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id stringlengths 40 40	title stringlengths 15 120	text stringlengths 41 3.14k	source stringclasses 2 values
933fe0b2e6b748af2471a6c58e58b3a469d0605d	tatsuya morita (守田達弥, morita tatsuya, born august	tatsuya morita (守田達弥, morita tatsuya, born august 3, 1990 in wakaba-ku, chiba) is a japanese footballer who plays as a goalkeeper for j1 league club kashiwa reysol.	wikipedia
797b458eddf60be110154116748488fd62976f73	břetislav staš was a czech seismologist and geophysicist.	břetislav staš was a czech seismologist and geophysicist. he is the father of czech actress simona stašová and the first husband of czech actress jiřina bohdalová.	wikipedia
6fbc25d913ff1679da70a13d280ba881d3624745	within the framework of the vvÚs activities, more	within the framework of the vvÚs activities, more than 120 coal blocks (in all czech and slovak coal basins) were measured by the tsw method and sample measurements were carried out in the coal mines of poland, hungary, georgia, china and australia. tsw-method has been awarded with a patent of the czechoslovak socialis...	wikipedia
c9003c6e1c8bd0defb1d3a2be16a12c24f1df5a0	between 1965 and 1996, he cooperated with vvuu	between 1965 and 1996, he cooperated with vvuu (research coal institute), where he transferred his knowledge of surface seismic into the mining environment. his task was to carry out the necessary technical and safety measures and verify that the interest coal block could be utilized and that it was not tectonically di...	wikipedia
74378dfe5b2ee78501cedbf016dc6e80f5e076b4	in 1965, all surface geophysical measurements in the	in 1965, all surface geophysical measurements in the czechoslovak socialist republic (cssr) were again decided by the fmpe to be centralized into the national company geofyzika - brno, the seismic group of gpo ostrava. in the same year, after a successful refinement of the structural and tectonic state of the rock stat...	wikipedia
4aadc5f89d076f4ef641b5a852314e4003a3439a	on the basis of an instruction from federal	on the basis of an instruction from federal ministry of fuel and energy in 1959, together with the entire seismic group, he was transferred to the gpo ostrava (geological survey of ostrava) as a state delimitation, where it continued to carry out seismic measurements in the interest areas of okr. he identified and docu...	wikipedia
fe668b830020fba0e39ddaefca21833b5ca1a763	from 1953 to 1959 he worked at institute	from 1953 to 1959 he worked at institute of studying coal deposits, where he established a group for surface seismic measurements in order to refine the deposit and tectonic conditions of the coal deposit of ostravsko karviná mining area. he was responsible for the scientific-methodical, operational-technical and espec...	wikipedia
db9ce758bff6ffd226e4d81699ff49c31f5c3ac7	in 1951 he graduated from the higher school	in 1951 he graduated from the higher school of special education of the czech technical university in prague and received the master's degree. after university he was required to have a compulsory two-year military service, where he joined the vehicle company dobřany near pilsen as a military driver. he gained experien...	wikipedia
64a753ab0763566461ed8e5d7958e442e950e6a4	břetislav staš (1 july 1928 – 8 december	břetislav staš (1 july 1928 – 8 december 2021) was a czech seismologist and geophysicist. he is the father of czech actress simona stašová and the first husband of czech actress jiřina bohdalová.	wikipedia
6788b874c2a0c4d567f15ee79cbcc2921f316d7d	in geometry, a spherical cap or spherical dome	in geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. it is also a spherical segment of one base, i.e., bounded by a single plane. if the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical ca...	wikipedia
