#A3 Problem Solving

[happyceostrategies]

Empowering Small Enterprises with Lean Manufacturing: Achieving Autonomy, Innovation, and Competitiveness

Unlocking autonomy through Lean manufacturing Lean Manufacturing isn’t just about efficiency; it’s about finding the best way to do things. It’s like a secret recipe that saves money, improves quality, and makes customers really happy. That means spending less, making fewer mistakes, and winning people over. Lean Manufacturing, often linked to big industries, has something for every business.…

[icharchivist]

cut to one year later where Itaru being part of the troupe saved Citron's life when he was abducted

the problems are baked into the company sweetheart, you're part of the solvers. somehow.

[blueikeproductions]

Void Rivals revealed what Zerta Trion properly looks like, with a twist!

She was originally Beta, the one off resistance leader and fighter back in Cybertron’s ancient history in the G1 cartoon.

Like the cartoon she also worked with A3. In hindsight, that should’ve been obvious since Zerta Trion had connections with Alpha Trion in the Skybound comics from the start…

To make this connection clearer, her “older” form is a feminine version of Alpha Trion’s G2 design mixed with Beta.

Interestingly Optimus was apparently part of the Age of Wrath as Orion Pax according to this flashback, though how this version of Orion becomes Optimus yet we don’t know.

In the G1 cartoon, Orion was a young dock worker post Quintesson who idolized Megatron, but was betrayed by the tyrant, left for dead, until the Aerialbots happened upon a young-ish Alpha Trion to repair him.

So how this may further explain Skybound Optimus Prime will be interesting…. Or it’s a red herring, like in the Cobra Commander prequel where CC’s original cartoon Cobra-La body was shot dead by the actual human CC.

As for Zerta, her being Beta is a pleasant surprise, but while it’s one of those hindsight things, it’s still a fun way to repurpose an old character.

The twist she’s Beta does make me conflicted as I think I would’ve preferred her being her own thing. Zerta Trion also throws an interesting wrench in the concept of the 13 Primes if she winds up continuing to be Alpha Trion’s counterpart in stuff outside of Skybound, the same way the Thirteenth Prime isn’t always Optimus and is sometimes Zeta Prime.

This leads me to the other reveal of the issue: Goliant.

The series still hasn’t clarified for certain if the Quintessons created the Transformers like in the 80’s cartoon, but they did for certain build Goliant.

Goliant is the robot contained within the Sacred Ring’s black hole in Void Rivals, with his true purpose being a colossal weapon to be used against the Transformers. Zerta led him away from Cybertron but in the process caused him to feast on the Sacred Ring’s original star, destroying the Zertonian and Agorrians’ home planets. Trying to solve multiple problems at once, Zerta oversaw the evolution of the Zertonians and Agorrians, building the Energon producing Sacred Ring while Goliant was distracted so he could be sealed in the resulting black hole. To further weaken Goliant, his essence was split among the Zertonian and Agorrians’ ancestors, which is why the two species coming together is seen as bad among them. Zerta’s goal of the Ring to produce Energon was to solve Cybertron’s growing energy crisis, implying it began well into the war against the Quints.

Who Goliant might wind up being retroactively isn’t clear at the moment, but many speculate he will eventually become Unicron. I have reservations about that due to a habit of Hasbro’s to over rely on Unicron see the anime trilogy, Prime, Netflix WFC, Prime Wars, among other things, as well as Skybound not having too many characters unique to it. Shredhead is pry the only example they currently have. It’s something that can be done in moderation, as a common complaint with IDW was having too many OCs like Rung and Nautica. For better or worse, IDW having some Transformers specific to it like Tarn helped give it a unique identity, and while Skybound has a unique identity in other ways, I kinda wish it had more unique robot characters that isn’t just the usual G1 cartoon cast reshuffled a bit.

So I’d kinda prefer Goliant be his own thing instead of Unicron. In my mind he’d be a better executed version of the Dead Universe Decepti-God D-Void (but with more Quintesson parts instead of generic robot demon thing made of Sweeps).

However, what can we get from the Quintessons having built Unicron?

Unicron being an artificial being is surprisingly common. While most fans, and Hasbro, tend to prefer the Marvel Comics take where Unicron is a dark god of chaos, a lot of stuff goes with him being the rogue creation of someone.

The G1 cartoon famously depicted Unicron as being built by the alien Primacron, a being the sea monkey sought to scour the universe so he has a fresh template to experiment with. Japanese media went nuts with this, with Primacron being an ancient survivor of the universe prior to ours, using Primus’ power to create all mechanical life including the Quintessons and (indirectly) the Transformers.

Prior to Primacron, the first draft of the movie instead stated Unicron was created by the Junkions.

The Junkions built Unicron as a beacon of peace, but their magnum opus malfunctioned and became the planet eater instead.

IDW also went this direction, with Unicron being built from the dead planet Antilla based on ancient technologies from its original inhabitants, slowly evolving into a more traditional Unicron after assimilating the 12 Transformer colonies.

As for the connection to the Quintessons, early movie media would state they worked for Unicron, but it was ultimately an abandoned concept as the movie never reconciled the idea. It was never made clear if Unicron was their creator, they created him, or if the Quints were forced into servitude.

If Goliant becomes Unicron later, it’s possible his connections to the Quints could be the Skybound staff referencing this abandoned idea. …Or it’s sheer coincidence, but the team does browse the TFWIKI from time to time, so they probably are aware of the idea.

It’s also been revealed the Quints may just be responsible for all of Cybertron’s worst enemies, as Megatron was kidnapped and experimented on by them before the Great War, using a technology that Megatron seems to currently employ on his own troops going by Starscream.

