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Tetramethylethylenediamine (data page)
Material Safety Data Sheet
The handling of this chemical may incur notable safety precautions. It is highly recommend that you seek the Material Safety Datasheet (MSDS) for this chemical from a reliable source such as SIRI, and follow its directions. | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Can a sequence be undefined at a point? A sequence which is a mapping from $\mathbb{N} \to \mathbb{R}$.
For example can the sequence $\{a_n\} = 1/(3-n)$.
This would be undefined at $3$.
Is it a sequence?
A:
If you define a sequence as a mapping $f$ from $\Bbb N$ to $\Bbb R$, then no, a sequence cannot be undefin... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Q:
Calculating power of a Hypothesis Testing Problem based on Uniform distribution Consider the problem of testing $H_0:a=0$ against $H_1:a=1/2$ based on a single observation X from U(a,a+1). The power of the test "Reject $H_0$ if $X>2/3$" is
(A)1/6 (B)5/6 (C)1/3 (D)2/3
My Steps:
Power of Test=P(reject $... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Mindfulness and technology
Technology
Software Neurofeedback makes conditions like attention, stress, arousal or mind-wandering visible. Real-time feedback leads to operant conditioning, a new form of learning which makes learning new techniques like Mindfulness and Meditation easier. There are several applications f... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Management system (open source)
Open Source (Many Names)
The concept of open source promotes a free exchange of ideas within the DoD community to drive creative, scientific and technological advancement. The Management System (Open Source) is a reference model that captures the underlying doctrine driving many of the... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Contour integration
Applications of integral theorems
conclusion If we can show the above step, then we can directly calculate R, the real-valued integral.
Example 1 Consider the integral To evaluate this integral, we look at the complex-valued function which has singularities at i and −i. We choose a contour that wi... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Weight (representation theory)
Weights in the representation theory of semisimple Lie algebras
The set of all λ (not necessarily integral) such that ⟨λ,γ⟩≥0 is known as the fundamental Weyl chamber associated to the given set of positive roots. | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Wave equation
Wave equation in one space dimension
The basic wave equation is a linear differential equation, and so it will adhere to the superposition principle. This means that the net displacement caused by two or more waves is the sum of the displacements which would have been caused by each wave individually. I... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Niche picking
Scarr and McCartney's model
Role Scarr and McCartney defined niche picking as a mechanism used to select environments suitable for one's genotype. Therefore, an individual’s temperament often affects the type of niche selected, since environment reflects one’s general disposition.An individual's niche c... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Harp
Modern European and American harps
The cross-strung harp has one row of diatonic strings, and a separate row of chromatic notes, angled in an "X" shape so that the row which can be played by the right hand at the top may be played by the left hand at the bottom, and vice versa. This variant was first attested as... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
IBM System Object Model
Comparison to COM
SOM is similar in concept to COM. Both systems address the problem of producing a standard library format that can be called from more than one language. SOM can be considered more robust than COM. COM offers two methods of accessing methods onto an object, and an object can ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Pepper (cryptography)
History
The idea of a site- or service-specific salt (in addition to a per-user salt) has a long history, with Steven M. Bellovin proposing a local parameter in a Bugtraq post in 1995. In 1996 Udi Manber also described the advantages of such a scheme, terming it a secret salt. The term pepper ha... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Toposes and Stone-type dualities The duality between the category Sets and the category CABool of complete atomic boolean algebras is an example of a general Stone-type duality. At the same time, Sets is a topos. Are there other known examples of Stone-type dualities involving toposes ? On the algebraic side of suc... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Q:
How prove this $XY=YX$ let the matrix $A\in M_{2}(C)$,and $A\neq aI$,and define
$$S=\{B\in M_{2}(C)|AB=BA\}$$,if $X,Y\in S$
show that
$$XY=YX$$
My try: since $X,Y\in S$,then
$$AX=XA$$
$$AY=YA$$
then How can prove
$$XY=YX$$
Thank you
A:
By a change of basis, we may assume that $A$ is in its Jordan form.
If $A$ ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Michael Ghil
Publications
A selection of books and papers is given below.
