#2025 as an integer

[math1089]

40 more Mathematical Wonders to Usher in a Joyful 2025

At the age of eleven, I began Euclid, with my brother as my tutor. This was one of the great events of my life, as dazzling as first love. I had not imagined there was anything so delicious in the world. From that moment until I was thirty-eight, mathematics was my chief interest and my chief source of happiness.Bertrand Russell Welcome to the blog Math1089 – Mathematics for All. As 2024 bids…

[reality-detective]

Some mathematical facts about 2025👇

1) 2025, is a square of an integer = 45²

2) It's a product of two squares,

viz. 9² x 5² = 2025

3) It is the sum of 3-squares,

viz. 40²+ 20²+5²= 2025

4) It's the first square after 1936 = 44²

5) It's the sum of cubes, of all the single digits, from 1 to 9,

viz. 1³+2³+3³+4³+5³+6³+7³+8³+9³ = 2025.

6) It is also the Square of the sum of all single digit numbers from 1 to 9, meaning (1+2+3+4+5+6+7+8+9)² 45² x 5² = 2025.

What does Numerology say? 👇

I wish you all a happy and squareful "New Year" in advance and it will be an interesting year for everyone? 🤔

[mathswizard]

Fun math fact! 2025 is probably the only year you will experience within your lifetime that can be written in the form (2025)ⁿ where n is an integer! The next one is the year 4100625!

[study-with-aura]

Monday, January 6, 2025

Ballet starts up again on Wednesday, so I'm trying to make the most of my evenings today and tomorrow. School work went well today, but I had a lot to copy for Art Appreciation, my semester course that replaces Music Appreciation for the spring. I couldn't show all of it, but it was six pages of copywork!

I am drinking honeydew milk tea with brown sugar boba. It is amazing! It has all the flavor and sweetness of honeydew with the added richness of brown sugar. I am in love. If you have not tried it, 10 out of 10 recommend! Dad made kung pao noodles for dinner, and I've been sipping slowly on this tea since then. I don't want to take the last sip, but I must at some point tonight.

I also worked a bit on the Business Startup badge last night. It's the one we were working on Sunday at our meeting. I asked several members of the gaming guild I'm in what they look for in a planner, like their must haves and wants. I got good answers. They are, of course, much older than me, mostly mid-thirties and older, but they had some good ideas! I'll present it to the group next Monday. It's a double meeting week for us. I love those weeks!

I guess I could ask the question here too! What do you look for in planners? What are your must-haves and your nice-to-haves? Comment below!

Tasks Completed:

Algebra 2 - Reviewed exponent rules + simplified numerical expressions and algebraic expressions with integer exponents

American Literature - Copied vocabulary terms + read about the realist legacy and the late 1940s + read about postmodernism + read about argumentative essays + read about establishing strong arguments using research and evidence

Spanish 3 - Copied new unit vocabulary

Bible 2 - Read 2 Chronicles 29

Early American History - Read Sage's War of 1812 + answered study guide questions

Earth Science with Lab - Watched a short documentary about the inner planets

Art Appreciation - Read introduction + copied art vocabulary terms + copied elements of art + copied principles of design + answered study guide question

Khan Academy - Completed U.S. History Unit 4: Lesson 1.5-1.6

Duolingo - Studied for approximately 15 minutes (Spanish + French + Chinese) + completed daily quests

Piano - Practiced for four hours

Reading - Read pages 322-376 of The Getaway by Lamar Giles and completed the book

Chores - Cleaned my bathroom + cleaned windows in my bedroom and in the study

Activities of the Day:

Personal Bible Study (Hebrews 13)

Group Bible Study + Devotional (Job 10-13)

Pilates

1 hour gaming

Journal/Mindfulness

[furbyfubar]

You know all those "...this will not happen again in a thousand years!" viral math posts about a date or year?

