Pustam Raut🇳🇵(पुस्तम राउत) · @pustam_egr
64 followers · 180 posts · Server mathstodon.xyzSome useful inequalities:
1. Cauchy–Schwarz inequality
\[\displaystyle\sum_{k=1}^na_kb_k\leq\sqrt{\sum_{k=1}^na_k^2}\sqrt{\sum_{k=1}^nb_k^2\]
2. Hölder's inequality
\[\displaystyle\sum_{k=1}^n\left|a_kb_k\right|\leq\left(\sum_{k=1}^n|a_k|^p\right)^{1/p}\left(\sum_{k=1}^n|b_k|^q\right)^{1/q}\]
3. Minkowski's inequality
\[\displaystyle\left(\sum_{k=1}^n\left|a_k+b_k\right|^p\right)^{1/p}\leq\left(\sum_{k=1}^n|a_k|^p\right)^{1/p}+\left(\sum_{k=1}^n|b_k|^p\right)^{1/p}\]
4. Hardy's inequality
\[\displaystyle\sum_{k=1}^\infty\left(\dfrac{a_1+a_2+\cdots+a_k}{k}\right)^p\leq\left(\dfrac{p}{p-1}\right)^p\sum_{k=1}^\infty a_k^p\]
#Inequality #Cauchy #Schwarz #Hölder #Minkowski #Hardy #Maths #Mathstodon #Mastodon #Mathematics
#mathematics #mastodon #mathstodon #maths #hardy #minkowski #holder #Schwarz #cauchy #inequality
Spaceflight 🚀 · @spaceflight
1243 followers · 880 posts · Server techhub.social
#Starlink 🛰️ uses #HallEffectThrusters, which is a kind of #SpacecraftElectricPropulsion https://en.wikipedia.org/wiki/Spacecraft_electric_propulsion. 70% of the recent poll have just been plain wrong 🔮 about the type of #propulsion : https://en.wikipedia.org/wiki/Ion_thruster#Starlink
#HallEffectThruster (#IonThruster engines) use an #electrostatic potential to accelerate #ions up to high speeds https://en.wikipedia.org/wiki/Hall-effect_thruster#Principle_of_operation
#Electromagnetic thrusters (#PlasmaPropulsion engines) accelerate #ions either by the #Lorentz force or by the effect of electromagnetic fields where the electric field is not in the direction of the acceleration https://en.wikipedia.org/wiki/Plasma_propulsion_engine#Engine_types
It's all explained by #GalileoGalilei 📆 1564, #MichaelFaraday 📆 1791, #HendrikLorentz 📆 1853, #AlbertEinstein 📆 1879.Also check #Minkowski's 📆 1864 #spacetime 🤔 https://en.wikipedia.org/wiki/Minkowski_spacetime. Short after the #StoneAge 🐒 , #carburetors were usual, fueled by fossilized remains of dead plants 😁 https://en.wikipedia.org/wiki/Carburetor
#starlink #halleffectthrusters #spacecraftelectricpropulsion #propulsion #halleffectthruster #ionthruster #electrostatic #ions #electromagnetic #plasmapropulsion #lorentz #galileogalilei #michaelfaraday #hendriklorentz #alberteinstein #minkowski #spacetime #stoneage #carburetors
Spaceflight 🚀 · @spaceflight
1243 followers · 879 posts · Server techhub.social#Starlink 🛰️ uses #HallEffectThrusters, which is a kind of #SpacecraftElectricPropulsion https://en.wikipedia.org/wiki/Spacecraft_electric_propulsion. 70% of the recent poll have just been plain wrong 🔮 about the type of #propulsion : https://en.wikipedia.org/wiki/Ion_thruster#Starlink
#HallEffectThruster (#IonThruster engines) use an #electrostatic potential to accelerate #ions up to high speeds https://en.wikipedia.org/wiki/Hall-effect_thruster#Principle_of_operation
#Electromagnetic thrusters (#PlasmaPropulsion engines) accelerate #ions either by the #Lorentz force or by the effect of electromagnetic fields where the electric field is not in the direction of the acceleration https://en.wikipedia.org/wiki/Plasma_propulsion_engine#Engine_types
It's all explained by #GalileoGalilei 📆 1564, #MichaelFaraday 📆1791, #HendrikLorentz 📆 1853, #AlbertEinstein 📆 1879.Also check #Minkowski's 📆 1864 #spacetime 🤔 https://en.wikipedia.org/wiki/Minkowski_spacetime. Short after the #StoneAge 🐒 , #carburetors were usual, fueled by fossilized remains of dead plants 😁 https://en.wikipedia.org/wiki/Carburetor
#starlink #halleffectthrusters #spacecraftelectricpropulsion #propulsion #halleffectthruster #ionthruster #electrostatic #ions #electromagnetic #plasmapropulsion #lorentz #galileogalilei #michaelfaraday #hendriklorentz #alberteinstein #minkowski #spacetime #stoneage #carburetors
Jim Donegan ✅ · @jimdonegan
1453 followers · 4247 posts · Server mastodon.scot#DonLincoln, #Fermilab - Is #Gravity A Force?
