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math/729033_48155ebf7a3ccceb_32638.txt | and more to identify programs or policies that will significantly increase the efficiency of and reduce emissions from large commercial buildings in Madison.”There are dozens of cities across the nation that have put policy measures in place to reduce emissions from the building sector [url=https://www.vivobarefoots.es... |
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math/1475_cf8b9e0971c96393_184.txt | 80 combination Three points A, B, and C in three-dimensional space are collinear if the triangle they form has zero area. Equivalently, the three points are collinear if the → → angle between the VECTORS AB and AC is zero, and → → consequently the CROSS PRODUCT AB × AC equals the zero vector. The collinearity of points... |
math/107483_db9c0f2f4b6f960d_436.txt | Quark and lepton masses and mixings are considered in the framework of the microscopic model. The most general ansatz for the interactions among tetrons leads to a Hamiltonian $H\_T$ involving Dzyaloshinskii-Moriya (DM), Heisenberg and torsional isospin forces. Diagonalization of the Hamiltonian provides for 24 eigenva... |
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math/92171_f467e2efefddb294_369.txt | Fuzzy simplicial sets have become an object of interest in dimensionality reduction and manifold learning, most prominently through their role in UMAP. However, their definition through tools from algebraic topology without a clear probabilistic interpretation detaches them from commonly used theoretical frameworks in ... |
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math/3742825_029af0a44731fcc2_373.txt | The growing global population of older adults, combined with ongoing healthcare workforce shortages, has increased reliance on informal caregivers, including family members and friends who provide unpaid support to individuals with chronic illnesses. Among their daily responsibilities, medication management remains one... |
math/4922055_dcd4406d5f48241d_276.txt | But we know that a is one of the roots of this equation, and therefore NR, the shorter length, must be a, and CG must be y. Then x = y − a = CG − NR, the first of the required mean proportionals. 233. That is, makes so small an angle with it. 234. This is especially noticeable when there are six real positive roots. Is... |
math/3742825_cfa6e6481b8cd2bd_319.txt | Cross-curricular integration is one of the key concepts of modern orientations of education development because students who are involved in elementary school education have to gain competencies that go beyond the traditional boundaries between subjects so that they will be able to participate in the society of knowled... |
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math/4358766_493178ec05746044_12.txt | Let’s try and model this problem using the compartmental analysis we had seen in the mixing problems. The total rate of change of any population would be due to those entering the group less those leaving the group. For example, the number of healthy people decreases due infection and can increase when some of the infe... |
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math/4bf0dc54_0689.txt | Authors: Urs Frauenfelder, Joa Weber Comments: 81 pages, 8 figures In Floer theory one has to deal with two-level manifolds like for instance the space of $W^{2,2}$ loops and the space of $W^{1,2}$ loops. Gradient flow lines in Floer theory are then trajectories in a two-level manifold. Inspired by our endeavor to find... |
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math/735679_38f92ec619efd747_37.txt | Consider the general finite group of rotations. Since there is an invariant point **O** (lying on the axes of all the rotations), it is convenient to regard the group as operating on a *sphere* with centre **O,** instead of the whole space. Each rotation, having for axis a diameter of the sphere, is then regarded as a ... |
math/25111_dd79e43f58faa350_654.txt | Many of the arguments for the FORECAST.ETS.CONFINT function are the same as the arguments for the FORECAST.ETS function. The first argument in the FORECAST.ETS.CONFINT function specifies the period to be forecasted. The second argument specifies the time series data upon which the forecast is based. The third argument ... |
math/78fb05ff_2672.txt | Qingyuan Wu · Simon Zhan · Yixuan Wang · Yuhui Wang · Chung-Wei Lin · Chen Lv · Qi Zhu · Jürgen Schmidhuber · Chao Huang Reinforcement learning (RL) is challenging in the common case of delays between events and their sensory perceptions. State-of-the-art (SOTA) state augmentation techniques either suffer from state sp... |
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math/735679_3ba79078c26ca0d6_28.txt | | | | | --- | --- | | **ChatGPT 4o** | | | The hypothesis you're articulating -- building on the insights of Ernest McClain -- suggests that numerical memorability in structured sets (e.g. philosophical categories, cognitive patterns, or musical systems) may correlate with the numerological elegance of their total co... |