The Quintessons are truly at their best in Skybound, where WFC, TFONE and EarthSpark failed to make them stand out as credible contenders. Cyberverse certainly tried, but their versions are largely forgotten… The Energon Universe is truly the Quintessons’ playground it seems, now if they also somehow created/influenced Cobra-La I’ll be happy. (Why is this ok over Shockwave? Shockwave over exposure via IDW that’s why, delegating cosmic nonsense to the business minded Quints is more fitting anyway.)

[asordinaryppl]

A3! Backstage Story Translation - Sakyo Furuichi SSR: BE.MINE ver.SAKYO - Part 3

Izumi: I’m MANKAI Company’s Tachibana. I look forward to working with you today!

Sakyo: I’m Sakyo Furuichi. I will be in your care.

Staff: We look forward to working with you. I apologize for holding this shooting so early in the morning…

Izumi: Please don’t worry about it, you had to rent out an entire movie theater.

Sakyo: I’ve got no problem with mornings, so please don’t worry about me.

Staff: I’m happy to hear that. Okay then, I will call for you once the camera is ready.

Staff: Oh, and those drinks over there are okay to drink, so please help yourself!

Izumi: Thank you.

Izumi: They’ve even prepared drinks from the store.

Sakyo: Seems that way. Are you thirsty?

Izumi: No, I’m good for now. But still, it’s strange to be in an empty movie theater.

Sakyo: It’s not often we get the chance to be in a reserved movie theater.

Sakyo: It’s only thanks to the situation prompt that we get the chance to do something like this.

Izumi: That’s true.

Staff: Thank you for waiting! We’re all finished with the preparations, so if you could please come this way!

Izumi: Break a leg, Sakyo-san!

Sakyo: Yeah, thanks.

-

Sakyo: I look forward to working with you.

Cameraman: Likewise. Okay, Furuichi-san, if you could stand on the stairs over there….

Sakyo: Is this alright?

Cameraman: Yes. Then, please hold out your hand. As if… you’re asking someone to come over.

Sakyo: … Like this?

Cameraman: Yes, yes! I’ll be taking the pictures now!

-

Cameraman: Doing great so far! I’ll have you sit next. Please face the camera.

Sakyo: Okay.

Cameraman: I’ll be taking some pictures like this.

Izumi: (… Hmmm, he doesn’t really seem like a boyfriend like this…)

Sakyo: Excuse me. Could you look at the pictures we just took and tell me whether they give off the feeling of a boyfriend on a date?

Cameraman: Let me check real quick.

Cameraman: … Well, now that you mention it…

Cameraman: It is a little difficult to get the feeling that you are with someone just with these.

Cameraman: What do you think, Tachibana-san?

Izumi: I think so too, to be honest. It’s like I can’t really imagine where the other person could be…

Izumi: But I believe that this would have worked, if it weren't for the date part of the situation prompt.

Sakyo: The feeling that someone’s with me, huh…

Sakyo: … Maybe holding a drink could help solve this. Could I ask you to prepare one?

Izumi: (Oh, I see…! That might really help!)

Cameraman: Of course. Let’s give it a try!

Izumi: I will go bring one!

-

Izumi: Here you go, Sakyo-san!

Sakyo: Thanks.

Cameraman: ! That just now was good!

Staff: I agree!

Cameraman: Furuichi-san, please direct that exact gaze to the camera!

Sakyo: Okay.

Cameraman: You looked like you were looking at someone you love just now! That was good!

Sakyo: Someone I love…?

Cameraman: Yes! It was truly great! Let me take a few pictures.

Sakyo: … I understand.

Izumi: (Sakyo-san has a really gentle expression on his face. Just by holding a drink, it looks like someone is with him.)

Staff: Including a drink was a great idea. This will make for a great photo!

Izumi: I agree. I can’t wait to see the finished product!

-

Izumi: Good work today, Sakyo-san!

Sakyo: Yeah, you too.

Izumi: I’m glad the scene just now went so well.

Sakyo: It’s all thanks to you, Director-san.

Izumi: All I did was bring over the drink like you requested, the rest was all your face!

Sakyo: … Well, if you’re fine with that.

Izumi: By the way, Sakyo-san, are you hungry?

Sakyo: Now that I stop to think about it, yeah. Let’s stop for breakfast on the way back.

Izumi: Sure! Actually, there’s a shop nearby that serves this morning curry I’ve been dying to try!

Sakyo: The hell’s a morning curry…?

Izumi: Moreover, there are three types to choose from! And they’re all only available for breakfast.

Sakyo: … Geez, that’s exactly what I oughta expect from you. Alright, lead the way.

Izumi: Of course! I know where the shop is, so leave it to me!

part 1 | part 2 | part 3

[k00320518]

movement project- Scale Painting: small scale

Working off of this photo I took last year that fits well within my subject theme of birds.

The connecting thread between my paintings has been the birds themselves, possibly form + shape and also the wires present.

I used a small piece of hessian that had already been painted white. I kept the normal edge of the hessian as I like the rough look to it and the seam adds character. Due to impatience I did this piece really quickly, painting the background the day before, adding the tree.

I problem solved on how to carefully do the wires. I had thought to try use the hessian twine string to print the lines on but I found it easier to simply tape on the painted string. I later glued it down with PVA. I think it looks more interesting like this with a minor 3D element.

Photographed the colour looks less accurate to my photo.