Selected books Bengtsson, L., M. Ghil, and E. Källén (Eds.), 1981: Dynamic Meteorology: Data Assimilation Methods, Springer-Verlag, New York/Heidelberg/Berlin, doi:10.1007/978-1-4612-5970-1, reissued as an eBook by Springer in 2012, e-ISBN 978-... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Let $a, b$ integers such that $ab+2a+3b=93$. Find all solutions integers. Let $a, b$ integers such that $ab+2a+3b=93$. Find all solutions integers.
What I tried is
$ab+2a+3b=b(a+3)+2a$ but i don't see how to proceed to related $a$ and $b$ such that see it multiplying and play with combinations of $93=3*13$.
A:
... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Durham tube
Durham tube
Durham tubes are used in microbiology to detect production of gas by microorganisms. They are simply smaller test tubes inserted upside down in another test tube so they are freely movable. The culture media to be tested is then added to the larger tube and sterilized, which also eliminates th... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Dirac delta function
Motivation and overview
The delta function allows us to construct an idealized limit of these approximations. Unfortunately, the actual limit of the functions (in the sense of pointwise convergence) lim {\textstyle \lim _{\Delta t\to 0}F_{\Delta t}} is zero everywhere but a single point, where i... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
How do I find all points on the y-axis that are a distance 6 from P(5,3)? How do I solve this problem?
find all points on the y-axis that are a distance 6 from P(5,3)
A:
Another hint that may help, try drawing a picture. All the points that are a distance of 6 from the point P(5,3) is simply a circle with center ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
PROSITE
PROSITE
PROSITE is a protein database. It consists of entries describing the protein families, domains and functional sites as well as amino acid patterns and profiles in them. These are manually curated by a team of the Swiss Institute of Bioinformatics and tightly integrated into Swiss-Prot protein annotati... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Pamela Templer
Career and research
Templer has written or contributed to over 130 peer-reviewed articles and cited over 4700 times . Her most cited work utilizes stable isotopes (in particular nitrogen) to examine how ecosystems respond to changing climate and other human disturbances. | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Inverse-square law
Occurrences
More generally, the irradiance, i.e., the intensity (or power per unit area in the direction of propagation), of a spherical wavefront varies inversely with the square of the distance from the source (assuming there are no losses caused by absorption or scattering).
For example, the int... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Probe tip
Probe tip
A probe tip is an instrument used in scanning probe microscopes (SPMs) to scan the surface of a sample and make nano-scale images of surfaces and structures. The probe tip is mounted on the end of a cantilever and can be as sharp as a single atom. In microscopy, probe tip geometry (length, width, ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
For the special “low- carb”trail mix, there are 1,000 pieces of mix. The total number of carbohydrates is 425 g, and the total amount of fat is
570.2 g. If there are 200 more pieces of cashews than cranberries, how many of each item is in the trail mix? | https://huggingface.co/datasets/izumi-lab/open-text-books |
TinTin++
TinTin++
A MUD (; originally multi-user dungeon, with later variants multi-user dimension and multi-user domain) is a multiplayer real-time virtual world, usually text-based or storyboarded. MUDs combine elements of role-playing games, hack and slash, player versus player, interactive fiction, and online cha... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
directly for decision making or presented to an audience of executives to aid them in making a decision. These audiences will generally not be interested in deciding for themselves which hypothesis the data support. When you are making a presentation of results to your boss, you will want to simply state which hypothes... | https://huggingface.co/datasets/izumi-lab/open-text-books |
Pioneer anomaly
Previously proposed explanations
Gravity It is possible that deceleration is caused by gravitational forces from unidentified sources such as the Kuiper belt or dark matter. However, this acceleration does not show up in the orbits of the outer planets, so any generic gravitational answer would need t... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Ecliptic coordinate system
Primary direction
Mean equinox of date is the intersection of the ecliptic of "date" (that is, the ecliptic in its position at "date") with the mean equator (that is, the equator rotated by precession to its position at "date", but free from the small periodic oscillations of nutation). Com... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
About groups and closed subsets of the group. Is it true any subset $H$ of a group $G$ that includes $\{e\}$ ( and the number of elements in $H$ is less the number of element in $G$) and $H$ is also closed by the operation of the group $G$; then $H$ is a subgroup of $G$?
