this unit element. If this element exists, which has this property, then it's called a unit element. Now, what's the unit element for addition? Obviously, zero. No matter what number you choose, in the beginning, you add zero and you will get exactly the same number. For operation of multiplication, the unit element is number one. You multiply number one by any number and that number remains the same. All right, so that's just the definition. Nothing's more than that. There are certain properties which we can go into, but may do a little later, of unit element. Another interesting property is inverse element. Inverse element is the following. Y is called an inverse to X if the result of the operation of one element on its inverse is the unit element. So first, it assumes that there is a unit element. That's number one. And secondly, if for an element X, there is an element Y which results in operation in the unit element, then this element Y is called inverse to X. Now, is inverse element always exist? Well, no, there are cases when there are no inverse element in some cases. Even for the same operation, for some elements, you might actually have an inverse element and for some other element, you might not. So it all depends. Now, in case of addition for any element, the reason inverse, which is the negative element for five, it's minus five. In case of multiplication, the reason inverse element for everything which is not zero, for multiplication to get one, you have to combine the number and one over this number, but not if r is equal to zero. So in some cases, in some operations, inverse elements do exist. In some cases, they're not. Okay, what's the inverse operation, for instance, for let's say, oh, by the way, inverse operations can be introduced in unary case as well. And here is what I meant. If you have one operation, then you have another operation which being applied to the result of the first gives exactly the same thing, then these two operations are called inverse to each other. Let's consider the following operation. It's called identity operation. For any x, the corresponding result of this operation is exactly the same x. For any x in the domain. Now, what does this mean? It means that f and g is an identity operation. And g, f also. So basically, it's the combination of these two properties, not just this, because this means that the f is the first one and the g is the second one, but it can be another way around. In this case, we definitely can say that the g and f are mutually inversed to each other. If the f is inversed to g, g is inversed to f. So in case of unit operations, this inverse, also the concept of inverse operation exists in the same fashion as in binary operation when we're talking about inverse elements. And now there is a very interesting connection between unary operations and binary operations. And here is the connection. Let's say you have a binary operation. I will use this sign, this symbol as a binary operation. Now, let's assume that you have an element E such that application of our binary operation on any x and this particular element E results in the same x. Let's define a unary operation. Now, why is it a unary operation? Well, by definition, unary operation has one argument and in this case it's x. So for every x I put into a correspondence the result of this operation, the result of a binary operation of x and this particular element E which happened to be unit element of a binary operation. Well, obviously this is since I have this I of x is equal to x, right? So I is identity operation. So from a binary operation which has a unit element we basically derived a unary operation which happened to be inverse. Okay, so the existence of the unit element for binary operation actually results in existence of identity operation on the same domain. Now, how about more general approach? Let's say I have a base fixed element of a domain called B. Now, this is a unary operation. So if I have a binary operation and I have chosen a specific base element it actually defines a unary operation as a result of application of a binary operation on any x which belongs to the set and this particular fixed element B. So if B happens to be my unit element of my binary operation then f-attacks would be identity function. But let's consider this. What if I have chosen two different elements, two different base elements? One is based on B and another is based on C. Now, what is a combination of these two unary operations? First, I have to apply g to the x and that would be x plus c. Then result would be B. So first I apply g which means I do the binary operation with c and then I apply f which means the result of the first operation would be applied to a binary operation with a fixed element B. I would love this to be this. Why? It just looks better because in this particular case I can say that the composition of two different unary operations derived from this binary would be a unary operation which is derived from the binary operation on the basis. I mean, that looks much better. However, I cannot usually say this unless I have associativity. So if my binary operation is associative then I can actually do this. And that's actually why associativity is a very important factor. Associative binary operations produce the corresponding unary operations with fixed binary which really very harmoniously, if you wish, can be described very harmoniously because the composition of the unit operations would be a unit operations derived from a composition of the base elements. Otherwise I wouldn't be able to do this. And now, applying to, for instance, case of inverse elements, what if B and C are inverse to each other? Which means B and C are equal to a unit element of the binary operation. Well, let's say if binary operation is addition, maybe it's five and minus five. If it's a multiplication, maybe it's two and one half or whatever else. So in this particular case, I can say that the composition of these two would be, so if B and C are inverse to each other then C operation B will give me a