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math/363652_fbb249f58a1ea9af_120.txt | Figure 7.3: Lines of equal blocking energy in plot of grain volume, v, against the anisotropy energy density, K. Lines of equal blocking energy (product Kv) are also lines of equal relaxation time, τ, at a given temperature (here assumed to be room temperature). Contours are for a hypothetical population of magnetic gr... |
math/9d9a3854_11046.txt | In addition, two hour exams should be given. These exams are usually given in the fourth and eighth week; the exact time they are scheduled is up to the instructor. 24 of the 26 lectures are specified. The course Math 33B has evolved over the years. At one time it was a course in infinite series, including power series... |
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math/59738_b57ad2f9f3f161df_96.txt | Second, unless a black hole is VERY hot, it doesn’t emit much of anything; The total power output of a black body is proportional to the \*fourth power\* of the temperature (Stefan–Boltzmann law); which means if you halve the temperature the power output is only 6% Now imagine a star, think how faint it is. It has a te... |
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math/3742825_cfa6e6481b8cd2bd_83.txt | We study a graph theory problem related to the self-assembly of DNA structures. The self-assembly can be obtained by several methods that are based on the Watson-Crick complementary properties of DNA strands. We consider the method based on branched junction molecules, that is, star-shaped molecules whose arms have coh... |
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math/25111_dd79e43f58faa350_638.txt | a. Construct a time series plot. What type of pattern exists in the data? b. Use exponential smoothing with a 5 0.4 to develop a forecast of demand for week 25. What is the resulting MSE? 11. On-Time Shipments. For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months ar... |
math/735679_a0dfa7836ef47b49_80.txt | | | | | --- | --- | | **ChatGPT-5** | **DeepSeek** | | Here’s a compact way to connect your polyhedral “carousel” to what Gobet–Lloyd-Kelly–Lane review about chunks, schemata and retrieval structures—and why a geometric scaffold makes sense for memory. **What the chunking literature actually says (and what’s missing)... |
math/363652_7a5d60a9a23e5c9a_6.txt | An observable of the system would be represented by a $\:2\times2\:$ *hermitian matrix* A of the form \begin{equation} A= \begin{bmatrix} a\_3 & a\_1\!\boldsymbol{-}\!ia\_2 \vphantom{\dfrac{a}{b}}\\ a\_1\!\boldsymbol{+}\!ia\_2 & a\_4\vphantom{\dfrac{a}{b}} \end{bmatrix} \quad \text{with} \:\:\:\left(a\_1,a\_2,a\_3,a\_4... |
math/4dc3fb9d_3508.txt | Here is a sangaku - a Temple geometry - problem in an equilateral triangle similar to another one in a square. The similarity aside, the current one is much more difficult than the other. This is the problem #2.1.7 from [Fukagawa and Pedoe]. The problem is from an existent 1886 tablet found in the Fukusima prefecture: ... |
math/06c97061_148352.txt | To calculate the line integral, let's define the closed path on the original surface as C , and the projection of the domain of C onto the surface as C _0 , as shown in Figure 10 below. |
math/353276_70b3c4c9112164f5_76.txt | Recent segmentation methods, which adopt large-scale data training and transformer architecture, aim to create one foundation model that can perform multiple tasks. However, most of these methods rely on heavy encoder and decoder frameworks, hindering their performance in real-time scenarios. To explore real-time segme... |
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math/1866757_bb0f8b9cd73ec091_88.txt | 6.4 Riemann–Hilbert method A variety of methods have been developed to prove the above universality results in vary ing degrees of generality. One of these methods will be described here, namely the steep est descent analysis for the Riemann–Hilbert problem (RH problem). This is a powerful method for obtaining strong... |
math/42005_a56b39f829963d58_222.txt | Much of this course will revolve around variations on the following concept. Definition 42.1. A fiber bundle is a map p : E → B with the property that for every b ∈ B there exists an open subset U ⊆ B containing b and a map p−1 (U ) → p−1 (b) such that p−1 (U ) → U × p−1 (b) is a homeomorphism. When p : E → B is a fibe... |
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math/3030191_e87214fa2e64ad4e_250.txt | This generalization may seem straightforward enough, but let’s go through some of its implications. For one thing, common indexes like the Federal Housing Finance Agency House Price Index are excluded, as are most hedge fund indexes. These indexes aren’t based on liquid instruments, and therefore, they aren’t investabl... |
math/3742825_cfa6e6481b8cd2bd_671.txt | Global and local migration patterns are generating a lot of attention in political circles. This is a challenge for mathematical scientists to develop and simulate the various impact of migration patterns using models. In this research, the dynamics of migration between two communities was investigated using the discre... |