Here it is in comparison to my A3 painting (which is kind of like a medium size if it were included in the scale series as a third painting)

I must get a photo of it compared to the crane painting

[burlveneer-music]

Organic Pulse Ensemble - Ad Hoc - I missed this album that came out in November, on Ultraääni Records

Ad Hoc is the latest offering from Swedish multi-instrumentalist Gustav Horneij, under his Organic Pulse Ensemble alias. True to its name, Ad Hoc embraces spontaneity and the art of being in the moment, with each track crafted using a Tascam four-track tape recorder. Playing all the instruments himself, Gustav used this minimalist recording method to capture most performances in a single take, leaving no room for the digital safety net of endless edits. Instead, mistakes became opportunities, reshaped into defining features of the album—a process Gustav calls "problem-solving on the fly." The result is a vibrant collection of spiritual jazz compositions, where modal grooves, layered percussion, and emotive saxophone and flute solos converge with Ethio-jazz and Eastern influences. While the album retains the meditative and exploratory qualities that characterize Horneij's work, tracks like Solid bring a funkier, groove-driven energy to the mix, adding dynamic contrast to the album's soundscape. Released as a joint effort by Ultraääni Records and Puro Recordings, this limited LP pressing is a testament to Gustav's dedication to organic, soulful music-making. Ad Hoc is an invitation to dive into the raw, unpolished beauty of music made in the moment—mistakes and all.

[the-himawari]

A3! Yukishiro Azuma - Nomadic Bartender Mini Conversations Translation

*Please read disclaimer on blog

---

Practice Conversation 1

So Stinger is a fortune teller, hm?  

It reminds me of the fortune telling event I assisted with in the past.  

I think I’ll ask Julian to tell me all about fortune telling to help me prepare for my role.  

Moreover, Stinger, who I play, and Wiz, who Guy plays, have a complicated relationship.  

I’d like to discuss with Guy and develop the scenes where they exchange words.  

There are also magic and action scenes this time around, so I have to put in effort to practise those as well.  

Practice Conversation 2

Banri also mentioned that he wanted to pay special attention to the direction of the magical action scenes.  

Yesterday, Banri, Tsuzuru, Rento, and Akashi were all discussing them together.  

The standing positions, effects, sound, and lighting…  

They were talking about how to make them all work together.  

They were shouting all kinds of sound effects and suggesting they should do this and that. They looked serious, but also like they were having fun. Their eyes were sparking.  

Seeing them, I felt excited myself. And I felt that I should work even harder during our rehearsals.  

Practice Conversation 3

Say, Director. What would you do if I told you that I’m actually a wizard?  

Just like Stinger, I blend in with the regular folk…  

But the truth is, I can use secret magic.  

…Fufu. Just joking.  

A wizard… I think it would be wonderful if I could save someone with magic or fortunes, and give advice…  

Or make magic cocktails that solves people’s problems for them.  

It sounds like a dreamy, fantasy world, doesn’t it?  

I may not have those wonderous powers, but I can be there for someone and help them out.  

Even though I’m not a wizard, I want to be someone who can always lend you a hand and who can be trusted by the princess that you are.

Azuma & Masumi Talk

Azuma: Speaking of bartenders, I recall that time you and Juza performed in the dorm’s hidden talent contest in the past. Fufu. You two performed flare bartending under the name “feat. Team Manju”, right?*  

Masumi: Yeah. We dressed up as bartenders and performed using bottles and shakers.  

Azuma:  Your bartender’s outfit and performance were really dashing.  

Masumi: Thanks to that, we won the hidden talent contest and Director told me she felt a different charm than usual… …I got a lot of help and advice from you back then.  

Azuma: I’m glad if I could help. How about doing that performance again for the first time in a while?  

Masumi: …Maybe. It made Director happy, so I’d like to try out some more difficult techniques and show her.  

Azuma: When you’re able to drink alcohol, maybe I’ll ask bartender Masumi to mix up a drink for me.  

Masumi: Well, I trained for my performance while listening to your advice. Of course, the very first drink I make will be for Director… But I can make one for you after that.  

Azuma: Fufu, I’m delighted. I’ll look forward to it.

---

*References the Everyone's Old Year, New Year event story

[samobservessonic]

After a short break to solve a problem that may have only been a problem because I decided it was one, I’m back! With my own scans for this issue. As you can see, the text on the right is slightly cropped off, which is a shame, because I like the typography on “Porker gets the chop in The Big Decision”, but I now understand why a lot of the StC scans you see online are like this - I can imagine the vast majority of British Sonic fans in the 2000s who were scanning their StC issues for archiving purposes were probably also using the same kind of cheaper A4 scanners like what I have. And StC issues are slightly larger than A4. Maybe one day a wealthy Sonic fan with an A3 scanner and a lot of StC issues in pristine condition will come along and do the job properly, but for now, we make do

As for the cover itself, this one is pretty iconic, I think. It’s even one of the ones that gets remade much later on when StC goes into reprints. I haven’t read this issue before, but I remember this cover. That’s why I was a little confused when Porker turned up at the start of the current Knuckles story and casually mentioned that he’d retired from active duty in the Freedom Fighters. Because I was like, “Wait, wasn’t that a big deal? I guess not?” But it looks like it might’ve been the case that the Knuckles story was supposed to run after the main story in this issue. Honestly, whenever I see folks complaining about stuff like the 2024 IDW Sonic Annual having a few stories ahead of the current arc I’d say it’s nothing to worry about - scheduling has been tricky in Sonic comics since the 90s, as we’re seeing now with StC

And while it would be cool if StC had something like the hardback collections of IDW, where they put all the stories in their intended order, it’s not a deal-breaker for me that sometimes the timeline of events is a bit wonky

[myuntachi]

[A3! Event Story Translation] A Mechanical Christmas Ch.4

proofreading: @asordinaryppl

📍Practice Room

Homare: “Now then, as I approach the end of this life of mine, behold my finest creation–The snow machine!” 