unit element and then X with a unit element would be just an X. So in this case, H of X would be an identity operation with the X plus unit which is exactly X. So in case my operation is associative, then my derived unary operations have this very good property. The unit operation derived from inverse elements basically is inverse operations. So again, let me just repeat it. Unary operations derived from two different inverse elements inverse in terms of binary are inverse to each other unary operations because B and G would result in an identity in this case. All right, so this is F and G, that's, did that make sense, let me see. Okay, right, just as an example, I don't know, it might actually work just a little bit better if I do kind of examples of this particular case. So let's consider again multiplication. So instead of this number, pound, sign, whatever, I use plain multiplication. Then my unit element is one. Okay, now my unary operation is a multiplication by some number B. Another unit operation is a multiplication by some number C. Now, if B times C is equal to one, it means B and C are inverse to each other, then obviously my F composition with G would be, first, I multiply, I jumped over one step here. I did not mention that multiplication is associated with operation and that's why consecutive application of first G and then F, let me put it here, F of G of X, what is it? Now, G of X is X multiplied by C. And now the F application is multiplication by B. But since we have a multiplication and multiplication is associated, if you have three different numbers multiplied by each other, it doesn't really matter what the order is. That's why it's X times C times B. So that's why I have written this. It's only because my multiplication is associated with operation. But now if B times C is equal to one, or C times B equal to one, this is X, which means F of G, F and G, or F composition is G, is an identity operation. And that's why we're talking about F and G being inverse to each other in terms of unary operations. All right, there are certain additional properties, a little bit more, maybe, I would say less trivial, more difficult, it's probably too stronger word. And I might actually go through exercises on the website and some other lectures. Basically, I wanted to give a general description of operations as just one small step into the abstract world from something which we all used to have, like operations of multiplication, addition, rotation, negation, whatever else. So again, the purpose of this is to prepare you for abstract thinking, to prepare you to create certain objects just in your head, completely unrelated to the real world. That's where the pure creativity is.  Okay, that's it for today. You can always find this lecture and many others on unizord.com, which is a very, very convenient website, not only for the students who want to learn a little bit more deeper or more interesting math, but also it's very useful for the parents who would like to supervise the educational process of their students, their children. Teachers might use it as an additional educational material because it's easy in a way that students can basically study the theory using my lectures and then go through the exams. And the purpose of the teacher in this case is just to basically check how the exams are going. That's it, thank you very much.


This study examined the motives for first participating in park run and the impact of volunteering versus running slash walking. It found that volunteers were more likely to be older, retired, and less active at registration. They also had higher levels of motivation to give something back to the community, to feel part of a community, and to help people. Additionally, volunteers reported greater improvements in connection with others, including feeling part of a community, meeting new people, and spending time with friends. Volunteers were also more likely to report improvements in mental and physical health. This article was authored by Steve Hawk, Helen Quirk, and Alice Bullis.


Hello everybody. This is kind of an interesting video. This is one of the things that you wake up to sometimes when you have a YouTube channel I was accused of stealing my own video So let's take a look at the situation. Just a quick shout out to my members I don't have the slide in here just because this is not a normal tutorial just kind of me ranting a little bit So I apologize for that, but thank you guys for your support. So yeah, so I woke up this morning and Here's what I saw on my YouTube channel now Just before I went to bed last night I got this copied video and I wrote back, of course, you know copied from where this is the original and you'll see That person replied shut with some inappropriate language up mate Just because you have no talent doesn't mean you can copy people's work This is copied from free code camp getting Reported and what this person is referring to would be this Here on free code camp. You can see that they have pong and I'm gonna scroll down and it says Python game tutorial punk and they published this in December of 2018 So that's that's what this person is referring to So let me go and show you my response to that So I actually actually I responded on my channel But I want to delete that because it does have bad language and you'll see why here in a second So I went and I found this person's channel and I just posted on their channel just a quick response And I just wrote yeah, I'd appreciate if you're gonna comment on my channel that you use proper language Avoid dropping F bombs if at all possible. I teach middle school students I'd rather keep the language clean for them I have students right now in middle school following my tutorials They don't need to see that and then regarding your accusation of me copying my own video from another source If you watch the free code camp video It is exactly the same because they used my video with my permission of course. This is how free code camp works If you look at free code camp, they don't make their own content