A:
We already have the fact that the s... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Ordinal number
Definitions
Other definitions There are other modern formulations of the definition of ordinal. For example, assuming the axiom of regularity, the following are equivalent for a set x: x is a (von Neumann) ordinal, x is a transitive set, and set membership is trichotomous on x, x is a transitive set to... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Is the set $\{(x,y,z) \in \mathbb{R}^3:\left\|(x,y,z)\right\|\le 2\}$ a subspace? I was hoping someone could verify my work. Is the set
$$U=\{(x,y,z)\in \mathbb{R}^3: \|(x,y,z)\|\le2\}$$
a subspace? Using the standard inner product.
My work:
Let $u,v \in \mathbb{R}^3$
$$u = (0,0,2) \:\:{\rm and}\:\: v = (0,2,... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Geometric integrator
Pendulum example
zk+1=zk+hf(zk) (explicit Euler), zk+1=zk+hf(zk+1) (implicit Euler), zk+1=zk+hf(qk,pk+1) (symplectic Euler), zk+1=zk+hf((zk+1+zk)/2) (implicit midpoint rule).(Note that the symplectic Euler method treats q by the explicit and p by the implicit Euler method.) The observation that ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Inguinal hernia surgery
Indications for surgery
Urgent repair A hernia in which the small intestine has become incarcerated or strangulated constitutes a surgical emergency. Symptoms include: Fever Nausea and vomiting Extreme pain in the area of the hernia Warm hernia bulge with surrounding skin redness Can no longer... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
$p(X=E(X))=1$ then $var(X)=0$ If $X$ is a random variable s.t. $p(X=E(X))=1$ then $var(X)=0$ ($E(X)$ is the expected value and $var(X)$ the variance).
Is this true? I know how to prove the reverse but I can't find an easy way to prove this direction.
A:
What about using the fact that
$$
var(x) = E[\left(x-E(x)\... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Rastra
Fire rating
As a thermal barrier, Rastra has a four-hour fire rating with no flame spread and no smoke development. A five-hour fire endurance test of a ten-inch-thick wall with temperatures exceeding two thousand degrees Fahrenheit on the face of the wall showed that the wall did not conduct heat. This lowers... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Weight (representation theory)
Weights in the representation theory of semisimple Lie algebras
Let g be a complex semisimple Lie algebra and h a Cartan subalgebra of g . In this section, we describe the concepts needed to formulate the "theorem of the highest weight" classifying the finite-dimensional representati... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Rhombic dodecahedron
Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron. | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Transit city
Various impacts of TOD
Economic impacts TOD, specifically along light rail transit lines, have been seen to increase the amount of new businesses in Phoenix within one mile of a station, with businesses in the knowledge, service, and retail industries experiencing 88%, 40%, and 24% more new starts respec... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
In the topology,dist(x,A)=d(x,y) Giving the example of a set A ⊂ X and a point x ∈ X such that dist(x,A)=d(x,y) for :
1) all y ∈ A
2)a single point y ∈ A
3)exactly 3 points y ∈ A
Does anybody who someone to giving the example to over writing instances and draw pictures ?
Thanks a lot
A:
We shall consider ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Q:
Find the limit of the sequence $\{\sqrt{n+1}-\sqrt{n}\}$. As in the title, I need help finding the limit of this sequence. $$\{\sqrt{n+1}-\sqrt{n}\}$$
I tried to multiply by the conjugate, but that just got me to $\dfrac{1}{\sqrt{n+1}+\sqrt{n}}$, and I'm not sure what else I can do. L'Hospital's rule doesn't get t... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Kinetic width
2D case
The endpoints of both of the sets of x-intervals can be maintained in a kinetic sorted list. When points swap, the list of antipodal edge-point pairs are updated appropriately. The upper and lower envelopes can be maintained using the standard data structure for kinetic convex hull. The minimum ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Expander code
Decoding
Lemmas 3 and 4 show us that if we start with s<γ(1−2ε)n (half the distance of C ), then we will always find a vertex vi to flip. Each flip reduces the number of unsatisfied vertices in R by at least 1, and hence the algorithm terminates in at most m steps, and it terminates at some codewor... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
What does $ X \sim (\mu, \Sigma)$ mean? From textbook: We write for a random vector $X$ with mean vector $\mu$ and covariance matrix $\Sigma$,
$$X \sim (\mu, \Sigma).$$
Does that mean (no pun) that $X$ is almost equal to a function of $\mu$ and $\Sigma$? Or is it that $X$ is distributed like the product of the gi... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Simulator sickness
Effect of experience in the real and simulated environments