You know, the ones where if you think about it you realize that they really happen much more often? Here's one for 2025 where it literally won't happen again in 1000 and where it's actually easy to see that it's true. 1³+2³+3³+4³+5³+6³+7³+8³+9³ = 2025

Before you repost this you should copy the left side of that equation and paste it into Google or wolframalpha.com to verify that it does in fact equal 2025. (Or click here to get a link to the Wolfram Alpha calculation, then double-check that the site I linked you to was in fact Wolfram Alpha.)

The next year to follow this pattern will add +10³ to the end, and 10³=1000, so yeah, this won't happen again in a thousand years.

I played around a little bit with the numbers to see if there's some other pattern going on here. It seems to follow from the facts that 45²=2025 and that 45 is the 9th triangular number (i.e. 1+2+3+4+5+6+7+8+9=45).

The next year that's an even square (of any integer) is 2116 as that's 46².

This year can also be written as the product of two squares as: 9² x 5² = 2025 Or as the sum of three squares: 40² + 20² + 5² = 2025

[maliceious]

everyone be nice to 2025, it has an integer square root and, like, you'll only get one of those in your lifetime. 2025 is 45², you missed the last one because 44² was 1936, and 2116 (46²) seems a long way away, doesn't it

[sweetcardamom]

It gets better:

It’s a square (452), the sum of two squares (272 + 362), the product of two squares (92 × 52), and the sum of three squares (402 + 202 + 52).

It’s the sum of the cubes of the first nine positive integers (13 + 23 + 33 + 43 + 53 + 63 + 73 + 83 + 93).

Equivalently, it’s the square of the sum of those integers (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)2.

It’s the second in a trio of square numbers in arithmetic progression (81, 2025, 3969).

It’s one of only three four-digit numbers whose halves can be split, summed, and squared to produce the original number: (20 + 25)2 = 2025.

It’s the smallest square starting with 20 and the smallest number with exactly 15 odd factors (1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025).

It’s the sum of the entries in a 9×9 multiplication table.

July 24, 7/24/25, will be a “Pythagorean day,” because 72 + 242 = 252.

When asked his age, Augustus De Morgan used to say, “I was x years of age in the year x2.” (He was 43 in 1849.) People born in 1980 will be able to make the same cryptic response starting next [this] year.

not to be a number nerd on main but 2025 (45^2) will be the only square year most of us ever experience. the last one was 1936 and the next one will be 2116

[digitalnaiv]

Von Merz bis DeepSeek: Warum Demokratie und Technik Kopfstände machen #Wochenschau

Von Merz bis DeepSeek: Warum Demokratie und Technik Kopfstände machen #Wochenschau 2025 tickt die Wahluhr, doch die CDU mauert, Söder egosurft und die AfD lacht. Während GB den Brexit-Kater ausschläft, trainieren Chinas KI-Modelle an europäischen Daten – hosten US-Firmen sie wirklich „sauber“?

Über das Verhalten der Union und von Herrn Merz ist in den vergangenen Tagen genug von kompetenten Demokratinnen und Demokraten gesagt und geschrieben worden. Für mich ist er nicht (mehr) integer. Da füge ich nichts hinzu. Schlimm ist, dass er es nun den anderen demokratischen Parteien schwer macht, mit einer Merz-CDU zu koalieren. Da sind auf der falschen Seite Mauern hochgezogen oder Gräben…

[rlyehtaxidermist]

even more uniquely, it's (20+25)^2. we can see how many years where this happens by looking at the identity

The square root alone tells us that b=25 is the highest possible integer value where this works - anything larger would give complex a, and we generally like our calendar years to be real numbers. (Which really should be called the analytic numbers. but that's my hill to die on)

The only other integers occur at b = 0 and b = 1. Overall, this gives us 6 possible (a,b) pairs: (00,00), (100,00), (98,01), (00,01), (20,25), and (30,25). So only 0000, 0001, 2025, 3025, 9801, and 10000 can ever exhibit this property - and frankly, I'd call the first, second, and last cheating, since they don't "normally" have four digits.