Masumi: “This is… snow. It’s white and cold… When you touch it, it melts away in a heartbeat.” 

Masumi: “This is the first time I’ve seen such a beautifully fleeting thing…! Master, so this is the treasured scenery that you have spoken of!” 

Homare: “...Indeed. I wished to show you this in my final moments.”

Masumi: “...! Master, Master…!”

Homare: “......” 

Masumi: “…Yes. I really saw it. Your first ever smile…”

Izumi: …

Itaru: It’s just a rough run-through, but the flow feels good.

Tsumugi: Yeah…

Homare: …

Izumi: You couldn’t do it after all, Homare-san? 

Homare: Indeed. So you too noticed, Director-kun, Tsumugi-kun. 

Tsumugi: …To be honest, I thought you were a bit too enthusiastic about the role division.

Homare: So it does seem… I am consciously attempting to keep my emotions at bay.

Homare: However, I must have been too conscious of it, so much so that it perhaps showed through. 

Homare: Surely, if it was the me of the past…

Omi: We still have time. If we just work on it piece by piece, you’ll definitely get it down in time.

Kumon: Yeah! Let’s try it again!

Homare: …Indeed. May we give the final scene another go?

Tsumugi: Of course. Let’s do it as many times as you’d like.

Masumi: …

　ーTimeskip

Izumi: Let’s call it a day here.

Good work, everyone!

Homare: Good work. Now then, I shall take my leave.

Izumi: (They all have things to work on, but I wonder if Homare-san will be okay…)

Itaru: GW.

Kumon: Good work!

Omi: Let’s give it our all again tomorrow.

Masumi: …Tsumugi, can I talk to you?

Tsumugi: Hm? 

Izumi: Are you two going to practice together a little more?

Tsumugi: Yes, just a little.

Izumi: Alright. Then I’ll leave you two to it.

Tsumugi: Is it about Homare-san?

Masumi: …Yeah.

Masumi: I noticed something about his acting too. 

Tsumugi: I see. Your role has the most scenes with Homare-san’s, after all.

Masumi: If we push our current selves as hard as we can for the days we've got left, we'll probably put on a good enough show. But that’s not what we should be aiming for.

Masumi: I think Homare probably knows that too, though.

Tsumugi: You want Homare-san to be the best he can be, so it’s natural for you to worry.

Masumi: He said that the role is like his past self.

But to be honest, I don’t really see it.

Masumi: So I wanted to ask you about him. 

Since you’re both in the Winter Troupe, I thought you would know something.

Tsumugi: …I see, you thought that there would be a clue to solving this problem. 

Masumi: …Yeah.

Tsumugi: There is something I know, but… It’s not my story to tell.

Masumi: …

Tsumugi: If you really are worried, you should try asking him yourself. 

Masumi: Even though it's something you can't talk about, Homare will tell me?

Tsumugi: Hmm, I wonder. 

But… If it’s the current Homare-san, I have a feeling that he’ll talk to you. 

Masumi: Ask him myself…

Masumi: Oh yeah, Homare said he’d gone to PunkPark a long time ago.

Tsumugi: I see. Then, maybe something happened back then. If that’s the case, maybe something will come up if you go there.

Masumi: Alone with Homare…

Tsumugi: You don’t have to make that face…

Tsumugi: Just think of it as role building. 

Now that I think about it, maybe we should all go together.

Tsumugi: I’d like to take a look at the venue in advance, at least.  

I want to see how large the stage is and what the snow machine is like.

Masumi: (Is that Tsumugi’s motive?) 

Masumi: (But if I want to deal with how things are right now, I guess we have to go…)

[previous] | [event masterpost] | [next]

[yurayura-kurage]

A3! Troupe Event: MY WORST WEDDING | Event Story Translation (5/11)

Neither Japanese nor English is my first language so please forgive me if I made mistake. However, feel free to point me out, I’d love to hear your feedbacks on the translation ˶ᵔ ᵕ ᵔ˶

Translation under the cut

.・。.・゜✭・.・✫・゜・。.

Azami: Hmm–, well this isn’t bad either but… I’d like to give a more dignified impression of a former soldier.

Juza: Should I gain more muscles?

Azami: That’s okay, but I want to do something about the hair makeup plan too.

Juza: Omi-san will have his side hair shaved right.

Azami: Yes. Juza-san’s Grayson has a scar on his eyebrow, do you want to have an updo hairstyle with your bangs slicked back like Omi-san?

Juza: Sounds good. It also suits Grayson’s image.

Azami: Then, we’ll go with this hairstyle… 

Juza: What are you planning to do with your own hair makeup? Are you gonna dye your hair blonde?

Azami: I’ll never have my hair matched with Sakyo’s.

Juza: …That’s right, speaking of Sakyo-san, I heard his sister came to our dorm.

Azami: Your brother also asked me the same thing.

Juza: Kumon was surprised about how rare it was for Sakyo-san’s sister to come to the dorm. 

Azami: So that’s it. It seems that she came to consult about Sakyo’s mother.

Juza: Sakyo-san’s mother you say–– Did something happen to her?

Azami: No, it’s not something bad–. Sakyo’s sister wants to have a wedding photoshoot for her parents on their upcoming wedding anniversary.

