MATH ZONE
MATH ZONE
  • Видео 125
  • Просмотров 363 451
Open Sphere | Open sphere on a real line R is an open interval but converse may not be true
00:15 What is Open sphere?
04:11 Show that open sphere on a real line R is an open interval but
07:56 an open interval may not be an open sphere.
09:04 Show that an open sphere of radius less than or equal to one in a discrete metric space contains only its center.
12:24 Show that an open sphere of radius greater than one in a discrete metric space is the full space.
What is Open ball?
Show that an open ball of radius less than or equal to one in a discrete metric space contains only its center.
Show that an open ball of radius greater than one in a discrete metric space is the full space.
Просмотров: 370

Видео

Minkoski's Inequality
Просмотров 93Год назад
Proof of Minkoski's Inequality. Proof of Minkoskis Inequality.
Cauchy Schwarz Inequality
Просмотров 322Год назад
Proof of Cauchy Schwarz Inequality. Proof of Cauchy-Schwarz Inequality.
What is Metric Space? | Geometrical Interpretation | Examples of Metric Space
Просмотров 166Год назад
00:08 Define Metric Space 05:24 Geometrical Interpretation of metric space Examples of Metric Space 09:14 Example 1 13:29 Example 2 19:24 Assignment Geometrical meaning of metric space Show that |x-y| is a metric space. Euclidean Metric Space
Regular Space | Every Subspace of a Regular Space is Regular | Regular Space is not Hausdorff Space
Просмотров 1,6 тыс.Год назад
00:18 What is Regular Space? 01:32 Give an example to show that a regular space need not be a Husdorff space. 05:15 Show that every subspace of a regular space is regular. Define Regular Space. Regular space need not be a T_2 Space. Regular space may not be a Husdorff space.
Compact Space | Every Compact Subspace of Hausdorff Space is Closed
Просмотров 8 тыс.Год назад
What is Compact Space? Show that every compact subspace of a Hausdorff Space is closed
Every Hausdorff Space is T1 Space But Converse May Not Be True | Topology
Просмотров 7 тыс.3 года назад
00:44 Show that every Hausdorff space is T1 space but converse may not be true. 10:38 Show that every subspace of Hausdorff space is Hausdorff Show that every T2 space is T1 space but converse may not be true. Show that every T_2 space is T_1 space but converse may not be true. Show that every subspace of T2 space is T2 space Show that every subspace of T_2 space is T_2 space
Hausdorff Space | Every Metric Space is Hausdorff Space
Просмотров 4,5 тыс.3 года назад
00:18 What is Hausdorff Space? 01:12 Show that every metric space is Hausdorff Space T2 space T_2 space Show that every metric space is T2 space Show that every metric space is T_2 space #Topology
A Topological Space is a T1 Space iff its Each Singleton Subset is a Closed Set | Topology
Просмотров 5 тыс.3 года назад
00:12 A Topological Space is T1 Space if and only if its each singleton subset is closed set 08:31 A Topological Space is T1 space if and only if its each finite subset is a closed set What is T1 Space? ruclips.net/video/8kxvn_Jru2Y/видео.html A Topological Space is T_1 space if and only if its each singleton subset is closed set A Topological Space is T one space if and only if its each single...
T1 Space | Every Subspace of T1 Space is T1 Space | Topology
Просмотров 2 тыс.3 года назад
00:20 What is T1 Space? 03:57 Every Subspace of T1 Space is T1 Space Every Subspace of T_1 Space is T_1 Space What is T_1 Space? Every Subspace of T one Space is T one Space What is T one Space? #Topology
T naught Space | Every Two point coffinite topological space is T naught space
Просмотров 9963 года назад
00:08 What is To Space? 03:05 Show that Every Two point coffinite topological space is To space Every countable topological space is To Space What is T_o Space? What is T_0 Space? What is T0 Space? #Topology
Lindelof Theorem | Every Separable Metric Space is Second Countable | Topoology
Просмотров 9 тыс.3 года назад
00:21 Proof of Lindelof Theorem 05:42 Show that every separable metric space is second countable
Separable Space | Every Second Countable Space is Separable
Просмотров 22 тыс.3 года назад
What is Separable Space? Show that every second countable space is separable. #topology
Every Second Countable Space is Lindelof Space | Topology
Просмотров 12 тыс.3 года назад
Show that every second countable space is Lindelof space. Theorem used in this video ruclips.net/video/GiNFKbE3SXk/видео.html For Complete series of lectures on topology ruclips.net/p/PLflQc8I-IV4TlkBG6t5roQOFAMagWzWHi #Topology
Open Cover | Lindelof Space | A Closed Subspace of Lindelof Space is Lindelof
Просмотров 4,3 тыс.3 года назад
You can directly jump to any of the following topics using time stamps 00:40 What is Open Cover? 02:14 What is Sub Cover? 03:27 What is Lindelof Space? 04:06 Show that a Closed Subspace of Lindelof Space is Lindelof. Open Cover Open Subcover Sub-Cover Open Sub-Cover Lindelof Space Theorem related to lindelof space #Topology
First Countable Space | Second Countable Space | Every Second Countable Space is First Countable
Просмотров 21 тыс.3 года назад
First Countable Space | Second Countable Space | Every Second Countable Space is First Countable
What is Subbase? | What is Local Base or Neighborhood Base? | Topology
Просмотров 1,9 тыс.3 года назад
What is Subbase? | What is Local Base or Neighborhood Base? | Topology
Theorem Related to Open Base in a Topology
Просмотров 4,1 тыс.3 года назад
Theorem Related to Open Base in a Topology
Open Bases in a Topology
Просмотров 4,2 тыс.3 года назад
Open Bases in a Topology
Real Line R and Open Interval (-1,1) are Homeomorphic | Homeomorphism | Topology
Просмотров 10 тыс.3 года назад
Real Line R and Open Interval (-1,1) are Homeomorphic | Homeomorphism | Topology
Closed Mapping | A Bijective Mapping is Closed iff its Inverse is Continuous
Просмотров 9583 года назад
Closed Mapping | A Bijective Mapping is Closed iff its Inverse is Continuous
A Continuous Mapping May or May Not be Open | Open Mapping
Просмотров 2,4 тыс.3 года назад
A Continuous Mapping May or May Not be Open | Open Mapping
Restriction Of a Continuous Function is Also Continuous | Topology
Просмотров 1,6 тыс.3 года назад
Restriction Of a Continuous Function is Also Continuous | Topology
Analyze and Graph the Ellipse
Просмотров 593 года назад
Analyze and Graph the Ellipse
Theorem|A Function is Continuous iff For Any Subset of Y inverse(intA) is Subset of int[inversef(A)]
Просмотров 1,6 тыс.3 года назад
Theorem|A Function is Continuous iff For Any Subset of Y inverse(intA) is Subset of int[inversef(A)]
Analyze and Graph the Hyperbola
Просмотров 263 года назад
Analyze and Graph the Hyperbola
Analyze and Graph the Conic | How to Graph Parabola?
Просмотров 393 года назад
Analyze and Graph the Conic | How to Graph Parabola?
Asymptotes of Hyperbola
Просмотров 383 года назад
Asymptotes of Hyperbola
What is Hyperbola? | How to drive equation of Hyperbola?
Просмотров 493 года назад
What is Hyperbola? | How to drive equation of Hyperbola?
What is Ellipse? | How to Drive Equation of Ellipse?
Просмотров 423 года назад
What is Ellipse? | How to Drive Equation of Ellipse?