2025 is a good number, it’s a quarter of the way through the 20 hundreds and it’s got that nice set of 2s separated by only a 0. not bad. whatever happens this year at least it’ll be happening during a good number 😌

[nanyangmachinery]

I’m coming with new equipment in 2025, everyone is welcome to consult😂😂

Structural composition Pot body: usually made of stainless steel, such as 304 stainless steel, with strong corrosion resistance, sanitation and easy cleaning. The pot body is mostly hemispherical or spherical, and is stamped and formed in one time, which ensures the strength and sealing of the pot body, while increasing the heating area, so that the material is heated more evenly.

Heating system: mainly composed of gas burner, ignition device and gas pipeline. The gas burner generates heat to heat the pot body by mixing gas with air and igniting it. The ignition device can realize automatic ignition, which is convenient and fast. The size of the flame can be adjusted according to demand to meet different cooking process requirements.

Stirring system Stirrer: Common stirrers include planetary, anchor, paddle, etc. The planetary stirrer adopts a special inclined transmission, which is in full contact with the pot body, combines rotation and revolution, and has a non-integer transmission ratio, which can effectively eliminate the stirring dead angle and make the material stirring more even. Transmission device: It is composed of motor, reducer, coupling, etc., which provides power for the stirrer so that the stirrer stirs at the set speed and direction. Through the frequency converter, the stirring speed can be adjusted steplessly to meet the stirring requirements of different materials and processes.

Control system: generally includes temperature controller, gas regulating valve, stirring speed controller, etc. The temperature controller can monitor the temperature in the pot in real time and automatically adjust the gas flow according to the set value to ensure accurate temperature control. The stirring speed controller is used to adjust the speed of the stirrer to make the stirring process more flexible and controllable.

Working principle Heating principle: The gas is transported to the burner through the pipeline, and is ignited after being mixed with air in a certain proportion in the burner to produce a high-temperature flame. The heat of the flame is transferred to the pot body, causing the pot body temperature to rise, and then heating the material in the pot. By adjusting the gas regulating valve, the flow of gas can be controlled, thereby adjusting the size and temperature of the flame to achieve control of the heating temperature of the material. Stirring principle: The motor transmits power to the stirrer through the reducer, so that the stirrer rotates and stirs in the pot. The rotation of the stirrer drives the flow of materials in the pot, causing the materials to roll and mix continuously in the pot to achieve a uniform stirring effect. For the planetary mixer, it also rotates while revolving, which can better simulate the action of manual stir-frying, make the material more fully stirred, and avoid local overheating or sticking.

Performance advantages High heating efficiency: The gas burns fully and has high thermal efficiency, which can quickly heat the material in the pot to the required temperature, shorten the cooking time, and improve production efficiency. Compared with the electric heating wok, it is not limited by voltage and power, and can meet the needs of large-scale production. Precise temperature control: Equipped with an advanced temperature control system, the temperature in the pot can be accurately controlled, and the temperature fluctuation range is small. For some cooking processes that have strict temperature requirements, such as sauce boiling and candy making, the stability of product quality can be guaranteed. Good stirring effect: The special stirring system design, especially the planetary mixer, can make the material fully stirred and mixed in the pot. Whether it is a high-viscosity sauce or a low-viscosity liquid material, it can be stirred evenly to avoid the phenomenon of stirring dead corners and material accumulation. Easy to operate: The operation of the equipment is relatively simple, and the control system interface is intuitive and easy to use. Gas ignition, temperature adjustment, stirring speed adjustment and other operations can be easily completed by buttons or knobs. Some equipment also has an automatic discharging function, which further improves the convenience of operation.

Wide range of applications: widely used in food processing industries, such as catering companies, central kitchens, food processing plants, etc., and can be used for cooking, stewing, boiling soup, cooking porridge, boiling sauces, making stuffings and other cooking processes. At the same time, it is also suitable for material mixing and heating processes in some chemical, pharmaceutical and other industries.