Research suggests that this is the body's natural way of adjusting to these systems. The bodies of experienced pilots have adapted to different types of motion experienced during actual flight conditions. When placed into a flight simulato... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Nuclear weapons delivery
Main delivery mechanisms
Cruise missile A cruise missile is a jet engine or rocket-propelled missile that flies at low altitude using an automated guidance system (usually inertial navigation, sometimes supplemented by either GPS or mid-course updates from friendly forces) to make them harder... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Dyskinetic cerebral palsy
Prevalence
Dyskinetic cerebral palsy is the second most common subtype of cerebral palsy, after spastic CP. A European Cerebral Palsy study reported a rate of 14,4% of patients with DCP which is similar to the rate of 15% reported in Sweden. The rate appeared lower in Australia, where data f... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Disc brake
Common problems
Brake fade Brake fade is a phenomenon that decreases braking efficiency. It causes the braking power to reduce and you feel that the brakes are not being applied with the force they were being applied at the time of starting. This occurs due to the heating of brake pads. The heated brake pa... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Laser surgery
Applications
Other surgery The CO2 laser is also used in gynecology, genitourinary, general surgery, otorhinolaryngology, orthopedic, and neurosurgery.
Hard tissues Lasers are used to cut or ablate bones and teeth in dentistry. | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Lasso
History
Lassos are not only part of North American culture; relief carvings at the ancient Egyptian temple of Pharaoh Seti I at Abydos, built c.1280 BC, show the pharaoh holding a lasso, then holding onto a bull roped around the horns. Huns are recorded as using lassos in battle to ensnare opponents prepared to... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Villarceau circles
Existence and equations
A treatment along these lines can be found in Coxeter (1969).
A more abstract — and more flexible — approach was described by Hirsch (2002), using algebraic geometry in a projective setting. In the homogeneous quartic equation for the torus, 0=(x2+y2+z2+R2w2−r2w2)2−4R2w2(x2+... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Claiming race
Claiming race
Claiming races serve several purposes. They are a quality classification, as well as a way of ensuring racing outcomes are less predictable, which in turn increases the handle, or amount of parimutuel betting, and a way to bring liquidity to the racehorse marketplace. Although many horses ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Photon gas
Thermodynamics of a black body photon gas
In a classical ideal gas with massive particles, the energy of the particles is distributed according to a Maxwell–Boltzmann distribution. This distribution is established as the particles collide with each other, exchanging energy (and momentum) in the process. In... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
What are the odds that every team that lost the prior week would be facing a team that won the prior week? I apologize in advance for a potentially elementary question but I cannot figure out how to even begin with this.
We have 10 teams
Half lost the first week, the other half won
Second week, we all face a diff... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Clock face
Stylistic development
It is customary for modern advertisements to display clocks and watches set to approximately 10:10 or 1:50, as this V-shaped arrangement roughly makes a smile, imitates a human figure with raised arms, and leaves the watch company's logo unobscured by the hands.In the 1970s, German d... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Quasi-regular elements which are not in the Jacobson radical Suppose $R$ is a commutative ring. An element $x \in R$ is called quasi-regular if $1-x$ is a unit. Are there examples of $R$ and $x$ such that $x$ is quasi-regular, but $yx$ is not, for some $y \in R$? In other words, examples of quasi-regular $x$ which ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Advertorial
Television
Advertorials on television are longer than typical television advertisements. They are usually played on cable and satellite channels, which are less expensive than broadcast television. They may include a plot or story line to increase the entertainment value for viewers, and thus hold their a... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Banach bundle
Examples of Banach bundles
Similarly, the cotangent bundle T*M, whose fibre over a point x ∈ M is the topological dual space to the tangent space at x: π−1(x)=Tx∗M=(TxM)∗; also forms a Banach bundle with respect to the usual projection onto M.There is a connection between Bochner spaces and Banach bundl... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Which functions are $C^k$, but not $C^{k+1}$ on $ \mathbb{R} $ The only functions I can think of that fulfill this property are the polynomials of degree k.