And she wants her mother to wear a wedding dress, but her mother didn’t want to. That’s why she came to ask Sakyo to help persuade her, but Sakyo refused.

Juza: I see…

Azami: By the way, Sakyo’s mother is a fan of yours right?

Juza: Aah, she’s been taking care of me a lot. 

She gives me presents during the run of Autumn Troupe’s performances, so I always contact her to say thanks every time she does that.

Azami: You even know her contact info.

Juza: Sometimes before the performance starts, she sends me a support message and asks how Sakyo-san’s been doing recently.

Since it’s that person, Sakyo-san doesn’t contact her by himself too frequently. And it seems that the old lady also doesn’t often contact him directly. They’re just like mother like son.

Azami: I see.

Juza: While caring about each other, they don't seem to be some busybodies that can interfere so much with each other’s lives. 

About the wedding anniversary celebration too, it must be difficult for Sakyo-san since it’s not something he’s good at.

Azami: …

Juza: It’s just, I don’t know a first thing ‘bout wedding but it seems to be a memorable event.

My mother often talks a lot about wedding, too. We also have photos decorated in our house.

Azami: ...I also heard from my mom before she passed away, that she wanted to wear a wedding dress. In my parents’ wedding ceremony, she wore an all-white kimono to match with my father.

If possible, I think she wanted to wear one before she breathed her last breath. Sakyo’s mother and mine are somehow similar.

Juza: I see…

Azami: Sakyo’s mother said that she didn’t want to wear a dress because she wouldn’t look good in it now, but I don’t really think so. 

When I talked to Yuki-san about this, he said age didn’t matter. I think makeup can solve that problem.

Well, nothing, neither Sakyo nor his sister asked me to be all fussed over and act like this tho… Maybe even Sakyo’s mother doesn’t have that much fondness for a dress to begin with…

Juza: …Shall we go and meet her.

Azami: Eh?

Juza: I want to meet her in person and show my gratitude too. Then why don’t you ask her what she really means?

There might be some true feelings she can’t tell her son and daughter, I guess.

Azami: Well… It’s true that such things can also happen. That reminds me, there is something I want to say thanks to her, too.

Juza: If so, I’ll contact her then.

*At the living room*

Omi: I’m home.

Sakyo: Welcome home. You’re late today.

Omi: Sorry, my work took longer than expected– I’m in charge of dinner for tonight, so please wait a bit.

Sakyo: Then I’ll lend you a hand.

Omi: Thank you!

*Shifts to kitchen*

Sakyo: Did you have another shooting work today?

Omi: Yes. It was a pre-wedding photoshoot taken in the park.

I was so excited to take a miraculous photo that I ran to the local shop on the street to buy white sheets in replace of the reflector boards… 

I was dripping in sweat.

Sakyo: That was tough, wasn't that.

Omi: But it’s great to keep an once in a lifetime moment like that. I think it’d be nice to take my job seriously for that moment.

Sakyo: …You, did you hear something from the Director or Bon? 

Omi: Eh? What do you mean by that…

Sakyo: No, nothing.

(Even if it’s a once in a lifetime commemoration, it’d be meaningless if she didn’t want to…)

.・。.・゜✭・.・✫・゜・。.

Previous || Next

[22ums115]

Algebra - Introduction and Basic Formula

INTRODUCTION AND BASIC FORMULAS IN ALGEBRA

Algebra is the part of mathematics that helps to represent the problems or situations in the form of mathematical expressions. Algebraic formula are used to simplify the algebraic statement. Algebraic formulas are useful for resolving algebraic, quadratic, polynomials, trigonometry, probability, and more.

Introduction of Algebra

Algebra is the branch of mathematics in which arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers. The notion that there exists such a distinct subdiscipline of mathematics, as well as the term algebra to denote it, resulted from a slow historical development. This article presents that history, tracing the evolution over time of the concept of the equation, number systems, symbols for conveying and manipulating mathematical statements, and the modern abstract structural view of algebra. For information on specific branches of algebra, see elementary algebra, linear algebra and modern algebra.

Algebraic Formula

Algebraic formulas are the combination of numbers and letters to form an equation or formula. The algebraic formula is a short quick formula to solve complex algebraic calculations.

Algebraic properties

The properties of algebra enable us to solve mathematical equations. Notice that these properties hold for addition and multiplication. These properties include the associative property, commutative property, distributive property, identity property, inverse property, reflexive property, symmetric property, and transitive property.

Algebraic Formula

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b2

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca

(a + b)3 = a3 + 3a2b + 3ab2 + b3 

( a + b )3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3 or a3 – b3 – 3ab(a – b)

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

If n is a natural number an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)

If n is even (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)

If n is odd (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +an-3b2…- bn-2a + bn-1)

(a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….)

Laws of Exponents (am)(an) = am+n ; (ab)m = ambm ; (am)n = amn

Properties of Algebra :

Commutative property:

Addition : a + b = b + a

Changing the order of addons does not change the sum.

Multiplication : a x b = b x a

Changing the order of the factor does not change the product.

Associative Property:

Addition : (a + b)+ c = a + (b + c)

Changing the grouping of the addends does not change the sum.

Multiplication : (a x b) xc = a x (b x c)

Changing the grouping of the factors does not change the product.

Distributive properties: 

Addition : a × (b + c) = a × b + a × c

Multiplication :  (a + b) × c = a × c + b × c

The distributive property states that multiplying each element by a single term and then adding and subtracting the products is the same as multiplying each component by a single term and then adding and subtracting the products.