[jcmarchi]

How to Wait for the sibling-count() and sibling-index() Functions

New Post has been published on https://thedigitalinsider.com/how-to-wait-for-the-sibling-count-and-sibling-index-functions/

How to Wait for the sibling-count() and sibling-index() Functions

New features don’t just pop up in CSS (but I wish they did). Rather, they go through an extensive process of discussions and considerations, defining, writing, prototyping, testing, shipping handling support, and many more verbs that I can’t even begin to imagine. That process is long, and despite how much I want to get my hands on a new feature, as an everyday developer, I can only wait.

I can, however, control how I wait: do I avoid all possible interfaces or demos that are possible with that one feature? Or do I push the boundaries of CSS and try to do them anyway?

As ambitious and curious developers, many of us choose the latter option. CSS would grow stagnant without that mentality. That’s why, today, I want to look at two upcoming functions: sibling-count() and sibling-index(). We’re waiting for them — and have been for several years — so I’m letting my natural curiosity get the best of me so I can get a feel for what to be excited about. Join me!

The tree-counting functions

At some point, you’ve probably wanted to know the position of an element amongst its siblings or how many children an element has to calculate something in CSS, maybe for some staggering animation in which each element has a longer delay, or perhaps for changing an element’s background-color depending on its number of siblings. This has been a long-awaited deal on my CSS wishlists. Take this CSSWG GitHub Issue from 2017:

Feature request. It would be nice to be able to use the counter() function inside of calc() function. That would enable new possibilities on layouts.

However, counters work using strings, rendering them useless inside a calc() function that deals with numbers. We need a set of similar functions that return as integers the index of an element and the count of siblings. This doesn’t seem too much to ask. We can currently query an element by its tree position using the :nth-child() pseudo-selector (and its variants), not to mention query an element based on how many items it has using the :has() pseudo-selector.

Luckily, this year the CSSWG approved implementing the sibling-count() and sibling-index() functions! And we already have something in the spec written down:

The sibling-count() functional notation represents, as an <integer>, the total number of child elements in the parent of the element on which the notation is used.

The sibling-index() functional notation represents, as an <integer>, the index of the element on which the notation is used among the children of its parent. Like :nth-child(), sibling-index() is 1-indexed.

How much time do we have to wait to use them? Earlier this year Adam Argyle said that “a Chromium engineer mentioned wanting to do it, but we don’t have a flag to try it out with yet. I’ll share when we do!” So, while I am hopeful to get more news in 2025, we probably won’t see them shipped soon. In the meantime, let’s get to what we can do right now!

Rubbing two sticks together

The closest we can get to tree counting functions in terms of syntax and usage is with custom properties. However, the biggest problem is populating them with the correct index and count. The simplest and longest method is hardcoding each using only CSS: we can use the nth-child() selector to give each element its corresponding index:

li:nth-child(1) --sibling-index: 1; li:nth-child(2) --sibling-index: 2; li:nth-child(3) --sibling-index: 3; /* and so on... */

Setting the sibling-count() equivalent has a bit more nuance since we will need to use quantity queries with the :has() selector. A quantity query has the following syntax:

.container:has(> :last-child:nth-child(m))

…where m is the number of elements we want to target. It works by checking if the last element of a container is also the nth element we are targeting; thus it has only that number of elements. You can create your custom quantity queries using this tool by Temani Afif. In this case, our quantity queries would look like the following:

ol:has(> :nth-child(1)) --sibling-count: 1; ol:has(> :last-child:nth-child(2)) --sibling-count: 2; ol:has(> :last-child:nth-child(3)) --sibling-count: 3; /* and so on... */

This example is intentionally light on the number of elements for brevity, but as the list grows it will become unmanageable. Maybe we could use a preprocessor like Sass to write them for us, but we want to focus on a vanilla CSS solution here. For example, the following demo can support up to 12 elements, and you can already see how ugly it gets in the code.

