Features
Vital Role of True Randomness in Modern Computing
The critical need for true randomness in cryptography, simulations, and more
True randomness is essential for encryption, statistical sampling, simulations, and more computing applications to work effectively. We explore why.
The concept of randomness often evokes thoughts of unpredictability and chance occurrences. However in the world of computing, having access to true randomness is vital for many critical applications to function properly. Without the ability to generate random values and data, key aspects of modern technology simply would not work reliably.
In this article, we will explore what constitutes true randomness from a computational perspective, why it is crucially important, and some of the ways that software and hardware attempt to produce randomness reliably. Gaining insight into this topic highlights the dependence much of digital functionality has on the availability of non-deterministic, uniformly distributed random data.
What Makes Randomness “True”?
For data to be considered truly random from an information theory perspective, values must satisfy key mathematical and statistical qualities, for example at Lucky Seven Casino. True randomness implies meeting three core criteria:
- Uniform distribution — All potential values have an equal probability of occurring so that no bias exists towards certain numbers.
- Independence — The value at any position does not relate to or depends on values at other positions. Previous numbers do not influence future ones.
- Unpredictability — Knowing some values provides no useful information to predict other values. Guessing upcoming numbers is mathematically impossible.
Hence, true randomness requires generated data featuring high entropy (information density) with no observable patterns or correlations over any length or time period analyzed. Values must pass various statisticatests of randomness to qualify. True randomness exists only in specific natural phenomena scientists believe exhibit fundamental uncertainty such as radioactive decay. Computational methods can attempt to produce randomness but technically generate only an approximation usually called pseudo-randomness. However for many practical purposes, computationally generated randomness proves sufficient if it passes robust statistical testing.
Why True Randomness Matters Cryptography
Arguably, the area with the most crucial dependence on true randomness is cryptography. All modern encryption technologies require random number generation to ensure security. Encryption systems work by utilizing random numbers for:
- Key generation
- Initialization vectors
- Salts
- Nonces
- Padding
Any bias, predictability or correlation within random values used for the above purposes significantly compromises encryption protocols and introduces vulnerabilities. With trillions of dollars transferred online daily and vast amounts of sensitive data stored digitally, safeguarding cryptography requires high-quality random number generation rooted in solid entropy sources.
Simulations & Modeling
Outside of security, many more computing applications need randomness to operate correctly per their design intent. Monte Carlo simulations extensively utilize randomness to model complex real-world behaviors by running many iterations with differing random inputs. Financial analysis, climate modeling, nuclear reactions and molecular behavior represent common Monte Carlo simulation applications.
Games, Artificial Intelligence & Machine Learning
Gaming, AI and ML commonly incorporate randomness to increase variation, introduce unpredictability, and improve realism. For example, non-player characters in video games use randomness for movement, dialog and behavior to feel more lifelike and less robotic. AI/ML leverage randomness to train networks more thoroughly against a wider possibility space and build more resilient models less prone to biases.
Generating True Randomness via Hardware
Given the pervasive need for genuine randomness across computing, how do software and hardware reliably produce it? Most systems today use either specialized hardware random number generators or hybrid combinations of hardware and software.
Hardware options utilize the inherent randomness within low-level physical phenomena to produce entropy. Different techniques for generating randomness exist but most hardware implementations focus on three main sources:
- Thermal Noise
- Semiconductor Quantum Physics
- Chaotic Oscillator Outputs
Generator Type | Description |
Thermal Noise | Amplifies and extracts random electrical noise from resistor thermal vibrations |
Quantum Physics | Leverages quantum mechanical properties like photon emission timing from LEDs/lasers |
Chaotic Circuits | Uses unpredictable oscillator circuit outputs from chaos theory |
Semiconductor-based solutions can generate high bitrates up to 5Gbps using compact modern chip fabrication allowing extensive harvestingof entropy. However these sources derive from complex, random physical processes proving impossible to predict or fully model mathematically. This unpredictability provides excellent entropy quality unattainable via software algorithms alone.
Most general-purpose computers now integrate random number generators within CPUs allowing applications access to decent hardware-based random data. For the highest security use cases, dedicated standalone hardware random number generators exist exceeding >100Gbps speeds. Hence accessing genuine randomness is available today even on common computing devices.
Cryptographically Secure Pseudo-Random Number Generators
While hardware mechanisms utilize hard-to-predict physical phenomena to produce randomness, software solutions must take a different approach. Algorithmically-generated randomness cannot achieve true randomness from a physics perspective. However clever mathematical techniques like cyclical algorithms can generate randomness passing many statistical tests of randomness within their output bit length limits.