At least not that I know I mean they don't make a lot of it They find videos that they like they think would be good for their audience and they contact me said hey We'd like to you know edit your video and you know put it up and use it We'll put a link back to you and everything more than happy to you know donate whatever my time effort Whatever that is and I'm sure I get a lot of viewers from free code camp I'm very grateful they they chose that so if you look back here at the Yeah, the free code camp page you'll see right here it actually has my name Tokyo ed tech if you go down to the You know that the the comments here the description It has a link to my website, which is now down, but I got to fix that It actually has a link to the my YouTube channel So this person needed to do a little bit more of research. Let me go back finish my response Yeah, if you watch the free code camp video the second line of my code says buy at Tokyo ed tech That's me in the description. It also has a link to my channel under my original name Some of you have been around for a while. You know, I switched from using my name name to Tokyo ed tech Also note I published my video in August of 2018 free code camp published theirs in December of 2018 that would be a good trip to copy a video that didn't exist So do a little fact-checking this time and save us both say both of us the effort mate And there's some links too.  So let's go take a look at that real quick So again, here's the free code camp version Again note December 20th 2018 note here is my version posted on August of 2018 and Yeah, that's pretty pretty obvious. Now just for those of you who don't have a YouTube channel You're curious about how the some of these things work You know copyright violation is a very common thing it happens all the time and I get notifications If somebody takes the actual video YouTube will for me they will they have this thing where They they are constantly scanning for people using your stuff and you get these little Notices and says hey, you know, we found your video you can see over here How much of their video is taken from your video and you can request a removal you can message I? You know in a case like this. I just you know, I just let it go. It's not a big deal But what I do find I think with my tutorials in particular is if I search If I go so for example, so I think Python Pong tutorial and I filtered this by just this month And because people are constantly people are constantly using my code which doesn't bother me so much But just you know, hey give a little credit or credits do I look down through here earlier before I record the video This person I think basically copied my code But they did enough That's different that I really feel that they made it their own So I don't feel like this person copied for me I feel like they've remixed it and added their own ideas and it was really an original piece of work Yeah, this person actually is a really good coder check Sam or Ronak. Yeah, did a lot of really nice stuff with this video But you can also see if you look closely they also have space invaders I'm sure they use my code at least as a an inspiration Let's say and I do the same thing nobody nobody invents all this stuff on their own Everything's a remix friend of my really good book about it. I'll see if I can put a link down below About how creativity and where we get our ideas from I should check that out if you get a chance And then there's my platformer thingy which is coming up and if I scroll down a little bit more Looking at this. I know this is pretty much My program because it looks just like what I could they changed the colors, which was nice That was that was a nice little touch. But if I go into this And I do this a lot as I look and If I look at this code, this is the exact I mean line for line The only thing this person did was change the name of the paddle so instead of paddle a they used p1 Instead of paddle B. They use p2 instead of ball. They use BP But you know, it's the exact same order exact same structure Exactly exact same spacing so clearly this person has used my code and let's see if we got any credit and No, of course not. So what I'll do is I'll put a little thing here. I'll just say hey, you know, I know she's my code I don't mind it. Everything I do is creative commons You know, I I hope people use it, but I just do appreciate a link back and just you know Hey, I got the basic idea from Tokyo ed tech Check his channel out blah blah blah Yeah, so that was yeah, that was my that was my morning so, you know Just couple lessons from this is you know, if you're gonna accuse somebody of something Do your research and just make sure that you are correct You know, if somebody does copy something if you do see somebody copy something say hey Notice you copy this from X source here is a link. Yeah, you might want to give that person credit Okay, we can do this people can copy stuff and we can do it in a nice polite way That makes it better for everyone and you know when people do give me a link back I do sometimes say hey check out what so and so did with my code. They did a really nice job with it so we can we can all help each other and respect what each other's effort and each other's work and Yeah, make the world a better place. Anyway, thanks for watching just a little bit of a rant I know it wasn't a tutorial, but these things kind of happen. It's kind of funny But you know, I just I didn't I didn't really appreciate the swearing just because again I do teach young children and I'm gonna delete that comment now that I've made the video. So anyway, everybody else You know respect the creators and yeah, keep on good and take care