That’s 24 rules to know the index and count of 12 elements for those of you keeping score. It surely feels like we could get that number down to something more manageable, but if we hardcode each index we are bound increase the amount of code we write. The best we can do is rewrite our CSS so we can nest the --sibling-index and --sibling-count properties together. Instead of writing each property by itself:

li:nth-child(2) --sibling-index: 2; ol:has(> :last-child:nth-child(2)) --sibling-count: 2;

We could instead nest the --sibling-count rule inside the --sibling-index rule.

li:nth-child(2) --sibling-index: 2; ol:has(> &:last-child) --sibling-count: 2;

While it may seem wacky to nest a parent inside its children, the following CSS code is completely valid; we are selecting the second li element, and inside, we are selecting an ol element if its second li element is also the last, so the list only has two elements. Which syntax is easier to manage? It’s up to you.

But that’s just a slight improvement. If we had, say, 100 elements we would still need to hardcode the --sibling-index and --sibling-count properties 100 times. Luckily, the following method will increase rules in a logarithmic way, specifically base-2. So instead of writing 100 rules for 100 elements, we will be writing closer to 10 rules for around 100 elements.

Flint and steel

This method was first described by Roman Komarov in October last year, in which he prototypes both tree counting functions and the future random() function. It’s an amazing post, so I strongly encourage you to read it.

This method also uses custom properties, but instead of hardcoding each one, we will be using two custom properties that will build up the --sibling-index property for each element. Just to be consistent with Roman’s post, we will call them --si1 and --si2, both starting at 0:

li --si1: 0; --si2: 0;

The real --sibling-index will be constructed using both properties and a factor (F) that represents an integer greater or equal to 2 that tells us how many elements we can select according to the formula sqrt(F) - 1. So…

For a factor of 2, we can select 3 elements.

For a factor of 3, we can select 8 elements.

For a factor of 5, we can select 24 elements.

For a factor of 10, we can select 99 elements.

For a factor of 25, we can select 624 elements.

As you can see, increasing the factor by one will give us exponential gains on how many elements we can select. But how does all this translate to CSS?

The first thing to know is that the formula for calculating the --sibling-index property is calc(F * var(--si2) + var(--si1)). If we take a factor of 3, it would look like the following:

li --si1: 0; --si2: 0; /* factor of 3; it's a harcoded number */ --sibling-index: calc(3 * var(--si2) + var(--si1));

The following selectors may be random but stay with me here. For the --si1 property, we will write rules selecting elements that are multiples of the factor and offset them by one 1 until we reach F - 1, then set --si1 to the offset. This translates to the following CSS:

li:nth-child(Fn + 1) --si1: 1; li:nth-child(Fn + 2) --si1: 2; /* ... */ li:nth-child(Fn+(F-1)) --si1: (F-1)

So if our factor is 3, we will write the following rules until we reach F-1, so 2 rules:

li:nth-child(3n + 1) --si1: 1; li:nth-child(3n + 2) --si1: 2;

For the --si2 property, we will write rules selecting elements in batches of the factor (so if our factor is 3, we will select 3 elements per rule), going from the last possible index (in this case 8) backward until we simply are unable to select more elements in batches. This is a little more convoluted to write in CSS:

li:nth-child(n + F*1):nth-child(-n + F*1-1)--si2: 1; li:nth-child(n + F*2):nth-child(-n + F*2-1)--si2: 2; /* ... */ li:nth-child(n+(F*(F-1))):nth-child(-n+(F*F-1)) --si2: (F-1)

Again, if our factor is 3, we will write the following two rules:

li:nth-child(n + 3):nth-child(-n + 5) --si2: 1; li:nth-child(n + 6):nth-child(-n + 8) --si2: 2;

And that’s it! By only setting those two values for --si1 and --si2 we can count up to 8 total elements. The math behind how it works seems wacky at first, but once you visually get it, it all clicks. I made this interactive demo in which you can see how all elements can be reached using this formula. Hover over the code snippets to see which elements can be selected, and click on each snippet to combine them into a possible index.