https://www.youtube.com/watch?v=ZHxoM9lvzVA&ab_channel=Fermilab
#Philosophy #PhilosophyOfScience #Physics #Newton #Einstein #Minkowski #GR #GeneralRelativity #QuantumGravity #EntropicGravity
#entropicgravity #quantumgravity #generalrelativity #gr #minkowski #einstein #newton #physics #philosophyofscience #philosophy #gravity #fermilab #DonLincoln
Pustam Raut🇳🇵(पुस्तम राउत) · @pustam_egr
43 followers · 130 posts · Server mathstodon.xyz
"Riemann’s Seminal Lecture on Non-Euclidean Geometry" by Areeba Merriam 👉 🔗 https://www.cantorsparadise.com/reimanns-seminal-lecture-on-non-euclidean-geometry-11673a8d6fbb
#Riemann #SeminalLecture #NonEuclideanGeometry #EuclideanGeometry #Gravity #DifferentialGeometry #Relativity #GeneralRelativity #SpecialRelativity #RiemannianGeometry #Tensor #Minkowski #HermannMinkowski #Spacetime #Space #Time #Curvature #Klein #Jacobi #Dirichlet #Gauss #Hypersurface #EllipticGeometry #Geometry #Physics #Topology #Hyperspace #Einstein #AlbertEinstein #Isaacson #MichioKaku #Kaku
#Kaku #michiokaku #isaacson #alberteinstein #einstein #hyperspace #topology #physics #geometry #ellipticgeometry #hypersurface #gauss #dirichlet #jacobi #klein #curvature #time #space #spacetime #hermannminkowski #minkowski #tensor #riemanniangeometry #specialrelativity #generalrelativity #relativity #differentialgeometry #gravity #EuclideanGeometry #NoneuclideanGeometry #seminallecture #riemann
Pustam Raut🇳🇵(पुस्तम राउत) · @pustam_egr
35 followers · 115 posts · Server mathstodon.xyz"Who Pioneers the Concept of 4-Dimensional Spacetime" by Areeba Merriam 🔗 https://www.cantorsparadise.com/who-pioneers-the-concept-of-4-dimensional-spacetime-ae705369c1b0
#Spacetime #Time #Space #FourDimensionalSpacetime #RelativisticMechanics #NewtonianMechanics #EuclideanGeometry #HyperbolicGeometry #AlbertEinstein #Einstein #DavidHilbert #Hilbert #Lobachevsky #Riemann #Bolyai #HermannMinkowski #Minkowski #Poincaré #Framework #Relativity #GeneralRelativity #SpecialRelativity #Geometry #Mathematics #RelativisticPhysics
#relativisticphysics #mathematics #geometry #specialrelativity #generalrelativity #relativity #framework #poincare #minkowski #hermannminkowski #bolyai #riemann #lobachevsky #hilbert #DavidHilbert #einstein #alberteinstein #HyperbolicGeometry #EuclideanGeometry #newtonianmechanics #relativisticmechanics #fourdimensionalspacetime #space #time #spacetime
Jim Donegan ✅ · @jimdonegan
1321 followers · 3190 posts · Server mastodon.scot
#SabineHossenfelder - Can #Time #Really #Slow Down?
https://www.youtube.com/watch?v=ZdrZf4lQTSg&ab_channel=SabineHossenfelder
#Science #Physics #GR #GeneralRelativity #SR #SpecialRelativity #Light #SpeedOfLight #Space #SpaceTime #ProperTime #TimeDilation #TwinParadox #TheTwinParadox #NewtonsBucket #BucketParadox #BlackHole #BlackHoles #Gravity #GravityWell #GravityWells #Minkowski #Lorentz #Einstein
#einstein #Lorentz #minkowski #bucketparadox #gravitywells #gravitywell #gravity #blackholes #blackhole #newtonsbucket #thetwinparadox #twinparadox #TimeDilation #propertime #spacetime #space #speedoflight #light #specialrelativity #sr #generalrelativity #gr #physics #science #slow #really #time #sabinehossenfelder
paurea · @paurea
9 followers · 10 posts · Server mathstodon.xyzAnyone can give me references to study seminorms with unit balls which are convex sets? In particular, the relationship with seminorms with unit balls which are Minkowski sums of said convex sets and their symmetries. What properties can be derived from the original seminorms and so on... Books, papers, anything?
#math #norm #seminorm #minkowski #FunctionalAnalysis
#FunctionalAnalysis #minkowski #seminorm #norm #math