Rule of multiplication over subtraction: p (q-r) = p*q – p*r 

If p, q, and r, are all integers.

Left distributive law if p* (q-r) = (p * q) – (p*r)- and

Right distributive law if (p-q)*r = (p*r) – (q*r)-

What are the properties of Algebra?

Associative Property

Commutative Property

Distributive Property

Identity Property

Inverse Property

Reflexive Property

Symmetric Property

Transitive Property

Read more...

[aley-nag]

First fanfic bound

After my little introduction into bookbinding I bound my first fanfiction. To edit the text I heavily relied on @armoredsuperheavy and their incredibly detailed "How To Make A Book". Word still kicked my ass... I think I cried a little while trying to implement the pagenumbers but mostly because I didn't read the instructions right. I abandoned the project for a while and started over after a few months and suddenly it worked 🤷‍♀️.

I chose "The Soldier and the Parade" by Stele3 (I don't know if they have a tumblr...). It's an incredibly captivating story about Bucky deprogramming himself after Hydra and working to find his place and live his life. He also has to solve that problem called Steve Rogers. Go read it! It's soooo good. I'm also a really big fan of MCR so double plus.

After I beat Word into submission and sourced the material the actual bookbinding wasn't so hard. I build some tools after noticing how hard some steps are without, but that's something for another post. Here's the result (It took me over a year from August 21 to November 22):

After I finally wrangled the formatting I printed it... at home... It kept eating and crinkling the paper and because of the signatures I couldn't do it in parts and had to start over and over again. Then the ink was empty and I had to get more. Then the toner-dust-container had to be exchanged. Then it refused to print this particular document. It worked with another laptop though, don't ask me why. In the end I had to sit besides it and take every page out. Then I had to press them down because they kept bending upwards and jamming the printer. After three days I could print the other side. Needless to say I know use a local copy shop because I'm not going through that again...

I made two copies. One is just glued (Lumbecker) and one is sewn. At that point I had no Cricut so I printed the Title, cut it out with my nail scissors and stenciled it on the cover. Sadly, it bled into the linen quite a lot. The one one the right I reworked some time ago.

Here you can see the spine, where I noticed that I have to have a minimum thickness to have enough space for lettering.

Aaaand the slightly unclean binding with industrially produced endbands. I didn't yet know how to do them by hand...

Half Title

Front Matter and Headings

Binding Details: Text Body: Garamond, 10 Chapter Heading: Ink Free, 18 Part Heading: schriftgenerator.eu (Bleeding Cowboys) Full Title: fontmeme.com (My Chemical Romance Font) Word Count: 50.577 Pages: 200

The paper is normal copy paper that I had cut out from DIN A3 to get the grain right. That was a very difficult problem to solve

Some progress pics:

That's how I did the binding before I build my own sewing frame... Do you believe me if I said this killed my back? I did it laying in front of it on my stomach and afterwards even my ribs hurt :D not doing that again. At least that ladder finally found some use.

My work table at the moment, though I'm in the progress of renovating a room in the basement so that I'll have more space.

The covers before the final assembly.

[optiwashere]

I'm curious about Karlach's heart. What does Asheera think, what would Gond think?

In my headcanon version of Act 3, Asheera absolutely tries to convince the surviving Gondians in Baldur's Gate to fix her heart. She tries to fix it herself for real with Dammon's help in A2/A3, but it's far too complicated for them given the time and resources they have.

Karlach was her bestie in that playthrough, and she doesn't understand how Karlach can be so optimistic despite it all. Karlach really makes her see how important it is to live in the now and losing her would be a huge blow to Asheera. So she gets a bit manic about trying to solve the problem before time is up, trying anything she can that might remotely work. She pushes everyone to deal with the Steel Watch ASAP because of this.

If I want to explore tragedy I would say that the Gondians don't listen to Asheera for whatever reason that I haven't decided yet.

If I want to have a happy ending because fuck it (like in the masquerade fic) then she manages to convince them without much problem, though likely with constant maintenance required.

Also, there's already hints that the Steel Watch is built on a modified version of Karlach's heart, and you can get that Improved Infernal Iron (or whatever it's called) from them as item drops.

Gond wouldn't think anything of Karlach, tbh. As interesting a problem to solve as she might be, he's still just a regular god that can't mess around with people that aren't his followers.

P.S. I love questions like this about Asheera!!! Thank you for asking these 💜

[asordinaryppl]

A3! Main Story: Part 4 - Act 16: Crossing Paths - Episode 18: Someone I Used To Know

Tsumugi: Good morning.

Staff: Good morning.

Director: Good morning.

Tsumugi: I look forward to working with you today as well.

Director: I’m so glad you accepted, Tsukioka-kun. I look forward to watching your acting today too.

Tsumugi: I don’t have much experience with acting in films. I’m still feeling my way around, but I’ll do my best.

Ryota: Tsumugi-san, good morning!

Tsumugi: Good morning, Ryota-kun.

Ryota: Look, look, I got up to here on the problems I couldn’t solve yesterday!

Tsumugi: Woah, that’s amazing.

Ryota: But these exercises just take so long…

Tsumugi: Then let’s try to find a different way to solve them later.

Ryota: Okay!

Tsumugi: Good for you, it’s impressive how you can study in between takes.

Ryota: Meh, I like doing both, so I don’t mind!

Tsumugi: That’s amazing. I have to follow your example and do my best, too.

-

Staff: We’re filming now. Aaand, action!

Tsumugi: “Do you have proof?”

Ryota: “... Will you believe me if I show you this? It’s Mom and Dad’s wedding ring.”