However this does not necessarily imply, that this are the only functions that are in such a space. So I am curious, if there exist some further characteriza... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Q:
Pythagorean Theorem Proof Without Words 6 Your punishment for awarding me a "Nice Question" badge for my last question is that I'm going to post another one from Proofs without Words.
How does the attached figure prove the Pythagorean theorem?
P.S. No, I will not go through the entire book page-by-page asking fo... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Polyglot persistence
Description
Some of such data storage technologies, but not limited to, could be Relational NoSQL Graph In-memoryMartin Fowler writes in one of his articles, "One of the interesting consequences of this is that we are gearing up for a shift to polyglot persistence where any decent sized enterpris... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Signalling (economics)
Job-market signalling
A higher ability / productivity person: h A lower ability / productivity person : lThe premise for the model is that a person of high ability (h) has a lower cost for obtaining a given level of education than does a person of lower ability (l). Cost can be in terms of mone... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
In triangle $ABC$ prove that $AB = 2BC$ In solving this proof I am not permitted to use any numerically related given (i.e. the sum of all angles in a triangle is $180^\circ$ or in a right triangle $a^2 + b^2= c^2$.
Given $\triangle ABC$ is a right triangle with angle $C = 90^\circ$,
Prove that angle $B$ is $2$ t... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
TisB-IstR toxin-antitoxin system
IstR-1 and IstR-2
IstR sRNA (inhibitor of SOS-induced toxicity by RNA) is a family of non-coding RNA first identified in Escherichia coli. There are two small RNAs encoded by the IstR locus: IstR-1 and IstR-2, of which IstR-1 works as antitoxins against the toxic protein TisB (toxicit... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Transaldolase deficiency
Diagnosis
There are two different techniques for the diagnosis of Transaldolase deficiency.
Metabolite Analyses Autozygome analysis and biochemical evaluations of urinary sugars and polyols can be used to diagnose Transaldolase Deficiency. Two specific methods for measuring the urinary sugars... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
What is the mathematical notation for a group of pairwise disjoint sets? Assume I have 4 sets: $A$, $B$, $C$, and $D$.
What is the mathematical notation to indicate that all of these sets are pairwise disjoint?
I can obviously type:
$$A \cap B = \emptyset$$
$$A \cap C = \emptyset$$
etc.
But I am looking for a ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
CDRWIN
CDRWIN
CDRWIN was a CD/DVD burning software for Microsoft Windows developed by Golden Hawk Technology company.
It progressed from lone wolf Jeff Arnold's hobby to a full-blown recording software that equals the power, performance, and features of many of the programs from the big boys.
Once popular, CDRWIN's u... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Computer technology for developing areas
Opportunity
Focusing on Africa Exploring the introduction of computer technology in Africa Africa presents a unique cultural climate for the introduction of computer technology not only because of its diverse population, varied geography and multifaceted issues but also becaus... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
FreeTrack
Point model
Reflective points Retroreflective material can be used to represent the tracking points by illumination with an infrared light source. This configuration doesn’t require wires or batteries connected to the user but is more susceptible to interference by background light. In most cases a webcam’s... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Pilot hole
Pilot for large holes
The pilot hole also reduces the power needed to turn a large drill bit, and reduces the large bit breakage risk. For twist drill bits, the pilot size is usually selected so that the chisel point of the larger drill does not need to remove any material, which reduces the chance of spli... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Remove unnecessary styles, line breaks, etc.
Remove unnecessary id, class, and attributes.
Remove font tags.
Remove styles in the <head> tag.
Ensure the <th> tags have a scope attribute.
Remove <p> tags nested inside <th> and <td> tags.
Check for accessibility (see Technique 11). | https://huggingface.co/datasets/izumi-lab/open-text-books |
Q:
How many functions $f : \{0,1,2,3\}^n \to \{1,2,3\}$ are there, that take the value $1$ exactly once? How many functions $f : \{0,1,2,3\}^n \to \{1,2,3\}$ are there, that take the value $1$ exactly once?