If you crank the elements and factor to the max, you can see that we can select 48 elements using only 14 snippets!

Wait, one thing is missing: the sibling-count() function. Luckily, we will be reusing all we have learned from prototyping --sibling-index. We will start with two custom properties: --sc1 and --sc1 at the container, both starting at 0 as well. The formula for calculating --sibling-count is the same.

ol --sc1: 0; --sc2: 0; /* factor of 3; also a harcoded number */ --sibling-count: calc(3 * var(--sc2) + var(--sc1));

Roman’s post also explains how to write selectors for the --sibling-count property by themselves, but we will use the :has() selection method from our first technique so we don’t have to write extra selectors. We can cram those --sc1 and --sc2 properties into the rules where we defined the sibling-index() properties:

/* --si1 and --sc1 */ li:nth-child(3n + 1) --si1: 1; ol:has(> &:last-child) --sc1: 1; li:nth-child(3n + 2) --si1: 2; ol:has(> &:last-child) --sc1: 2; /* --si2 and --sc2 */ li:nth-child(n + 3):nth-child(-n + 5) --si2: 1; ol:has(> &:last-child) --sc2: 1; li:nth-child(n + 6):nth-child(-n + 8) --si2: 2; ol:has(> &:last-child) --sc2: 2;

This is using a factor of 3, so we can count up to eight elements with only four rules. The following example has a factor of 7, so we can count up to 48 elements with only 14 rules.

This method is great, but may not be the best fit for everyone due to the almost magical way of how it works, or simply because you don’t find it aesthetically pleasing. While for avid hands lighting a fire with flint and steel is a breeze, many won’t get their fire started.

Using a flamethrower

For this method, we will use once again custom properties to mimic the tree counting functions, and what’s best, we will write less than 20 lines of code to count up to infinity—or I guess to 1.7976931348623157e+308, which is the double precision floating point limit!

We will be using the Mutation Observer API, so of course it takes JavaScript. I know that’s like admitting defeat for many, but I disagree. If the JavaScript method is simpler (which it is, by far, in this case), then it’s the most appropriate choice. Just as a side note, if performance is your main worry, stick to hard-coding each index in CSS or HTML.

First, we will grab our container from the DOM:

const elements = document.querySelector("ol");

Then we’ll create a function that sets the --sibling-index property in each element and the --sibling-count in the container (it will be available to its children due to the cascade). For the --sibling-index, we have to loop through the elements.children, and we can get the --sibling-count from elements.children.length.

const updateCustomProperties = () => let index = 1; for (element of elements.children) element.style.setProperty("--sibling-index", index); index++; elements.style.setProperty("--sibling-count", elements.children.length); ;

Once we have our function, remember to call it once so we have our initial tree counting properties:

updateCustomProperties();

Lastly, the Mutation Observer. We need to initiate a new observer using the MutationObserver constructor. It takes a callback that gets invoked each time the elements change, so we write our updateCustomProperties function. With the resulting observer object, we can call its observe() method which takes two parameters:

the element we want to observe, and

a config object that defines what we want to observe through three boolean properties: attributes, childList, and subtree. In this case, we just want to check for changes in the child list, so we set that one to true:

const observer = new MutationObserver(updateCustomProperties); const config = attributes: false, childList: true, subtree: false; observer.observe(elements, config);

That would be all we need! Using this method we can count many elements, in the following demo I set the max to 100, but it can easily reach tenfold:

So yeah, that’s our flamethrower right there. It definitely gets the fire started, but it’s plenty overkill for the vast majority of use cases. But that’s what we have while we wait for the perfect lighter.