Welcome to the weather forecast for the week beginning Wednesday, December 7th. I'm Chief Meteorologist John Ensworth The next lunar phase is Thursday December 15th. We had a full moon on Wednesday Recording this just a little late things were a little crazy. It was kind of fun that the full moon did cross over Mars last night So I had a little star party out in the observatory and got to see all that going on You could see the moon approaching The planet that quickly so I'll have to repeat this one next time because it'll be in the next Week as well The Sun's really active right now and they're facing us. There's possibilities for some big geomagnetic storms so yeah, lots of stuff if you have a Safe way to view the Sun. This would be an interesting time to take a peek at it Looking at drought conditions things got a little better in northern Colorado we finally have an update here and Nationally, there's been a little relief on the plains in the mountains and in the West as you go from last week to this against snow our Progressing through we're just a tiny bit above normal now a hundred and six percent. So this is great We're just tracking along with normal keep getting snows Perceptation as promise stayed in the mountains and pretty significant amounts of water here two to three inches of liquid in the yellow and higher Even the greens here are half inch of moisture So great on the plains not so much, but that probably will change a little bit looking at Convection possibilities nothing really in Colorado for the next three days. Nothing severe nationwide There is this ongoing hits of Western Mountain snows Going to Thursday a little bit of mountain snow Friday or dry That's nothing really smoke wise nationwide either Our normal temperatures are starting to level out for the winter 43 to 42 is the high Temperature drop 17 to 17. So I'm not dropping anymore. I think it goes down another degree Maybe in January February or two. Let's take a look at that next time We do have a sign of a pretty good storm at school here This is the first day of finals on my Monday into Tuesday next week Looking at the water vapor satellite we have a subtropical jet coming in through here we got the polar jet up north and A little swirl here. That's what was causing some snow Flurries and snow showers up along the northern part of Colorado Wyoming border But it's not much. It's just kicking off the snow in the Western Mountains as well So that's what looks like Wednesday noon. It's a little ripple jet stream I see pretty good jet stream winds a lot so the clouds are kind of moving quickly The next significant system is this huge cutoff low. We'll see it in the animation. It's really interestingly large I haven't seen a pattern like that. I can remember strong jet on the Front side of it the low goes right over a long Tuesday and there's snow wrapping around a surface low And that time is in northern Kansas So, yep, this looks like a pretty good one Further out and this is in fantasy world and this is how many days that's about 15 days from now Two weeks more. That's Christmas Eve or Christmas Eve Eve a big funny looking trough coming in and snow for the the state so we might If you count a white Christmas is having a snowpack on the ground It's looking really good for that if you have to have falling snow on Christmas day or even Christmas Eve night or something Maybe not. I think this storm will be out I just looked at the latest data and it's not quite as impressive as this. It's a little More focused to the southern half of the state, but still some snow showers on the 23rd into the 24th Morning are looking like a thing So let's put this into motion. Here's our first ripple going by Going into the weekend. We get this little ridging happening Another trough goes by on the weekend, but it's energy is way up north and then we get ridging for warm temperatures again There is we're going to sunday into Monday this big bowling ball begins to form out west and cut off and Roll slowly over the state that allows us to get more moisture in with the slow living But look how look how many concentric circles are here Jet streamers are nowhere to be seen. So crazy Then going into the 17th things really become more zonal west to east another deep south ripple here Starts over so circuit temperatures nothing really cold happens until that Thursday storm That's how Tuesday storm moves in you can see really above normal temperatures down in the southern part of the nation There's some cold up here in Canada unusual coldness But it's not till Tuesday that that starts to finally fill in and run over the state and push out onto the planes the old Gloss of spilled milk kind of and you can see the cold front that making it down into the Gulf Really good source of cold air there And that's some 17th you get a reinforcing shot of cold on these 18th All right, so let's take a look at the snow. Here's our Wednesday into Thursday things slipping on by to the north off it goes for Friday Saturday that next ripple went by but there just isn't much moisture with that at all Here's that big bowling balls Starting to form in the West snow in Utah a lot crazy and on Tuesday. It comes on in and Northeastern Colorado gets a pretty good hit. So at least a few inches and Then it rolls very slowly out lots of Wrap around to our north if that drifts a little bit for the south We could get extra day a very light snow. There's another blob for the 17th All right, and taking a look at the next five days moisture-wise it's all in the West and up here north of the border a Little bit of snow and almost all of that In the next ten days This is just over a quarter of an inch of moisture not quite a half inch of moisture I'd be great if that really all comes the amount of snow is in the two to three inch area three to four inch area Boulder a little bit more That's in the five to six inch Category so yeah, this this could be one that definitely slows you down driving around So 40s and 50s through the weekend Sunday very warm with 56. That's that ridging going by And then the temperature drops are you stable or freezing with that at this point a pretty good chance of snow Might even this point bump up to 70 80% chance Longmont leader Brewingfield leader has Frequent weather updates and lots of local news. So check those out. This has been weather forecast Chief meteorologist John insworth saying keep looking up Almost forgot my catchphrase