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23+ hour, 41+ min ago (441+ words) BALTIMORE, December 08, 2025--Kiddom and Illustrative Mathematics announce Kiddom IM v.360 Maryland, a new math curriculum built specifically for the Revised MCCRS for Mathematics. Oops, something went wrong Kiddom and Illustrative Mathematics" Launch Maryland Math Curriculum for 2026-27 K-12 Implementation Kiddom IM" v.360 Maryland fully aligns with the Revised Maryland College and Career Ready Standards (MCCRS) for Mathematics BALTIMORE, December 08, 2025--(BUSINESS WIRE)--Kiddom, in partnership with Illustrative Mathematics (IM), today announced Kiddom IM v.360 Maryland, a new math curriculum built specifically for the Revised MCCRS for Mathematics for K-8 and Integrated Algebra. Launching for the 2026-27 school year, Kiddom IM v.360 Maryland supports the state's instructional vision to help every Maryland student master mathematical procedural skills, develop deep conceptual understandings, and apply those understandings to solve real-world problems. The K-12 curriculum, which is certified by IM, enables districts to smoothly transition to the revised standards while implementing a coherent, cohesive learning…...

1+ day, 4+ hour ago (196+ words) The previous post showed how we can take the Fourier transform of functions that don't have a Fourier transform in the classical sense. In this post we want to take the Fourier transform of functions like sine and cosine. If you read that sentence as saying Fourier series, you have the right instinct for classical analysis: you take the Fourier series of periodic functions, not the Fourier transform. But with distribution theory you can take the Fourier transform, unifying Fourier series and Fourier transforms. For this post I'll be defining the classical Fourier transform using the convention and generalizing this definition to distributions as in the previous post. With this convention, the Fourier transform of 1 is ", and the Fourier transform of " is 2. One can show that the Fourier transform of a cosine is a sum of delta functions, and the…...

1+ day, 7+ hour ago (522+ words) Suppose you have a constant function f(x) = c. What is the Fourier transform of f? We will show why the direct approach doesn't work, give two hand-wavy approaches, and a rigorous definition. Unfortunately there are multiple conventions for defining the Fourier transform. For this post, we will define the Fourier transform of a function f to be If f(x) = c then the integral diverges unless'c = 0. The more concentrated a function is in the time domain, the more it spreads out in the frequency domain. And the more spread out a function is in the time domain, the more concentrated it is in the frequency domain. If you think this sounds like the Heisenberg uncertainty principle, you're right: there is a connection. A constant function is as spread out as possible, so it seems that its Fourier transform should be as concentrated…...

1+ day, 7+ hour ago (213+ words) The weakest link in the privacy of cryptocurrency transactions is often outside the blockchain. There are technologies such as stealth addresses and subaddresses to try to thwart attempts to link transactions to individuals. They do a good job of anonymizing transaction data, but the weak link may be metadata, as is often the case. The idea behind the Dandelion protocol is to have a "stalk" period and a "diffusion" period. Imagine data working up the stalk of a dandelion plant before diffusing like seeds in the wind. The usual P2P process is analogous to simply blowing on the seed head [1]. During the stalk period, information travels from one node to one node. Then after some number of hops, the diffusion process begins; the final node in the stalk period diffuses the information to all its peers. An observer with substantial but…...

1+ day, 14+ hour ago (497+ words) The scatterplot shows the relationship between two variables, x and y, for data set E. A line of best fit is shown. Data set F is created by multiplying the y-coordinate of each data point from data set E by 3.9. Which of the following could be an equation of a line of best fit for data set F? A)" y = 46.8 + 5.9x B)" y = 46.8 + 1.5x C)" y = 12 + 5.9x D)" y = 12 + 1.5x 48x - 64y = 48y + 24 ry =" - 12x In the given system of equations, r is a constant. If the system has no solution, what is the value of r ? The function f is defined by f(x) = |x - 4x|. What value of a satisfies f(5) - f(a) = -15? The given equations relates the variables n, t and w, where n > 0, t > 0 and w > t. Which expression is equivalent to n? (x - 40)(x + 32) = p In the equatio0n above, p is a positive constant such that the quadratic equation has two irrational solutions…...

2+ day, 10+ hour ago (634+ words) JHARKHAND: Where there is will, determination, there is always a way. Gulshan Lohar, a 39-year-old disabled person, has become an inspiration to everyone around him by conquering his shirtcomings and achieving something truly commendable. Lohar is a mathematics teacher at Utkaramit Uccha Vidyalaya at Baranga in West Singhbhum, and has been teaching for the past 11 years. Each day, Gulshan enters his classroom with unwavering spirit, gripping chalk between his toes to teach mathematics on the blackboard. Baranga village, where he teaches, lies deep inside Saranda forest, an area historically plagued by unrest and poor infrastructure. Access to education is difficult'basic facilities are unavailable and teachers usually hesitate to undertake this long, risky journey. Lohar's dedication stands out here; he took loans from well-wishers to pursue his education, walked several kilometers along rough forest tracks and even secured a Chief Minister's…...

2+ day, 13+ hour ago (1240+ words) Proposed changes to North Carolina's math standards would shake up requirements for upperclassmen in the state's public high schools and emphasize real-world problem-solving in all grade levels. The changes are designed to make more advanced math seem more interesting and relevant to students' lives and to better set them up for their plans after high school. To do that, leaders want to give students the choice of their final two required math classes " picking from electives including Applied Statistics and Data Science, Applied Logic and Reasoning, and more. The revisions would eliminate two existing required classes " known simply as Math 3 and Math 4 " and require students to take the two electives instead. Math 3 covers advanced algebra and pre-calculus. And Math 4 is focused heavily on probability and statistics. Those topics would be covered in some of the new electives." With the proposed…...

3+ day, 3+ hour ago (621+ words) I'm taking a break from my series on celestial navigation. The previous posts give the basics, but I haven't thought of a way to go further that I'm satisfied with. So now for something completely different: Pedersen commitments. Pedersen commitments are a building block of zero knowledge proofs (ZKP), and they give an opportunity to look at a couple other other interesting topics: nothing-up-my-sleeve constructions and homomorphic encryption. A Pedersen commitment to a value v takes a random number'x and two generators of an elliptic curve,'G and'H, and returns C = vG +'xH. The significance of'C is that it appears to be a random number to the recipient, but the sender who calculated it can later show that it was computed from c and'x.'C is called a commitment to the value'v because the sender cannot later say that'C was…...

4+ day, 1+ hour ago (101+ words) Mathematicians have discovered a new infinity, one that is so strange that it could change how we understand logic, numbers and even the universe itself ... Mathematicians have just discovered a new infinity, one that doesn't follow any of the rules of mathematics. It is so strange, in fact, that it could change how we understand logic, numbers and even the universe itself. In this video, University of Oxford physicist Abi James takes us on a tour of the infinity ladder, a rung-by-rung guide to the largest numbers possible " and even finds mathematicians who want to destroy infinity altogether....

4+ day, 10+ hour ago (1425+ words) The best way to do well on any test is to be experienced with the content. The purpose of the content given here is teach the students the concepts and battle-tested approaches they need to know to answer all types of questions in SAT math. The goal is for every SAT question to be a simple reflex, something the students know how to handle instinctively because they have seen it so many times. Format of the Test : Two-stage adaptive test design : one Math section administered via two separately timed modules 1st module : 20 operational questions and 2 pretest questions2nd module : 20 operational questions and 2 pretest questions The time limit for each module is 35 minutes and the build-in Desmos calculator is allowed for all the questions in both the modules. Questions on the Math section represent one of four content domains : "Algebra : Measures the ability to…...