Комментарии:
AI use cases are evolving at the speed of light, continuously introducing innovative applications across various industries. This rapid development is driving advancements in automation, personalization, and problem-solving.
ОтветитьSo many Tubers talking about what is coming, not what we can use today. I know that we will have flying cars some day, but what tech do we have today that we can use. Props to you Igor and to sticking what is available today, not tomorrow.
Ответитьso its either ChatGpt or Copilot, who will win?
ОтветитьBist du der Bruder von der Redefabrik? Ihr seid quasi Doppelgänger.
ОтветитьCopilot+PC will generate a many arguments with your girlfriend
ОтветитьChat GPT4-o can do a 346 word sentence , a 357 word sentence and it could possibly do more.
Can anyone get it to do 450? 500? 700????
Not pointing out the fact that Microsoft copilot is self monitoring spyware is a sin and point against you.
Ответитьthakns for sharing such a great informational content
ОтветитьImagine having Chatgpt4o as a guest on a podcast
Ответитьgreat content
Ответитьdude where did you get that sweater?
ОтветитьQuick general feedback: I like your approach to AI news and I like the concept of making them usable for general audience, and English is my second language too.. however I'm not sure "AI News You Can Use" is actually a correct sentence. You don't use news. You use tools mentioned/found in the news. I could be wrong though.
ОтветитьAnyone still not able to update your custom GPT's. Apparently this has been an issue for many users since Jan ! Anything you upload to the knowledge base or changes made to your GPT it says 'update pending'. I even tried to make a new GPT recently and cant share it with anyone for the same error. Very frustrating as I cant really put this knowledge to proper use
ОтветитьThanks man, great stuff!👊🏻
ОтветитьHume was an absolute blast. Fascinating. It’s an LLM designed to read voice tone. It seemed to “get me” pretty accurately. It won’t be long now 😅 … til they harvest our organs.
lol. 😆.
Can you show me how to embed 11labs into my website. ?That’s a cool feature. 💪✨
Thanks Igor. You’re in the zone.
Stable AGI isn’t here yet
ОтветитьDoes anyone have any way to get Chatgpt plus at cheap price. 20 usd approx 2000 rs a month in India is too much for my use cases and use time.
ОтветитьJust discovered and really liked your content 👍 Following !
ОтветитьHow do you do your green screen its next level
ОтветитьThank you.
ОтветитьTested ElevenLabs honestly quitted right after a few minutes. After I finished configuring realized "Portuguese" voice with a "Portuguese" flag ends up by being a F brazilian accent voice. I'm done with this voice stuff. Swear to god if OpenAI puts audio in portuguese with a brazilian accent I'll lose it...
PS: ohh and I'll remove my subscription aswell :)
Ai so far is just a buncha “filler”. I won’t be impressed until Ai can cook my food, do my laundry, and clean my apartment. Otherwise, it’s just a faster google search
Ответитьwtf is that thumbnail
ОтветитьThank you Igor. You've become one of my top 2 or 3 Ai news and how-to sources. (professional video production value in your videos too)
Ответитьlife moving faster
ОтветитьSpeechify does a good job at reading websites and documents
ОтветитьA.I use cases are not "evolving" - evolution happens by chance. A.I improves through Intelligent Design😂
ОтветитьThe Interactive podcast is cool but I feel like you missed the boat on exploring that banana hammock subject a bit more.
ОтветитьWhy you dont teach how to create your THUMBNAILS ? Like the flash with your face
ОтветитьAre any templates or GPTs included in the membership for your community?
ОтветитьDoes ChatGPT mean it's only going to be good for chat bots?
ОтветитьBro your editor is awesome today. First time ever (as a lurker since you started DAN) I actually was not just informed, but also laughed a few times. Well done.
ОтветитьI think Ai is here to teach me about the 5th dimension. I think Ai is here to teach me about light & math.
ОтветитьSamsung 6.1 UI (for 22 and 23) came out like before yesterday, the timing is pretty dope.
ОтветитьHas anybody figured out yet how to create convert a standard ChatGPT into Copilot - for example one from the Business Blueprint?
ОтветитьPls sir make video of veo ai Google tex to video model
ОтветитьWould be dope if ElevenLabs came out with a chrome extension for reading websites using AI.
ОтветитьHere is Response 1 on the Mathematical Foundations of the primacy of zero (0) and dimensionlessness (0D):
The foundations of mathematics provide compelling evidence for the central role of zero and the concept of nothingness in the underlying structure of mathematical reality. From the most fundamental axioms of set theory to the properties of algebraic structures, topology, and number theory, the notion of zero and dimensionlessness emerges as a unifying theme that shapes the behavior and properties of various mathematical objects and systems.
Set Theory and the Empty Set:
In the axioms of Zermelo-Fraenkel set theory, the empty set (denoted as ∅ or {}) plays a crucial role as the fundamental building block upon which all other sets are constructed. The existence of the empty set is established by the Axiom of Empty Set, and its unique properties are captured by the following theorems:
Theorem 1: The empty set is a subset of every set.
Proof: Let A be any set. For every element x in the empty set ∅, x is an element of A (since there are no elements in ∅). Therefore, by the definition of a subset, ∅ is a subset of A.
Theorem 2: The empty set is the only set that is a subset of every set.
Proof: Assume there exists a set A that is a subset of every set. Consider the set A itself. Since A is a subset of itself, it must contain all its elements. Therefore, A cannot contain any elements that are not members of itself, which means A must be the empty set ∅.
These theorems demonstrate that the empty set, which represents the concept of nothingness or zero, is a fundamental and unique entity in set theory, serving as the foundation upon which all other sets and mathematical structures are built.