cb87fe77917e56794cdaa6d2b226e9875fc76390	a more quantitative bound is a / a	a more quantitative bound is a / a n = n Θ (1) ⋅ n / 2 {\displaystyle a/a_{n}=n^{\theta (1)}\cdot ^{n/2}}.for large caps (that is when (1 − h / r) 4 ⋅ n = o (1) {\displaystyle (1-h/r)^{4}\cdot n=o(1)} as n → ∞ {\displaystyle n\to \infty }), the bound simplifies to n Θ (1) ⋅ e − (1 − h / r) 2 n / 2 {\displaystyle n^{\th...	wikipedia
78c6d211778b0b744f35b121cf164d8342d5c738	if n → ∞ {\displaystyle n\to \infty }	if n → ∞ {\displaystyle n\to \infty } and q n = const. {\displaystyle q{\sqrt {n}}={\text{const.}}}, then p n (q) → 1 − f (q n) {\displaystyle p_{n}(q)\to 1-f({q{\sqrt {n}}})} where f () {\displaystyle f()} is the integral of the standard normal distribution.	wikipedia
d534737e505a712a1c22beb92284034bbf1f554b	for odd n = 2 k + 1	for odd n = 2 k + 1 {\displaystyle n=2k+1}: g n (q) = ∑ i = 0 k (− 1) i (k i) q 2 i + 1 2 i + 1. {\displaystyle g_{n}(q)=\sum _{i=0}^{k}(-1)^{i}{\binom {k}{i}}{\frac {q^{2i+1}}{2i+1}}.}	wikipedia
79769c7dd62a922c69c20ee2aef36cdc29c2dc11	a. chudnov derived the following formulas: a =	a. chudnov derived the following formulas: a = a n p n − 2 (q), v = c n p n (q), {\displaystyle a=a_{n}p_{n-2}(q),v=c_{n}p_{n}(q),} where q = 1 − h / r (0 ≤ q ≤ 1), p n (q) = (1 − g n (q) / g n (1)) / 2, {\displaystyle q=1-h/r(0\leq q\leq 1),p_{n}(q)=(1-g_{n}(q)/g_{n}(1))/2,} g n (q) = ∫ 0 q (1 − t 2) (n − 1) / 2 d t. ...	wikipedia
f51cccba8a6d0cc2209f161b3beaafb34ad0dd65	and the area formula a {\displaystyle a} can	and the area formula a {\displaystyle a} can be expressed in terms of the area of the unit n-ball a n = 2 π n / 2 / Γ {\textstyle a_{n}={2\pi ^{n/2}/\gamma }} as a = 1 2 a n r n − 1 i (2 r h − h 2) / r 2 (n − 1 2, 1 2), {\displaystyle a={\frac {1}{2}}a_{n}\,r^{n-1}i_{(2rh-h^{2})/r^{2}}\left({\frac {n-1}{2}},{\frac {1}{...	wikipedia
892313754cd994ab91a933857fed4df81b8c1457	the formula for v {\displaystyle v} can be	the formula for v {\displaystyle v} can be expressed in terms of the volume of the unit n-ball c n = π n / 2 / Γ {\textstyle c_{n}=\pi ^{n/2}/\gamma } and the hypergeometric function 2 f 1 {\displaystyle {}_{2}f_{1}} or the regularized incomplete beta function i x (a, b) {\displaystyle i_{x}(a,b)} as v = c n r n (1 2 −...	wikipedia
8284a227e74c638186bc0a3a7c334c511e6e23a5	generally, the n {\displaystyle n} -dimensional volume of	generally, the n {\displaystyle n} -dimensional volume of a hyperspherical cap of height h {\displaystyle h} and radius r {\displaystyle r} in n {\displaystyle n} -dimensional euclidean space is given by: v = π n − 1 2 r n Γ (n + 1 2) ∫ 0 arccos (r − h r) sin n (θ) d θ {\displaystyle v={\frac {\pi ^{\frac {n-1}{2}}\,r^...	wikipedia
8dac219ca9fc623c83888d5e7d693648c99b0204	for example, assuming the earth is a sphere	for example, assuming the earth is a sphere of radius 6371 km, the surface area of the arctic (north of the arctic circle, at latitude 66.56° as of august 2016) is 2 π ⋅ 6371 \| sin 90° − sin 66.56° \| = 21.04 million km (8.12 million sq mi), or 0.5 ⋅ \| sin 90° − sin 66.56° \| = 4.125% of the total surface area of the ear...	wikipedia
3f3ae85d62b47fbb1aeba7c0faaacaba93e15f9c	the curved surface area of the spherical segment	the curved surface area of the spherical segment bounded by two parallel disks is the difference of surface areas of their respective spherical caps. for a sphere of radius r {\displaystyle r}, and caps with heights h 1 {\displaystyle h_{1}} and h 2 {\displaystyle h_{2}}, the area is	wikipedia
2725e7539b0c33786cf55668614d167d0364aa7a	this formula is valid only for configurations that	this formula is valid only for configurations that satisfy 0 < d < r 2 {\displaystyle 0<d<r_{2}} and d − (r 2 − r 1) < h ≤ r 1 {\displaystyle d-(r_{2}-r_{1})<h\leq r_{1}}. if sphere 2 is very large such that r 2 ≫ r 1 {\displaystyle r_{2}\gg r_{1}}, hence d ≫ h {\displaystyle d\gg h} and r 2 ≈ d {\displaystyle r_{2}\ap...	wikipedia