Cryptographically secure pseudo-random number generators (CSPRNG) serve as the premier software-based method for generating randomness. CSPRNGs work by repeatedly applying cryptographic primitives like hash or cipher functions on initial random seed values. This process produces a chain of output bits not reproducible without the original seed key. Leading CSPRNG algorithms include:
- Hash_DRBG
- HMAC_DRBG
- CTR_DRBG
Software libraries implement these CSPRNGs so developers can integrate quality randomness into applications with proper seeding. Seeding establishes the initial starting point for randomness generation using an entropy source like hardware random number generators or timing variability.
CSPRNGs allow the production of vast quantities of randomized data for any purpose needed. Compared to hardware mechanisms limited by physics on maximum speeds, algorithms scale boundlessly in the bits created as long as adequate computational power exists.
Yet key differences between software and hardware randomness remain. While CSPRNG outputs pass statistical testing and contain no observable patterns, their pseudo-randomness means given the same seed, the exact same value sequence will generate each time. Also, if a CSPRNG algorithm or implementation has flaws, adversaries could predict and exploit output resulting in compromised security. Still, with proper cryptographic design and regular reseeding, CSPRNGs provide quality randomness for most software needs.
Conclusion
From the above exploration, we see true randomness plays a pivotal role across computing – from cybersecurity to simulations and beyond. While no substitutes for true physically-derived entropy exist, modern hardware and hybrid hardware-software solutions provide abundant randomness for practical usage.
However as computing continues evolving with new technologies like quantum, ensuring high-quality randomness generation tackles emerging information security and system reliability challenges. Access to ample true randomness stands necessary now for current computing functionality and lays the foundation for future innovation.
Features
I know exactly why leftists aren’t celebrating this ceasefire

Relief that the fighting may be at an end is one thing. Joy — after all this suffering — is another
This story was originally published in the Forward. Click here to get the Forward’s free email newsletters delivered to your inbox.
“We can’t hear you, Zohran,” read one New York Post headline this week: “Pro-Hamas crowd goes quiet on Trump’s Gaza peace deal.”
“It seems awfully curious that the people who have made Gazans a central political cause do not seem at all relieved that there’s at least a temporary cessation of violence … Why aren’t there widespread celebrations across Western cities and college campuses today?” the article asked.
The Post wasn’t alone in voicing that question. A spokesperson for the Republican Jewish Coalition posted on X that “The silence from the ‘ceasefire now’ crowd is shameful and deafening.” Others went so far as to imply that the protesters had been lying and never actually wanted a ceasefire — because what they really wanted wasn’t freedom and security for Palestinians, but the ability to blame Israel. If pro-Palestinian voices had really wanted a ceasefire, the thinking went, they would be celebrating.
I read these various posts and articles and thought of Rania Abu Anza.
I have thought of her every day since I first read her story in early March 2024. Anza spent a decade trying to have a child through in vitro fertilization. When her twins, a boy and a girl, were five months old, an Israeli strike killed them. It also killed her husband and 11 other members of her family.
A year and a half later, a ceasefire cannot bring her children, her husband, or her 11 family members back. They were killed. They will stay dead. What is there to celebrate?
This does not mean that the ceasefire is not welcome, or that it is not a relief. On the contrary: It is both. Of course it’s a relief that the families of hostages don’t need to live one more day in torment and anguish. Of course it’s a relief that more bombs will not fall on Gaza.
But celebration implies, to me anyway, that this is a positive without caveats. And in this situation, there are so many caveats.
The families of the surviving hostages will still have spent years apart from their loved ones, in no small part because their own government did not treat the hostages’ return as the single highest priority. The families of those hostages who were killed in the war will never again sit down to dinner with their loved ones, who could have been saved. And it is difficult to fathom what’s been taken from the hostages themselves: time spent out exploring the world, or with family and friends, or at home doing nothing much at all but sitting safely in quiet contemplation.
And a ceasefire alone will not heal Israeli society, or return trust to the people in their government. It will not fix some of the deep societal problems this war uncovered. A Chatham House report this August found that: “Israeli television ignores the suffering of Palestinians in Gaza, while the rhetoric is often aggressive. Critical voices, from inside Israel or abroad, are attacked or silenced.” If the country is ever going to find its way back from Oct. 7 and this war, a ceasefire is a necessary precondition, but not a route in and of itself.