Комментарии

  • @DogarUnique
    @DogarUnique 6 дней назад

    ❤ jazakillah

  • @lakshyachandola7398
    @lakshyachandola7398 28 дней назад

    Jhakkas explanation 🎉🎉

  • @DevSharma-wu7jf
    @DevSharma-wu7jf 29 дней назад

    ❤❤❤❤❤❤ Very nice👏👏👏👏😊😊 sir you are great

  • @Abhay_Vishwakarma_01
    @Abhay_Vishwakarma_01 29 дней назад

    😊😊

  • @himanshiarora7569
    @himanshiarora7569 Месяц назад

    Sir aap punjabi ho?

  • @esharajpoot9938
    @esharajpoot9938 Месяц назад

    Great sir bot acha samjia AP na ❤❤❤

  • @rajaashaj8244
    @rajaashaj8244 Месяц назад

  • @shreen9587
    @shreen9587 Месяц назад

    Thank you sir 🙏

  • @Naturalbeauty-wr3mm
    @Naturalbeauty-wr3mm Месяц назад

    Nice method using theorom😂

  • @Abhay_Vishwakarma_01
    @Abhay_Vishwakarma_01 2 месяца назад

    Awesome explanation 😊❤

  • @Adrij-f3t
    @Adrij-f3t 2 месяца назад

    Jai Shree Ram Bhai video aacha bana rhe ho lage raho aacha samjhaye ho 👏

  • @ManotiClaremagoma
    @ManotiClaremagoma 2 месяца назад

    Let x ∈ R. Prove that for every n ∈ N, 3r∈Q:x-r<1/n

  • @mehrajaalam1213
    @mehrajaalam1213 2 месяца назад

    💯

  • @EerapaguPooja
    @EerapaguPooja 2 месяца назад

    Thanks sir

  • @SnehaSalam-dy4mw
    @SnehaSalam-dy4mw 3 месяца назад

    Sir kisi or sir na b 2018 sa la kr 2024 tak Sara solved paper dala ha but Ap ka sol itna easy ha ka m waha sa kr rai but Ap na baki years ka ni dala😢magr thanks Ap k videos ka liya ❤❤❤