I know the answer to this question is $4^n \cdot 2^{4^n-1}$ but I don´t understand at all how to arrive at thi... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
cntg care_for just acc art every just thing of art mission
‘He took care of everything of the mission.’ [R539-1.067]
After tētahi ‘some/others’, and occasionally after meꞌe rahi ‘many’ and rauhuru ‘di- verse’, the directional particle atu is used. After verbs this particle indicates a movement away from the speaker (§)... | https://huggingface.co/datasets/izumi-lab/open-text-books |
Structurable algebra
Structurable algebra
Structurable algebras were introduced by Allison in 1978. The Kantor–Koecher–Tits construction produces a Lie algebra from any Jordan algebra, and this construction can be generalized so that a Lie algebra can be produced from an structurable algebra. Moreover, Allison proved... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Cardiovascular disease
Risk factors
Diet High dietary intakes of saturated fat, trans-fats and salt, and low intake of fruits, vegetables and fish are linked to cardiovascular risk, although whether all these associations indicate causes is disputed. The World Health Organization attributes approximately 1.7 million ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Dream guide
Dream guide
Generally, the stage of capacity of a dream guide to put in such an appearance so as to inform the unwitting dreamer of the fact that this is a dream; must be preceded by the stage (achieved in some previous nights) of the witting dreamer informing (in a manner acceptable, or course, to themse... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
PC game
PC game
Mainframe and minicomputer games are a precursor to personal computer games. Home computer games became popular following the video game crash of 1983, leading to the era of the "bedroom coder". In the 1990s, PC games lost mass market traction to console games on the fifth generation such as the Sega ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Dust collector
Wet scrubbers
Multiple-cyclone separators remove more dust than single cyclone separators because the individual cyclones have a greater length and smaller diameter. The longer length provides longer residence time while the smaller diameter creates greater centrifugal force. These two factors result i... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Arytenoid adduction
Arytenoid adduction
Arytenoid adduction is a surgical procedure used to treat vocal cord paralysis. A suture is used to emulate the action of the lateral cricoarytenoid muscle and position the paralyzed vocal cord closer to the midline. This allows the two vocal cords to meet and can improve speak... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Finding Range of a linear mapping In the following textbook example I understand how they get Null(L) but not how they get Range(L) which they say is clear to see. Can anyone elucidate the method of finding the Range of a linear mapping? Thank you!
A:
The range of $L, R(L)\subseteq\Bbb P_3$. Every element in $R(L... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Tire code
Historical tire codes
North America Prior to 1964, tires were all made to a 90% aspect ratio. Tire size was specified as the tire width in inches and the diameter in inches – for example, 6.50-15.From 1965 to the early 1970s, tires were made to an 80% aspect ratio. Tire size was again specified by width in ... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Laugh track
Hogan's Heroes
Network research suggested that the laugh track was mandatory in order to brand a single-camera show as a comedy. The experiment to see if a comedy fared better with a laugh track was tested in 1965 when CBS showed its new single-camera sitcom Hogan's Heroes to test audiences in two version... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Shopper marketing
Description
Manufacturers are able to develop strategic plans using high-quality shopper marketing data, allowing for a clear understanding of consumer preferences and behaviours. According to industry studies prior to 2010, manufacturer investment in shopper marketing is growing more than 21% annua... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Microfilament
A proposed model – actoclampins track filament ends
One proposed model suggests the existence of actin filament barbed-end-tracking molecular motors termed "actoclampin". The proposed actoclampins generate the propulsive forces needed for actin-based motility of lamellipodia, filopodia, invadipodia, den... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
THEOS
Features
A number of security features exist, including dynamic passwords (where the password includes part of the date or time, or client IP address, or other dynamic elements), allow/deny security, a comprehensive inbound and outbound firewall, and an option to require a certain level of encryption in the wor... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Facepalm
Origins
The earliest known evidence of this word is found in records of a Usenet post now archived at Google Groups (bit.listserv.superguy) from May 15, 1996: "Christie facepalmed. 'Well, her hair was red this morning, right? It's blonde now. You figure it out.'" It appears again less than a week later, in a... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Medical physics
Mission statement of medical physicists
Occupational and public safety/risk management (when there is an impact on medical exposure or own safety). Surveillance of medical devices and evaluation of clinical protocols with respect to protection of workers and public when impacting the exposure of patie... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Macrohistory
Macrohistorical publications
Creasy, Edward Shepherd (1851). The Fifteen Decisive Battles of the World.
Spengler, Oswald (1918). The Decline of the West.
Quigley, Carroll (1961). The Evolution of Civilizations.