In Gaza, Palestinian health authorities have said that about 67,000 people — not distinguishing between combatants and civilians — have been killed by Israel’s campaign in response to Oct. 7. A full third of those killed were under the age of 18. The ceasefire cannot bring those children back to life.
It cannot turn back time and make it such that Israel admitted more than minimal aid to the embattled strip. It will not undo the damage that has been done to the people of Gaza who were denied enough to eat and drink and proper medical care. It will not give children back their parents, or parents back their children. It will not heal the disabled, or make it so that they were never wounded.
It will not change that all of this happened with the backing of the United States government. (This is to say nothing of the West Bank, which has seen a dramatic expansion of Israeli settlements and escalation of settler violence over the course of the war). And as American Jewish groups put out statements cheering the ceasefire, we should also remember that it does not reverse the reality that too many American Jews were cheerleaders for all this death.
Protesters calling for a ceasefire have regularly been denounced as hateful toward Jews or callous toward the plight of Israelis; American Jews who called for one were called somehow un-Jewish. (Yes, some pro-Palestinian protesters also shared hate toward Jews; the much greater majority did not.) The charge of antisemitism — toward those calling for a ceasefire, those calling for a free Palestine, and those who called attention to Israel’s abuses during this war — was used to silence criticism of Israel and of U.S. foreign policy. Some American Jews went so far as to call for the deportation of students protesting the war.
A ceasefire doesn’t change any of that. It can’t.
I have hopes for this ceasefire. At best, it will allow people — Israelis and Palestinians and, yes, diaspora Jews — to chart a new, better course going forward. But it almost certainly will not do that if we delude ourselves into thinking of this as a victory or a kind of tabula rasa, as though the lives lost and hate spewed are all behind us, forgotten, atoned for. The last two years will never not have happened. What happens next depends on all of us fully appreciating that.
This story was originally published on the Forward.
Features
New book about a man who helped to save the lives of 200,000 Hungarian Jews

Reviewed by BERNIE BELLAN I have to admit that, as much as I consider myself reasonably informed about the history of the Holocaust, I had never heard of Rudolf Vrba.
Further, when it comes to an understanding of what happened to Hungary’s Jewish population, it’s the story of Swedish diplomat Raoul Wallenberg that comes foremost to mind.
But now, after having read a new book by Canadian journalist Alan Twigg, titled “Holocaust Hero – The Life & Times of Rudolf Vrba,” I have a much better understanding of what happened to Hungarian Jewry.
There were approximately 800,000 Jews alive in Hungary at the beginning of World War II and, even though 63,000 Hungarian Jews had been murdered by their fellow Hungarians prior to Germany’s entry into Hungary in March 1944 (with the willing cooperation of Hungarian authorities), by the end of World War II only about 200,000 Hungarian Jews remained alive. Of the Jews who were murdered by the Nazis, 424,000 were sent to their deaths in Auschwitz-Birkenau – in a relatively short period of time: between April and July, 1944.
There would have been many more Hungarian Jews who would have been sent to Auschwitz-Birkenau, however, were it not for the heroism of two individuals who actually managed to escape from Auschwitz in April 1944: Rudolf Vrba and Alfred Wetzler.
While there have been many books written describing how those two brave men managed to escape Auschwitz (and there were only six individuals who managed to do that the entire time Auschwitz was in existence as the largest death camp in the history of the world), Rudolf Vrba’s story is one that should be of particular interest to Canadians because Vrba actually lived in Canada for 31 years of this life, when he was a very well respected professor of biochemistry at the University of British Columbia.
Now, with a recently released book by a well known Canadian historian and journalist by the name of Alan Twigg, a much more complete account of Vrba’s story, beginning with his childhood in Slovakia and ending with a long interview with Vrba’s second wife, Robin Vrba, is available.

Here are the first two paragraphs taken from Twigg’s introduction to the book, which describe in a nutshell why Vrba deserves to be celebrated: “This first volume of a two-volume biography asserts there was much more to Rudolf Vrba than his escape from Auschwitz and his subsequent report that saved 200,000 lives. An outstanding medical researcher, Vrba submitted testimony at the Eichmann trial, pursued war criminals, served globally as a riveting public speaker and combatted Holocaust denialists.
“Under his birth name Walter Rosenberg, he survived…24 near-death experiences over a three-year period as a teenager… At 20, he fought in ten life-threatening battles as a Partisan in the mountains of Slovakia and became a decorated war hero. Rudolf Vrba was a Jew who fought back.”
Twigg explains that this book deals mostly with Vrba’s life up to 1946 and that a second volume will explore his quite successful career as a biochemist.