math/59738_99c5b21187f93f67_10.txt | This understandable misconception is a big part of the problem that Trump created on Wednesday. He presented the “reciprocal tariffs” as if these countries were already applying tariffs on the US. They weren’t. The percentages were trade deficits, which are completely different than tariffs (a trade deficit is just say... |
math/59738_7a0f56a6bb79783d_59.txt | It’s probably less amazing than you think. 🙂 All that happens is that a photon escapes past your dS boundary, so then if you want to write the density matrix for the universe *inside* your boundary, the standard rules of quantum mechanics say that you need to take a partial trace over all the possible states of the ph... |
math/3742825_a5801def072ec91c_2282.txt | Though the original version of enactivism resists definition in terms of a set of central theses, it does have distinctive features. There are three key and recurring themes emphasized in the original statement of enactivism. The first theme is that understanding organismic biological autonomy is the key to understandi... |
math/3030191_8def6d31c59da930_446.txt | I read an article about *Eragon* before I’d ever heard of it; apparently his parents were small-book publishers or something, and went around promoting his book heavily. I found this rampant nepotism and an example of how media success is not a meritocracy, but I decided I should read the book before I jumped to negati... |
math/2825922_fdb7b48aaf6e43d3_4883.txt | but have you ever tried icewine? When the grapes freeze right on the vine in the colder months they are harvested to create a sweet and delicious icewine. There is a mystique and romance that's grown up around Icewine. It's called Canada's "liquid gold" uggs damen, the median home price in the county last monthwill be ... |
math/729033_088416c6542a36aa_8692.txt | Durham University.7MbAbstractSpectrophotometric (including stopped flow) techniques were used to examine the kinetics of NO group transfer reactions (transnitrosation) between S nitrosothiols (RSNO) and a wide range of sulfur/nitrogen nucleophiles in aqueous solution. The situation in Ukraine provides George W. Bush wi... |
math/3009635_167101ff300a4257_88.txt | Clad as a knight with a lance, sword, and dagger, St. George stands triumphantly before the dragon he has slain. This highly detailed print captures the contrasting textures of his mail coat and mittens with his mirror-polished plate armor. Visible straps and buckles secure the articulated tassets protecting the upper ... |
math/3742825_a5801def072ec91c_1152.txt | The key claim is that the Core Theory can be used in principle to adequately explain the behavior of a people, galaxies, leaves, and molecules. The hedge phrase “in principle” is important. One cannot replace it with “in practice” or “practically.” Practically there are many limitations on the use of the Core Theory. H... |
math/294fbab5_150729.txt | In this case, fzero did not find a solution whereas fsolve found a solution. I guess the reason could be fzero looks for exact zero crossing and fsolve is looking for a region close to zero. Based on this I am not sure why you still call fzero as robust when compared to fsolve ? Please let me know your suggestion on th... |
math/735679_ad2a229f4d76f0eb_307.txt | The departmental review process is an essential part of both a university’s and a department’s assessment processes. However, because of the long intervals that occur between these reviews, the process and expectations are often somewhat mysterious. This panel is intended to provide the audience with insight about the ... |
math/59738_02d8b50acb939ebf_473.txt | The media like CNN and MSNBC are as bad or worse than the democratic politicians. I just cannot get over the hypocrisy that exists. Why is it that Kamala Harris gets to promote violence causing lives taken, police and others injured, police station burned down, businesses, flags and bibles burned and all the lowdown ac... |
math/2825922_ea43d09e3c6ae6ed_228.txt | ered an elegant proof of a famous theorem in number theory, known as Chebyshev’s theorem, which says that for each number greater than one, there is always at least one prime number between it and its double. Number theory remained one of his chief interests, though his work spread across many fields, and he became ren... |
math/208603_c8ae2796108746ac_136.txt | Brackets are used to denote parts of the text that need to be ed when preparing drafts prior to finalizing a document. They often denote points that have not yet been agreed to in legal drafts and the year in which a report was made for certain case law decisions. Brackets are used in mathematics in a variety of notati... |
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math/735679_8faa9997ae6fbdd7_83.txt | In attempting to visualize a fourth coordinate or dimension in space, Conway built a device that allowed him to see with “double parallax”in addition to the displacement that occurs horizontally when you look at an object by closing one eye and then the other, he tried to train himself to see vertical parallax. If he c... |
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