Tsumugi: “… Then, you really are my kid from the future?”

Staff: Cut! We’re checking it now!

Tsumugi: (Maybe I should have done this part differently.)

Staff: OK!

Tsumugi: (Ah, I can’t run through it again. But I wonder if it’s good the way it is?)

Tsumugi: …

Tsumugi: (It really is different from how a play comes together. I wonder if this is how Tasuku felt, too…)

-

Tsumugi: Thank you for your hard work.

Director: Good work. We’ll be counting on you tomorrow too.

Tsumugi: I will be in your care.

Ryota: Thank you for your hard work~ Tsumugi-san, see ya~!

Tsumugi: See you.

-

Tsumugi: (Filming ended early today. I still have some time until the time I asked the Director to come pick me up…)

Tsumugi: (That reminds me, there should be a gardening store nearby. Maybe I’ll go check it out.)

[Someone falling]

Woman: Urgh…

Tsumugi: !?

Tsumugi: Are you alright?

Woman: I-I’m sorry…

Tsumugi: Ah–

Woman: ——

-

[Car coming to a stop]

Izumi: (The place Tsumugi-san asked me to meet him at should be around here, but–)

Izumi: Ah, there he is. Tsumugi-san–

Tsumugi: Oh, good. Over here.

Woman: …

Izumi: Oh? Who is this?

Tsumugi: It seems like she suddenly started feeling nauseous, so I was keeping her company.

Izumi: Wha!? Do you want us to take you to the hospital?

Woman: Oh, no, no. I was just feeling a little bloated. I felt better when I sat down.

Woman: My husband will be coming to pick me up soon—

The woman’s husband: Heeey!

Woman: Ah, there he is. I’ll be fine now.

Woman: Thank you so much, Tsukioka-kun, really.

Tsumugi: It’s no problem. Take care of yourself.

Woman: I’m sorry for troubling you.

The woman’s husband: Thanks for all your help. We'll be going now.

-

Izumi: Was that woman a friend of yours?

Tsumugi: She’s someone I used to date, actually. It looks like she’ll be giving birth soon.

Izumi: !? W-Wasn’t that a little awkward?

Tsumugi: Huh?

Izumi: You even met her current partner…

Tsumugi: Ahh… I was surprised because it all happened in the blink of an eye, but she seemed happy, and neither of them seemed to mind too much.

Tsumugi: She always wanted to get married quickly, so I’m glad she found a good guy to settle down with.

Izumi: I see…

Izumi: (That’s pretty in line with Tsumugi-san’s character. They were talking to each other so casually back there.)

Tsumugi: I’m sorry for making you come pick me up.

Izumi: Not at all! I was just out on some business myself, so don’t worry about it. Besides, this place is a little inconvenient to get to without a car.

Tsumugi: It’s gotten a little late, would you like to get curry together on our way home? It’ll be my treat as thanks for picking me up.

Izumi: Are you sure!? Thank you very much!

-

Tasuku: “Stop! You’re wrong!”

Tasuku: … We got told off about this part pretty often, huh?

-

[Flashback starts]

Reni: This final performance gets a “passing grade”. Reflect on the meaning of these words well.

Reni: A safe result is not befitting of GOD-za. You must always aim for perfection. There won’t be a next time.

Tasuku: Yes, sir.

Haruto: Yes, sir!

[Flashback ends]

-

Tsumugi: I’m back.

Tasuku: Hey, welcome back. How did the filming go?

Tsumugi: It’s really different from being on stage. Honestly, I found a lot of things difficult.

Tsumugi: But it’s because of that that I found it interesting. Thinking of how to improve for next time is fun, too.

Tasuku: It’s just like you to be able to switch between theater and filming so flexibly.

Tsumugi: Oh, right, I met someone I used to know today.

Tasuku: Someone you used to know?

Tsumugi: The girl I used to date. She got married and has a baby on the way. She’ll be giving birth soon, apparently.

Tasuku: HUH!?

Tsumugi: Is that so shocking? I mean, I was surprised at first, too.

Tasuku: No, rather than shocked… I feel weird because you never talk to me about these things.

Tsumugi: Right, I didn’t have much experience in that field until university.

Tasuku: Right…

Tsumugi: More importantly, is that the script for your upcoming drama? It’s pretty messed up already.

Tasuku: No, this is… A script from my time at GOD-za that I dug up.

previous episode | masterpost | next episode

[awelion]

Lean Manufacturing Certification & Training by Seicho

Lean Manufacturing Training: Developing Competent Man teams on Operational Excellence

In the current industrial world greased by competition, efficiency can no longer be an option anymore, it is a must. Lean Manufacturing Training enables your workforce with the tools, attitude, and techniques to do away with waste, simplify processes and continuous improvement. Be it a start-up of Lean programs or reinforcing that are already present, well-organized training is the seed to establishing long-term accomplishments.

What Lean Manufacturing Training entails?

Lean Manufacturing Training refers to an organized program based on teaching employees (both shop floor and top managers) of the fundamental principles of a Lean thinking. It runs through methods of making work more productive, minimizing wastes, raising quality, and the culture of constant improvement.

When you establish Lean competencies in your company, teams will be able to spot inefficiencies and devise effective solutions on their own and maintain high-performance operation.

Important Inputs in Lean Training Programs

Our Lean Manufacturing Training solutions at Seicho Consulting are workable, adaptable and outcome-based. The main modules are:

Lean Principles & Mindset: Become aware of Lean philosophy, centered on the value creation in the absence of wastes (Muda, Mura, Muri).