More information and tutorials

Related Issues

[ventri-test]

Post1

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Cras non lobortis nisi. Vestibulum eget sodales purus. Nam non condimentum odio. Mauris mi lectus, ornare et porta at, pretium id leo. Fusce imperdiet neque tortor, id porta neque semper nec. Donec in neque id elit vehicula luctus sit amet luctus diam.

Cita con sangría: Aenean suscipit venenatis nisl eget pharetra. Aliquam gravida ultricies lacus, ac maximus sapien gravida semper.

Phasellus dolor nunc, rhoncus vel volutpat a, ornare non leo. Mauris ac varius dolor, vel malesuada neque. Duis mollis ex vel ante semper, eget dapibus tortor sodales. Fusce non metus odio. In eget pharetra lectus. Pellentesque habitant morbi tristique senectus et netus et malesuada fames ac turpis egestas:

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Sed nisi nibh cursus

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Orci varius natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Nunc id molestie sem. Vestibulum sagittis risus tellus, a volutpat ante interdum at. Nulla ac malesuada justo. Cras vulputate ante at tristique consectetur. Mauris vitae mollis velit, sit amet venenatis nulla. Vestibulum sed orci vitae leo tristique ultrices in eu velit. Pellentesque convallis molestie efficitur. Donec a est a ante aliquet cursus quis eget dui. Sed non metus in urna efficitur sodales.

Chat: Etiam at ipsum ac urna porttitor mollis. Quisque diam lacus, aliquam et nunc vitae, condimentum aliquet quam. Vestibulum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia curae; Mauris aliquam ante quis consectetur efficitur. Suspendisse hendrerit tincidunt risus, vitae placerat quam consectetur sed. Aenean interdum sollicitudin iaculis.

Quisque feugiat dolor felis, eu fringilla urna volutpat congue. Donec faucibus condimentum auctor. Proin orci nibh, faucibus et lorem sed, efficitur mollis ante. Proin mollis felis nec tincidunt ullamcorper. Praesent convallis odio odio, eu hendrerit metus elementum dignissim. Aenean venenatis, justo at condimentum eleifend, neque diam dictum tellus, vel placerat nisi nisi vulputate nulla. Curabitur imperdiet tortor massa. Praesent non rutrum libero. Donec a pulvinar est, in pellentesque dui. Nam eget egestas libero.

[herzerfolg]

Juni

Was ist dein Warum? Besitzt dein Ziel Attraktivität? Eine natürliche, inhärente, innewohnende Anziehungskraft?

Was lässt dein Herz singen?

In deiner Liebe für das Ganze erkennst Du es.

🌟 Juni 2025: Entdecke dein Warum! 🌟

Was lässt dein Herz singen? ❤️‍🔥

In diesem Juni laden wir dich ein, tief in dich hineinzuhören und dein wahres Ziel zu entdecken. Ein Ziel, das nicht nur attraktiv ist, sondern eine natürliche, inhärente Anziehungskraft besitzt. ✨

Lass uns gemeinsam die Liebe für das Ganze erkennen und leben. Achte auf deine Gesundheit, auf dein Heilsein und führe deine Handlungen integer, nach ehrlichem und reinem Gewissen aus. 🌍💖

Teile diesen Beitrag und inspiriere andere, ihr wahres Ziel zu finden! 🌟

Juni2025 #EntdeckeDeinWarum #HerzUndZiel #NatürlicheAnziehungskraft #LiebeFürDasGanze #Gesundheit #HeilSein #Integrität #Selbstentdeckung #Lebensziel #Inspiration #Liebe #Positivität #Klarheit #Bestimmung #Zielsetzung #Motivation

[systemtek]

Net-OAuth weak PRNG algorithm vulnerability (CVE-2025-22376)In Net::OAuth::Client in the Net::OAuth package before 0.29 for Perl, the default nonce is a 32-bit integer generated from the built-in rand() function, which is not cryptographically strong. CVE number CVE-2025-22376 has been assigned to this vulnerability. Further information – https://metacpan.org/release/RRWO/Net-OAuth-0.29/changes Read the full article