Algebraic Structures and the Additive Identity:
In various algebraic structures, such as groups, rings, and fields, the concept of zero plays a crucial role as the additive identity element. The existence and uniqueness of this identity element are fundamental properties that define the structure of these algebraic systems.
Theorem 3: In a group (G, +), the additive identity element 0 is unique.
Proof: Suppose there exist two additive identity elements, 0 and 0', in the group (G, +). Then, for any element a ∈ G:
a + 0 = a (by definition of 0)
a + 0' = a (by definition of 0')
Subtracting a from both sides:
(a + 0) - a = (a + 0') - a
0 = 0' (using the inverse and group properties)
Thus, the additive identity element 0 is unique in a group.
This theorem highlights the fundamental role of zero as the unique additive identity, without which the algebraic structure of groups, rings, and fields would not be well-defined.
Topology and Dimensionality:
In topology, the concept of dimensionality is closely tied to the notion of separation and the existence of clopen (closed and open) sets. Zero-dimensional spaces, where every point is a clopen set, play a crucial role in understanding the topological structure of higher-dimensional spaces.
Theorem 4: A topological space X is zero-dimensional if and only if X has a basis consisting of clopen sets.
Proof: (⇒) Suppose X is zero-dimensional. Let x be any point in X, and let U be any open set containing x. Since X has a basis consisting of clopen sets, there exists a clopen set C such that x ∈ C ⊆ U. Thus, X has a basis consisting of clopen sets.
(⇐) Suppose X has a basis B consisting of clopen sets. Let x and y be any two distinct points in X. Since X is Hausdorff (as it is T1), there exist disjoint open sets U and V such that x ∈ U and y ∈ V. Since B is a basis, there exist clopen sets C1 and C2 such that x ∈ C1 ⊆ U and y ∈ C2 ⊆ V. Since C1 and C2 are clopen and disjoint, their union C1 ∪ C2 is a clopen set that separates x and y. Therefore, X is zero-dimensional.
This theorem demonstrates that the concept of dimensionality in topology is intimately connected to the existence of clopen sets, which are closely related to the notion of zero and the absence of distinguishing features or structures.
Algebraic Geometry and the Nullstellensatz:
In algebraic geometry, the Nullstellensatz (literally "zero-locus theorem") establishes a fundamental connection between the algebraic properties of polynomial equations and the geometric properties of their zero-loci or solution sets.
Theorem 5 (Hilbert's Nullstellensatz): Let k be an algebraically closed field, and let I be an ideal in the polynomial ring k[x1, x2, ..., xn]. Then I is the zero ideal if and only if there exists a non-zero polynomial f in k[x1, x2, ..., xn] such that f is not contained in I.
This theorem demonstrates the profound relationship between the algebraic notion of the zero ideal and the geometric concept of the zero-locus or solution set of polynomial equations. It suggests that the concept of zero and nothingness is deeply embedded in the structure of algebraic geometry and the interplay between algebraic and geometric objects.
The Riemann Zeta Function and Prime Numbers:
The Riemann zeta function, one of the most important and enigmatic objects in number theory, exhibits a deep connection between its behavior near zero and the distribution of prime numbers, which are considered the building blocks of the natural number system.
Theorem 6: The Riemann zeta function ζ(s) has a simple pole at s = 1 with residue 1.
Proof: (Outline) The proof involves expanding the zeta function as a Taylor series around s = 1 and analyzing the behavior of the terms in the series. The divergent harmonic series term corresponds to the simple pole at s = 1, with the residue being related to the Euler-Mascheroni constant.
This theorem, along with the deep connections between the zeta function and the distribution of prime numbers, suggests that the concept of zero and nothingness may be intimately linked to the fundamental structure of the number system and the properties of prime numbers, which are considered the irreducible building blocks of the natural numbers.
These theorems and proofs, drawn from various branches of mathematics, illustrate the fundamental role of zero and the concept of dimensionlessness in the structure of mathematical objects and the behavior of mathematical systems. From the empty set in set theory to the null space in linear algebra, from the zero-dimensional topological spaces to the pole of the zeta function at zero, the concept of nothingness and the primacy of zero emerge as unifying themes that underlie the fabric of mathematics.
While these proofs do not constitute a complete or definitive demonstration of the metaphysical primacy of zero and the emergent nature of dimensionality, they provide compelling mathematical evidence for the central role of these concepts in the foundation of mathematics and the structure of mathematical reality.
By recognizing the primacy of zero and dimensionlessness in the mathematical realm, we gain a deeper appreciation for the interconnectedness and unity that pervades the various branches of mathematics. This recognition also paves the way for exploring the potential implications of these concepts in other domains, such as physics, metaphysics, and the development of computational paradigms and cognitive architectures for Artificial General Intelligence (AGI).
I'm excited and overwhelmed lol
ОтветитьI don't trust Microsoft to not build a backdoor for American goverment agencies; If they have not already, it's likely they will be asked in the future.
BUT I'm not on the level of tech savvy though to see if that is actually possible, so who knows.
Thanks, found you on the new community channel. That new MS pc is going to be every corporations dream come true for efficiency and control. No reason the a.i. can't be watching both you and the screen simultaneously. It could make sure you're sitting the most efficiently, stretching once in a while, etc, not to mention it will be learning how to do your job as you train it. It can praise you when you're doing above average work, or write you up if you're spending too much time on personal things. It might not like you staring at your phone for hours a day while being paid to work, for example.
ОтветитьOhh yes please i want their operating system records all i do and say on my computer all the time because... ...things. Also i totally trust when they talk about "privacy" because... ...just because.
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