d100c4d6c83964f2b493fa28b836499b5051875d	v = π h 2 3 (3 r	v = π h 2 3 (3 r 1 − h) − π 2 3, v = π h 2 3 (3 r 1 − h) − π 3 (d − h) 3 (r 2 − r 1 d − h − 1) 2. {\displaystyle {\begin{aligned}v&={\frac {\pi h^{2}}{3}}(3r_{1}-h)-{\frac {\pi ^{2}}{3}}\,,\\v&={\frac {\pi h^{2}}{3}}(3r_{1}-h)-{\frac {\pi }{3}}(d-h)^{3}\left({\frac {r_{2}-r_{1}}{d-h}}-1\right)^{2}\left\,.\end{aligned}}...	wikipedia
2ce0766b88c865e7f5d44a8c88b8bb4cc74e8920	the volume of a spherical cap with a	the volume of a spherical cap with a curved base can be calculated by considering two spheres with radii r 1 {\displaystyle r_{1}} and r 2 {\displaystyle r_{2}}, separated by some distance d {\displaystyle d}, and for which their surfaces intersect at x = h {\displaystyle x=h}. that is, the curvature of the base comes ...	wikipedia
e3882810f8de8cf732c935f518c7518d4ce09c81	the sum of the volumes of the two	the sum of the volumes of the two spherical caps forming their intersection. if d ≤ r 1 + r 2 {\displaystyle d\leq r_{1}+r_{2}} is thedistance between the two sphere centers, elimination of the variables h 1 {\displaystyle h_{1}} and h 2 {\displaystyle h_{2}} leadsto	wikipedia
823c3e56e539d5a592d5841819df9090f53d1bd1	the intuitive argument is based upon summing the	the intuitive argument is based upon summing the total sector volume from that of infinitesimal triangular pyramids. utilizing the pyramid (or cone) volume formula of v = 1 3 b h ′ {\displaystyle v={\frac {1}{3}}bh'}, where b {\displaystyle b} is the infinitesimal area of each pyramidal base (located on the surface of ...	wikipedia
7940855662775b80865e9ab48798ab28efbe55a6	if ϕ {\displaystyle \phi } denotes the latitude	if ϕ {\displaystyle \phi } denotes the latitude in geographic coordinates, then θ + ϕ = π / 2 = 90 ∘ {\displaystyle \theta +\phi =\pi /2=90^{\circ }\,}, and cos θ = sin ϕ {\displaystyle \cos \theta =\sin \phi }.	wikipedia
335f8caeabf292325908407a4e7a2c69f45cc075	these variables are inter-related through the formulas a	these variables are inter-related through the formulas a = r sin θ {\displaystyle a=r\sin \theta }, h = r (1 − cos θ) {\displaystyle h=r(1-\cos \theta)}, 2 h r = a 2 + h 2 {\displaystyle 2hr=a^{2}+h^{2}},and 2 h a = (a 2 + h 2) sin θ {\displaystyle 2ha=(a^{2}+h^{2})\sin \theta }.	wikipedia
eb59589aebd8a420e96fd86f4afe7ca69c080c4e	in geometry, a spherical cap or spherical dome	in geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. it is also a spherical segment of one base, i.e., bounded by a single plane. if the plane passes through the center of the sphere (forming a great circle), so that the height of the cap is equal to the radius of the...	wikipedia
bc29bfa3fad50591def3a11865f13dae424ce516	armand "bep" guidolin was a canadian ice hockey	armand "bep" guidolin was a canadian ice hockey player and coach. he is notable for being the youngest player in national hockey league history. he was born in thorold, ontario. he and eleanor, his wife of 62 years, had four children. his family moved to timmins, ontario. guidolin stood 5'8" at 175 lbs, and was a left-...	wikipedia
1269bae7fd153d209e08112c77044b2c5776fcde	guidolin coached the belleville mcfarlands, winning the allan	guidolin coached the belleville mcfarlands, winning the allan cup in 1958, and the world championship in 1959. in 1965 he became the coach of his former junior team the oshawa generals, featuring 17-year-old future hockey hall of fame defenceman bobby orr. he led the generals to the memorial cup final in 1966 versus th...	wikipedia
5a7301e6ef6d568dfd09c73b5a71e7ed0e4946a8	guidolin also played for the detroit red wings	guidolin also played for the detroit red wings and the chicago black hawks. armand was an ardent supporter of the formation of a players' union, which led to the early demise of his nhl career in 1952. he played for nine years in the minors, then retired to a coaching career.	wikipedia