What emerges though, from Twigg’s account of Vrba’s life is unbridled admiration for Vrba’s brilliance – as someone who could make instant assessments of life or death situations and, no matter how fraught with danger the wrong choice could entail, retained his composure and thought his way through to survival.
Born Walter Rosenberg, Vrba was eventually given the alias Rudolf Vrba by Jewish authorities in Slovakia, which is to where he escaped from Auschwitz with Wetzler in April 1944. Rather than reverting to Walter Rosenberg following the war he kept the name Rudolf Vrba.
Twigg provides a great deal of information about Vrba’s early life throughout the book, but what is sure to grab the reader’s attention and want to make even someone who might not be all that interested in reading something about a Holocaust survivor is the introduction in which Twigg lists the 24 different experiences that Vrba survived as a teenager, each of which – had they gone the wrong way, could very well have ended with his death.
The fact that Vrba was one of only six Jews to have escaped Auschwitz is amazing in itself, but it is what he – along with Wetzler, did after escaping that makes one wonder why he hasn’t received greater recognition in Canada – and which leads Twigg to want to correct that grave injustice.
Vrba and Wetzler wrote down what they had witnessed happening in Auschwitz-Birkenau in a 20-page report that was given to Slovakian Jewish authorities and which became known as the “Vrba-Wetzler Report.” It provided detailed information about the large scale extermination of what the report calculated were 1,765,000 Jews between April 1942 and April 1944, all of whom had been murdered in Auschwitz-Birkenau.
Vrba had an incredible memory for detail and it was the figures that he entered into the report that came to be accepted as quite accurate when they were later corroborated by the testimony of others, including the most notorious commandant of Auschwitz, Rudolf Hoss (or Hoess).
Although Vrba only arrived in Auschwitz in June 1942, he based his calculations on what he saw transpiring every day that he was there, when he witnessed the number of trains arriving daily, how many boxcars were part of each train (45 on average), and how many people were stuffed into each boxcar (60 on average).
While the report did receive dissemination among various Western European and American authorities, Twigg argues that it was deliberately suppressed by leaders of the Hungarian Jewish community – who had been well aware of the report around the same time mass deportations of Hungarian Jews began in April 1944. Germany had not entered into Hungary until March 1944 and the Hungarian Jewish community was the last Jewish community to be largely extinguished during the war.
A major part of Twigg’s book deals with Vrba’s contention that one man in particular, Rudolf Kastner, who was head of what was known as the Budapest Aid and Rescue Committee, and who was well aware of the Vrba-Wetzler Report, could have used his influence to warn Hungarian Jews about their impending fate at the hands of the Nazis but, for whatever reasons he may have had, chose not to do so. (Twigg does describe though, a deal Kastner made with Adolph Eichmann, who was in charge of Germany’s extermination program in Hungary, to save the lives of 1600 Hungarian Jews, many of whom were either friends or relatives of Kastner.) The contempt with which Vrba and, in turn, Twigg, held for Kastner and those who came to his defense – including one of Israel’s most respected historians, Yehuda Bauer, emerges clearly in the book.
Eventually, however, and in no small part, due to the failure of leaders of Hungary’s Jewish community to warn their fellow Jews what fate awaited them if they followed orders to board the trains, over 400,000 Hungarian Jews were sent to their slaughter. With the total cooperation of Hungarian authorities, Jews – as they were in every other jurisdiction where they were ordered on to trains, were misled into thinking that they were simply being deported, not headed for extermination.
It was only after the Vrba-Wetzler Report gained wide dissemination, a process which Twigg describes in some detail, that pressure began to mount on Miklos Horthy, the “Regent” of Hungary, to stop assisting the Germans in the deportation of Hungarian Jews. (After reading other information about Horthy, however, it is not clear the extent to which Horthy was aware Jews were being sent to their deaths prior to the publication of the Vrba-Wetzler Report. Twigg does not enter into that debate.)
While “Holocaust Hero – The Life & Times of Rudolf Vrba” does tell a fascinating story, at times it does lose momentum. Perhaps because Twigg makes quite clear from the outset that he is a journalist and a historian, not a novelist, he relies upon previously written accounts, including Vrba’s own autobiography, to cobble together a narrative from a variety of different sources. What results is a book that will probably be of great interest to students of history, but not as much to those who might prefer to read a story laden with graphic imagery.
