Calculus I - Optimization - Pauls Online Math Notes
Nov 16, 2022 · In this section we are going to look at optimization problems. In optimization problems we are looking for the largest value or the smallest value that a function can take.
Nov 16, 2022 · In this section we are going to look at optimization problems. In optimization problems we are looking for the largest value or the smallest value that a function can take.
To model discriminative, i.e. competition induced, self-thinning in even-aged forest stands a concept has been explored that discriminative mortality alters spatial arrangement of trees which in turn alters the mortality. Function of density was sugg...
Mouse Jiggler is a very simple piece of software whose sole function is to "fake" mouse input to Windows, and jiggle the mouse pointer back and forth. (⭐ 1342)
The interfacial tension between immiscible liquids is studied as a function of a model linear surfactant length and concentration using coarse grained, dissipative particle dynamics numerical simulations. The adsorption isotherms obtained from the si...
A word $w_1w_2\cdots w_n$ is said to be up-down if $w_1 < w_2 >w_3 \cdots$. Carlitz and Scoville found the generating function for the number of up-down words over an alphabet of size $k$. Using properties of the Chebyshev polynomials we derive a clo...
We present a top-down lower-bound method for depth-$4$ boolean circuits. In particular, we give a new proof of the well-known result that the parity function requires depth-$4$ circuits of size exponential in $n^{1/3}$. Our proof is an application of...
Data from e+e- annihilation into hadrons collected by the JADE experiment at centre-of-mass energies between 14 GeV and 44 GeV were used to study the four-jet rate as a function of the Durham algorithm's resolution parameter y_cut. The four-jet rat...
In this paper, we investigate the conversion of a Twitter corpus into geo-referenced raster cells holding the probability of the associated geographical areas of being flooded. We describe a baseline approach that combines a density ratio function, a...
We introduce and study Certificate Game complexity, a measure of complexity based on the probability of winning a game where two players are given inputs with different function values and are asked to output some index $i$ such that $x_i\neq y_i$, i...
In Mathematics Kullback-Leiber divergence (KL), Cross-Entropy (CE), Entropy (H) always mean only one thing, but the term Entropy unfortunately can vary from the scientific community. In any case, the …
We develop an analytical formalism that is suitable for studying inhomogeneous structure formation, by studying the joint statistics of dark matter halos forming at two points. Extending the Bond et al. (1991) derivation of the mass function of vir...
Aug 21, 2025 · Hello InDesign Users, We are making important updates to how certain features in Adobe InDesign are supported. Without the update, certain features may not function as intended in …
Dec 21, 2025 · I’ve tried fully resetting InDesign using every available method: resetting preferences, clearing cache, renaming both the Roaming and Local InDesign folders, and restarting the …
**Context:** Function was deployed successfully as it can run but the azure cli fails which then fails my CI/CD pipeline. Post here for more visibility as someone else encounter similar recently. * ...
We show that every $H$-minor-free graph that also excludes a $(k \times k)$-grid as a minor has treewidth/branchwidth bounded from above by a function $f(t,k)$ that is linear in $k$ and polynomial in $t := |V(H)|$. Such a result was proven originally...
Recently, Keith investigated reciprocals of false theta functions and proved some interesting results such as congruences, asymptotic bounds, and combinatorial identities. At the end of his paper, Keith posed a conjecture on congruences modulo 4 and...
The following document is a translation (from French to English) of: Gabriele H. Greco, Sur la mesurabilité d'une fonction numérique par rapport à une famille d'ensembles, Rendiconti del Seminario Matematico della Università di Padova}, tome 65 (...
The potential for planet formation of a circumstellar disk depends on the dust and gas reservoirs, which evolve as a function of the disk age. The ALMA Large Program AGE-PRO has measured several disk properties across three star-forming regions of di...
After a debt has been legally declared "uncollectable" by a bank, the account is considered "charged-off." But that doesn't mean the bank walks away from the debt. They still want to collect some of the money they are owed. The bank will score the account to a…
The ratio of the nucleon $F_2$ structure functions, $F_2^n/F_2^p$, is determined by the MARATHON experiment from measurements of deep inelastic scattering of electrons from $^3$H and $^3$He nuclei. The experiment was performed in the Hall A Facility...