  • @yogesh_954
    @yogesh_954 3 месяца назад

    Thank you so much 😊

  • @Rehana-x8b
    @Rehana-x8b 4 месяца назад

    Thanks

  • @Rehana-x8b
    @Rehana-x8b 4 месяца назад

    Thanks

  • @innocentrahul5275
    @innocentrahul5275 4 месяца назад

    Hare Krishna 🙏 Please read Srimad Bhagavad Gita 🙏

  • @irfanrafique-lk2rw
    @irfanrafique-lk2rw 4 месяца назад

    Addition ofrational and irrational number is irrational

  • @rahuljalal5830
    @rahuljalal5830 4 месяца назад

    One doubt how you operate tan^-1 while you don't know function is bijective

  • @Uygʻun-q2c
    @Uygʻun-q2c 5 месяцев назад

    thanks

  • @SYEdZAdi-ShAhG
    @SYEdZAdi-ShAhG 5 месяцев назад

    Masha'Allah,,, Excellent,, Sir

  • @manshipatel1845
    @manshipatel1845 6 месяцев назад

    ❤tq sir 😊

  • @iam_beardman
    @iam_beardman 7 месяцев назад

    Great way to teach 🙌 👏 ❤

  • @bro_whattttt9
    @bro_whattttt9 7 месяцев назад

    thank you

  • @mafianazir-b1p
    @mafianazir-b1p 7 месяцев назад

    ❤❤❤

  • @subhansiraj8034
    @subhansiraj8034 7 месяцев назад

    Dear ap upper f(x) +|f(x) | yeh ly k chaly ho aur bad main negative ket dia....

  • @Aylou07
    @Aylou07 8 месяцев назад

    Thanks to you, I understood the concept of lock and at the same time open, mapped in a function, I hope my like is enough for the moment, excellent video.

  • @shubhamjadhav8259
    @shubhamjadhav8259 8 месяцев назад

    Wrong explanation because we have to check for different x values f(x) First step itself wrong

  • @fatimajamshed2285
    @fatimajamshed2285 8 месяцев назад

    Very nice Concept is successfully delivered sir g.

  • @r.paradox
    @r.paradox 8 месяцев назад

    Yrr or lectures to dalty Sirf 4 topics

  • @Khadim-hk4gr
    @Khadim-hk4gr 8 месяцев назад

    Sir, please share with me no

  • @kalmaltt8830
    @kalmaltt8830 9 месяцев назад

    Thank you sir, Could you solve Prove that there's no rational whose cube is 3, Square is 8 and 12

  • @OnlyIdentity
    @OnlyIdentity 9 месяцев назад

    Something is mistake in last 2 or 3 line ....

  • @schaudhary8175
    @schaudhary8175 10 месяцев назад

    Very helpful ❤

  • @educationblaster4642
    @educationblaster4642 10 месяцев назад

    Nice class sir 👍🏻 , samjh aa gaya. Thanks 😊

  • @Chtalha558
    @Chtalha558 10 месяцев назад

    Sir agr two points le len [a,b] ky darmayan

  • @ImmanFatima-m7m
    @ImmanFatima-m7m 10 месяцев назад

    Thanks Sir ❤

  • @ImmanFatima-m7m
    @ImmanFatima-m7m 10 месяцев назад

    Sir ap konci book sy pahra rhy hyn

  • @nasirnaseer3795
    @nasirnaseer3795 10 месяцев назад

    Sir wo proof krwa da theorem

  • @Afzalkadher
    @Afzalkadher 11 месяцев назад

    Sir condition to ya hoti ha ky n>2

  • @Khadim-hk4gr
    @Khadim-hk4gr 11 месяцев назад

    tnx

  • @hammadibrahim8907
    @hammadibrahim8907 11 месяцев назад

    define closed space

  • @Rabina_invati70
    @Rabina_invati70 Год назад

    Thank you so much sir ji

  • @ibitorucookey-gam7503
    @ibitorucookey-gam7503 Год назад

    Good man thank you so much

  • @uttamyadav537
    @uttamyadav537 Год назад

    Very nice lecture

  • @Gitanjalisinha-p2x
    @Gitanjalisinha-p2x Год назад

    TQ so much sir ji

  • @lakshsingla576
    @lakshsingla576 Год назад

    Good solvation