There are many instances throughout the book where Twigg takes great pains to offer substantiation for what he says happened to Vrba during the Second World War – which was undoubtedly horrifying, but because the author is so dispassionate in his writing, what Vrba endured does not come across as chillingly as one might expect.
Reading about stacking bodies in advance of their being taken to a crematorium or of sorting through the possessions of the victims – all of which Vrba did, doesn’t quite deliver the gut punch that we’ve come to expect when we see actual visual representations of the same experiences – whether it be through documentary footage or dramatizations in such films as “Schindler’s List” or , to my mind, the most riveting film ever made about what life in Auschwitz was truly like – “Son of Saul,” a Hungarian film that won the Academy Award for best foreign film in 2015.
The book contains quite a bit more information than perhaps the average reader might need to know, including a very lengthy transcript of an interview Twigg had with Vrba’s widow, Robin Vrba. While it’s somewhat interesting to read about their life together, it’s hardly germane to the story how important a role Vrba ultimately played in saving the lives of 200,000 Hungarian Jews.
Still, as we approach the anniversary of Kristallnacht, which happened 87 years ago, and which was the harbinger of what was to come for European Jewry, reading a book that describes how one individual in particular, Rudolf Vrba, not only survived the Holocaust when almost anyone else in the same situations he repeatedly encountered would have succumbed to the easy way out and accepted death, it reminds us that stories of heroism on an unimaginable level can make us realize that whatever hardships we may face in our own lives pale in comparison to what someone like Vrba endured.
“Holocaust Hero – The Life & Times of Rudolf Vrba”
By Alan Twigg
153 pages
Published by Firefly Books, September 2025
Features
Bitcoin Price Volatility: WOA Crypto – Why Cloud Mining Becomes a Safe Haven for Investors

(Posted Oct. 10, 2025) Bitcoin once again attracted market attention today, with the price around $122,259, with an intraday high of $124,138 and a low of $121,141. Driven by capital flows, ETF inflows, and macroeconomic factors, Bitcoin recently hit a new high, but encountered retracement pressure today and fluctuated widely between $121,000 and $124,000 during the initial decline.
There have been no major structural changes in capital flows. For most investors, the best way to deal with volatility is not to try to precisely time peaks and troughs, but to let assets generate returns both in the ups and downs.
Cloud Mining: A New Approach Beyond “Observing the Charts”
In a constantly volatile market, checking charts, chasing peaks (and then cutting losses) is routine—actions that often lead to emotional exhaustion and poor decision-making. Cloud mining offers a solid, rules-based revenue model.
What is cloud mining?
Cloud mining allows you to mine Bitcoin and other altcoins without having to purchase, manage, or maintain any mining hardware. Simply invest your digital assets (e.g., BTC, ETH, XRP, USDT), and the platform will provide you with the computing power and handle all technical issues. Yes, the system will mine for you and pay you daily.
To summarize: you invest cash, the platform provides computing power, and your time pays off.
During periods of high prices and volatility, cloud mining (due to its daily payouts and weak correlation with price fluctuations) attracts more rational investors.
WOA Crypto Mining: Making Cloud Mining Practical
Among the many cloud mining services, WOA Crypto positions itself as a simple, secure, and transparent service—allowing investors to focus on more than just price monitoring.
Key highlights of WOA Crypto
Zero technical barriers: No hardware setup or maintenance required.
Daily payouts: Profits are automatically settled every 24 hours, ensuring a stable cash flow.
Multi-asset support: Accepts BTC, ETH, XRP, and USDT.
Transparent and secure system: Clear rules, an open profit structure, and a proven withdrawal mechanism.
Green energy and global deployment: Using efficient computing centers powered by renewable energy to increase stability and reduce costs
How to start your WOA Crypto mining journey
Visit the official WOA Crypto website.
Register using your email address and create a password.
Simply deposit BTC, ETH, XRP, or USDT, and your funds will be converted into computing power.
Choose a mining contract plan and start earning your first profit within 24 hours.
No technical knowledge or hardware required, no need to follow market trends: this simple-to-use app will give you a comfortable home cloud mining experience. Click here to get started.
Conclusion: Finding stability amidst volatility
While the price of Bitcoin has fluctuated between $121,000 and $124,000, the winners haven’t been those who perfectly timed the tops and bottoms, but rather those who consistently let the asset perform.
Cloud mining eliminates most of the emotional fluctuations in trading and provides a strategy that is easy to accumulate over the long term, which can continue to accumulate capital even in uncertain times. In times of market volatility, letting assets grow in value is undoubtedly the most resilient investment strategy.
Official email: info@woacrypto.com