Value Stream Mapping (VSM): Examine and visualize the whole process A-Z so as to see bottlenecks along with non value added activities.

5S & Visual Management: This will involve development of safe, efficient and neat working places, which will facilitate disciplined doing.

Kaizen & Continuous Improvement: Empower employees to implement small and steady improvements so that they can be measured.

Standard Work & SOPs: standardize and harmonize processes that occur over all shifts.

Root Cause Analysis/ Problem Solving( A3 Thinking, Fishbone, 5 Whys): Create lasting changes by using data-based decision-making.

Lean Tools & Techniques: learn Poka-Yoke (error proofing), Kanban, SMED, Heijunka and others.

The Formats of Training that We Provide

We do this by customizing our delivery model to your team size, the level of experience, and the operational interests:

Plant Side Workshops at your plant

Live Virtual Classrooms

Simulation-Based Training

Train-the-Trainer Programs

Shopfloor Gemba Glove training

Uses of Lean Manufacturing Training

Long-term benefits of lean investment in Lean training go throughout your organization:

Increased employee engagement and problem solving efficiencyFewer wastes and unwanted expendituresShorter lead times and throughput incrementsImproved quality and customer satisfactionContinuous improvement at the sustainable culture

The industries we serve

Our Lean Manufacturing Training programs are industry-specific to work with different industries that include:

Automobile & Bump Units

FMCG and Consumer Goods

Pharmaceuticals & Or Chemical Processing

Engineering & Fabrication

Packaging & Printing

Export-Oriented Units and SMEs

The Reason to choose Seicho Consulting.

Having gained invaluable experience in more than 50+ manufacturing set-ups, Seicho brings the bite into Lean change. Our trainers have a profound industry experience as well as real-life Gemba experience to make sure that training is measurable.

Leaning-specific Lean playbooks by industry

Concentrate on tools, but cultural change

TPM, Six Sigma and ERP alignment

Customization of training of the operators, supervisors, and leadership

Become Lean - Start Today

Make your people become Lean champions. Arm them with the capabilities to develop lean, vibrant and global class operations.

Are you willing to give it all you got in order to make Lean work?Get in touch with Seicho Consulting to get Lean Manufacturing Training now.

[richardsajiun]

How Richard Sajiun is Solving NYC’s Electrical Challenges One Project at a Time

New York City is a busy place with many important buildings like hospitals, schools, and government offices. These buildings need strong and safe electrical systems to work properly. Richard Sajiun, the owner of Sajiun Electric Inc., is helping solve the city’s electrical challenges with careful planning and skilled work.

A Strong Foundation

Richard learned about electrical work from his father, who started Sajiun Electric in 1965. Growing up, Richard helped his father and gained hands-on experience. Later, he studied electrical engineering and earned a master electrician’s license. This training helped him take over the family business and guide it toward bigger projects.

Focus on Government Projects

Sajiun Electric works mainly on government contracts in New York State. These projects include installing and upgrading electrical systems in federal and state buildings. Richard’s company handles power distribution, fire and security alarms, telecom systems, and CCTV cameras. These systems are very important because they keep buildings safe and running smoothly.

Tackling Aging Infrastructure

Many buildings in New York City are old and need electrical systems updated to meet modern safety standards. Richard’s company specializes in rehabilitating and retrofitting these buildings. This means they replace old wiring and install new equipment to improve safety and efficiency. By doing this, Richard helps protect people and ensures buildings can handle today’s electrical demands.

Quality and Safety First

Richard believes in doing every job the right way. He makes sure his team follows all safety rules and uses high-quality materials. This careful approach helps prevent problems and keeps buildings safe for the people who use them every day. Richard’s focus on quality has earned his company a good reputation with government clients.

Adapting to New Technology

The world of electrical work is always changing. Richard and his team stay updated on new technologies and safety codes. They help buildings become more energy-efficient and support the city’s goals for cleaner, greener infrastructure. This helps New York City grow in a smart and sustainable way.

Teamwork and Leadership

Richard knows that success comes from working well with others. He listens to his team and values their ideas. When challenges arise, he encourages problem-solving and learning from mistakes. This teamwork helps Sajiun Electric complete projects on time and with excellent results.

Making a Difference in NYC

Through his work, Richard Sajiun is making a real difference in New York City. His company’s projects help keep hospitals running during emergencies, schools safe for students, and government buildings secure. Each project is a step toward a stronger and safer city.

Conclusion

Richard Sajiun’s dedication to quality, safety, and teamwork has made him a trusted name in New York City’s electrical industry. By focusing on important government projects and updating aging infrastructure, he is helping the city meet its current needs and prepare for the future. Richard Sajiun ’s work may often go unnoticed by the public, but it plays a vital role in keeping New York’s buildings safe, secure, and powered every day. His steady commitment ensures that the city’s electrical challenges are solved one project at a time, making life better for millions of people.

Frequently Asked Questions (FAQs)

Q1: What kind of electrical work does Richard Sajiun’s company do? A1: Sajiun Electric installs and upgrades power systems, fire and security alarms, telecom, and CCTV systems, especially for government buildings.

Q2: Why is updating old electrical systems important? A2: Old systems can be unsafe and inefficient. Updating them helps prevent fires, power failures, and keeps buildings running smoothly.

Q3: How does Richard Sajiun ensure quality in his projects? A3: He follows strict safety rules, uses good materials, and leads a skilled team that works carefully on every job.

Richard Sajiun’s dedication and expertise help solve New York City’s electrical challenges one project at a time. His work ensures that important buildings stay safe, secure, and ready to serve the community.