McNeill, William H. (1976). Plagues and People.
Roberts, J. M. (1978). History of the World. (... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Surface lure
Types
Propeller baits Propeller baits or ploppers are floating lures that have one or more small propellers made of metal or hard plastic, which spins passively with flow and splashes water to attract fish. Some models have a single propeller on the back, while others may have propellors on the front and... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Aging brain
Delaying the effects of aging
Cerebrospinal fluid A study showed that infusing the nourishing cerebrospinal fluid from around brain cells of young mice into aged brains rejuvenates aspects of the brain, proving that it play a role in brain aging and inter alia identifying a protein FGF17 as a key target f... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Decreasing and Increasing function If $f(x)=\dfrac{x}{\sin x}$ and $g(x)=\dfrac{x}{\tan x}$ where $x\in (0,1]$, in this range whether f(x) and g(x) is increasing or decreasing.
I did this question up to this step
$$f'(x)=\frac{\sin x-x\cos x}{(\sin x)^2}$$
$$g'(x)=\frac{\tan x-x(\sec x)^2}{(\tan x)^2}$$
After thi... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Oculus Quest
Specifications
The Oculus Quest uses a Qualcomm Snapdragon 835 system-on-chip (SoC) with 4 GB of RAM. Three of the four 2.3 GHz CPU cores of the chip are reserved for software, while the remaining core and its four lower-power cores are reserved for motion tracking and other background functions. It runs... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Bentonite
Bentonite
Bentonite () is an absorbent swelling clay consisting mostly of montmorillonite (a type of smectite) which can either be Na-montmorillonite or Ca-montmorillonite. Na-montmorillonite has a considerably greater swelling capacity than Ca-montmorillonite. | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
General control problem with nonlinear performance index with integral and a scrap value I have an optimal control problem with a following general form for the performance index
$J = \phi_{1}[x(t_f)] + \sqrt {\phi_{2}[x(t_f)] + \int_{t_0}^{t_f}L[x(t)] dt},$
subject to
$\dot{x}(t)=g(x(t),u(t))$, $x(t_0)=x_0$ (... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Gaussian free field
Gaussian free field
Similarly to Brownian motion, which is the scaling limit of a wide range of discrete random walk models (see Donsker's theorem), the continuum GFF is the scaling limit of not only the discrete GFF on lattices, but of many random height function models, such as the height functi... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Quick Hypberbolic Geometry question concerning Saccheri Quadrilaterals Can a Saccheri Quadrilateral have 3 congruent sides? I know the summit is less then the base, but could it happen that the base is the same length as the two vertical sides?
A:
Yes, a Saccheri Quadrilateral with three congruent and one larger ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Single-ended triode
Speaker matching
Historically, negative feedback in single ended pentode amplifiers was quite common (for example, the Mullard 3-3 design built around EL84). Today negative feedback is less popular with SET amplifiers, with many having no overall feedback loop. Their frequency response, limited by... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Triangle and Gaussian Distributions Let $X_1,...,X_6$ be six independent standard Gaussian distributions $\mathcal{N}(0, 1)$. Consider a triangle on the plane with vertices $A_1 = (X_1, X_2), A_2 = (X_3, X_4), A_3 = (X_5, X_6)$. How can I prove that the length of the side $A_2A_3$ is independent from the length of ... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Climate of Mars
Evidence for recent climatic change
It has been argued that "observed regional changes in south polar ice cover are almost certainly due to a regional climate transition, not a global phenomenon, and are demonstrably unrelated to external forcing." Writing in a Nature news story, Chief News and Featur... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
Q:
Flip a fair coin until three consecutive heads or tails appear What is the expected number of flips until three consecutive heads or tails appear?
A:
This can be seen as an MC with 4 states. Denote for convenience $S=\{HHH, TTT\}$
One thing to notice first, is that only before you have tossed any coins at all y... | https://huggingface.co/datasets/flax-sentence-embeddings/stackexchange_math_jsonl |
Specific properties
Usage
Reference tables Specific properties are often used in reference tables as a means of recording material data in a manner that is independent of size or mass. This allows the data to be broadly applied while keeping the table compact.Ranking, classifying, and comparing Specific properties ar... | https://huggingface.co/datasets/milkshake721/2.1M-wiki-STEM |
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