bc6a417e67784b129e1304efb5668d53162a042a	his quick rise to the nhl was a	his quick rise to the nhl was a direct result of world war ii. the boston bruins were in dire need of replacements to fill the roster holes created by so many players leaving for military service. in 1944, his eligibility for military service brought a one-year break from his nhl career.	wikipedia
85f2d6dc8065699ba3e205308c79406000cee6da	guidolin played junior hockey with the oshawa generals	guidolin played junior hockey with the oshawa generals of the oha, playing in the memorial cup in 1942. later that year he became the youngest player (16 years, 11 months) to play in an nhl game, on november 12, 1942.	wikipedia
a7ed3d1cfd22d6c4bee7bec418f72bdea576cec9	guidolin and his family moved to timmins when	guidolin and his family moved to timmins when he was young. it was there that he learned how to skate at the age of 13. his abilities excelled through practicing on local outdoor rinks. when the nhl lost many of its talented players to the second world war, guidolin's talents caught the eyes of pro scouts as being a vi...	wikipedia
b27617dbe0062048bc5d3fa227e1b03ab24487ae	guidolin stood 5'8" at 175 lbs, and was	guidolin stood 5'8" at 175 lbs, and was a left-shooting left winger in the nhl. he later went on to a coaching career. he was nicknamed "bep" because his mother spoke italian and very little english. armand was the baby of the family and his mother pronounced baby as "beppy". the nickname stuck and was shortened to "be...	wikipedia
46e9516de5b86d66ef6d81a32658d2598d2893a1	armand "bep" guidolin (december 9, 1925 – november	armand "bep" guidolin (december 9, 1925 – november 24, 2008) was a canadian ice hockey player and coach. he is notable for being the youngest player in national hockey league history. he was born in thorold, ontario. he and eleanor, his wife of 62 years, had four children. his family moved to timmins, ontario.	wikipedia
9647934c7bfbbc0e69282f180fcccf3e71ab792c	james wesley darden was an american professional basketball	james wesley darden was an american professional basketball player and coach. darden played college basketball at the university of wyoming and university of denver. he was a member of the wyoming cowboys team that won the 1943 ncaa championship, but did not play in the actual tournament because he was serving in world...	wikipedia
f9fab2504fd61eca35bf4051df7add1c1e2b9850	darden became the coach of the basketball and	darden became the coach of the basketball and baseball teams at colorado school of mines in 1954, and coached both sports at the university until he retired in 1992 at the age of seventy. csm's baseball field was renamed darden field in his honour. darden was inducted into the colorado sports hall of fame in 1989.	wikipedia
2c974502f938e4b6820f3103578907de81ccfafa	darden played college basketball at the university of	darden played college basketball at the university of wyoming and university of denver. he was a member of the wyoming cowboys team that won the 1943 ncaa championship, but did not play in the actual tournament because he was serving in world war ii at the time. after his discharge in 1946, darden joined the denver nug...	wikipedia
785a92b0079430fded2db2e53bacf2095eca9c72	maxwell herman alexander newman, frs, generally known as	maxwell herman alexander newman, frs, generally known as max newman, was a british mathematician and codebreaker. his work in world war ii led to the construction of colossus, the world's first operational, programmable electronic computer, and he established the royal society computing machine laboratory at the univer...	wikipedia
11f910857efcec614369f276d8579ed245bf99ec	in 1946, newman declined the offer of an	in 1946, newman declined the offer of an obe as he considered the offer derisory. alan turing had been appointed an obe six months earlier and newman felt that it was inadequate recognition of turing's contribution to winning the war, referring to it as the "ludicrous treatment of turing".	wikipedia